HMH Go Math

Go Math Grade 3 Chapter 9 Answer Key Pdf: In order to solve real-world mathematical problems, students must understand how the information is related, and analyze the relationships and draw conclusions. This will be possible only when you start from the basics. Download Free Pdf of Go Math Grade 3 Answer Key Chapter 9 Compare Fractions to practice the exercise and homework problems. Write the Mid Chapter Checkpoint test to know how much you learned previously from this chapter.

Compare Fractions Go Math Grade 3 Chapter 9 Answer Key Pdf

The topics included in this chapter are Compare fractions with the same Numerator and Denominators, Equivalent Fractions, Compare and order fractions, and so on. Most of the students feel that fractions are difficult. Don’t worry we have provided the easy way to understand the concept of fractions. The HMH Go Math Grade 3 Answer Key Chapter 9 Compare Fractions helps your child to score the highest marks in the marks. So, practice the problems given in the 3rd Grade Go Math Solution Key Chapter 9 and try to solve the questions provided at the end of the chapter.

Lesson 1: Compare Fractions 

• Compare Fractions – Page No. 509
• Compare Fractions Lesson Check – Page No. 510

Lesson 2: Problem Solving • Compare Fractions 

• Problem Solving Compare Fractions – Page No. 511
• Problem Solving Compare Fractions Lesson Check – Page No. 512

Lesson 3: Compare Fractions with the Same Denominator 

• Compare Fractions with the Same Denominator – Page No. 517
• Compare Fractions with the Same Denominator Lesson Check – Page No. 518

Lesson 4: Compare Fractions with the Same Numerator 

• Compare Fractions with the Same Numerator – Page No. 523
• Compare Fractions with the Same Numerator Lesson Check – Page No. 524

Lesson 5: Compare Fractions 

• Compare Fractions – Page No. 529
• Compare Fractions Lesson Check – Page No. 530

Mid -Chapter Checkpoint

• Mid -Chapter Checkpoint – Page No. 531
• Mid -Chapter Checkpoint Lesson Check – Page No. 532

Lesson 6: Compare and Order Fractions

• Compare and Order Fractions – Page No. 537
• Compare and Order Fractions Lesson Check – Page No. 538

Lesson 7: Model Equivalent Fractions 

• Model Equivalent Fractions – Page No. 543
• Model Equivalent Fractions Lesson Check – Page No. 544

Lesson 9.7 – Page No. 548

Lesson 9: Equivalent Fractions 

• Equivalent Fractions – Page No. 549
• Equivalent Fractions Lesson Check – Page No. 550

Review/ Test

• Review/Test – Page No. 551
• Review/Test – Page No. 552
• Review/Test – Page No. 553
• Review/Test – Page No. 554
• Review/Test – Page No. 555
• Review/Test – Page No. 556

Compare Fractions – Page No. 509

Share and Show

Question 1.
At the park, people can climb a rope ladder to its top. Rosa climbed \(\frac{2}{8}\) of the way up the ladder. Justin climbed \(\frac{2}{6}\) of the way up the ladder. Who climbed higher on the rope ladder?
First, what are you asked to find?
Type below:
____________

Answer: Justin climbed higher on the rope ladder.

Explanation:

Given,
Rosa climbed \(\frac{2}{8}\) of the way up the ladder
Justin climbed \(\frac{2}{6}\) of the way up the ladder
We are asked to find who climbed higher on the rope ladder
By comparing the denominators we can say that Justin Climbed higher than Rosa on the rope ladder.

Go Math Grade 3 Chapter 9 Answer Key Pdf Question 2.
Then, model and compare the fractions.
Type below:
____________

Answer:

Question 3.
Last, find the greater fraction.
\(\frac{2}{6}\) _____ \(\frac{2}{8}\)

Answer: \(\frac{2}{6}\) > \(\frac{2}{8}\)

Explanation:

When comparing fractions such as \(\frac{2}{8}\) and \(\frac{2}{6}\), you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

Question 4.
___________ climbed higher on the rope ladder

Answer: Justin climbed higher on the rope ladder.

Question 5.
What if Cara also tried the rope ladder and climbed \(\frac{2}{4}\) of the way up? Who climbed the highest on the rope ladder: Rosa, Justin, or Cara? Explain how you know.
___________

Answer: If Cara also tried the rope ladder and climbed \(\frac{2}{4}\) of the way up then Cara would have climbed highest on the rope ladder.
Because comparing fractions \(\frac{2}{4}\), \(\frac{2}{6}\), \(\frac{2}{8}\) Cara climbed high among the three. The fraction \(\frac{2}{4}\) is the greater than other 2 fractions. So by seeing this, we can say that Cara climbed highest on the rope ladder.

Compare Fractions – Page No. 510

Use the table for 4–5.

Question 1.
Suri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. Which flavor did Suri use on the most biscuits?
___________

Answer: Raspberry

Explanation:

The above table shows the fraction of jam frosted on the biscuits.
First, check the denominators to compare the fractions.
The denominators are the same. So, Compare with the numerators. The numerator of Raspberry is larger than other two flavors. So, Suri used Raspberry flavor on the most biscuits.

Question 2.
What’s the Question? The answer is strawberry
Type below:
___________

Answer:

Suri is spreading jam on 8 biscuits for breakfast. The table shows the fraction of biscuits spread with each jam flavor. She frosted \(\frac{3}{8}\) of the biscuits with peach jam, \(\frac{4}{8}\) with raspberry jam, and \(\frac{1}{8}\) with strawberry jam. Which flavor of jam did Suri use least on the biscuits?

Question 3.
Suppose Suri had also used plum jam on the biscuits. She frosted \(\frac{1}{2}\) of the biscuits with peach jam, \(\frac{1}{4}\) with raspberry jam, \(\frac{1}{8}\) with strawberry jam, and \(\frac{1}{8}\) with plum jam. Which flavor of jam did Suri use on the most biscuits?
___________

Answer: Peach

Explanation:

The fraction of peach jam is greater than raspberry jam, strawberry jam, and plum jam.
So, the answer is the peach jam.

Question 4.
Ms. Gordon has many snack bar recipes. One recipe uses \(\frac{1}{3}\) cup oatmeal, \(\frac{1}{4}\) vcup of milk, and \(\frac{1}{2}\) cup flour. Which ingredient will Ms. Gordon use the most of?
___________

Answer: flour

\(\frac{1}{2}\) > \(\frac{1}{3}\) and \(\frac{1}{4}\)
So, by comparing fractions we can say that Ms. Gordon uses the most flour for snack bar recipes.

Question 5.
Rick lives \(\frac{4}{6}\) mile from school. Noah lives \(\frac{3}{6}\) mile from school. Use the fractions and symbols to show which distance is longer.

\(\frac{4}{6}\) _____ \(\frac{3}{6}\)

Answer: \(\frac{4}{6}\) > \(\frac{3}{6}\)

Explanation:

First of all, compare the denominators. If the denominators are the same then check the numerators.
Here 4 is greater than 3. So, \(\frac{4}{6}\) > \(\frac{3}{6}\)

Problem Solving Compare Fractions – Page No. 511

Solve.

Question 1.
Luis skates \(\frac{2}{3}\) mile from his home to school. Isabella skates \(\frac{2}{4}\) mile to get to school. Who skates farther?
Think: Use fraction strips to act it out.
Luis

Answer: Luis

Explanation:

Given,
Luis skates \(\frac{2}{3}\) mile from his home to school.
Isabella skates \(\frac{2}{4}\) mile to get to school.
To find Who stakes farther we have to compare the fractions.
\(\frac{2}{3}\), \(\frac{2}{4}\)
The numerator of both fractions is the same and the denominators are different.
So, first, make the denominators equal.
\(\frac{2}{3}\) × \(\frac{4}{4}\) = \(\frac{8}{12}\)
\(\frac{2}{4}\) × \(\frac{3}{3}\) = \(\frac{6}{12}\)
Now denominators are the same.
Compare fractions \(\frac{8}{12}\) and \(\frac{6}{12}\)
8 is greater than 6. So, \(\frac{8}{12}\) > \(\frac{6}{12}\)
Therefore Luis Skates farther to school.

3rd Grade Math Review Pdf Topic 9 Lesson 9.2 Answer Key Question 2.
Sandra makes a pizza. She puts mushrooms on \(\frac{2}{8}\) of the pizza. She adds green peppers to \(\frac{5}{8}\) of the pizza. Which topping covers more of the pizza?
___________

Answer: Green Peppers

Explanation:

Sandra makes a pizza. She puts mushrooms on \(\frac{2}{8}\) of the pizza.
She adds green peppers to \(\frac{5}{8}\) of the pizza.
Compare the fractions of mushrooms and green peppers.
\(\frac{2}{8}\), \(\frac{5}{8}\)
The denominators are the same. So compare the numerators.
2 is lesser than 5. Thus \(\frac{2}{8}\) < \(\frac{5}{8}\)
Thus Green Peppers covers more of the pizza.

Question 3.
The jars of paint in the art room have different amounts of paint. The green paint jar is \(\frac{4}{8}\) full. The purple paint jar is \(\frac{4}{6}\) full. Which paint jar is less full?
The _______ paint jar

Answer: The green paint jar

Explanation:

The jars of paint in the art room have different amounts of paint.
The green paint jar is \(\frac{4}{8}\) full.
The purple paint jar is \(\frac{4}{6}\) full.
The numerators of both the fractions are the same.
Compare the denominators of green paint and purple paint jars.
The denominator with the greatest number will be the smallest fraction.
Therefore \(\frac{4}{8}\) < \(\frac{4}{6}\)
Thus green paint jar is less full.

Question 4.
Jan has a recipe for bread. She uses \(\frac{2}{3}\) cup of flour and \(\frac{1}{3}\) cup of chopped onion. Which ingredient does she use more of, flour or onion?
_______

Answer: Flour

Explanation:

Jan has a recipe for bread. She uses \(\frac{2}{3}\) cup of flour and \(\frac{1}{3}\) cup of chopped onion.
Compare the fraction of flour and onion.
The denominators of both the fractions are the same. So, compare the numerators.
2 is greater than 1. Thus \(\frac{2}{3}\) > \(\frac{1}{3}\)
That means Jan used more flour for bread.

Question 5.
Edward walked \(\frac{3}{4}\) mile from his home to the park. Then he walked \(\frac{2}{4}\) mile from the park to the library. Which distance is shorter?
_______

Answer: \(\frac{2}{4}\) mile

Explanation:

Edward walked \(\frac{3}{4}\) mile from his home to the park.
Then he walked \(\frac{2}{4}\) mile from the park to the library.
To find the shorter distance we have to compare the fractions of Edward from home to park and from park to library.
\(\frac{3}{4}\), \(\frac{2}{4}\)
The denominators of both the fractions are the same.
So compare the numerators.
3 is greater than 2. Thus \(\frac{3}{4}\) > \(\frac{2}{4}\)
Thus the distance from the park to the library is shorter.

Problem Solving Compare Fractions – Page No. 512

Lesson Check

Question 1.
Ali and Jonah collect seashells in identical buckets. When they are finished, Ali’s bucket is \(\frac{2}{6}\) full and Jonah’s bucket is \(\frac{3}{6}\) full. Which of the following correctly compares the fractions?
Options:
a. \(\frac{2}{6}\) = \(\frac{3}{6}\)
b. \(\frac{2}{6}\) > \(\frac{3}{6}\)
c. \(\frac{3}{6}\) < \(\frac{2}{6}\)
d. \(\frac{3}{6}\) > \(\frac{2}{6}\)

Answer: \(\frac{3}{6}\) > \(\frac{2}{6}\)

Explanation:

Given that, Ali and Jonah collect seashells in identical buckets.
When they are finished, Ali’s bucket is \(\frac{2}{6}\) full and Jonah’s bucket is \(\frac{3}{6}\) full
Compare fractions \(\frac{2}{6}\) and \(\frac{3}{6}\)
We observe that the denominators are the same. So, compare the numerators of both the fractions.
3 is greater than 2.
Thus \(\frac{3}{6}\) > \(\frac{2}{6}\)
So, the correct answer is option D.

Question 2.
Rosa paints a wall in her bedroom. She puts green paint on \(\frac{5}{8}\) of the wall and blue paint on \(\frac{3}{8}\) of the wall. Which of the following correctly compares the fractions?
Options:
a. \(\frac{5}{8}\) > \(\frac{3}{8}\)
b. \(\frac{5}{8}\) < \(\frac{3}{8}\)
c. \(\frac{3}{8}\) > \(\frac{5}{8}\)
d. \(\frac{3}{8}\) = \(\frac{5}{8}\)

Answer: \(\frac{5}{8}\) > \(\frac{3}{8}\)

Explanation:

Given:
Rosa paints a wall in her bedroom.
She puts green paint on \(\frac{5}{8}\) of the wall and blue paint on \(\frac{3}{8}\) of the wall.
The denominators are the same so compare the numerators of both the fractions.
5 is greater than 3. So, \(\frac{5}{8}\) > \(\frac{3}{8}\)
Thus the correct answer is option A.

Spiral Review

Question 3.
Dan divides a pie into eightths. How many equal parts are there?
Options:
a. 3
b. 6
c. 8
d. 10

Answer: 8

Dan divides a pie into eightths.
Eighths are nothing but the names of the parts. Eighths is equal to 8.
So, the correct answer is option C.

Question 4.
Which shows equal parts?
a.
b.
c.
d.

Answer:

Explanation:

Among all the figures circle is equally divided into 6 parts.
So, the answer is option B.

Go Math Lesson 9.2 Grade 3 Question 5.
Charles places 30 pictures on his bulletin board in 6 equal rows. How many pictures are in each row?
Options:
a. 3
b. 4
c. 5
d. 6

Answer: 5

Explanation:

Given, Charles places 30 pictures on his bulletin board in 6 equal rows.
Number of pictures in each row = x
x × 6 = 30
x = 30/6 = 5
Therefore there are 5 pictures in each row.

Question 6.
Which of the following describes a pattern in the table?

Options:
a. Add 1.
b. Add 4.
c. Multiply by 2.
d. Multiply by 5.

Answer: Multiply by 5

Explanation:

The above table shows that number of tables is multiplied by 5.
So, the correct answer is option D.

Compare Fractions with the Same Denominator – Page No. 517

Compare. Write <, >, or =.

Question 1.

Answer: \(\frac{3}{4}\) > \(\frac{1}{4}\)

Explanation:

Check whether the denominators of the two fractions are the same.
Here the denominators of \(\frac{3}{4}\) and \(\frac{1}{4}\) are same. So compare the numerators.
3 is greater than 1.
Therefore, \(\frac{3}{4}\) > \(\frac{1}{4}\)

Question 2.
\(\frac{3}{6}\) ______ \(\frac{0}{6}\)

Answer: \(\frac{3}{6}\) > \(\frac{0}{6}\)

Explanation:

First, check whether the denominators of the two fractions are the same or not.
After that compare the numerators.
3 > 0
So, \(\frac{3}{6}\) > \(\frac{0}{6}\)

Question 3.
\(\frac{1}{2}\) ______ \(\frac{1}{2}\)

Answer: \(\frac{1}{2}\) = \(\frac{1}{2}\)

Explanation:

First, compare fractions with the same denominators.
If both are the same, then compare the numerators of both fractions.
The denominators and numerators are same for \(\frac{1}{2}\)
Thus \(\frac{1}{2}\) = \(\frac{1}{2}\)

Question 4.
\(\frac{5}{6}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{5}{6}\) < \(\frac{6}{6}\)

Explanation:

Compare the denominators of the fractions
The denominators of \(\frac{5}{6}\) and \(\frac{6}{6}\)
Now compare the numerators of the fractions.
5 < 6
So, \(\frac{5}{6}\) < \(\frac{6}{6}\)

Chapter 9 Review Test 3rd Grade Answer Key Question 5.
\(\frac{7}{8}\) ______ \(\frac{5}{8}\)

Answer: \(\frac{7}{8}\) > \(\frac{5}{8}\)

Explanation:

Check whether the denominators are the same or not.
The denominator of \(\frac{7}{8}\) and \(\frac{5}{8}\) are same.
Now check the numerators 7 > 5.
Thus \(\frac{7}{8}\) > \(\frac{5}{8}\)

Question 6.
\(\frac{2}{3}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{2}{3}\) = \(\frac{2}{3}\)

Explanation:

Compare the denominators of 2 fractions.
Here numerators and denominators are the same.
So, \(\frac{2}{3}\) = \(\frac{2}{3}\)

Question 7.
\(\frac{8}{8}\) ______ \(\frac{0}{8}\)

Answer: \(\frac{8}{8}\) > \(\frac{0}{8}\)

Explanation:

Check whether the denominators are the same. Now compare the numerators of two fractions.
8 > 0.
So, \(\frac{8}{8}\) > \(\frac{0}{8}\)

Question 8.
\(\frac{1}{6}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{6}\) = \(\frac{1}{6}\)

Explanation:

When the denominators are the same, the whole is divided into the same size pieces. Now compare the numerators of both the fractions.
\(\frac{1}{6}\) = \(\frac{1}{6}\)

Question 9.
\(\frac{3}{4}\) ______ \(\frac{2}{4}\)

Answer: \(\frac{3}{4}\) > \(\frac{2}{4}\)

Explanation:

Check whether the denominators are the same. If same that means the whole is divided into the same size pieces.
The denominators of \(\frac{3}{4}\) and \(\frac{2}{4}\)
Now compare the numerators of both fractions.
3 is greater than 2.
Thus \(\frac{3}{4}\) > \(\frac{2}{4}\)

Question 10.
\(\frac{1}{6}\) ______ \(\frac{2}{6}\)

Answer: \(\frac{1}{6}\) < \(\frac{2}{6}\)

Explanation:

Check whether the denominators are the same. If same that means the whole is divided into the same size pieces.
The denominators of \(\frac{1}{6}\) and \(\frac{2}{6}\)
Now check the numerator 1 is less than 2.
Therefore, \(\frac{1}{6}\) < \(\frac{2}{6}\)

Question 11.
\(\frac{1}{2}\) ______ \(\frac{0}{2}\)

Answer: \(\frac{1}{2}\) > \(\frac{0}{2}\)

Explanation:

When the denominators are the same, the whole is divided into the same pieces. Now check the numerators.
1 is greater than 0
Thus \(\frac{1}{2}\) > \(\frac{0}{2}\)

Question 12.
\(\frac{3}{8}\) ______ \(\frac{3}{8}\)

Answer: \(\frac{3}{8}\) = \(\frac{3}{8}\)

Explanation:

Check the denominators of two fractions. If both are equal then compare the numerators.
The numerators of both fractions are equal.
So, \(\frac{3}{8}\) = \(\frac{3}{8}\)

Question 13.
\(\frac{1}{4}\) ______ \(\frac{4}{4}\)

Answer: \(\frac{1}{4}\) < \(\frac{4}{4}\)

Explanation:

Compare fractions with the same denominators.
The denominators of \(\frac{1}{4}\) and \(\frac{4}{4}\) are same.
Compare numerators 1 and 4.
1 is less than 4.
Thus \(\frac{1}{4}\) < \(\frac{4}{4}\)

Question 14.
\(\frac{5}{8}\) ______ \(\frac{4}{8}\)

Answer: \(\frac{5}{8}\) > \(\frac{4}{8}\)

Explanation:

Check whether the denominators are the same or not.
Now compare the numerators.
5 is greater than 4.
\(\frac{5}{8}\) > \(\frac{4}{8}\)

Question 15.
\(\frac{4}{6}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{4}{6}\) < \(\frac{6}{6}\)

Explanation:

Check whether the denominators of both the fractions are the same or not.
The denominators of \(\frac{4}{6}\) and \(\frac{6}{6}\) are the same.
Now compare the numerators 4 and 6.
4 is less than 6. So, \(\frac{4}{6}\) < \(\frac{6}{6}\)

Problem Solving

Question 16.
Ben mowed \(\frac{5}{6}\) of his lawn in one hour. John mowed \(\frac{4}{6}\) of his lawn in one hour. Who mowed less of his lawn in one hour?
___________

Answer: John

Explanation:

Given,
Ben mowed \(\frac{5}{6}\) of his lawn in one hour.
John mowed \(\frac{4}{6}\) of his lawn in one hour.
Compare the denominators of both the fractions.
As the denominators are the same compare the numerators of the fractions.
4 is less than 5.
\(\frac{4}{6}\) < \(\frac{5}{6}\)
So, John mowed less of his lawn in one hour.

Chapter 9 Go Math Grade 3 Question 17.
Darcy baked 8 muffins. She put blueberries in \(\frac{5}{8}\) of the muffins. She put raspberries in \(\frac{3}{8}\) of the muffins. Did more muffins have blueberries or raspberries?
___________

Answer: Blueberries

Explanation:

Given,
Darcy baked 8 muffins.
She put blueberries in \(\frac{5}{8}\) of the muffins.
She put raspberries in \(\frac{3}{8}\) of the muffins.
\(\frac{5}{8}\) is greater than \(\frac{3}{8}\)
Thus there are more blueberries in muffins.

Compare Fractions with the Same Denominator – Page No. 518

Lesson Check

Question 1.
Julia paints \(\frac{2}{6}\) of a wall in her room white. She paints more of the wall green. Which fraction could show the part of the wall that is green?
Options:
a. \(\frac{1}{6}\)
b. \(\frac{2}{6}\)
c. \(\frac{3}{6}\)
d. \(\frac{0}{6}\)

Answer: \(\frac{3}{6}\)

Explanation:

First compare the denominators of given options and then compare the numerators
A. \(\frac{3}{6}\) < \(\frac{2}{6}\)
B. \(\frac{2}{6}\) = \(\frac{2}{6}\)
C. \(\frac{3}{6}\) > \(\frac{2}{6}\)
D. \(\frac{0}{6}\) < \(\frac{2}{6}\)
So, the answer is option C.

Question 2.
Liam is comparing fraction circles. Which of the following statements is true?
Options:
a. \(\frac{1}{2}\) = \(\frac{1}{2}\)
b. \(\frac{3}{4}\) > \(\frac{4}{4}\)
c. \(\frac{4}{6}\) < \(\frac{3}{6}\)
d. \(\frac{2}{8}\) = \(\frac{3}{8}\)

Answer: \(\frac{1}{2}\) = \(\frac{1}{2}\)

Explanation:

Check whether the denominators are same. If both are same then compare the numerators.
\(\frac{1}{2}\) = \(\frac{1}{2}\)
Option A is the correct answer.

Spiral Review

Question 3.
Mr. Edwards buys 2 new knobs for each of his kitchen cabinets. The kitchen has 9 cabinets. How many knobs does he buy?
Options:
a. 20
b. 18
c. 16
d. 12

Answer: 18

Explanation:

Given, Mr. Edwards buys 2 new knobs for each of his kitchen cabinets.
The kitchen has 9 cabinets.
Number of knobs he buys = x
x = 9 × 2 = 18
Thus the correct answer is option B.

Question 4.
Allie builds a new bookcase with 8 shelves. She can put 30 books on each shelf. How many books can the bookcase hold?
Options:
a. 30
b. 38
c. 240
d. 300

Answer: 240

Explanation:

Given that Allie builds a new bookcase with 8 shelves.
She can put 30 books on each shelf.
Let the number of books can the bookcase hold = y
y = 30 × 8
y = 240
Thus the correct answer is option C.

Question 5.
The Good Morning Café has 28 customers for breakfast. There are 4 people sitting at each table. How many tables are filled?
Options:
a. 8
b. 7
c. 6
d. 4

Answer: 7

Explanation:

The Good Morning Café has 28 customers for breakfast.
There are 4 people sitting at each table.
Number of tables be t
t ×4 = 28
t = 28/4 = 4
Thus the number of tables filled = 7

Question 6.
Ella wants to use the Commutative Property of Multiplication to help find the product 5 × 4. Which number sentence can she use?
Options:
a. 5 + 4 = 10
b. 5 × 5 = 25
c. 5 − 4 = 1
d. 4 × 5 = 20

Answer: 4 × 5 = 20

Explanation:

According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product.
a × b = b × a
5 × 4 = 4 × 5 = 20
So, the correct answer is option D.

Compare Fractions with the Same Numerator – Page No. 523

Compare. Write <, >, or =.

Question 1.

Question 2.
\(\frac{3}{8}\) ______ \(\frac{3}{6}\)

Answer: \(\frac{3}{8}\) < \(\frac{3}{6}\)

Explanation:

When comparing fractions with the same numerator, the fraction with the smaller denominator is greater.
So, \(\frac{3}{8}\) < \(\frac{3}{6}\)

Question 3.
\(\frac{2}{3}\) ______ \(\frac{2}{4}\)

Answer: \(\frac{2}{3}\) > \(\frac{2}{4}\)

Explanation:

Compare the fractions \(\frac{2}{3}\) and \(\frac{2}{4}\)
The numerators of both the fractions are the same. So compare the denominators.
The fraction with the smaller denominator is greater
So, \(\frac{2}{3}\) > \(\frac{2}{4}\)

Question 4.
\(\frac{2}{8}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{2}{8}\) < \(\frac{2}{3}\)

Explanation:

Compare \(\frac{2}{8}\) and \(\frac{2}{3}\)
When comparing fractions with the same numerator, the fraction with the smaller denominator is greater.
\(\frac{2}{8}\) < \(\frac{2}{3}\)

Question 5.
\(\frac{3}{6}\) ______ \(\frac{3}{4}\)

Answer: \(\frac{3}{6}\) < \(\frac{3}{4}\)

Explanation:

Compare the fractions \(\frac{3}{6}\) and \(\frac{3}{4}\)
The numerators are the same and the denominators are different.
The number with the smallest number will be the greatest.
So, \(\frac{3}{6}\) < \(\frac{3}{4}\)

Question 6.
\(\frac{1}{2}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{2}\) > \(\frac{1}{6}\)

Explanation:

When comparing fractions with the same numerator, the fraction with the smaller denominator is greater.
2 is greater than 6.
\(\frac{1}{2}\) > \(\frac{1}{6}\)

Go Math Grade 3 Chapter 9 Pdf Lesson 9.4 Compare Fractions Question 7.
\(\frac{5}{6}\) ______ \(\frac{5}{8}\)

Answer: \(\frac{5}{6}\) > \(\frac{5}{8}\)

Explanation:

We observe that numerators are the same and the denominators are different.
The fraction with the smallest number will be the greatest.
So, \(\frac{5}{6}\) > \(\frac{5}{8}\)

Question 8.
\(\frac{4}{8}\) ______ \(\frac{4}{8}\)

Answer: \(\frac{4}{8}\) = \(\frac{4}{8}\)

Explanation:

The numerators and denominators of both the fractions are the same.
So, \(\frac{4}{8}\) = \(\frac{4}{8}\)

Question 9.
\(\frac{6}{8}\) ______ \(\frac{6}{6}\)

Answer: \(\frac{6}{8}\) < \(\frac{6}{6}\)

Explanation:

Compare the fractions \(\frac{6}{8}\) and \(\frac{6}{6}\)
We observe that numerators are the same and the denominators are different.
So, \(\frac{6}{8}\) < \(\frac{6}{6}\)

Problem Solving

Question 10.
Javier is buying food in the lunch line. The tray of salad plates is \(\frac{3}{8}\) full. The tray of fruit plates is \(\frac{3}{4}\) full. Which tray is more full?
The tray of ______ plates

Answer: The fruit plate tray

Explanation:

Javier is buying food in the lunch line. The tray of salad plates is \(\frac{3}{8}\) full.
The tray of fruit plates is \(\frac{3}{4}\) full.
Compare the fraction of salad plates and fruit plates.
\(\frac{3}{8}\) and \(\frac{3}{4}\)
The numerators are the same. So compare the denominators.
So, \(\frac{3}{8}\) <\(\frac{3}{4}\)
Thus the fruit plate tray is more full than the salad plate tray.

Question 11.
Rachel bought some buttons. Of the buttons, \(\frac{2}{4}\) are yellow and \(\frac{2}{8}\) are red. Rachel bought more of which color buttons?
More _______ buttons

Answer: Yellow

Explanation:

Rachel bought some buttons. Of the buttons, \(\frac{2}{4}\) are yellow and \(\frac{2}{8}\) are red.
Compare \(\frac{2}{4}\) and \(\frac{2}{8}\)
The fraction with the smaller denominator is greater.
\(\frac{2}{4}\) >\(\frac{2}{8}\)
Therefore there are more yellow buttons.

Compare Fractions with the Same Numerator – Page No. 524

Lesson Check

Question 1.
Which symbol makes the statement true?
\(\frac{3}{4}\) O \(\frac{3}{8}\)
a. >
b. <
c. =
d. none

Answer: >

Explanation:

In the above statement, the fractions are of the same numerators. So, we need to check the denominators.
The number with the highest number will be the least fraction.
So, \(\frac{3}{4}\) > \(\frac{3}{8}\)
Thus the correct answer is option A.

Question 2.
Which symbol makes the statement true?
\(\frac{2}{4}\) O \(\frac{2}{3}\)
a. >
b. <
c. =
d. none

Answer: <

Explanation:

The fractions are of the same numerators. So, we need to see the denominators.
The number with the highest number will be the least fraction.
So, \(\frac{2}{4}\) < \(\frac{2}{3}\)
So, the correct answer is option B.

Spiral Review

Question 3.
Anita divided a circle into 6 equal parts and shaded 1 of the parts. Which fraction names the part she shaded?
Options:
a. \(\frac{1}{6}\)
b. \(\frac{1}{5}\)
c. \(\frac{5}{6}\)
d. \(\frac{1}{1}\)

Answer: \(\frac{1}{6}\)

Explanation:

Given that, Anita divided a circle into 6 equal parts and shaded 1 of the parts.
So, the fraction of the shaded part is \(\frac{1}{6}\)
Thus the correct answer is option A.

Question 4.
Which fraction names the shaded part of the rectangle?

Options:
a. \(\frac{1}{8}\)
b. \(\frac{2}{8}\)
c. \(\frac{6}{8}\)
d. \(\frac{8}{8}\)

Answer: \(\frac{2}{8}\)

Explanation:

The rectangle is divided into 8 equal parts. Out of 8 two parts are shaded.
So, the fraction name of the shaded part is \(\frac{2}{8}\)
The correct answer is option B.

Question 5.
Chip worked at the animal shelter for 6 hours each week for several weeks. He worked for a total of 42 hours. Which of the following can be used to find the number of weeks Chip worked at the animal shelter?
Options:
a. 6 + 42
b. 42 − 6
c. 42 ÷ 6
d. 42 × 6

Answer: 42 ÷ 6

Explanation:

Chip worked at the animal shelter for 6 hours each week for several weeks.
Number of hours he worked = 42 hours
Number of weeks he worked at the animal shelter = x
x × 6 = 42
x = 42 ÷ 6
Thus the correct answer is option C.

Question 6.
Mr. Jackson has 20 quarters. If he gives 4 quarters to each of his children, how many children does Mr. Jackson have?
Options:
a. 3
b. 4
c. 5
d. 6

Answer: 5

Explanation:

Given, Mr. Jackson has 20 quarters.
If he gives 4 quarters to each of his children
Number of children Mr. Jackson have = y
y × 4 = 20
y = 20/4 = 5
Therefore, Mr. Jackson has 5 children.

Compare Fractions – Page No. 529

Compare. Write <, >, or =. Write the strategy you used.

Question 1.

Answer: Same Numerator

Question 2.
\(\frac{2}{3}\) ______ \(\frac{7}{8}\)

Answer: \(\frac{2}{3}\) < \(\frac{7}{8}\)

Missing pieces

Explanation:

Compare the fractions \(\frac{2}{3}\), \(\frac{7}{8}\)
The numerators and denominators are different here.
\(\frac{2}{3}\) × \(\frac{8}{8}\) = \(\frac{16}{24}\)
\(\frac{7}{8}\) × \(\frac{3}{3}\) = \(\frac{21}{24}\)
16 is less than 24.
So, \(\frac{16}{24}\) < \(\frac{21}{24}\)
That means \(\frac{2}{3}\) < \(\frac{7}{8}\)

Question 3.
\(\frac{3}{4}\) ______ \(\frac{1}{4}\)

Answer: \(\frac{3}{4}\) > \(\frac{1}{4}\)

Explanation:

The Denominator is the same here. So compare the numerators.
\(\frac{3}{4}\), \(\frac{1}{4}\)
3 is greater than 1.
Thus \(\frac{3}{4}\) > \(\frac{1}{4}\)

Name a fraction that is less than or greater than the given fraction. Draw to justify your answer.

Go Math Grade 3 Chapter 9 Operations with Fractions Answer Key Question 4.
greater than \(\frac{1}{3}\)
Type below:
___________

Answer: \(\frac{2}{3}\)

Explanation:

\(\frac{2}{3}\) is greater than \(\frac{1}{3}\)

Question 5.
less than \(\frac{3}{4}\)
Type below:
___________

Answer: \(\frac{2}{4}\)

Explanation:

\(\frac{2}{4}\) is less than \(\frac{3}{4}\)

Problem Solving

Question 6.
At the third-grade party, two groups each had their own pizza. The blue group ate \(\frac{7}{8}\) pizza. The green group ate \(\frac{2}{8}\) pizza. Which group ate more of their pizza?
The _______ group

Answer: The blue group

Explanation:

Given,
At the third-grade party, two groups each had their own pizza.
The blue group ate \(\frac{7}{8}\) pizza.
The green group ate \(\frac{2}{8}\) pizza.
Compare the fractions of the blue group and green group.
\(\frac{7}{8}\) and \(\frac{2}{8}\)
The denominators are the same here. So compare the numerators.
The numerator with the greatest number will be the greatest fraction.
Therefore \(\frac{7}{8}\) > \(\frac{2}{8}\)
So, the blue group ate more pizza.

Question 7.
Ben and Antonio both take the same bus to school. Ben’s ride is \(\frac{7}{8}\) mile. Antonio’s ride is \(\frac{3}{4}\) mile. Who has a longer bus ride?
___________

Answer: Ben

Explanation:

Ben and Antonio both take the same bus to school.
Ben’s ride is \(\frac{7}{8}\) mile.
Antonio’s ride is \(\frac{3}{4}\) mile.
Compare the fractions \(\frac{7}{8}\), \(\frac{3}{4}\)
Make the denominators equal to compare the fractions.
\(\frac{3}{4}\) × \(\frac{8}{8}\) = \(\frac{24}{32}\)
\(\frac{7}{8}\) × \(\frac{4}{4}\) = \(\frac{28}{32}\)
\(\frac{28}{32}\) > \(\frac{24}{32}\)
\(\frac{7}{8}\) > \(\frac{3}{4}\)
Thus Ben has a longer bus ride.

Compare Fractions – Page No. 530

Lesson Check

Question 1.
Which statement is correct?
Options:
a. \(\frac{2}{3}\) > \(\frac{7}{8}\)
b. \(\frac{2}{3}\) < \(\frac{7}{8}\)
c. \(\frac{2}{3}\) = \(\frac{7}{8}\)
d. \(\frac{7}{8}\) = \(\frac{2}{3}\)

Answer: \(\frac{2}{3}\) < \(\frac{7}{8}\)

Explanation:

A. \(\frac{2}{3}\) > \(\frac{7}{8}\)
Here the numerator of one fraction is greater than the numerator of the other fraction.
So, \(\frac{2}{3}\) is not greater than \(\frac{7}{8}\)
B. \(\frac{2}{3}\) < \(\frac{7}{8}\)
Here the numerator of one fraction is greater than the numerator of the other fraction.
2 is less than 7.
Thus the statement \(\frac{2}{3}\) < \(\frac{7}{8}\) is true.
Option B is the answer.

Question 2.
Which symbol makes the statement true?
\(\frac{2}{4}\) O \(\frac{2}{6}\)
a. >
b. <
c. =
d. none

Answer: >

Explanation:

Compare the fractions \(\frac{2}{4}\) & \(\frac{2}{6}\)
The numerator of both fractions is the same.
So we need to compare the denominators.
The denominator with the greater number will be the smallest fraction.
Therefore, \(\frac{2}{4}\) > \(\frac{2}{6}\)
The correct answer is option A.

Spiral Review

Question 3.
Cam, Stella, and Rose each picked 40 apples. They put all their apples in one crate. How many apples are in the crate?
Options:
a. 40
b. 43
c. 120
d. 123

Answer: 120

Explanation:

Given that, Cam, Stella, and Rose each picked 40 apples.
They put all their apples in one crate.
That means each person picked 40 apples = 40 + 40 + 40 = 120 apples
Therefore there are 120 apples in the crate.
The correct answer is option C.

Question 4.
Each shape is 1 whole. Which fraction is represented by the shaded part of the model?

Options:
a. \(\frac{2}{4}\)
b. \(\frac{4}{4}\)
c. \(\frac{8}{4}\)
d. \(\frac{8}{1}\)

Answer: \(\frac{8}{4}\)

Explanation:

From the figure we observe that there are 2 squares.
Each square is divided into 4 equal parts.
Total number of shaded parts = 4
So, the fraction of 1 whole shaded part is \(\frac{8}{4}\)
Thus the correct answer is option C.

Question 5.
Which related multiplication fact can you use to find
16 ÷ ■ = 2?
Options:
a. 4 × 4 = 16
b. 8 × 2 = 16
c. 8 × 1 = 8
d. 4 × 2 = 8

Answer: 8 × 2 = 16

Explanation:

16 ÷ ■ = 2
■ = 16/2 = 8
So, the related multiplication fact of 16 ÷ ■ = 2 is 8 × 2 = 16.
The correct answer is option B.

Question 6,
What is the unknown factor?
9 × ■ = 36
Options:
a. 7
b. 6
c. 4
d. 3

Answer: 4

Explanation:

■ is the unknown factor
9 × ■ = 36
■ = 36/9 = 4
Thus the correct answer is option C.

Mid -Chapter Checkpoint – Page No. 531

Concepts and Skills

Question 1.
When two fractions refer to the same whole, explain why the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator.
Type below:
___________

Answer: If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.
Example: Let us consider an apple that is divided into equal parts.
If the apple is divided among 2 people.
Then each get \(\frac{1}{2}\) part of the apple.
If the apple is divided among 4 people.
Then each get \(\frac{1}{4}\) part of an apple.
Hence, in the first case, people get more amount of apple than the second.
Hence, if as a whole the denominator is less the fraction is greater.

Question 2.
When two fractions refer to the same whole and have the same denominators, explain why you can compare only the numerators
Type below:
___________

Answer: If the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.
Example:
Let us consider a pizza which is cut into 4 parts.
One person ate 3 pieces then the fraction is \(\frac{3}{4}\)
And the other person ate 1 piece then the fraction is \(\frac{1}{4}\)
Now compare the fractions \(\frac{1}{4}\) and \(\frac{3}{4}\)
First person ate 2 pieces more than the second person.
Hence the fraction with the greater numerator is the greater fraction.

Compare. Write <, >, or =.

Question 3.
\(\frac{1}{6}\) ______ \(\frac{1}{4}\)

Answer: \(\frac{1}{6}\) < \(\frac{1}{4}\)

Explanation:

\(\frac{1}{6}\), \(\frac{1}{4}\)
In this case the numerators are same and the denominators are different.
We know that the two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.
So, \(\frac{1}{6}\) < \(\frac{1}{4}\)

Question 4.
\(\frac{1}{8}\) ______ \(\frac{1}{8}\)

Answer: \(\frac{1}{8}\) = \(\frac{1}{8}\)

Explanation:

Compare the fractions \(\frac{1}{8}\) & \(\frac{1}{8}\)
The numerators and the denominators are the same here. Thus these are the equivalent fractions.
Hence, \(\frac{1}{8}\) = \(\frac{1}{8}\)

Question 5.
\(\frac{2}{8}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{2}{8}\) < \(\frac{2}{3}\)

Explanation:

Compare the fractions \(\frac{2}{8}\) & \(\frac{2}{3}\)
The numerators are the same and the denominators are different.
As we know the denominators with the greatest number will be the smallest fraction.
\(\frac{2}{8}\) < \(\frac{2}{3}\)

Question 6.
\(\frac{4}{2}\) ______ \(\frac{1}{2}\)

Answer: \(\frac{4}{2}\) > \(\frac{1}{2}\)

Explanation:

Compare both the fractions \(\frac{4}{2}\) and \(\frac{1}{2}\)
In this case, the denominators are the same but the numerators are different.
So compare the numerators.
4 is greater than 1.
Thus \(\frac{4}{2}\) > \(\frac{1}{2}\)

Question 7.
\(\frac{7}{8}\) ______ \(\frac{3}{8}\)

Answer: \(\frac{7}{8}\) > \(\frac{3}{8}\)

Explanation:

Comparing the fractions \(\frac{7}{8}\) and \(\frac{3}{8}\)
The denominators are same but the numerators are different.
We know that the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.
7 is greater than 3.
So, \(\frac{7}{8}\) > \(\frac{3}{8}\)

Question 8.
\(\frac{5}{6}\) ______ \(\frac{2}{3}\)

Answer: \(\frac{5}{6}\) > \(\frac{2}{3}\)

Explanation:

Compare the fractions \(\frac{5}{6}\) and \(\frac{2}{3}\)
In this case the numerators and the denominators are different.
So, we have to make the denominators equal.
\(\frac{5}{6}\) × \(\frac{3}{3}\) = \(\frac{15}{18}\)
\(\frac{2}{3}\) × \(\frac{6}{6}\) = \(\frac{12}{18}\)
Now the denominators are same. So compare the numerators 15 is greater than 12.
So, \(\frac{15}{18}\) > \(\frac{12}{18}\)
That means \(\frac{5}{6}\) > \(\frac{2}{3}\)

Question 9.
\(\frac{2}{4}\) ______ \(\frac{3}{4}\)

Answer: \(\frac{2}{4}\) < \(\frac{3}{4}\)

Explanation:

The denominators are the same. So compare the fractions with the numerators.
2 is less than 3.
So, \(\frac{2}{4}\) < \(\frac{3}{4}\)

Question 10.
\(\frac{6}{6}\) ______ \(\frac{6}{8}\)

Answer: \(\frac{6}{6}\) > \(\frac{6}{8}\)

Explanation:

Here the numerators are same but the denominators are different.
We know that denominators with the greatest number will be the smallest fraction.
Therefore, \(\frac{6}{6}\) > \(\frac{6}{8}\)

Question 11.
\(\frac{3}{4}\) ______ \(\frac{7}{8}\)

Answer: \(\frac{3}{4}\) < \(\frac{7}{8}\)

Explanation:

Compare the fractions \(\frac{3}{4}\) and \(\frac{7}{8}\)
The numerators and denominators are different.
So, we have to make the denominators equal.
\(\frac{3}{4}\) × \(\frac{8}{8}\) = \(\frac{24}{32}\)
\(\frac{7}{8}\) × \(\frac{4}{4}\) = \(\frac{28}{32}\)
Now the denominators are equal. So compare the numerators of both the fractions.
\(\frac{24}{32}\) < \(\frac{28}{32}\)
Therefore \(\frac{3}{4}\) < \(\frac{7}{8}\)

Name a fraction that is less than or greater than the given fraction. Draw to justify your answer.

Question 12.
greater than \(\frac{2}{6}\)
Type below:
___________

Answer: \(\frac{4}{6}\)
\(\frac{4}{6}\) > \(\frac{2}{6}\)

Question 13.
less than \(\frac{2}{3}\)
Type below:
___________

Answer: \(\frac{1}{3}\)
\(\frac{1}{3}\) < \(\frac{2}{3}\)

Mid-Chapter Checkpoint – Page No. 532

Question 14.
Two walls in Tiffany’s room are the same size. Tiffany paints \(\frac{1}{4}\) of one wall. Roberto paints \(\frac{1}{8}\) of the other wall. Who painted a greater amount in Tiffany’s room?
___________

Answer: Tiffany

Explanation:

Given that, Two walls in Tiffany’s room are the same size. Tiffany paints \(\frac{1}{4}\) of one wall.
Roberto paints \(\frac{1}{8}\) of the other wall.
The numerators are the same and the denominators are different here.
So, we have to make the denominators same.
\(\frac{1}{4}\) × \(\frac{8}{8}\) = \(\frac{8}{32}\)
\(\frac{1}{8}\) × \(\frac{4}{4}\) = \(\frac{4}{32}\)
Now compare the fractions \(\frac{8}{32}\) and \(\frac{4}{32}\)
8 is greater than 4.
\(\frac{8}{32}\) > \(\frac{4}{32}\)
Therefore, Tiffany painted greater amount than Roberto.

Question 15.
Matthew ran \(\frac{5}{8}\) mile during track practice. Pablo ran \(\frac{5}{6}\) mile. Who ran farther?
___________

Answer: Pablo

Explanation:

Given,
Matthew ran \(\frac{5}{8}\) mile during track practice.
Pablo ran \(\frac{5}{6}\) mile.
Compare the fractions \(\frac{5}{8}\) and \(\frac{5}{6}\)
Numerators are the same and denominators are different.
The denominator with the greatest number will be the smallest fraction.
Thus \(\frac{5}{8}\) < \(\frac{5}{6}\)
Pablo ran farther than Matthew.

Question 16.
Mallory bought 6 roses for her mother. Two-sixths of the roses are red and \(\frac{4}{6}\) is yellow. Did Mallory buy fewer red roses or yellow roses?
___________

Answer: Red Roses

Explanation:

Mallory bought 6 roses for her mother.
Two-sixths of the roses are red and \(\frac{4}{6}\) is yellow.
Compare fractions \(\frac{4}{6}\) and \(\frac{2}{6}\)
The denominators of both the fractions are the same and numerators are different.
4 is greater than 2. So, \(\frac{4}{6}\) > \(\frac{2}{6}\)
Therefore Mallory buys fewer red roses.

Question 17.
Lani used \(\frac{2}{3}\) cup of raisins, \(\frac{3}{8}\) cup of cranberries, and \(\frac{3}{4}\) cup of oatmeal to bake cookies. Which ingredient did Lani use the least amount of?
___________

Answer: Cranberries

Explanation:

Lani used \(\frac{2}{3}\) cup of raisins, \(\frac{3}{8}\) cup of cranberries, and \(\frac{3}{4}\) cup of oatmeal to bake cookies.
Compare the fractions \(\frac{2}{3}\), \(\frac{3}{8}\) and \(\frac{3}{4}\)
The numerators and denominators are different in this case.
The denominator with the highest number will be the smallest fraction.
Therefore Lani used the least amount of cranberries.

Compare and Order Fractions – Page No. 537

Write the fractions in order from greatest to least.

Question 1.

Question 2.
\(\frac{2}{8}\), \(\frac{5}{8}\), \(\frac{1}{8}\)
Type below:
___________

Answer: \(\frac{5}{8}\), \(\frac{2}{8}\), \(\frac{1}{8}\)

Explanation:

The denominators of three fractions are same. So compare the numerators of the fractions.
5 is greater than 2 is greater than 1.
Thus the order of the fraction is \(\frac{5}{8}\), \(\frac{2}{8}\), \(\frac{1}{8}\)

Question 3.
\(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{2}\)
Type below:
___________

Answer: \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{6}\)

Explanation:

Compare the three fractions \(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{2}\)
We observe that the numerators of the fractions are same and the denominators are different.
We know that the denominators with the smallest number will be the greater fraction.
Therefore, \(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{6}\)

Go Math 3rd Grade Pdf Model Equivalent Fractions Lesson 9.6 Question 4.
\(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)
Type below:
___________

Answer: \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Explanation:

Comparing the fractions \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)
The numerators are the same but the denominators are different.
We know that the denominators with the greatest number will be the smallest fraction.
3 is greater than 6 is greater than 8.
So, the order of the fraction is \(\frac{2}{3}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Write the fractions in order from least to greatest.

Question 5.
\(\frac{2}{4}\), \(\frac{4}{4}\), \(\frac{3}{4}\)
Type below:
___________

Answer: \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{4}{4}\)

Explanation:

The denominators are same but the numerators are different.
So compare the numerators of three fractions.
2 < 3 < 4
\(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{4}{4}\)

Question 6.
\(\frac{4}{6}\), \(\frac{5}{6}\), \(\frac{2}{6}\)
Type below:
___________

Answer: \(\frac{2}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\)

Explanation:

Compare the fractions \(\frac{4}{6}\), \(\frac{5}{6}\), \(\frac{2}{6}\)
The denominators are same but the numerators are different.
So compare the numerators of the three fractions.
The order of fractions from least to greatest is \(\frac{2}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\)

Question 7.
\(\frac{7}{8}\), \(\frac{0}{8}\), \(\frac{3}{8}\)
Type below:
___________

Answer: \(\frac{0}{8}\), \(\frac{3}{8}\), \(\frac{7}{8}\)

Explanation:

Compare the fractions \(\frac{7}{8}\), \(\frac{0}{8}\), \(\frac{3}{8}\)
The numerators of the fractions are different. But the denominators are same.
0 < 3 < 7
The order from least to greatest is \(\frac{0}{8}\), \(\frac{3}{8}\), \(\frac{7}{8}\)

Question 8.
\(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)
Type below:
___________

Answer: \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\)

Explanation:

Compare the fractions \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)
The numerators are same but the denominators of the three fractions are different.
So, compare the denominators.
The denominators with the greatest number will be the smallest fraction.
So, the order of fractions from least to greatest is \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\)

Problem Solving

Question 9.
Mr. Jackson ran \(\frac{7}{8}\) mile on Monday. He ran \(\frac{3}{8}\) mile on Wednesday and \(\frac{5}{8}\) mile on Friday. On which day did Mr. Jackson run the shortest distance?
On ___________

Answer: Wednesday

Explanation:

Mr. Jackson ran \(\frac{7}{8}\) mile on Monday.
He ran \(\frac{3}{8}\) mile on Wednesday and \(\frac{5}{8}\) mile on Friday
The denominators of the fractions are the same. So, compare the numerators.
Compare to all Mr. Jackson run the shortest distance on Wednesday.

Question 10.
Delia has three pieces of ribbon. Her red ribbon is \(\frac{2}{4}\) foot long. Her green ribbon is \(\frac{2}{3}\) foot long. Her yellow ribbon is \(\frac{2}{6}\) foot long. She wants to use the longest piece for a project. Which color ribbon should Delia use?
The _______ ribbon

Answer: Green

Explanation:

Delia has three pieces of ribbon. Her red ribbon is \(\frac{2}{4}\) foot long.
Her green ribbon is \(\frac{2}{3}\) foot long.
Her yellow ribbon is \(\frac{2}{6}\) foot long.
Compare the fractions to know which color should Delia use.
\(\frac{2}{4}\), \(\frac{2}{3}\) and \(\frac{2}{6}\)
The numerators of the three fractions are the same but the denominators are different.
\(\frac{2}{3}\) is longest among all.
so, the answer is Green ribbon.

Compare and Order Fractions – Page No. 538

Lesson Check

Question 1.
Which list orders the fractions from least to greatest?
Options:
a. \(\frac{1}{8}\), \(\frac{1}{3}\), \(\frac{1}{6}\)
b. \(\frac{1}{3}\), \(\frac{1}{6}\), \(\frac{1}{8}\)
c. \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\)
d. \(\frac{1}{6}\), \(\frac{1}{8}\), \(\frac{1}{3}\)

Answer: \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\)

Explanation:

When the numerators are the same, think about the denominators to compare and order fractions.
The denominator with the greatest number is the smallest fraction.
\(\frac{1}{8}\) < \(\frac{1}{6}\) < \(\frac{1}{3}\)
So, the order is \(\frac{1}{8}\), \(\frac{1}{6}\), \(\frac{1}{3}\)

Question 2.
Which list orders the fractions from greatest to least?
Options:
a. \(\frac{3}{8}\), \(\frac{3}{6}\), \(\frac{3}{4}\)
b. \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)
c. \(\frac{3}{4}\), \(\frac{3}{8}\), \(\frac{3}{4}\)
d. \(\frac{3}{6}\), \(\frac{3}{4}\), \(\frac{3}{8}\)

Answer: \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)

Explanation:

If the numerators are the same, think about the denominators to compare and order fractions.
The denominators with the smallest number will be the greatest fraction.
\(\frac{3}{4}\) > \(\frac{3}{6}\) > \(\frac{3}{8}\)
Thus the fractions from greatest to least are \(\frac{3}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\)

Spiral Review

Question 3.
What fraction of the group of cars is shaded?

Options:
a. \(\frac{3}{8}\)
b. \(\frac{1}{2}\)
c. \(\frac{5}{8}\)
d. \(\frac{3}{5}\)

Answer: \(\frac{3}{8}\)

Explanation:

Total number of cars = 8
Number of shaded cars among those 8 cars = 3
So, the fraction of the shaded cars = 3/8
Thus the answer is option A.

Question 4.
Wendy has 6 pieces of fruit. Of these, 2 pieces are bananas. What fraction of Wendy’s fruit is bananas?
Options:
a. \(\frac{2}{6}\)
b. \(\frac{2}{4}\)
c. \(\frac{4}{6}\)
d. \(\frac{2}{2}\)

Answer: \(\frac{2}{6}\)

Explanation:

Given that, Wendy has 6 pieces of fruit.
Of these, 2 pieces are bananas.
The fraction of Wendy’s fruit is 2/6
Thus the correct answer is \(\frac{2}{6}\) i.e., option A.

Go Math Grade 3 Lesson 6 Compare and Order Fractions Answer Key Question 5.
Toby collects data and makes a bar graph about his classmates’ pets. He finds that 9 classmates have dogs, 2 classmates have fish, 6 classmates have cats, and 3 classmates have gerbils. Which pet will have the longest bar on the bar graph?
Options:
a. dog
b. fish
c. cat
d. gerbil

Answer: dog

Explanation:

Number of classmates who have dogs = 9
Number of classmates who have fish = 2
Number of classmates who have cats = 6
Number of classmates who have gerbils = 3
So, dogs will have the longest bar on the bar graph.

Question 6.
The number sentence is an example of which multiplication property?
6 × 7 = (6 × 5) + (6 × 2)
Options:
a. Associative
b. Commutative
c. Distributive
d. Identity

Answer: Distributive

Explanation:

6 × 7 = (6 × 5) + (6 × 2)
Here 7 is distributed into 5 + 2
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
So, the answer is option C.

Model Equivalent Fractions – Page No. 543

Shade the model. Then divide the pieces to find the equivalent fraction.

Question 1.

Answer: \(\frac{4}{8}\)
Explanation:

The figure shows that there are 8 equal parts and 4 of them are shaded.
The Fraction of the shaded part is \(\frac{4}{8}\)
Thus, \(\frac{4}{8}\) = \(\frac{2}{4}\)

Question 2.

\(\frac{1}{3}\) = \(\frac{■}{6}\)
\(\frac{□}{□}\)

Answer: \(\frac{2}{6}\)

Explanation:

There are 6 equal parts in which 2 parts are shaded. Now the fraction for the shaded part is \(\frac{2}{6}\)

\(\frac{1}{3}\) = \(\frac{2}{6}\)

Use the number line to find the equivalent fraction.

Question 3.

\(\frac{1}{2}\) = \(\frac{■}{4}\)
\(\frac{□}{□}\)

Answer: \(\frac{2}{4}\)

The fraction \(\frac{1}{2}\) and \(\frac{2}{4}\) lies on the same point.

Therefore, \(\frac{1}{2}\) = \(\frac{2}{4}\)

Go Math Grade 3 Lesson 9.7 Answer Key Question 4.

\(\frac{3}{4}\) = \(\frac{■}{8}\)
\(\frac{□}{□}\)

Answer: \(\frac{6}{8}\)

The above figure shows that the point \(\frac{6}{8}\) and \(\frac{3}{4}\) lies on the same point on the number line.

Thus \(\frac{3}{4}\) = \(\frac{6}{8}\)

Problem Solving

Question 5.
Mike says that \(\frac{3}{3}\) of his fraction model is shaded blue. Ryan says that \(\frac{6}{6}\) of the same model is shaded blue. Are the two fractions equivalent? If so, what is another equivalent fraction?
___________

Answer: \(\frac{2}{2}\)

Explanation:

Mike says that \(\frac{3}{3}\) of his fraction model is shaded blue.
Ryan says that \(\frac{6}{6}\) of the same model is shaded blue.
The two fractions are equivalent.
\(\frac{3}{3}\) = \(\frac{6}{6}\) = \(\frac{2}{2}\)

Question 6.
Brett shaded \(\frac{4}{8}\) of a sheet of notebook paper. Aisha says he shaded \(\frac{1}{2}\) of the paper. Are the two fractions equivalent? If so, what is another equivalent fraction?
___________

Answer: \(\frac{2}{4}\)

Explanation:

\(\frac{1}{2}\) = \(\frac{4}{8}\)
So, the two fractions are equivalent.
The another equivalent fraction is \(\frac{2}{4}\).

Model Equivalent Fractions – Page No. 544

Lesson Check

Question 1.
Find the fraction equivalent to \(\frac{2}{3}\).

Options:
a. \(\frac{3}{2}\)
b. \(\frac{4}{6}\)
c. \(\frac{3}{6}\)
d. \(\frac{1}{3}\)

Answer: \(\frac{4}{6}\)

\(\frac{2}{3}\) = \(\frac{4}{6}\)

Go Math Grade 3 Chapter 9 Review Test Answer Key Question 2.
Find the fraction equivalent to \(\frac{1}{4}\).

Options:
a. \(\frac{1}{2}\)
b. \(\frac{2}{4}\)
c. \(\frac{2}{8}\)
d. \(\frac{6}{8}\)

Answer: \(\frac{2}{8}\)

Explanation:

The fugure shows that the \(\frac{1}{4}\) and \(\frac{2}{8}\) lies on the same point.
So, the equivalent fraction of \(\frac{1}{4}\) is \(\frac{2}{8}\)
Thus the correct answer is option C.

Spiral Review

Question 3.
Eric practiced piano and guitar for a total of 8 hours this week. He practiced the piano for \(\frac{1}{4}\) of that time. How many hours did Eric practice the piano this week?
Options:
a. 6 hours
b. 4 hours
c. 3 hours
d. 2 hours

Answer: 2 hours

Explanation:

Eric practiced piano and guitar for a total of 8 hours this week.
He practiced the piano for \(\frac{1}{4}\) of that time.
To find how many hours did Eric practice the piano this week
You need to multiply the total number of hours with a fraction of the time he practiced.
8 ×  \(\frac{1}{4}\) = 2 hours
Thus the correct answer is option D.

Question 4.
Kylee bought a pack of 12 cookies. One-third of the cookies are peanut butter. How many of the cookies in the pack are peanut butter?
Options:
a. 9
b. 6
c. 4
d. 3

Answer: 4

Explanation:

Given,
Kylee bought a pack of 12 cookies.
One-third of the cookies are peanut butter.
To find the number of cookies in the pack is peanut butter.
Multiply number of cookies with a fraction of cookies are peanut butter
12 × \(\frac{1}{3}\) = 4
So, the correct answer is option C.

Question 5.
There are 56 students going to the game. The coach puts 7 students in each van. Which number sentence can be used to find how many vans are needed to take the students to the game?
Options:
a. 56 + 7 = ■
b. ■ + 7 = 56
c. ■ × 7 = 56
d. 56 − 7 = ■

Answer: ■ × 7 = 56

Explanation:

There are 56 students going to the game.
The coach puts 7 students in each van.
Let ■ be the number of vans
56 ÷ 7 = ■
■ × 7 = 56
■ = 8
Thus the correct answer is option C.

Question 6.
Which number sentence can be used to describe the picture?

Options:
a. 2 + 4 = 6
b. 4 − 2 = 2
c. 4 × 1 = 4
d. 8 ÷ 2 = 4

Answer: 8 ÷ 2 = 4

Explanation:

Number of counters = 8
Number of equal groups = 4
Number in each group = 2
The division equation is 8 ÷ 2 = 4
So, the answer is option D.

Lesson 9.7 – Page No. 548

Question 13.
Christy bought 8 muffins. She chose 2 apple, 2 banana, and 4 blueberry. She and her family ate the apple and banana muffins for breakfast. What fraction of the muffins did they eat? Write an equivalent fraction. Draw a picture.
\(\frac{□}{□}\)

Answer: \(\frac{4}{8}\)

Explanation:

Given:
Christy bought 8 muffins.
She chose 2 apples, 2 bananas, and 4 blueberries. She and her family ate the apple and banana muffins for breakfast.
They had 2 apples and 2 banana muffins for their breakfast.
Only 4 blueberries are left out of 8 muffins.
The fraction of the muffins they ate = \(\frac{4}{8}\) or \(\frac{1}{2}\)

Go Math Third Grade Pdf Chapter 9 Review Test Question 14.
After dinner, \(\frac{2}{3}\) of the cornbread is left. Suppose 4 friends want to share it equally. What fraction names how much of the whole pan of cornbread each friend will get? Use the model on the right. Explain your answer.

\(\frac{□}{□}\)

Answer: \(\frac{1}{6}\)

Explanation:

To know the fraction of the whole pan of cornbread that each friend gets. I divide each third into 2 equal pieces to get 4 pieces in all.
\(\frac{2}{3}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\)
That means each friend gets \(\frac{1}{6}\) of cornbread of the whole pan.

Question 15.
There are 16 people having lunch. Each person wants \(\frac{1}{4}\) of a pizza. How many whole pizzas are needed? Draw a picture to show your answer.
______ pizzas

Answer: 4 pizzas

Explanation:

Given that, There are 16 people having lunch.
Each person wants \(\frac{1}{4}\) of a pizza.
Multiply the total number of people by a fraction of each pizza for one person.
= 16 × \(\frac{1}{4}\)
= 16/4 = 4
Therefore 4 pizzas are needed for 16 people.

Question 16.
Lucy has 5 oatmeal bars, each cut in half. What fraction names all of the oatmeal bar halves?

\(\frac{□}{□}\)

Answer: \(\frac{10}{2}\)

Explanation:

Lucy has 5 oatmeal bars, each cut in half.
Total number of oatmeal bars = 5
5 oatmeal bars are divided into halves = 5 + 5 = 10
So. the fraction name for all of the oatmeal bar halves = \(\frac{10}{2}\)

Question 16.
What if Lucy cuts each part of the oatmeal bar into 2 equal pieces to share with friends? What fraction names all of the oatmeal bar pieces now?
\(\frac{□}{□}\)

Answer: \(\frac{10}{2}\)

Explanation:

The above figure shows that there are 5 oatmeal bars.
And each oatmeal bar is divided into halves = 5 × 2 = 10
The fraction for the all of the oatmeal bar halves = \(\frac{10}{2}\)
The equivalent fraction of \(\frac{10}{2}\) is \(\frac{20}{4}\)

Question 17.
Mr. Peters made a pizza. There is \(\frac{4}{8}\) of the pizza left over. Select the fractions that are equivalent to the part of the pizza that is left over. Mark all that apply.

Options:
a. \(\frac{5}{8}\)
b. \(\frac{3}{4}\)
c. \(\frac{2}{4}\)
d. \(\frac{1}{2}\)

Answer: \(\frac{2}{4}\)

Explanation:

Mr. Peters made a pizza. There is \(\frac{4}{8}\) of the pizza left over.
The equivalent fraction of \(\frac{4}{8}\) is \(\frac{2}{4}\)
So, the correct answer is option C.

Equivalent Fractions – Page No. 549

Each shape is 1 whole. Shade the model to find the equivalent fraction.

Question 1.

Answer: \(\frac{3}{6}\)

Explanation:

The circle is divided into 6 equal groups. Each group is \(\frac{1}{6}\) of the whole circle.
There are 3 shaded parts in the circle.
So, the fraction of the shaded part is \(\frac{3}{6}\).
\(\frac{1}{2}\) = \(\frac{3}{6}\)

Question 2.

\(\frac{3}{4}\) = \(\frac{6}{■}\)
\(\frac{□}{□}\)

Answer: \(\frac{6}{8}\)

Explanation:

The square is divided into 8 equal parts. Each group is \(\frac{1}{8}\) of the whole square.
There are 6 shaded parts in the square.
Thus the fraction of the shaded part is 6/8
So, \(\frac{3}{4}\) = \(\frac{6}{8}\)

Circle equal groups to find the equivalent fraction.

Question 3.

\(\frac{2}{4}\) = \(\frac{■}{2}\)
\(\frac{□}{□}\)

Answer: \(\frac{1}{2}\)

Explanation:

Rectangle is divided into 4 equal parts. The fraction of each group is 1/4.
There are 2 shaded parts out of 4 = \(\frac{2}{4}\)
latex]\frac{2}{4}[/latex] = \(\frac{1}{2}\)

Question 4

\(\frac{4}{6}\) = \(\frac{■}{3}\)
\(\frac{□}{□}\)

Answer: \(\frac{2}{3}\)

Explanation:

The figure shows that the rectangle is divided into 6 equal parts and 4 are shaded among them.
The fraction of the shaded part is \(\frac{4}{6}\)
We can also write it as \(\frac{2}{3}\)
Thus, \(\frac{4}{6}\) = \(\frac{2}{3}\)

Problem Solving

Question 5.
May painted 4 out of 8 equal parts of a poster board blue. Jared painted 2 out of 4 equal parts of a same-size poster board red. Write fractions to show which part of the poster board each person painted.
Type below:
____________

Answer: May \(\frac{4}{8}\); Jared \(\frac{2}{4}\)

Explanation:

Given that, May painted 4 out of 8 equal parts of a poster board blue.
4 parts are shaded out of 8 parts. So, the fraction of the shaded part is \(\frac{4}{8}\)
Jared painted 2 out of 4 equal parts of a same-size poster board red.
The fraction of the shaded part is \(\frac{2}{4}\)

Question 6.
Are the fractions equivalent? Draw a model to explain.
____________

Answer: Yes

Equivalent Fractions – Page No. 550

Lesson Check

Question 1.
Which fraction is equivalent to \(\frac{6}{8}\)?

Options:
a. \(\frac{1}{4}\)
b. \(\frac{1}{3}\)
c. \(\frac{3}{4}\)
d. \(\frac{4}{6}\)

Answer: \(\frac{3}{4}\)

Explanation:

\(\frac{6}{8}\) = \(\frac{3}{4}\)
So, the correct answer is option C.

Question 2.
Which fraction is equivalent to \(\frac{1}{3}\) ?

Options:
a. \(\frac{1}{6}\)
b. \(\frac{2}{8}\)
c. \(\frac{2}{6}\)
d. \(\frac{2}{3}\)

Answer: \(\frac{2}{6}\)

Explanation:

\(\frac{1}{3}\) = \(\frac{2}{6}\)
The correct answer is option C.

Spiral Review

Question 3.
Which number sentence is shown by the array?

Options:
a. 8 − 2 = 6
b. 8 × 1 = 8
c. 2 + 8 = 10
d. 16 ÷ 2 = 8

Answer: 16 ÷ 2 = 8

Explanation:

Number of counters = 16
Number of rows = 2
Divide the Number of counters by the number of rows
= 16 ÷ 2 = 8
Thus the correct answer is option D.

Go Math Grade 3 Chapter 9 Answer Key Question 4.
Cody put 4 plates on the table. He put 1 apple on each plate. Which number sentence can be used to find the total number of apples on the table?
Options:
a. 4 + 1 = 5
b. 4 − 1 = 3
c. 4 × 1 = 4
d. 4 ÷ 2 = 2

Answer: 4 × 1 = 4

Explanation:

Cody put 4 plates on the table.
He put 1 apple on each plate.
The total number of apples on each table = 4 × 1 = 4
So, the correct answer is option C.

Question 5.
Which number sentence is a related fact to 7 × 3 = 21?
Options:
a. 7 + 3 = 10
b. 7 − 3 = 4
c. 7 × 2 = 14
d. 21 ÷ 3 = 7

Answer: 21 ÷ 3 = 7

Explanation:

The related division fact of 7 × 3 = 21 is 21 ÷ 3 = 7
The correct answer is option D.

Question 6.
Find the quotient.
4)\(\bar{3 6}\)
Options:
a. 9
b. 8
c. 7
d. 6

Answer: 9

Explanation:

36 ÷ 4 = 9
4 divides 36 nine times. So the quotient is 9.
So, the correct answer is option A.

Review/Test – Page No. 551

Question 1.
Alexa and Rose read books that have the same number of pages. Alexa’s book is divided into 8 equal chapters. Rose’s book is divided into 6 equal chapters. Each girl has read 3 chapters of her book.
Write a fraction to describe what part of the book each girl read. Then tell who read more pages. Explain.
Type below:
_____________

Answer: Rose read more pages than Alexa

Explanation:

Given that,
Alexa and Rose read books that have the same number of pages.
Alexa’s book is divided into 8 equal chapters.
Rose’s book is divided into 6 equal chapters.
Each girl has read 3 chapters of her book.
The fraction of Alexa’s book = \(\frac{3}{8}\)
The fraction of Rose’s book = \(\frac{3}{6}\)
Now, compare the fractions to find who read more pages.
\(\frac{3}{8}\) & \(\frac{3}{6}\)
The numerators of the two fractions are the same. So compare the denominators.
The denominator of the greater number will be the smallest fraction.
\(\frac{3}{8}\) < \(\frac{3}{6}\)
By this, we can say that Rose read more pages than Alexa.

Question 2.
David, Maria, and Simone are shading same-sized index cards for a science project. David shaded \(\frac{2}{4}\) of his index card. Maria shaded \(\frac{2}{8}\) of her index card and Simone shaded \(\frac{2}{6}\) of her index card.
For 2a–2d, choose Yes or No to indicate whether the comparisons are correct.
a. \(\frac{2}{4}\) > \(\frac{2}{8}\)
i. yes
ii. no

Answer: Yes

Explanation:

\(\frac{2}{4}\) > \(\frac{2}{8}\)
The denominators with the smallest number will be the greatest fraction.
Thus the statement \(\frac{2}{4}\) > \(\frac{2}{8}\) is true.

Question 2.
b. \(\frac{2}{8}\) > \(\frac{2}{6}\)
i. yes
ii. no

Answer: No

Explanation:

\(\frac{2}{8}\) > \(\frac{2}{6}\)
The numerators are same so compare the denominators.
The denominator with the greatest number will be the smallest fraction.
\(\frac{2}{8}\) < \(\frac{2}{6}\)
Thus the statement is false.

Question 2.
c. \(\frac{2}{6}\) < \(\frac{2}{4}\)
i. yes
ii. no

Answer: Yes

Explanation:

\(\frac{2}{6}\), \(\frac{2}{4}\)
The numerators are same so compare the denominators.
The denominator with the greatest number will be the smallest fraction.
\(\frac{2}{6}\) < \(\frac{2}{4}\)
Thus the statement is correct.

Question 2.
d. \(\frac{2}{8}\) = \(\frac{2}{4}\)
i. yes
ii. no

Answer: No

Explanation:

\(\frac{2}{8}\) = \(\frac{2}{4}\)
The numerators and denominators are different.
So, \(\frac{2}{8}\) is not equal to \(\frac{2}{4}\)
The statement is false.

Go Math Grade 3 Chapter 9 Pdf Question 3.
Dan and Miguel are working on the same homework assignment. Dan has finished \(\frac{1}{4}\) of the assignment. Miguel has finished \(\frac{3}{4}\) of the assignment. Which statement is correct? Mark all that apply.
Options:
a. Miguel has completed the entire assignment.
b. Dan has not completed the entire assignment.
c. Miguel has finished more of the assignment than Dan.
d. Dan and Miguel have completed equal parts of the assignment.

Answer: B & C are the correct statements.

Explanation:

Given, Dan and Miguel are working on the same homework assignment.
Dan has finished \(\frac{1}{4}\) of the assignment.
Miguel has finished \(\frac{3}{4}\) of the assignment.
A. Miguel has completed the entire assignment.
Miguel has finished \(\frac{3}{4}\) of the assignment. So the statement is false.
B. Dan has not completed the entire assignment.
Dan has finished \(\frac{1}{4}\) of the assignment. So the statement is true.
C. Miguel has finished more of the assignment than Dan.
\(\frac{3}{4}\) > \(\frac{1}{4}\)
So, the statement is true.
D. Dan and Miguel have completed equal parts of the assignment.
\(\frac{3}{4}\) is not equal to \(\frac{1}{4}\)
Thus the statement is false.
So the correct answer is B & C.

Review/Test – Page No. 552

Question 4.
Bryan cut two peaches that were the same size for lunch. He cut one peach into fourths and the other into sixths. Bryan ate \(\frac{3}{4}\) of the first peach. His brother ate \(\frac{5}{6}\) of the second peach. Who ate more peach? Explain the strategy you used to solve the problem.
___________

Answer: Bryan’s brother

Explanation:

Given that,
Bryan cut two peaches that were the same size for lunch.
He cut one peach into fourths and the other into sixths.
Bryan ate \(\frac{3}{4}\) of the first peach.
His brother ate \(\frac{5}{6}\) of the second peach.
Compare the fractions \(\frac{3}{4}\) and \(\frac{5}{6}\)
The numerators and denominators are different.
\(\frac{3}{4}\) × \(\frac{6}{6}\) = \(\frac{18}{24}\)
\(\frac{5}{6}\) × \(\frac{3}{4}\) = \(\frac{15}{24}\)
\(\frac{15}{24}\) < \(\frac{18}{24}\)
By this we can say that Bryan’s brother ate more peach.

Question 5.
A nature center offers 2 guided walks. The morning walk is \(\frac{2}{3}\) mile. The evening walk is \(\frac{3}{6}\) mile. Which walk is shorter? Explain how you can use the model to find the answer.

___________

Answer: Evening walk

Explanation:

Given, The morning walk is \(\frac{2}{3}\) mile
The evening walk is \(\frac{3}{6}\) mile.
The shorter among both is \(\frac{3}{6}\) i.e, evening walk

\(\frac{2}{3}\) > \(\frac{3}{6}\)

Question 6.
Chun lives \(\frac{3}{8}\) mile from school. Gail lives \(\frac{5}{8}\) mile from school. Use the fractions and symbols to show which distance is longer.

\(\frac{□}{□}\) mile

Answer: \(\frac{3}{8}\) < \(\frac{5}{8}\)

Explanation:

Given,
Chun lives \(\frac{3}{8}\) mile from school.
Gail lives \(\frac{5}{8}\) mile from school.
Denominators are the same so we have to compare the numerators.
3 is less than 5. \(\frac{3}{8}\) < \(\frac{5}{8}\)

Review/Test – Page No. 553

Question 7.
Mrs. Reed baked four pans of lasagna for a family party. Use the rectangles to represent the pans.

Part A
Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds, one into fourths, one into sixths, and one into eighths.
Type below:
___________

Answer:

Mrs. Reed could cut one pan of lasagna into thirds:

Mrs. Reed could cut one pan of lasagna into fourths:

Mrs. Reed could cut one pan of lasagna into sixths:

Mrs. Reed could cut one pan of lasagna into eighths:

Question 7.
Part B
At the end of the dinner, equivalent amounts of lasagna in two pans were left. Use the models to show the lasagna that might have been left over. Write two pairs of equivalent fractions to represent the models.
Type below:
___________

Answer:

\(\frac{1}{3}\) = \(\frac{2}{6}\)

\(\frac{1}{4}\) = \(\frac{2}{8}\)

Question 8.
Tom rode his horse for \(\frac{4}{6}\) mile. Liz rode her horse for an equal distance. What is an equivalent fraction that describes how far Liz rode? Use the models to show your work.

\(\frac{4}{6}\) = \(\frac{□}{□}\)

Answer: \(\frac{4}{6}\) = \(\frac{2}{3}\)

Explanation:

The above figure shows that the fraction of the first figure \(\frac{4}{6}\) is equal to the fraction of the second figure i.e., \(\frac{2}{3}\).

Question 9.
Avery prepares 2 equal-size oranges for the bats at the zoo. One dish has \(\frac{3}{8}\) of an orange. Another dish has \(\frac{1}{4}\) of an orange. Which dish has more orange? Show your work. \(\frac{□}{□}\)

Answer: First, we need to find an equivalent fraction to \(\frac{1}{4}\) so it would have the same denominator as \(\frac{3}{8}\)
\(\frac{1}{4}\) = \(\frac{2}{8}\) – equivalent fractions
Now we can compare the fractions:
\(\frac{2}{8}\) < \(\frac{3}{8}\)
Therefore \(\frac{1}{4}\) < \(\frac{3}{8}\)
So, the answer is \(\frac{3}{8}\)

Review/Test – Page No. 554

Question 10.
Jenna painted \(\frac{1}{8}\)of one side of a fence. Mark painted \(\frac{1}{6}\) of the other side of the same fence. Use >, =, or < to compare the parts that they painted.
\(\frac{1}{8}\) ______ \(\frac{1}{6}\)

Answer: \(\frac{1}{8}\) < \(\frac{1}{6}\)

Explanation:

Jenna painted \(\frac{1}{8}\)of one side of a fence.
Mark painted \(\frac{1}{6}\) of the other side of the same fence.
The numerators of both fractions are the same. So compare the denominators.
\(\frac{1}{8}\) & \(\frac{1}{6}\)
The denominator with the greatest number will be the smallest fraction.
So, \(\frac{1}{8}\) < \(\frac{1}{6}\)

Question 11.
Bill used \(\frac{1}{3}\) cup of raisins and \(\frac{2}{3}\) cup of banana chips to make a snack. For 11a–11d, select True or False for each comparison.
a. \(\frac{1}{3}\) > \(\frac{2}{3}\)
i. True
ii. False

Answer: False

Explanation:

The denominators are the same here. So check the numerators.
1 is less than 2.
\(\frac{1}{3}\) > \(\frac{2}{3}\)
The statement is false.

Question 11.
b. \(\frac{2}{3}\) = \(\frac{1}{3}\)
i. True
ii. False

Answer: False

Explanation:

The denominators and numerators are not equal in this equation.
So, the statement is false.

Question 11.
c. \(\frac{1}{3}\) < \(\frac{2}{3}\)
i. True
ii. False

Answer: True

Explanation:

The denominators of both the fractions are the same.
Compare the numerators. 1 is less than 2.
So, \(\frac{1}{3}\) < \(\frac{2}{3}\).
The statement is true.

Question 11.
d. \(\frac{2}{3}\) > \(\frac{1}{3}\)
i. True
ii. False

Answer: True

Explanation:

The denominators of both the fractions are the same.
Compare the numerators. 2 is greater than 1.
\(\frac{2}{3}\) > \(\frac{1}{3}\)
The statement is true.

Question 12.
Jorge, Lynne, and Crosby meet at the playground. Jorge lives \(\frac{5}{6}\) mile from the playground. Lynne lives \(\frac{4}{6}\) mile from the playground. Crosby lives \(\frac{7}{8}\) mile from the playground.
Part A
Who lives closer to the playground, Jorge or Lynne?
Explain how you know.
_____

Answer: Lynne

Explanation:

Jorge lives \(\frac{5}{6}\) mile from the playground.
Lynne lives \(\frac{4}{6}\) mile from the playground.
The denominators are the same. So, compare the numerators.
5 is greater than 4. So, \(\frac{5}{6}\) > \(\frac{4}{6}\)
Therefore, Lynne lives closer to the playground.

Question 12.
Part B
Who lives closer to the playground, Jorge or Crosby?
Explain how you know.
_____

Answer: Jorge

Explanation:

Jorge lives \(\frac{5}{6}\) mile from the playground.
Crosby lives \(\frac{7}{8}\) mile from the playground.
Compare the fraction of both Jorge and Crosby.
\(\frac{5}{6}\) × \(\frac{8}{8}\) = \(\frac{40}{48}\)
\(\frac{7}{8}\) × \(\frac{6}{6}\) = \(\frac{42}{48}\)
\(\frac{40}{48}\) < \(\frac{42}{48}\)
Therefore, Jorge lives closer to the playground.

Review/Test – Page No. 555

Question 13.
Ming needs \(\frac{1}{2}\) pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He wants to use only 1 jar of paint. Mark all of the jars of paints that Ming could use.
Options:
a. \(\frac{2}{3}\) pint
b. \(\frac{1}{4}\) pint
c. \(\frac{4}{6}\) pint
d. \(\frac{3}{4}\) pint
e. \(\frac{3}{8}\) pint
f. \(\frac{2}{6}\) pint

Answer: \(\frac{2}{3}\) pint, \(\frac{3}{4}\) pint, \(\frac{4}{6}\) pint

Explanation:

We have to find all the jars that have an amount of paint greater than \(\frac{1}{2}\)
A. \(\frac{2}{3}\) pint > \(\frac{1}{2}\)
B. \(\frac{1}{4}\) pint < \(\frac{1}{2}\)
C. \(\frac{4}{6}\) pint > \(\frac{1}{2}\)
D. \(\frac{3}{4}\) pint < \(\frac{1}{2}\)
E. \(\frac{3}{8}\) pint < \(\frac{1}{2}\)
F. \(\frac{2}{6}\) pint < \(\frac{1}{2}\)

Question 14.
There are 12 people having lunch. Each person wants \(\frac{1}{3}\) of a sub sandwich. How many whole sub sandwiches are needed? Use the models to show your answer.

______ sub sandwiches

Answer: 4 sub sandwiches

Explanation:

Given that, There are 12 people having lunch.
Each person wants \(\frac{1}{3}\) of a sub sandwich.
Multiply the number of people with Each person wants of a sub sandwich.
12 × \(\frac{1}{3}\)
3 divides 12 four times. So, the answer is 4 sub sandwiches.

Question 15.
Mavis mixed \(\frac{2}{4}\) quart of apple juice with \(\frac{1}{2}\) quart of cranberry juice. Compare the fractions. Choose the symbol that makes the statement true.
\(\frac{2}{4}\) \(\frac{1}{2}\)
______

Answer:  \(\frac{2}{4}\) = \(\frac{1}{2}\)

Question 16.
Pat has three pieces of fabric that measure \(\frac{3}{6}\), \(\frac{5}{6}\), and \(\frac{2}{6}\) yards long. Write the lengths in order from least to greatest.
Type below:
___________

Answer: \(\frac{2}{6}\), \(\frac{3}{6}\), \(\frac{5}{6}\)

Explanation:

The denominators of \(\frac{3}{6}\), \(\frac{5}{6}\), and \(\frac{2}{6}\) are same. So, Compare the numerators 2 < 3, 5

Review/Test – Page No. 556

Question 17.
Cora measures the heights of three plants. Draw a line to match each height on the left to the word on the right that describes its place in the order of heights.

Type below:
___________

Answer:

Explanation:

\(\frac{4}{6}\) < \(\frac{4}{4}\)
\(\frac{4}{8}\) < \(\frac{4}{4}\)
\(\frac{4}{6}\) > \(\frac{4}{8}\)
The numerators are same. So, compare the denominators. The greatest fraction will have the lesser denominator.
\(\frac{4}{8}\) < \(\frac{4}{6}\) < \(\frac{4}{4}\).

Question 18.
Danielle drew a model to show equivalent fractions.

Use the model to complete the number sentence.
\(\frac{1}{2}\) = \(\frac{□}{□}\) = \(\frac{□}{□}\)
Type below:
___________

Answer: \(\frac{1}{2}\) = \(\frac{2}{4}\) = \(\frac{4}{8}\)

Total number of boxes are 4 and each are grouped into 2 = 8
Out of 4 boxes 2 boxes are shaded = \(\frac{2}{4}\)
\(\frac{2}{4}\) = \(\frac{1}{2}\)
Next out of 8 grouped squares 4 are shaded = \(\frac{4}{8}\)
\(\frac{4}{8}\) = \(\frac{1}{2}\)
Therefore the equivalent fractions are \(\frac{1}{2}\) = \(\frac{2}{4}\) = \(\frac{4}{8}\)

Question 19.
Floyd caught a fish that weighed \(\frac{2}{3}\) pound. Kira caught a fish that weighed \(\frac{7}{8}\) pound. Whose fish weighed more? Explain the strategy you used to solve the problem.
_____

Answer: Kira

Explanation:

We need to find equivalent fractions with the same denominator:
So Make the denominators of \(\frac{2}{3}\) and \(\frac{7}{8}\) equal.
\(\frac{2}{3}\) × \(\frac{8}{8}\) = \(\frac{16}{24}\)
\(\frac{7}{8}\) × \(\frac{3}{3}\) = \(\frac{21}{24}\)
\(\frac{16}{24}\) < \(\frac{21}{24}\)
Therefore \(\frac{2}{3}\) < \(\frac{7}{8}\)

Question 20.
Sam went for a ride on a sailboat. The ride lasted \(\frac{3}{4}\) hour.

What fraction is equivalent to \(\frac{3}{4}\)?
\(\frac{□}{□}\)

Answer: \(\frac{6}{8}\)

Explanation:

Total number of boxes are 4 and each is grouped into 2 = 8
Out of 4 boxes 3 boxes are shaded = \(\frac{3}{4}\)
Next out of 8 grouped squares 6 are shaded = \(\frac{6}{8}\)
Thus the fraction is equivalent to \(\frac{3}{4}\) is \(\frac{6}{8}\)

Conclusion

Use the practice and Homework pages links to learn the concepts and skills which are provided in the Go Math Answer Key for Grade 3 Chapter 9 Compare Fractions. Help your child to climb greater heights and fall in love with Math learning. If you want to practice more problems you can go through the Go Math Grade 3 Answer Key Chapter 9 Compare Fractions Extra Practice.

Time to the Minute – Page No. 565

Write the time. Write one way you can read the time.

Question 1.

Answer:  1:16; sixteen minutes after one

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 1 Hour 16 minutes
Read:  sixteen minutes after  one

Question 2.

Type below:
___________

Answer: 10:20; twenty minutes after ten

Explanation:
Count by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 10 Hours 20 minutes
Read:  twenty minutes after  ten

Grade 3 Chapter 10 Fractions Minute Answer Key Question 3.

Type below:
____________

Answer: 4:13;  thirteen minutes after four

Explanation:
Count by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 4 Hour 13 minutes
Read:  thirteen minutes after  four

Question 4.

Type below:
____________

Answer: 12:05; five minutes after twelve

Explanation:
Count by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 12 Hour 05 minutes
Read:  five minutes after  twelve

Question 5.

Type below:
____________

Answer: 7:24; twenty-four minutes after seven

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 7 Hour 24 minutes
Read: twenty-four minutes after seven

Question 6.

Type below:
____________

Answer: 2:51; nine minutes before three

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 2:51
Read:
nine minutes before three

Write the time another way.

Question 7.
23 minutes after 4
______ : ______

Answer: 4:23

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 8.
18 minutes before 11
______ : ______

Answer: 10:42

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 9.
10 minutes before 9
______ : ______

Answer: 8:50

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 10.
7 minutes after 1
______ : ______

Answer: 1:07

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Problem Solving

Question 11.
What time is it when the hour hand is a little past the 3 and the minute hand is pointing to the 3?
______ : ______

Answer: 3:15

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 8.

Question 12.
Pete began practicing at twenty-five minutes before eight. What is another way to write this time?
______ : ______

Answer: 7:35

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Time to the Minute – Page No. 566

Lesson Check

Question 1.
Which is another way to write 13 minutes before 10?
Options:
a. 9:47
b. 10:13
c. 10:47
d. 11:13

Answer: a. 9:47

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Question 2.
What time does the clock show?

Options:
a. 2:20
b. 2:40
c. 3:20
d. 4:10

Answer: a. 2:20

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.

Spiral Review

Question 3.
Each bird has 2 wings. How many wings will 5 birds have?
Options:
a. 7
b. 8
c. 9
d. 10

Answer: d. 10

Explanation:
STEP 1 Draw 2 counters in each group.
STEP 2 Skip count to find how many wings in all. Skip count by 2s until you say 5 numbers (groups)
There are 5 groups with 2 wings in each group. So, there are 10 wings in all.

Grade 3 Math The Necklace Answer Key Question 4.
Find the unknown factor.
9 × ■ = 36
Options:
a. 4
b. 6
c. 8
d. 27

Answer: a. 4

Explanation:
Count how many rows of 36 counters there are.
There are  9 rows of 36 counters. The unknown factor is 4 (c0lumns). n = 4
9× 4 = 36

Question 5.
Mr. Wren has 56 paintbrushes. He places 8 paintbrushes on each of the tables in the art room. How many tables are in the art room?
Options:
a. 6
b. 7
c. 9
d. 48

Answer: b. 7

Explanation:
STEP 1 Draw 56 counters.
STEP 2 Make a group of 8 counters by drawing a circle around them. Continue circling groups of 8 until all 56 counters are in groups.
There are 7 groups of 56 counters.

Question 6.
Which number completes the equations?
4 × ▲ = 20 20 ÷ 4 = ▲
Options:
a. 4
b. 5
c. 6
d. 16

Answer: b. 5

Explanation:
Count how many rows of 20 counters there are. There are  4 rows of 20 counters. The unknown factor is 5 (c0lumns). n = 5
4× 5 = 20
STEP 1 Draw 20 counters.
STEP 2 Make a group of 4 counters by drawing a circle around them. Continue circling groups of 4 until all 20 counters are in groups.
There are 5 groups of 20 counters.

A.M. and P.M. – Page No. 571

Write the time for the activity. Use A.M. or P.M.

Question 1.
eat lunch

Answer: 12:20 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we have our lunch in the afternoon around 12:00 noon to 1:00 P.M. which falls in the period of 12:00 noon to 12:00 at midnight hence the time 12:20 is considered to be P.M.

Question 2.
go home after school

_____ : _____ _____ (A.M./P.M.)

Answer: 2:53 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since the school hours end in the evening and students return to their home around 2:30 P.M. to 3:30 P.M. which falls in the period of 12:00 noon to 12:00 at midnight hence the time 2:53 is considered to be P.M.

Question 3.
see the sunrise

_____ : _____ _____ (A.M./P.M.)

Answer: 6:18 A.M.

Explanation:
The times after midnight and before noon is written with A.M. At the early hours of the day sunrises which falls in the period of  12:00 at midnight to 12:00 noon, therefore the time 6:18 is considered to be A.M.

Question 4.
go for a walk

_____ : _____ _____ (A.M./P.M.)

Answer: 3:55 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since the people go for a walk to refresh their minds in the evening hours which falls in the period of 12:00 noon to 12:00 at midnight the time 3:55 is considered to be P.M.

Question 5.
go to school

_____ : _____ _____ (A.M./P.M.)

Answer: 8:10 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since students go to the school in the morning hours which falls in the period of  12:00 at midnight to 12:00 noon, therefore, the time 8:10 is considered to be A.M.

Question 6.
get ready for art class

_____ : _____ _____ (A.M./P.M.)

Answer: 10:36 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since students go to the art class in the morning hours which falls in the period of  12:00 at midnight to 12:00 noon, therefore, the time 10:36 is considered to be A.M.

Write the time. Use A.M. or P.M.

Question 7.
13 minutes after 5:00 in the morning
_____ : _____ _____ (A.M./P.M.)

Answer: 5:13 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since 5:00 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time is considered to be A.M.

 

Question 8.
19 minutes before 9:00 at night
_____ : _____ _____ (A.M./P.M.)

Answer: 8:41 P.M.

Explanation:
The times afternoon and before midnight is written with P.M.  Since 8:41 in the night time falls in the period of 12:00 noon to 12:00 at midnight, therefore, the time 8:41 is considered to be P.M.

Question 9.
quarter before midnight
_____ : _____ _____ (A.M./P.M.)

Answer: 11:45P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 11:45 in the night time falls in the period of 12:00 noon to 12:00 at midnight, therefore, the time 11:45 is considered to be P.M.

Question 10.
one-half hour after 4:00 in the morning
_____ : _____ _____ (A.M./P.M.)

Answer: 4:30 A.M.

Explanation:
One-half hour = 30 minutes So, by adding 30 minutes to 4:00 A.M. in the morning. We get the time to be 4:30 A.M.
The times after midnight and before noon is written with A.M.  Since 4:30 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time is considered to be A.M

Problem Solving

Question 11.
Jaime is in math class. What time is it? Use A.M. or P.M.

_____ : _____ _____ (A.M./P.M.)

Answer: 1:25 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 1:25 in the afternoon hours fall in the period of 12:00 noon to 12:00 at midnight, therefore, the time1:25 is considered to be P.M.

Question 12.
Pete began practicing his trumpet at fifteen minutes past three. Write this time using A.M. or P.M.
_____ : _____ _____ (A.M./P.M.)

Answer: 3:15 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 3:15 in the evening hours fall in the period of 12:00 noon to 12:00 at midnight, therefore, the time 3:15 is considered to be P.M.

A.M. and P.M. – Page No. 572

Lesson Check

Question 1.
Steven is doing his homework. What time is it? Use A.M. or P.M.

Options:
a. 4:15 P.M.
b. 4:25 A.M.
c. 4:35 P.M.
d. 4:35 A.M.

Answer: c. 4:35 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since 4:35 in the evening hours falls in the period of 12:00 noon to 12:00 at midnight, therefore, the time 4:35 is considered to be P.M.

Go Math Grade 3 Pdf Lesson 10.3 Answer Key Question 2.
After he finished breakfast, Mr. Edwards left for work fifteen minutes after seven. What time is this? Use A.M. or P.M.
Options:
a. 6:15 A.M.
b. 7:15 A.M.
c. 6:45 P.M.
d. 7:30 P.M.

Answer: b. 7:15 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since 7:15 in the morning falls in the period of 12:00 at midnight to 12:00 noon, therefore, the time 7:15 is considered to be A.M.

Spiral Review

Question 3.
Which division equation is related to the multiplication equation 4 × 6 = 24
Options:
a. 24 ÷ 8 = 3
b. 12 ÷ 3 = 4
c. 6 × 4 = 24
d. 24 ÷ 4 = 6

Answer: d. 24 ÷ 4 = 6

Explanation:
STEP 1 Draw 24 counters.
STEP 2 Make a group of 4 counters by drawing a circle around them. Continue circling groups of 4 until all 24 counters are in groups.
There are 6 groups of 24 counters.

Question 4.
There are 50 toothpicks in each box. Jaime buys 4 boxes for her party platter. How many toothpicks does Jaime buy in all?
Options:
a. 20
b. 54
c. 200
d. 2,000

Answer: c. 200

Explanation:
Step1 let there be 50 toothpicks in each box.
Step2 the number of boxes required is 4
Step3 total number of toothpicks will be the number of boxes multiplied by the number of toothpicks in each box.
4 × 50=200

Question 5.
A pet store sold 145 bags of beef-flavored dog food and 263 bags of cheese-flavored dog food. How many bags of dog food were sold in all?
Options:
a. 118
b. 308
c. 408
d. 422

Answer: c. 408

Explanation:
Total number of bags of dog food sold=145+263

 

 

 

Question 6.
Victoria and Melody are comparing fraction strips. Which statement is NOT correct?
Options:
a. \(\frac{1}{4}\) < \(\frac{4}{4}\)
b. \(\frac{3}{6}\) > \(\frac{4}{6}\)
c. \(\frac{2}{8}\) > \(\frac{1}{8}\)
d. \(\frac{2}{3}\) > \(\frac{3}{3}\)

Answer: b. \(\frac{3}{6}\) > \(\frac{4}{6}\)

Explanation:

Take two blocks of the same size and both are made of 6 equal-size squares.
3  squares are shaded green while 4 are shaded with red.
Compare 3/6 and 4/6.
The greater fraction will have the larger
amount of the whole shaded.
Therefore, 3/6>4/6.

Measure Time Intervals – Page No. 577

Find the elapsed time.

Question 1.
Start: 8:10 A.M. End: 8:45 A.M.

Answer: 35 minutes

Explanation:
STEP 1 Find 8:10 A.M. on the number line. Count on from 8:10 A.M. to 8:45 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 8:10 A.M. to 8:45 A.M. From 8:10 A.M. to 8:45 A.M. is 35 minutes.
So, the elapsed time is 35 minutes

Question 2.
Start: 6:45 P.M. End: 6:54 P.M.

_______ minutes

Answer: 9 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 6:54 P.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 9 minutes.

Question 3.
Start: 3:00 P.M. End: 3:37 P.M.

_______ minutes

Answer: 37 minutes

Explanation:
STEP 1 Find3:00 P.M. on the number line. Count on from 3:00 P.M. to 3:37 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from3:00 P.M. to 3:37 P.M. From 3:00 P.M. to 3:37 P.M. is 37 minutes.
So, the elapsed time is 37 minutes

Question 4.
Start: 10:05 A.M. End: 10:21 A.M.

_______ minutes

Answer: 16 minutes

Explanation:
STEP 1 Find10:05 A.M. on the number line. Count on from 10:05 A.M. to 10:21 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 10:05 A.M. to 10:21 A.M. From 10:05 A.M. to 10:21 A.M. is 16 minutes.
So, the elapsed time is 16 minutes

Question 5.
Start: 7:30 A.M. End: 7:53 A.M.

_______ minutes

Answer: 23 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to7:53 A.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 23 minutes.

Question 6.
Start: 5:20 A.M. End: 5:47 A.M.

_______ minutes

Answer: 27 minutes

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 5:47 A.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 27 minutes.

Problem Solving

Question 7.
A show at the museum starts at 7:40 P.M. and ends at 7:57 P.M. How long is the show?
_______ minutes

Answer: 17 minutes

Explanation:
STEP 1 Find 7:40 P.M. on the number line. Count on from 7:40 P.M. to 7:57 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 7:40 P.M. to 7:57 P.M. From 7:40 P.M. to 7:57 P.M. is 17 minutes.
So, the elapsed time is 17 minutes
The duration of the show is 17 minutes.

Question 8.
The first train leaves the station at 6:15 A.M. The second train leaves at 6:55 A.M. How much later does the second train leave the station?
_______ minutes

Answer: 40 minutes later

Explanation:
STEP 1 Find 6:15 A .M. on the number line. Count on from 6:15 A.M. to 6:55 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 6:15 A.M. to 6:55 A.M. From 6:15 A .M. to 6:55 A.M. is 40 minutes.
So, the second train will leave the station in 40 minutes

Measure Time Intervals – Page No. 578

Lesson Check

Question 1.
Marcus began playing basketball at 3:30 P.M. and stopped playing at 3:55 P.M. For how many minutes did he play basketball?
Options:
a. 25 minutes
b. 30 minutes
c. 55 minutes
d. 85 minutes

Answer: a. 25 minutes

Explanation:
STEP 1 Find 3:30 P.M. on the number line. Count on from 3:30 P.M. to 3:55 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from3:30 P.M. to3:55 P.M. From 3:30 P.M. to 3:55 P.M. is 25 minutes.
So, the elapsed time is 25 minutes
Marcus played basketball for 25 minutes.

Question 2.
The school play started at 8:15 P.M. and ended at 8:56 P.M. How long was the school play?
Options:
a. 15 minutes
b. 31 minutes
c. 41 minutes
d. 56 minutes

Answer: c. 41 minutes

Explanation:
STEP 1 Find 8:15 P.M. on the number line. Count on from 8:15 P.M. to 8:56 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 8:15 P.M. to 8:56 P.M. From 8:15 P.M. to 8:56 P.M. is 41  minutes.
So, the elapsed time is 41 minutes
Therefore, the school play was for 41 minutes.

Spiral Review

Question 3.
Each car has 4 wheels. How many wheels will 7 cars have?
Options:
a. 11
b. 24
c. 27
d. 28

Answer: d. 28

Explanation:
STEP 1 Draw 4 counters in each group.
STEP 2 Skip count to find how many wheels in all. Skip count by 4s until you say 7 numbers (groups)
There are 7 groups with 4 wheels in each group. So, there are 28 wheels in all.

Question 4.
Which number completes the equations?
3 × ■ = 27 27 ÷ 3 = ■
Options:
a. 6
b. 7
c. 8
d. 9

Answer: d. 9

Explanation:
Count how many rows of 27 counters there are. There are  3 rows of 27 counters. The unknown factor is 9 (c0lumns). n = 9
3 × 9 = 27
STEP 1 Draw 27 counters.
STEP 2 Make a group of 3 counters by drawing a circle around them. Continue circling groups of 3 until all 27 counters are in groups.
There are 9 groups of 27 counters.

Question 5.
There are 20 napkins in each package. Kelli bought 8 packages for her party. How many napkins did Kelli buy in all?
Options:
a. 28
b. 40
c. 160
d. 180

Answer: c. 160

Explanation:
Step1 let there be 20 napkins in each package.
Step2 the number of packages required is 8
Step3 total number of napkins will be the number of packages multiplied by the number of napkins in each package.
8 × 20=160

Question 6.
Mr. Martin drove 290 miles last week. This week he drove 125 miles more than last week. How many miles did Mr. Martin drive this week?
Options:
a. 125 miles
b. 165 miles
c. 315 miles
d. 415 miles

Answer: d. 165 miles

Explanation:
Total number of miles drove by Mr Martin in this week = 290+125

Use Time Intervals – Page No. 583

Find the starting time.

Question 1.
Ending time: 4:29 P.M.
Elapsed time: 55 minutes

Answer: 3:34 P.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 55 minutes
So, the starting time is 3:34 P.M.

Question 2.
Ending time: 10:08 A.M.
Elapsed time: 30 minutes

______ : ______ ______ (A.M./P.M.)

Find the ending time.

Answer: 9:38 A.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 3o minutes. Write the missing counting numbers next to the clock.
So, the starting time is 9:38 A.M.

Question 3.
Starting time: 2:15 A.M.
Elapsed time: 45 minutes

______ : ______ ______ (A.M./P.M.)

Answer: 3:00 A.M.

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 3:00 A.M.
So, the ending time is 3:00 A.M.

Question 4.
Starting time: 6:57 P.M.
Elapsed time: 47 minutes

______ : ______ ______ (A.M./P.M.)

Answer: 7:44 P.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 47 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 7:44 P.M.

Problem Solving

Question 5.
Jenny spent 35 minutes doing research on the Internet. She finished at 7:10 P.M. At what time did Jenny start her research?
______ : ______ ______ (A.M./P.M.)

Answer: 6:35 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 35 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 6:35 A.M.

Question 6.
Clark left for school at 7:43 A.M. He got to school 36 minutes later. At what time did Clark get to school?
______ : ______ ______ (A.M./P.M.)

Answer: 8:19 A.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 36 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 8:19 A.M.

Use Time Intervals – Page No. 584

Lesson Check

Question 1.
Cody and his friends started playing a game at 6:30 P.M. It took them 37 minutes to finish the game. At what time did they finish?
Options:
a. 5:07 P.M.
b. 5:53 P.M.
c. 6:53 P.M.
d. 7:07 P.M.

Answer: d. 7:07 P.M.

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count on by fives and ones for the elapsed time of 37 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 7:07 P.M.

Question 2.
Delia worked for 45 minutes on her oil painting. She took a break at 10:35 A.M. At what time did Delia start working on the painting?
Options:
a. 9:40 A.M.
b. 9:50 A.M.
c. 11:20 A.M.
d. 11:30 A.M.

Answer: b. 9:50 A.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 45 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 9:50 A.M.

Spiral Review

Question 3.
Sierra has 30 collector’s pins. She wants to put an equal number of pins in each of 5 boxes. How many pins should she put in each box?

Options:
a. 4
b. 5
c. 6
d. 8

Answer: c. 6

Explanation:
Use 30 counters.
Take 5 boxes.
Place 1 counter at a time in each box until all 30 counters are used.
Place the rest of the counters till all the 30 counters (pins) are completed.
Total number of counters in each box is 6.

Question 4.
What time is shown on the clock?

Options:
a. 1:24
b. 2:24
c. 4:12
d. 5:12

Answer: b. 2:24

Explanation:
Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 2:24
Read:
• twenty-four minutes after two

Question 5.
Ricardo has 32 books to put on 4 shelves. He puts the same number of books on each shelf. How many books does Ricardo put on each shelf?
Options:
a. 6
b. 7
c. 8
d. 9

Answer: c. 8

Explanation:
Use 32 counters. (books)
The number of shelves is 4.
Place 1 counter at a time in each shelf until all 32 counters are used.
Place the rest of the counters till all the 32 counters (books) are completed.
Total number of counters in each shelf is 8.

Question 6.
Jon started playing a computer game at 5:35 P.M. He finished the game at 5:52 P.M. How long did Jon play the game?
Options:
a. 17 minutes
b. 23 minutes
c. 25 minutes
d. 27 minutes

Answer: a. 17 minutes

Explanation:
STEP 1 Find the ending time on the clock.
STEP 2 Count the minutes by counting on by fives and ones to 5:52 P.M. Write the missing counting numbers next to
the clock.
So, Jon has spent 17 minutes on the computer playing a game.

Lesson 5 – Page No. 587

Share and Show

Question 1.
Patty went to the shopping mall at 11:30 a.m. She shopped for 25 minutes. She spent 40 minutes eating lunch.
Then she met a friend at a movie.
At what time did Patty meet her friend?
_______ : ________

Answer: 12:35 P.M.

Explanation:
The times afternoon and before midnight is written with P.M.
Count (25+40) minutes after 11:30 A.M.
Therefore the time at which Patty met her friend is 11:30 A.M.+1:05 hrs = 12:35 P.M.

Question 2.
What if Patty goes to the mall at 11:30 A.M. and meets a friend at a movie at 1:15 P.M.?
Patty wants to shop and have 45 minutes for lunch before meeting her friend.
How much time can Patty spend shopping?
_______ minutes

Answer: 60 minutes

Explanation:
The times afternoon and before midnight are written with P.M.
Count 45 minutes before 1:15 P.M. (for lunch) which is equal to 12:30 P.M.
The difference between 12:30 P.M. and 11:30 A.M. gives the time spent by Patty in shopping.
STEP 1 Find 12:30 P.M. on the number line. Count on from 12:30 P.M. to 11:30 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 12:30 P.M. to 11:30 A.M. From 12:30 P.M. to 11:30 A.M. is 60 minutes.
So, the time spent on shopping is 60 minutes

Go Math Grade 3 Chapter 10 Pdf Question 3.
Avery got on the bus at 1:10 p.m. The trip took 90 minutes. Then she walked for 32 minutes to get home. At what time did Avery arrive at home?
_______ : ________ P.M.

Answer: 3:12 P.M.

Explanation:
STEP 1 Find 1:10 P.M. on the number line. Count on from 1:10 P.M.
STEP2 Time spent in the trip= 90 minutes
Time Avery walked to get home = 32 minutes
STEP3 Then draw and label the jumps on the number line.
Add the total minutes; 90+32=122 minutes
So the time at which Avery arrives home is calculated by the cumulative jumps on the number line which is equal to 3:12 P.M.
Question 4.
Kyle and Josh have a total of 64 CDs. Kyle has 12 more CDs than Josh. How many CDs does each boy have?
Josh _______ CDs
Kyle _______ CDs

Answer: Josh has 26 CDs
Kyle has 38 CDs

Explanation:
STEP 1 There are 64 counters. (CDs)
STEP2 Kyle has 12 CDs more than Josh. Place these 12 in a separate group. The leftover number of CDs is 64-12=52
STEP 3 Make 2 group and start placing the counters one after the other in each group until all the 52 counters are grouped
There are 2 groups of 26 counters.
Josh has 26 CDs while Kyle has 26+12 = 38 CDs

Lesson 5 – Page No. 588

Question 5.
Jamal spent 60 minutes using the computer. He spent a half hour of the time playing games and the rest of the time researching his report. How many minutes did Jamal spend researching his report?
_______ minutes

Answer: 30 minutes

Explanation: Jamal has spent half hour=30 minutes playing games and the rest of the time researching for his report.
STEP1 There are 60 counters(minutes).
STEP2 Remove the 30 counters which were used to play games
STEP3 The remaining number of counters in the box is 30
So the time spent on the report =30 minutes

Question 6.
When Caleb got home from school, he worked on his science project for 20 minutes. Then he studied for a test for 30 minutes. He finished at 4:35 p.m. At what time did Caleb get home from school?
_______ : _______ P.M.

Answer: 3:45 P.M

Explanation:
STEP 1 Find the time on the number line when Caleb finished his homework.
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 30+20=50 minutes
Therefore Caleb got home from school at 3:45 P.M.

Question 7.
Miguel played video games each day for a week. On Monday, he scored 83 points. His score went up 5 points each day. On what day did Miguel score 103 points? Explain how you found your answer
_____________

Answer: 5 days

Explanation:
STEP1 Miguel scored 83 points on Monday. His score went up 5 points each day.
STEP2 Add 5n counters to the points to reach 103
STEP3 Adding 5 points 5 times gives us the score to be 103 (83+5*5)
STEP4 Therefore Miguel takes 5 days to score 103 points

Question 8.
When Laura arrived at the library, she spent 40 minutes reading a book. Then she spent 15 minutes reading a magazine. She left the library at 4:15 p.m. Circle the time that makes the sentence true.
Laura arrived at the library at:
_______ : _______ P.M.

Answer: 3:20 P.M.

Explanation:
STEP 1 Find the time on the number line when Laura arrived at the library.
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 40+15=55 minutes
Therefore Laura arrived at the library at 3:20 P.M.

Problem Solving Time Intervals – Page No. 589

Solve each problem. Show your work.

Question 1.
Hannah wants to meet her friends downtown. Before leaving home, she does chores for 60 minutes and eats lunch for 20 minutes. The walk downtown takes 15 minutes. Hannah starts her chores at 11:45 A.M. At what time does she meet her friends?

Answer: 1:20 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Hannah meets her friends.
STEP 2 Count back by fives for the elapsed time of 95 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 1:20 P.M.

Question 2.
Katie practiced the flute for 45 minutes. Then she ate a snack for 15 minutes. Next, she watched television for 30 minutes, until 6:00 P.M. At what time did Katie start practicing the flute?
_______ : ________ (A.M./P.M.)

Answer: 4:30 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 90 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 4:30 P.M.

Question 3.
Nick gets out of school at 2:25 P.M. He has a 15-minute ride home on the bus. Next, he goes on a 30-minute bike ride. Then he spends 55 minutes doing homework. At what time does Nick finish his homework?
_______ : ________ (A.M./P.M.)

Answer: 4:05 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Nick finishes his work.
STEP 2 Count back by fives for the elapsed time of 100 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 4:05 P.M.

Question 4.
The third-grade class is going on a field trip by bus to the museum. The bus leaves the school at 9:45 a.m The bus ride takes 47 minutes. At what time does the bus arrive at the museum?
_______ : ________ (A.M./P.M.)

Answer: 10:32 A.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which the students arrive at the museum.
STEP 2 Count back by fives for the elapsed time of 47 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 10:32 A.M.

Problem Solving Time Intervals – Page No. 590

Lesson Check

Question 1.
Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?
Options:
a. 11:30 A.M.
b. 11:50 A.M.
c. 12:20 P.M.
d. 12:30 P.M.

Answer: c. 12:20 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Gloria finish her lunch.
STEP 2 Count back by fives for the elapsed time of 80 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 12:20 P.M.

Question 2.
The ball game begins at 2:00 P.M. It takes Ying 30 minutes to get to the ballpark. At what time should Ying leave home to get to the game 30 minutes before it starts?
Options:
a. 12:30 P.M.
b. 1:00 P.M.
c. 1:30 P.M.
d. 3:00 P.M.

Answer: b. 1:00 P.M.

Explanation:
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 60 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 1:00 P.M.

Spiral Review

Question 3.
Which lists the fractions in order from least to greatest?
Options:
a. \(\frac{2}{8}\), \(\frac{2}{4}\), \(\frac{2}{6}\)
b. \(\frac{2}{4}\), \(\frac{2}{8}\), \(\frac{2}{6}\)
c. \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)
d. \(\frac{2}{4}\), \(\frac{2}{6}\), \(\frac{2}{8}\)

Answer: c. \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)

Explanation:
When the numerators are the same, think about the  pieces to compare and order fractions. So, the order from least to greatest  is \(\frac{2}{8}\), \(\frac{2}{6}\), \(\frac{2}{4}\)

Question 4.
Find the unknown factor.
6 × ■ = 36
Options:
a. 4
b. 6
c. 7
d. 8

Answer: b. 6

Explanation:
Count how many rows of 36 counters there are.
There are  6 rows of 36 counters. The unknown factor is 6 (c0lumns). n = 6
6× 6 = 36

Question 5.
There were 405 books on the library shelf. Some books were checked out. Now there are 215 books left on the shelf. How many books were checked out?
Options:
a. 620
b. 220
c. 210
d. 190

Answer: d. 190

Explanation:
STEP1 Let there be 405 books in a shelf of Library.
STEP2 Some books were checked out.
STEP3 Number of books left in the shelf are 215.
STEP4 Take a box filled with 405 counters.
STEP5 Place 215 counters in another box from the initial 405 counters.
STEP6 The number of counters left in the first box is equal to the books checked out.
405-215=190

Question 6.
Savannah has 48 photos. She places 8 photos on each page of her photo album. How many pages in the album does she use?
Options:
a. 5
b. 6
c. 7
d. 9

Answer: b. 6

Explanation:
STEP 1 Draw 48 counters.
STEP 2 Make a group of 8 counters by drawing a circle around them. Continue circling groups of 8 until all 48 counters are in groups.
There are 6 groups of 48 counters.

Mid -Chapter Checkpoint – Page No. 591

Vocabulary

Choose the best term from the box.

Question 1.
In one __________, the minute hand moves from one mark to the next on a clock.

Answer: Minute

Explanation: The minute hand moves after every 60 seconds = 1 Minute to the next mark on the clock.

Question 2.
The times afternoon and before midnight are written with __________ .
__________

Answer: P.M.

Explanation:
The times afternoon and before midnight are written with P.M.

Concepts and Skills

Write the time for the activity. Use A.M. or P.M.

Question 3.
play ball

______ : ______ ______ (A.M./P.M.)

Answer: 4:30 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we play ball in the evening, the time is considered to be P.M.

Question 4.
eat breakfast

______ : ______ ______ (A.M./P.M.)

Answer: 7:06 A.M.

Explanation:
The times after midnight and before noon is written with A.M. Since we have our breakfast in the morning, the time is considered to be  A.M.

Question 5.
do homework

______ : ______ ______ (A.M./P.M.)

Answer: 5:45 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we do our homework in the evening, the time is considered to be P.M.

Question 6.
sleep

______ : ______ ______ (A.M./P.M.)

Answer: 11:06 P.M.

Explanation:
The times afternoon and before midnight is written with P.M. Since we go to sleep in the night hours, the time is considered to be P.M.

Find the elapsed time.

Question 7.
Start: 10:05 A.M. End: 10:50 A.M.

_______ minutes

Answer: 45 minutes

Explanation:
STEP 1 Find 10:05 A.M. on the number line. Count from 10:05 A.M. to 10:50 A.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 10:05 A.M. to 10:50 A.M. From 10:05 A.M. to 10:50 A.M. is 45 minutes.
So, the elapsed time is 45 minutes

Question 8.
Start: 5:30 P.M.
End: 5:49 P.M.

_______ minutes

Answer: 19 minutes

Explanation:
STEP 1 Find the starting time on the clock that is 5:30 P.M.
STEP 2 Count the minutes by counting on by fives and ones to 5:49 P.M. Write the missing counting numbers next to the clock.
So, the elapsed time is 19 minutes.

Find the starting time or the ending time.

Question 9.
Elapsed time: 50 minutes
Ending time: 9:05 A.M.

Starting time: ______ : ______ A.M.

Answer: 8:15 A.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 50 minutes
So, the starting time is 8:15 A.M.

Question 10.
Starting time: 2:46 P.M.
Elapsed time: 15 minutes

Ending time: ______ : ______ P.M.

Answer: 3:01 P.M.

Explanation:
STEP 1 Find the ending time on the clock
STEP 2 Count back by fives for the elapsed time of 15 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 3:01 P.M.

Mid -Chapter Checkpoint – Page No. 592

Question 11.
Veronica started walking to school at 7:45 A.M. She 0 arrived at school 23 minutes later. At what time did Veronica arrive at school?
______ : ______ ______

Answer: 8:08 A.M.

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 8:08 A.M.
So, the ending time is 8:08 A.M.

Question 12.
The clock shows the time the art class ends. At what time does it end? If the class started 37 minutes before the time shown, at what time did the class start?

Type below:
____________

Answer: Time at which the class ends= 1:57 P.M.
Time at which the class starts= 1:20 P.M.

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 1:57 P.M.
Read:
Three minutes before two
STEP 1 Find the starting time on the clock.
STEP 2 Count back by fives for the elapsed time of 37 minutes. Write the missing counting numbers next to the clock.
So, the starting time is 1:20 P.M.

Question 13.
Matt went to his friend’s house. He arrived at 5:10 P.M. He left at 5:37 P.M. How long was Matt at his friend’s house?
______ minutes

Answer: 27 minutes

Explanation:
STEP 1 Find 5:10 P.M. on the number line. Count on from 5:10 P.M. to 5:37 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 5:10 P.M. to 5:37 P.M. From 5:10 P.M. to 5:37 P.M. is 27 minutes.
So, the elapsed time is 27 minutes

Go Math Grade 3 Measure Length Lesson 10.6 Question 14.
Brenda’s train leaves at 7:30 A.M. She needs to arrive 10 minutes early to buy her ticket. It takes her 20 minutes to get to the train station. At what time should Brenda leave her house?
______ : ______ A.M.

Answer: 7:00 A.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 30 minutes
So, the starting time is 7:00 A.M.

Question 15.
Write the time you get home from school.
Type below:
____________

Answer: 4:00 P.M

Explanation:
The times afternoon and before midnight is written with P.M. Since we get home from school in the evening, the time is considered to be P.M.

Measure Length – Page No. 597

Measure the length to the nearest half inch.

Question 1.

Answer: 1 1/2 inches

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 2.
The mark that is closest to the right end of the glue stick is for one and a half inches.
So, the length of the glue stick to the nearest half-inch is 1 1/2 inches.

Question 2.

______ inches

Answer: 3

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 3.
The mark that is closest to the right end of the glue stick is for three inches.
So, the length of the glue stick to the nearest half-inch is 3 inches.

Question 3.

______ \(\frac{□}{□}\) inches

Answer: 4 1/2 inches

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for4 and 5.
The mark that is closest to the right end of the glue stick is for four and a half  inches.
So, the length of the glue stick to the nearest half-inch is 4 1/2 inches.

Measure the length to the nearest fourth inch.

Question 4.

______ \(\frac{□}{□}\) inches

Answer: 1 1/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and2.
The mark that is closest to the right end of the paper clip is for 1 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 1 1/4 inches.

Question 5.

______ \(\frac{□}{□}\) inches

Answer: 2 3/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the paper clip is for 2 3/4 inches.
So, the length of the paper clip to the nearest fourth inch is 2 3/4 inches.

Question 6.

\(\frac{□}{□}\) inch

Answer: 3/4 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 0 and1.
The mark that is closest to the right end of the paper clip is for 3/4 inches.
So, the length of the paper clip to the nearest fourth inch is 3/4 inches.

Question 7.

______ inches

Answer: 2 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and2.
The mark that is closest to the right end of the paper clip is for 2 inches.
So, the length of the paper clip to the nearest fourth inch is 2 inches.

Problem Solving

Use a separate sheet of paper for 8.

Question 8.
Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.

Answer:

Explanation:

Question 9.
The tail on Alex’s dog is 5\(\frac{1}{4}\) inches long. This length is between which two inch-marks on a ruler?
Between ______ and ______ inch-marks

Answer: Between 5 and 6 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 5 and 6.
The mark that is closest to the right end of the paper clip is for 5 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 5 1/4 inches.

Measure Length – Page No. 598

Lesson Check

Question 1.
What is the length of the eraser to the nearest half inch?

Options:
a. \(\frac{1}{2}\) inch
b. 1 inch
c. 1 \(\frac{1}{2}\) inch
d. 2 inch

Answer: c. 1 \(\frac{1}{2}\) inch

Explanation:
Line up the left end of the glue stick with the zero mark on the ruler.
The right end of the glue stick is between the half-inch marks for 1 and 2.
The mark that is closest to the right end of the glue stick is for one and a half inches.
So, the length of the glue stick to the nearest half-inch is 1 1/2 inches.

Question 2.
What is the length of the leaf to the nearest fourth inch?

Options:
a. 1 \(\frac{1}{2}\) inches
b. 1 \(\frac{3}{4}\) inches
c. 2 inches
d. 2 \(\frac{1}{4}\) inches

Answer: c. 2 inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and 2.
The mark that is closest to the right end of the paper clip is for 2 inches.
So, the length of the paper clip to the nearest fourth inch is 2 inches.

Spiral Review

Question 3.
Which equation is NOT included in the same set of related facts as 6 × 8 = 48?
Options:
a. 8 × 6 = 48
b. 8 × 8 = 64
c. 48 ÷ 6 = 8
d. 48 × 8 = 6

Answer: b. 8 × 8 = 64

Explanation:
STEP 1 Use 8 tiles to make an array with 6 equal rows.
Draw the rest of the tiles.
There are 8 tiles in each row.
Write a division equation for the array using the total number of tiles as the dividend and the number of rows as the divisor.
48÷ 6= 8
So, 48 ÷ 8 = 6, 8 × 6 = 48,
and 6 ×8  = 48 are related facts.

Question 4.
Brooke says there are 49 days until July 4. There are 7 days in a week. In how many weeks will it be July 4?
Options:
a. 9 weeks
b. 8 weeks
c. 7 weeks
d. 6 weeks

Answer: c. 7 weeks

Explanation:
Draw 1 tile in each of 7 rows.
Continue drawing 1 tile in each of the 7 rows until all 49 tiles are drawn.
Count the number of tiles in each row.
There are 7 tiles in each row.
So, there are 7 weeks till July 4.

Question 5.
It is 20 minutes before 8:00 in the morning. Which is the correct way to write that time?
Options:
a. 7:40 A.M.
b. 7:40 P.M.
c. 8:20 A.M.
d. 8:40 A.M.

Answer: a. 7:40 A.M.

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 7:40 A.M.
Read:
Twenty minutes before eight

Question 6.
Marcy played the piano for 45 minutes. She stopped playing at 4:15 P.M. At what time did she start playing the piano?
Options:
a. 3:00 P.M.
b. 3:30 P.M.
c. 4:45 P.M.
d. 5:00 P.M.

Answer: b. 3:30 P.M.

Explanation:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
You jumped back to 45 minutes
So, the starting time is 3:30 P.M.

Estimate and Measure Liquid Volume – Page No. 603

Estimate how much liquid volume there will be when the container is filled. Write more than 1 liter, about 1 liter, or less than 1 liter.

Question 1.
large milk container

Answer: more than one liter

Explanation:
Pour 1 liter of milk into one of the large containers. Repeat until the container is full. Record the number of liters you poured. This proves that the container can hold more than one liter.

Question 2.
small milk container

____________

Answer: less than one liter

Explanation:
Pour 1 liter of milk into one of the small containers. There is some quantity of milk left in the pack of one liter, this proves that the container can hold less than one liter.

Question 3.
water bottle

____________

Answer: about one liter

Explanation:
A water bottle holds about 1 liter.

Question 4.
spoonful of water

____________

Answer: less than one liter

Explanation:
Pour 100 ml of water into a spoon. The excess water flow out, this proves that the spoon can hold less than one liter.

Question 5.
bathtub filled halfway

____________

Answer: more than one liter

Explanation:
Pour 1 liter of water into the bathtub. Repeat until the tub is full. Record the number of liters you poured.This proves that the container can hold more than one liter.

Question 6.
filled eyedropper

____________

Answer: less than one liter

Explanation:
Place the eyedropper in a bottle of the quantity, one liter. The eyedropper picks only few drops of the water, this proves that the eyedropper can hold less than one liter.

Problem Solving

Use the pictures for 7–8. Alan pours water into four glasses that are the same size.

Question 7.
Which glass has the most amount of water?
_______

Answer: Glass D

Explanation:
It can be observed that glass D is almost completely filled. So, glass D most amount of water.

Question 8.
Which glass has the least amount of water?
_______

Answer: Glass A

Explanation:
It can be observed that glass A contains the least amount of water. So, glass A has the least amount of water.

Estimate and Measure Liquid Volume – Page No. 604

Lesson Check

Question 1.
Felicia filled the bathroom sink with water. About how much water does she put in the sink?
Options:
a. about 1 liter
b. more than 1 liter
c. a little less than 1 liter
d. much less than 1 liter

Answer: b. more than 1 liter

Explanation:
Pour one liter of water into the sink. By repeating the same process we can say that, a sink can hold more than one liter of water. Hence it contains more than one liter of water.

Question 2.
Kyle needed about 1 liter of water to fill a container. Which container did Kyle most likely fill?
Options:
a. a small glass
b. a spoon
c. a large pail
d. a vase

Answer: d. a vase

Explanation:
A vase holds about 1 liter while a small glass, a spoon can only hold small quantity of water. A large pail holds water more than one liter.

Spiral Review

Question 3.
Cecil had 6 ice cubes. He put 1 ice cube in each glass. In how many glasses did Cecil put ice cubes?
Options:
a. 6
b. 5
c. 1
d. 0

Answer: a. 6

Explanation:
If there is the same number of ice cubes and glasses, then 1 ice cube goes in each glass. Since each ice cube is to be placed in each glass.
6÷ 1 = 6
Number of glasses=6

Question 4.
Juan has 12 muffins. He puts \(\frac{1}{4}\) of the muffins in a bag. How many muffins does Juan put in the bag?

Options:
a. 2
b. 3
c. 4
d. 5

Answer: b. 3

Explanation:
Put 12 counters(muffins) on the table.
Since you want to find 1/4 of the group, there should be equal groups of muffins.
Circle one of the groups to show 1/4th part of the muffins. Then count the number of counters in that group.
There are 3 counters in 1 group. 1/4 of 12 = 3
So,  Juan has put 3 muffins in his bag.

Estimate and Measure Mass Lesson 10.8 Question 5.
Which is one way to read the time shown on the clock?

Options:
a. 4 minutes before 7
b. 26 minutes before 11
c. 54 minutes after 6
d. 56 minutes after 7

Answer: a. 4 minutes before 7

Explanation:
Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 6:56
Read:
four minutes before seven

Question 6.
Julianne drew the line segment below. Use your ruler to measure the segment to the nearest fourth inch.

Options:
a. \(\frac{3}{4}\) inch
b. 1 \(\frac{1}{4}\) inches
c. 1 \(\frac{1}{2}\) inches
d. 1 \(\frac{3}{4}\) inches

Answer: d. 1 \(\frac{3}{4}\) inches

Explanation:
Line up the left end of the paper clip with the zero mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 1 and 2.
The mark that is closest to the right end of the paper clip is for 1 \(\frac{3}{4}\) inches.
So, the length of the paper clip to the nearest fourth inch is 1 \(\frac{3}{4}\) inches.

Estimate and Measure Liquid Volume – Page No. 609

Choose the unit you would use to measure the mass. Write a gram or kilogram.

Question 1.
CD

gram

Answer: Gram

Explanation:
The gram (g) is the basic metric unit for measuring mass or the amount of matter in an object. Mass can also be measured by using the metric unit kilogram (kg).
A small CD has a mass measured in grams.

Question 2.
boy

________

Answer: Kilogram

Explanation:
A boy’s mass must be measured in kilograms, the metric unit. Since gram is the basic unit of mass and this measuring mass is used to measure small items such as CDs, paper pins, ice cream sticks etc.

Question 3.
bag of sugar

________

Answer: Kilogram

Explanation:
A bag contains more than or equal to 1000 grams of measuring mass.
1000grams=1kilogram
Hence we can say that the sugar is measured in kilograms.

Question 4.
lion

________

Answer: Kilogram

Explanation: Lion is a huge animal with muscles and hard bones. Hence, Lion is measured in kilograms.

Question 5.
paper clip

________

Answer: Gram

Explanation:
A paper clip is light measured clip its mass is about 1 gram.

Question 6.
empty plastic bottle

________

Answer: Gram

Explanation:
The amount of water in the bottle justifies the mass/volume of the bottle. Since the bottle is empty it is only measured in grams.

Compare the masses of the objects. Write is less than,
is the same as, or is more than.

Question 7.

The mass of the candle ________ the mass of the light bulb.

Answer: is more than

Explanation:
Both candle and bulb measure in grams comparatively candle seems to have more mass than bulb.
Therefore we can say that mass of candle is more than a mass of bulb.

Question 8.

The mass of the watch ________ the mass of the necklace.

Answer: is the same as

Explanation:
Both the watch and the necklace seem to have same amount of mass in grams.

Problem Solving

Question 9.
A red ball has a mass that is less than 1 kilogram. A blue ball has a mass of 1 kilogram. Is the mass of the blue ball more than or less than the mass of the red ball?
The mass of the blue ball is ________ the mass of the red ball

Answer: more than

Explanation:
Blue ball has a mass of 1 kilogram which more than that of the red ball because it has a mass less than 1 kilogram.

Question 10.
Brock’s dog is a collie. To find the mass of his dog, should Brock use grams or kilograms?
__________

Answer: kilograms

Explanation:

Estimate and Measure Liquid Volume – Page No. 610

Lesson Check

Question 1.
Which unit of measure would you use to measure the mass of a grape?
Options:
a. gram
b. inch
c. kilogram
d. meter

Answer: a. gram

Explanation:
A bunch of grapes are measured in kilograms while a single grape is measured in grams.

Question 2.
Elsie wants to find the mass of her pony. Which unit should she use?
Options:
a. gram
b. liter
c. kilogram
d. centimeter

Answer: c. kilogram

Explanation:
The mass of the pony is calculated in kilogram because the cluster of grams is called as kilogram.

Spiral Review

Question 3.
Marsie blew up 24 balloons. She tied the balloons together in groups of 4. How many groups did Marsie make?
Options:
a. 5
b. 6
c. 7
d. 8

Answer: b. 6

Explanation:
STEP 1 Let 24 counters be ballons.
STEP 2 Make a group of 4 counters tied together into a group. Continue making groups of 4 until all 24 counters are in groups.
There are 6 groups of 24 counters.

Question 4.
Clark used the order of operations to find the unknown number in 15 − 12 ÷ 3 = n. What is the value of the unknown number?
Options:
a. 1
b. 6
c. 9
d. 11

Answer: d. 11

Explanation:
STEP 1 Let there be 12 counters in a box.
STEP 2 Make a group of 3 counters by drawing a circle around them. Continue circling groups of 3 until all 12 counters are in groups.
There are 4 groups of 12 counters.
STEP3 There are 15 counters in a box
STEP4 Remove 4 counters from the box, then only 11 counters are left in the box.

Use the pictures for 5–6. Ralph pours juice into four bottles that are the same size.

Question 5.
Which bottle has the most amount of juice?
Options:
a. Bottle A
b. Bottle B
c. Bottle C
d. Bottle D

Answer: a. Bottle A

Explanation:
Comparatively in all the four bottles bottle A is almost completely filled. Therefore bottle A has the most amount of juice.

Question 6.
Which bottle has the least amount of juice?
Options:
a. Bottle A
b. Bottle B
c. Bottle C
d. Bottle D

Answer: d. Bottle D

Explanation:
Comparatively in all the four bottles bottle D has the least amount of juice. Therefore bottle A has the least amount of juice.

Solve Problems About Liquid Volume and Mass – Page No. 615

Write an equation and solve the problem.

Question 1.
Luis was served 145 grams of meat and 217 grams of vegetables at a meal. What was the total mass of the meat and the vegetables?
Think: Add to find how much in all.
145 + 217 = _______ grams

Answer: 145 + 217 = 362 grams

Explanation:
STEP 1 Place 145 grams mass of meat.
STEP 2 Place 217 grams mass of vegetables at a meal .
STEP 3 To find the total mass of the meat and the vegetables is 362 grams.
So, the total mass of the meat and the vegetables is 362 grams.

Question 2.
The gas tank of a riding mower holds 5 liters of gas. How many 5-liter gas tanks can you fill from a full 20-liter gas can?
_______ ÷ _______ = _______ 5-liter gas tanks

Answer: 20 ÷ 5 = 4 gas tanks

Explanation:
STEP1 A single gas tank of a riding mower holds 5 liters of gas.
STEP2 Quantity of gas given to fill in the tanks is 20 liters.
STEP3 To calculate the number of tanks, we should make groups of 5 liters of gas such that the total quantity of 20 liters is completed
STEP4 The number of gas tanks is the number of counters in which the 20 liter of gas is filled.
Therefore the number of tanks are 4

Question 3.
To make a lemon-lime drink, Mac mixed 4 liters of lemonade with 2 liters of limeade. How much lemon-lime drink did Mac make?
_______ + _______ = _______ liters lemon-lime

Answer: 4 + 2 = 6 liters

Explanation:
STEP 1 Place 4 liters of lemonade for preparing the lemon-lime drink.
STEP 2 Place 2 liters of limeade for preparing the lemon-lime drink.
STEP 3Mass of lemon-lime drink made by Mac is 4+2=6 liters.
So, the total mass of the lemon-lime drink made is 6 liters.

Question 4.
A nickel has a mass of 5 grams. There are 40 nickels in a roll of nickels. What is the mass of a roll of nickels?
_______ × _______ = _______grams

Answer: 5 × 40 = 200 grams

Explanation:
STEP1 Given that there are 40 nickels in a roll of nickels.
STEP2 Each nickel has a mass of 5 grams.
STEP3 Place the counters(nickels) in rows.
STEP4 Find the mass of a roll of nickels.
STEP5 Mass of a roll of nickels=5×40
STEP6 Place 5 boxes each containing 40 counters. Add the counters in the boxes, total number of counters is equal to 200.

Question 5.
Four families share a basket of 16 kilograms of apples equally. How many kilograms of apples does each family get?
_______ ÷ _______ = _______ kilograms

Answer: 20 ÷ 5 = 4

Explanation:
STEP1 Total number of apples =16
STEP2 Number of families =4
STEP3 Number of apples each family shared=16÷4
=4 apples

Question 6.
For a party, Julia made 12 liters of fruit punch. There were 3 liters of fruit punch left after the party. How much fruit punch did the people drink at the party?
_______ – _______ = _______ liters

Answer: 12 – 3 = 9 liters

Explanation:
STEP1 Quantity of fruit punch made by Julia=12 liters
STEP2 Quantity of fruit punch left after the party=3 liters
STEP3 Quantity of fruit punch the people drank in the party=12-3 = 9 liters

Problem Solving

Question 7.
Zoe’s fish tank holds 27 liters of water. She uses a 3-liter container to fill the tank. How many times does she have to fill the 3-liter container in order to fill her fish tank?
_______ times

Answer: 9 times

Explanation:
STEP1 Quantity of water Zoe’s fish tank holds=27 liters
STEP2  Zoe has a 3-liter container to fill the tank.
STEP3 Total number of times  she has to fill the 3-liter container in order to fill her fish tank=27÷3=9 times

Question 8.
Adrian’s backpack has a mass of 15 kilograms. Theresa’s backpack has a mass of 8 kilograms. What is the total mass of both backpacks?
15 + 8 = _______ kilograms

Answer: 23 kilograms

Explanation:
STEP1 Mass of Adrian’s backpack = 15 kilograms
STEP2 Mass of Theresa’s backpack= 8 kilograms
STEP3  Total mass of both backpacks=15+8=23 kilograms

Solve Problems About Liquid Volume and Mass – Page No. 616

Lesson Check

Question 1.
Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combined mass of the two dogs?
Options:
a. 2 kilograms
b. 18 kilograms
c. 23 kilograms
d. 28 kilograms

Answer: d. 28 kilograms

Explanation:
Mickey has 2 dogs beagle and dachshund
STEP1 Mass of Beagle=15 kilograms
STEP2 Mass of dachshund= 13 kilograms
STEP3 Combined mass of the two dogs= 15+13=28 kilograms

Question 2.
Lois put 8 liters of water in a bucket for her pony. At the end of the day, there were 2 liters of water left. How much water did the pony drink?
Options:
a. 4 liters
b. 6 liters
c. 10 liters
d. 16 liters

Answer: b. 6 liters

Explanation:
STEP1 Quantity of the water put in the bucket by Lois=8 liters
STEP2 Quantity of the water left in the bucket=2 liters
STEP3 Quantity of the water drank by pony= 8-2 = 6 liters

Spiral Review

Question 3.
Josiah has 3 packs of toy animals. Each pack has the same number of animals. Josiah gives 6 animals to his sister Stephanie. Then Josiah has 9 animals left. How many animals were in each pack?
Options:
a. 1
b. 3
c. 5
d. 6

Answer: c. 5

Explanation:
STEP1 Number of packs Josiah has =3
STEP2 Number of animals given by Josiah to his sister =6
STEP3 Total number of animals = 6+9=15
According to the problem,
Each pack has the same number of animals.
3× ■ = 15
Count how many rows of 15 counters there are. There are  3 rows of 15 counters. The unknown factor is 5 (c0lumns). n = 5
3 × 5 = 15

Question 4.
Tom jogged \(\frac{3}{10}\) mile, Betsy jogged \(\frac{5}{10}\) mile, and Sue jogged \(\frac{2}{10}\) mile. Who jogged a longer distance than \(\frac{4}{10}\) mile?
Options:
a. Betsy
b. Sue
c. Tom
d. None

Answer: a. Betsy

Explanation:
When the numerators are the same, think about the of the pieces to compare and order fractions. So, the order from greatest to least gives, the greatest fraction and the person who jogged a longer distance than \(\frac{4}{10}\) mile.
\(\frac{5}{10}\)>\(\frac{3}{10}\)>\(\frac{2}{10}\)
Therefore Betsy jogged a longer distance than \(\frac{4}{10}\) mile.

Question 5.
Bob started mowing at 9:55 A.M. It took him 25 minutes to mow the front yard and 45 minutes to mow the back yard. At what time did Bob finish mowing?
Options:
a. 10:20 A.M.
b. 10:55 A.M.
c. 11:05 A.M.
d. 11:20 A.M.

Answer: c. 11:05 A.M.

Explanation:
STEP1 Time Bob spent in mowing=25+45=70 minutes
STEP2 Finding the time at which Bob finished mowing
STEP3 Find the ending time on the number line.
STEP4 Count forward on the number line to add the elapsed time. Draw and label the jumps to show the minutes.
STEP5 Write the times below the number line.
The jumps end at 11:05 A.M.
So, the ending time is 11:05 A.M.

Question 6.
Juliana wants to find the mass of a watermelon. Which unit should she use?
Options:
a. gram
b. kilogram
c. liter
d. meter

Answer: b. kilogram

Explanation:
Mass is measured in grams and kilograms small quantities like paper clips, pins are measured in grams while large quantities are measured in kilograms. Therefore watermelon is measured in kilogram.

Review/Test – Page No. 617

Question 1.
Yul and Sarah’s art class started at 11:25 a.m. The class lasted 30 minutes. Yul left when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left.
Write the time that each student left. Explain how you found each time.
Yul: _______ A.M.
Sarah: ______ P.M.

Answer: Yul: 11:55 A.M.
Sarah: 12:05 P.M.

Explanation:
Yul:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time, 30 minutes. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 11:55 A.M.
So, the ending time is 11:55 A.M.
Sarah:
STEP 1 Find the starting time on the number line
STEP 2 Count back on the number line to subtract the elapsed time, 30+5=35 minutes. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at  12:05 P.M.
So, the starting time is 12:05 P.M.

Question 2.
Julio measured an object that he found. It was about 3/4 inch wide.
For numbers 2a–2d, choose Yes or No to tell whether the object could be the one Julio measured.
a.
i. yes
ii. no

Answer: ii. no

Question 2.
b.
i. yes
ii. no

Answer: i. yes

Explanation:
The mark that is closest to the right end of the stamp is for 1 inch. So, the length of the stamp to the nearest fourth inch is 3/4 inches. Therefore the stamp is about 3/4 inch wide.

Question 2.
c.
i. yes
ii. no

Answer: ii. no

Question 2.
d.
i. yes
ii. no

Answer: ii. no

Review/Test – Page No. 618

Question 3.
Dina started swimming at 3:38 p.m. She swam until 4:15 p.m. How long did Dina swim?
________ minutes

Answer: 37 minutes

Explanation:
STEP 1 Find 3:38 P.M. on the number line. Count on from 3:38 P.M. to 4:15 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 3:38 P.M. to 4:15 p.M. From 3:38 P.M. to 4:15 P.M. is 37 minutes.
So, the elapsed time is 37 minutes

Question 4.
Rita’s class begins social studies at ten minutes before one in the afternoon. At what time does Rita’s class begin social studies? Circle a time that makes the sentence true.
Rita’s class begins social studies at
__________

Answer: 12:50 P.M.

Explanation:
Rita’s class begins social studies at ten minutes before one in the afternoon. So, the time at which the class begins is 10 minutes subtracted from 1:00 P.M. is 12:50 P.M.

Question 5.
Select the objects with a mass greater than 1 kilogram.
Mark all that apply.
Options:
a. bicycle
b. pen
c. eraser
d. math book

Answer: a. bicycle, has a mass greater than 1 kilogram.

Explanation:
Mass is measured in grams and kilograms small quantities like paper clips, pins are measured in grams while large quantities are measured in kilograms. Therefore mass of bicycle is measured in kilograms.

Question 6.
A chicken dish needs to bake in the oven for 35 minutes. The dish needs to cool for at least 8 minutes before serving. Scott puts the chicken dish in the oven at 5:14 p.m. For numbers 6a–6d, select True or False for each statement.
a. Scott can serve the dish at 5:51 p.m.
i. True
ii. False

Answer: ii. False

Question 6.
b. Scott can serve the dish at 5:58 p.m.
i. True
ii. False

Answer: ii. False

Question 6.
c. Scott should take the dish out of the oven at 5:51 a.m
i. True
ii. False

Answer: ii. False

Question 6.
d. Scott should take the dish out of the oven at 5:49 p.m.
i. True
ii. False

Answer: i. True

Explanation:
STEP 1 Find the ending time on the number line.
STEP 2 Count forward on the number line to add the elapsed time, 35 minutes ie. the time when the dish is kept in the oven to bake. Draw and label the jumps to show the minutes.
STEP 3 Write the times below the number line.
The jumps end at 5:49 P.M.
So, the ending time is 5:49 P.M.

Review/Test – Page No. 619

Question 7.
Anthony’s family went out to dinner. They left at the time shown on the clock. They returned home at 6:52 p.m.

Part A
How long was Anthony’s family gone?
_____ hour _____ minutes
_____ hour _____ minutes

Answer: 5 hours 05 minutes
6 hours 52 minutes

Explanation:
Anthony’s family left for dinner at 5 hours 05 minutes
Anthony’s family returned back home at 6 hours 52 minutes

Question 7.
Part B
Explain how you found your answer.
Type below:
__________

Answer: 107 minutes

Explanation:
STEP 1 Find 5:05 P.M. on the number line. Count on from 5:05 P.M. to 6:52 P.M. Draw marks and record the times on the number line. Then draw and label the jumps.
STEP 2 Add to find the total minutes from 5:05 P.M. to 6:52 p.M. From 5:05 P.M. to 6:52 P.M. is 107 minutes.
So, the elapsed time is 107 minutes

Question 8.
Tran checked the time on his watch after he finished his daily run.

Select the time that Tran finished running. Mark all that apply.
Options:
a. 14 minutes before nine
b. eight forty-six
c. quarter to nine
d. nine forty-six

Answer: a. 14 minutes before nine
b. eight forty-six

Explanation:
a. Count by fives and ones from the 12 on the clock back to where the minute hand is pointing. Write the missing counting numbers next to the clock.
b. Count on by fives and ones from the 12 on the clock to where the minute hand is pointing. Write the missing counting numbers next to the clock.
Write: 8 Hour 46 minutes

Question 9.
Cara uses a balance scale to compare mass.

Circle a symbol that makes the comparison true.
The mass of the blocks img 73 the mass of the erasers.
________

Answer: mass of the blocks>mass of the erasers

Explanation:
Mass of the blocks is measured in kilograms while mass of the erasers is measured in grams.

Review/Test – Page No. 620

Question 10.
A large bottle of water holds about 2 liters. For numbers 10a–10e, choose Yes or No to tell whether the container will hold all of the water.
a. kitchen sink
i. yes
ii. no

Answer: i. yes

Explanation: A kitchen sink can hold about 2 liters. Due to the larger surface area, the kitchen sink can hold about 2 liters.

Question 10.
b. water glass
i. yes
ii. no

Answer: ii. no

Question 10.
c. ice cube tray
i. yes
ii. no

Answer: ii. no

Question 10.
d. large soup pot
i. yes
ii. no

Answer: ii. no

Question 10.
e. lunchbox thermos
i. yes
ii. no

Answer: i. yes

Explanation: Lunchbox thermos can hold about only 2 liters due to its surface area, and height.

Question 11.
Select the items that would be best measured in grams.
Mark all that apply.
Options:
a. watermelon
b. lettuce leaf
c. grape
d. onion

Answer: b. lettuce leaf
c. grape

Explanation: A single leaf is measured in grams.
Mass of a single grape is measured in grams.

Question 12.
Samir made a list of what he did on Tuesday. Write the letter for each activity next to the time he did it.

A. Get out of bed.	8:05 a.m.(b)
B. Walk to school.	6:25 p.m.(e)
C. Eat lunch.	3:50 p.m.(d)
D. Go to guitar lesson after school.	11:48 a.m.(c)
E. Eat dinner at home.	6:25 a.m.(a)

Explanation:
The times after midnight and before noon is written with A.M. The times afternoon and before midnight is written with P.M.Samir gets out of the bed at 6:25 a.m. in the morning and walk to school by 8:05 a.m. in the morning. Samir finishes his lunch in the school by 11:48 a.m. After school hours Samir goes to guitar lessons at 3:50 p.m. After attending his classes Samir at 6:25 p.m. eats his dinner at home.

Review/Test – Page No. 621

Question 13.
Amy has 30 grams of flour. She puts 4 grams of flour in each pot of chowder that she makes. She puts 5 grams of flour in each pot of potato soup that she makes. She makes 4 pots of chowder. Does Amy have enough flour left over to make 3 pots of potato soup?
______

Answer: No

Explanation:
Mass of flour Amy has= 30grams
Mass of flour in each pot of chowder= 4grams
Mass of flour in each pot of potato soup= 5grams
According to the problem,
Amy makes 4 pots of chowder.
Mass of flour used to make 4 pots of chowder= 4×4= 16grams
Leftover mass of flour=30-16=14 grams
Mass of flour used to make 3 pots of potato soup=5×3=15 grams
But, Amy only has 14 grams. So, we can say that Amy doesn’t have enough flour leftover to make 3 pots of potato soup.

Question 14.
Use an inch ruler to measure.

Part A
What is the length of the leaf to the nearest fourth inch?
Type below:
__________

Answer: 2 1/4 inches

Explanation:
Line up the left end of the leaf with the zero mark on the ruler.
The right end of the leaf is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the leaf is for 1/4 inches.
So, the length of the leaf to the nearest fourth inch is 2 1/4 inches.

Question 14.
Part B
Explain what happens if you line up the left side of the object with the 1 on the ruler.
Type below:
__________

Answer: 1 1/4

Explanation:
Line up the left end of the object with the one mark on the ruler.
The right end of the paper clip is between the fourth-inch marks for 2 and 3.
The mark that is closest to the right end of the paper clip is for 1/4 inches.
So, the length of the paper clip to the nearest fourth inch is 1 1/4 inches.

Question 15.
Mrs. Park takes the 9:38 a.m. train to the city. The trip takes 3 hours and 20 minutes. What time does Mrs. Park arrive in the city?
______ : _______ _______

Answer: 12:58 P.M.

Explanation:
STEP 1 Find the ending time on the clock, the time at which Mrs. Park arrive in the city.
STEP 2 Count forward by hours and then by fives for the elapsed time of 3 hours 20 minutes. Write the missing counting numbers next to the clock.
So, the ending time is 12:58 P.M.

Question 16.
Hector buys two bags of gravel for his driveway. He buys a total of 35 kilograms of gravel. Select the bags he buys.

Answer: 17 kg and 18 kg

Explanation:
Hector buys two bags of gravel for his delivery.
Hector buys a total of 35 kilograms of gravel.
According to the problem,
The bags selected by Hector are 17 kg and 18 kg because 17+18=35 kg

Review/Test – Page No. 622

Question 17.
Ashley measures the shells she collects. She records the measurements in a chart.

Part A
Ashley found a razor clam shell this long. Use an inch ruler to measure. Record the measurement in the chart.

_____ \(\frac{□}{□}\) inches

Answer: 4 inches

Question 17.
Part B
Complete the line plot to show the data in the chart. How many shells are longer than 2 inches? Tell how you know.

_______ shells

Answer: 4

Explanation:
Calculate the number of shells which are longer than 2 inches.
By observing the number line we find 2. From 2 draw curves to the next values in such a way that the other values are greater than 2.
We need to draw the curves till 4.
Count the curves drawn from 2 to 4 the number of curves=number of shells (which are measured to the nearest half-inch)=4

Question 18.
Lucy fills a bathroom sink with water. Is the amount of water more than 1 liter, about 1 liter, or less than 1 liter?
Explain how you know.
________

Answer: More than one liter

Explanation:
Volume is measured in milliliters and liters. Small quantities like syrup, water in glass etc. are measured in milliliters while the volume of water in the bathroom sink, oil can are measured in liters. Therefore, the bathroom sink with water can hold more than one liter of water.

Go Math Grade 3 Chapter 11 Answer Key Pdf: Go Math Grade 3 Answer Key Chapter 11 Perimeter and Area is an essential study material for students. Basic concepts of Perimeter and Area are clearly explained to score high marks for students. Also, in-depth knowledge of Chapter 11 Perimeter and Area Go Math Grade 3 Answer Key mentioned with a clear explanation. Furthermore, Go Math Grade 3 Perimeter and Area is very convenient for students who are struggling and want to do extra practice in small groups. Every problem is solved and mentioned with a detailed explanation to support the students while their practice. The quiz, homework, formative assessment, or just extra practice whatever you wish to solve can easily do using Go Math Grade 3 Answer Key Chapter 11 Perimeter and Area Answer Key.

Perimeter and Area Go Math Grade 3 Chapter 11 Answer Key Pdf

For the bright future of students, following Go Math Grade 3 Chapter 11 Answer Key Perimeter and Area is mandatory. Improve problem-solving capacity by using HMH Go Math Grade 3 Answer Key.

Lesson 1: Model Perimeter

• Model Perimeter – Page No. 629
• Model Perimeter Lesson Check – Page No. 630

Lesson 2: Find Perimeter

• Find Perimeter – Page No. 635
• Find Perimeter Lesson Check – Page No. 636

Lesson 3: Find Unknown Side Lengths

• Find Unknown Side Lengths – Page No. 641
• Find Unknown Side Lengths Lesson Check – Page No. 642

Lesson 4: Understand Area

• Understand Area – Page No. 647
• Understand Area Lesson Check – Page No. 648

Lesson 5: Measure Area

• Measure Area – Page No. 653
• Measure Area Lesson Check – Page No. 654

Lesson 6: Use Area Models

• Use Area Models – Page No. 659
• Use Area Models Lesson Check – Page No. 660

Mid -Chapter Checkpoint

• Mid -Chapter Checkpoint – Page No. 661
• Mid -Chapter Checkpoint Lesson Check – Page No. 662

Lesson 7: Problem Solving Area of Rectangles

• Problem Solving Area of Rectangles – Page No. 667
• Problem Solving Area of Rectangles Lesson Check – Page No. 668

Lesson 8: Area of Combined Rectangles

• Area of Combined Rectangles – Page No. 673
• Area of Combined Rectangles Lesson Check – Page No. 674

Lesson 9: Same Perimeter, Different Areas

• Same Perimeter, Different Areas – Page No. 679
• Same Perimeter, Different Areas Lesson Check – Page No. 680
• Same Perimeter, Different Areas Lesson Check 1 – Page No. 685
• Same Perimeter, Different Areas Lesson Check 2 – Page No. 686

Review/Test

• Review/Test – Page No. 687
• Review/Test – Page No. 688
• Review/Test – Page No. 689
• Review/Test – Page No. 690
• Review/Test – Page No. 691
• Review/Test – Page No. 692

Model Perimeter – Page No. 629

Find the perimeter of the shape. Each unit is 1 centimeter.

Question 1.

22 centimeters

Answer:
22 centimeters

Explanation:

Each square in the grid is a 1 by 1-centimeter square. So, we have to do is add up the lengths of the dark segments right over the figure. Start the count from the box where 1 is placed. This parameter is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 centimeters long. So, it is 22 centimeters.

Question 2.

__________ centimeters

Answer:
22 centimeters

Explanation:

Look at the length of each side. Then, add the length of each side to get the perimeter of the given shape. The lengths of the sides are 6 + 5 + 6 + 5 = 22 centimeters.

Go Math Grade 3 Practice Book Pdf Lesson 11.1 Answer Key Question 3.

__________ centimeters

Answer:
26 centimeters

Explanation:

Given that each unit is 1 centimeter. Count the lengths of each box from number 1. So, this parameter is 26 centimeters long. or 6 + 5 + 2 + 2 + 2 + 2 + 2 + 5 = 26.

Question 4.

__________ centimeters

Answer:
30 centimeters

Explanation:

Look at the length of each side. Then, add the length of each side to get the perimeter of the given shape. The lengths of the sides are 2 + 3 + 3+ 3 + 2 + 5 + 7 + 5 = 30 centimeters long.

Problem Solving

Use the drawing for 5–6. Each unit is 1 centimeter.

Question 5.
What is the perimeter of Patrick’s shape?
__________ centimeters

Answer:
20 centimeters

Explanation:

The perimeter of Patrick’s shape = 5 + 5 + 5 + 5 =20 centimeters.

Question 6.
How much greater is the perimeter of Jillian’s shape than the perimeter of Patrick’s shape?
__________ centimeters

Answer:
2 centimeters

Explanation:

First, the perimeter of Jillian’s shape = 8 + 1 + 4 + 2 + 4 + 3 = 22 centimeters.
Difference = 22 – 20 = 2 centimeters.
The perimeter of Jillian’s shape is 2 centimeters greater than the perimeter of Patrick’s shape.

Model Perimeter – Page No. 630

Lesson Check

Question 1.
Find the perimeter of the shape.
Each unit is 1 centimeter.

Options:
a. 14 centimeters
b. 16 centimeters
c. 18 centimeters
d. 20 centimeters

Answer:
d. 20 centimeters

Explanation:

Given that each unit is 1 centimeter. Count the lengths of each box of the dark lines from number 1. So, this parameter is 20 centimeters long.

Grade 3 Assessment Test Pdf Chapter 11 Answers Question 2.
Find the perimeter of the shape.
Each unit is 1 centimeter.

Options:
a. 19 centimeters
b. 26 centimeters
c. 33 centimeters
d. 55 centimeters

Answer:
b. 26 centimeters

Explanation:

Find the length of each box and add them to find the perimeter of the given shape. The perimeter of the given shape is 8 + 4 +3 + 1 + 4 + 4 + 1 + 1 = 26 centimeters.

Spiral Review

Question 3.
Which lists the fractions in order from least to greatest?
\(\frac{2}{4}, \frac{2}{3}, \frac{2}{6}\)
Options:
a. \(\frac{2}{3}, \frac{2}{4}, \frac{2}{6}\)
b. \(\frac{2}{6}, \frac{2}{4}, \frac{2}{3}\)
c. \(\frac{2}{4}, \frac{2}{3}, \frac{2}{6}\)
d. \(\frac{2}{3}, \frac{2}{6}, \frac{2}{4}\)

Answer:
b. \(\frac{2}{6}, \frac{2}{4}, \frac{2}{3}\)

Explanation:
The numerator of the given factors is the same. So, look at the denominators to compare the size of the pieces. As the denominator gets smaller, the fraction gets larger. In the given problem, 3 is the smaller denominator compared to 4 and 6. Then, 4 is the next smaller denominator. So, the fractions in order from least to greatest are 2/6, 2/4, 2/3.

Question 4.
Kasey’s school starts at the time shown on the clock. What time does Kasey’s school start?

Options:
a. 6:40
b. 8:06
c. 8:30
d. 9:30

Answer:
c. 8:30

Explanation:
In the figure, hour-hand is indicating number 8. So, we say it is 8 hours. The minute hand is on 6. To find the minutes, multiply 6 x 5 = 30. So, it indicates 30 minutes. The time is 8 hours 30 minutes.

Question 5.
Michael and Dex are comparing fraction strips. Which statement is NOT correct?
Options:
a. \(\frac{1}{2}<\frac{2}{2}\)
b. \(\frac{2}{3}>\frac{1}{3}\)
c. \(\frac{4}{8}<\frac{3}{8}\)
d. \(\frac{4}{6}>\frac{2}{6}\)

Answer:
c. \(\frac{4}{8}<\frac{3}{8}\)

Explanation:
The denominators of the given fractions are the same. So, look at the numerators to compare the numbers.
1 < 2 is correct.
2 > 1 is correct.
4 < 3 is not correct. So, 4/8 < 3/8 is not correct.

Question 6.
Aiden wants to find the mass of a bowling ball. Which unit should he use?
Options:
a. liter
b. inch
c. gram
d. kilogram

Answer:
d. kilogram

Explanation:
The kilogram is used to find the mass of a bowling ball.

Find Perimeter – Page No. 635

Use a ruler to find the perimeter. (Note: on mobile devices like smart phones or tablets, the measurements will not be accurate.)

Question 1.

12 centimeters

Answer:
12 cm

Explanation:
Add the lengths of the sides measured to the perimeter. 4 + 3 + 2 + 3 = 12 cm.

Question 2.

_________ centimeters

Answer:
13 centimeters

Explanation:
Use a centimeter ruler to measure the length of each side.
Record and add the lengths of the sides measured to the nearest centimeter.
5 cm + 1 cm + 1 cm + 2 cm + 4 cm = 13 centimeters.

Question 3.

_________ inches

Answer:
8 inches

Explanation:
Use an inch ruler to measure the length of each side to the nearest inch.
Record and add the lengths of the sides measured to the nearest inch.
2 in + 2 in + 2 in + 2 in =8 inches.

Third Grade Go Math How to Find The Perimeter and Area Question 4.

_________ inches

Answer:
6 inches

Explanation:
Use an inch ruler to measure the length of each side.
Record and add the lengths of the sides measured to the nearest inch.
2 in + 2 in + 2 in = 6 inches.

Problem Solving

Draw a picture to solve 5–6.

Question 5.
Evan has a square sticker that measures 5 inches on each side. What is the perimeter of the sticker?
_________ inches

Answer:
20 inches

Explanation:

The square has equal sides. Each side has 5 inches. So, the perimeter of the sticker is 5 x 4 = 20 inches.

Question 6.
Sophie draws a shape that has 6 sides. Each side is 3 centimeters. What is the perimeter of the shape?
_________ centimeters

Answer:
18 centimeters

Explanation:
The perimeter of the shape is = Addition of all sides.
Given that Sophie draws a shape that has 6 sides with 3 centimeters. So, the perimeter of the shape = 3 + 3 + 3 + 3 + 3 + 3 = 18 centimeters

Find Perimeter – Page No. 636

Lesson Check

Use an inch ruler for 1–2.

Question 1.
Ty cut a label the size of the shape shown. What is the perimeter, in inches, of Ty’s label?

Options:
a. 4 inches
b. 5 inches
c. 6 inches
d. 7 inches

Answer:
c. 6 inches

Explanation:

By using an inch ruler, Ty can measure the length of each side of the given shape. Now, find the lengths of each side.
1 in + 2 in + 1 in + 2 in = 6 inches.

Question 2.
Julie drew the shape shown below. What is the perimeter, in inches, of the shape?

Options:
a. 2 inches
b. 4 inches
c. 6 inches
d. 8 inches

Answer:
d. 8 inches

Explanation:

Julie can use an inch ruler to measure the length of each side of the shape. Now, find the lengths of each side. Each side has 2 inches. So, the perimeter of the shape is 2 in + 2 in + 2 in + 2 in = 8 inches.

Spiral Review

Question 3.
What is the perimeter of the shape below?

Options:
a. 8 units
b. 10 units
c. 20 units
d. 22 units

Answer:
c. 20 units

Explanation:

From the figure, each unit is 1 centimeter. Count the lengths of each box from number 1. So, this parameter is 20 units long.

Go Math 3rd Grade Pdf Chapter 11 Measurement Answers Question 4.
Vince arrives for his trumpet lesson after school at the time shown on the clock. What time does Vince arrive for his trumpet lesson?

Options:
a. 3:26 A.M.
b. 4:26 A.M.
c. 3:26 P.M.
d. 4:26 P.M.

Answer:
c. 3:26 P.M.

Explanation:
Given that Vince arrives for his trumpet lesson after school at the time shown on the clock. As it is mentioned after school time, it is Noon. The times afternoon and before midnight are written with P.M. The hour hand is indicating the number 3. So, the answer is 3:26 P.M.

Question 5.
Matthew’s small fish tank holds 12 liters. His large fish tank holds 25 liters. How many more liters does his large fish tank hold?
Options:
a. 12 liters
b. 13 liters
c. 25 liters
d. 37 liters

Answer:
b. 13 liters

Explanation:
To get the more liters, do subtraction of large fish tank liters to small fish tank liters. So, The large fish tank is 25 liters – 12 liters = 13 liters more than Matthew’s small fish tank.

Question 6.
Cecila and Sasha are comparing fraction strips. Which statement is correct?
Options:
a. \(\frac{1}{2}<\frac{1}{3}\)
b. \(\frac{1}{8}>\frac{1}{6}\)
c. \(\frac{1}{4}>\frac{1}{2}\)
d. \(\frac{1}{6}<\frac{1}{4}\)

Answer:
d. \(\frac{1}{6}<\frac{1}{4}\)

Explanation:
Cecila and Sasha are comparing fraction strips. In the given fractions, the numerators are same. So, compare the denominators to find the largest fraction. As the denominator gets smaller, the fraction gets larger.
2 < 3 wrong.
8 > 6 wrong.
4 > 2 wrong.
6 < 4 correct.
So, 1/6 < 1/4 is the correct answer.

Find Unknown Side Lengths – Page No. 641

Find the unknown side lengths.

Question 1.
Perimeter = 33 centimeters

5 + 8 + 7 + 4 + x = 33
24 + x = 33
x = 9
x = ____ 9 _____ centimeters

Answer:
9 centimeters

Explanation:
If I knew the length x, I would add all the side lengths to find the perimeter. Given Perimeter = 33 centimeters.
Add the lengths of the given sides. 5 + 8 + 7 + 4 + x = 33.
24 + x = 33.
x = 33 – 24 =9.
x = 9 centimeters.

Question 2.
Perimeter = 14 feet

r = ____ feet

Answer:
3 feet

Explanation:
Given Perimeter = 14 feet.
Add the lengths of the given sides to find r.
4 ft + 4 ft + r + r = 14 feet.
If r =1 -> 4 + 4 + 1 + 1 = 10 not equal to 14.
If r = 2 -> 4 + 4 + 2 + 2 = 12 not equal to 14.
If r = 3 -> 4 + 4 + 3 + 3 = 14 equal to 14.
So, r = 3 feet.

3rd Grade Go Math Topic 11 Lesson 11.3 Answer Key Question 3.
Perimeter = 37 meters

s = ____ meters

Answer:
11 meters

Explanation:
Given that Perimeter = 37 meters.
Add the lengths of the given sides to find s.
8 + 11 + 5 + 2 + s = 37.
26 + s = 37.
s = 37 – 26 = 11.
s = 11 meters.

Question 4.
Perimeter = 92 inches

t = ____ inches

Answer:
15 inches

Explanation:
Given that Perimeter = 92 inches.
Add the lengths of the given sides to find t.
7 + 23 + 12 + 12 +23 + t = 92
77 + t = 92.
s = 92 – 77 = 15.
s = 15 inches.

Problem Solving

Question 5.
Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug? ____ feet

Answer:
3 feet

Explanation:

Given that Steven has a rectangular rug with a perimeter of 16 feet. Rectangular has 4 sides with two pairs of opposite sides that are equal in length.
Let the length will be x.
If x = 1 feet -> 5 + x + 5 + x = 5 + 1 + 5 + 1 = 12 feet not equal to 16.
If x = 2 feet -> 5 + x + 5 + x = 5 + 2 + 5 + 2 = 14 feet not equal to 16.
If x = 3 feet -> 5 + x + 5 + x = 5 + 3 + 5 + 3 = 16 feet equal to 16.
So, the length of the blanket is 3 feet.

Question 6.
Kerstin has a square tile. The perimeter of the tile is 32 inches. What is the length of each side of the tile?
____ inches

Answer:
8 inches

Explanation:

A square has four sides that are equal in length.
So, 4 x s = 32
4 x 8 = 32.
So, the length of each side of the square is 8 inches.

Find Unknown Side Lengths – Page No. 642

Lesson Check

Question 1.
Jesse is putting a ribbon around a square frame. He uses 24 inches of ribbon. How long is each side of the frame? Options:
a. 4 inches
b. 5 inches
c. 6 inches
d. 8 inches

Answer:
c. 6 inches

Explanation:
Jesse is putting a ribbon around a square frame. A square has four sides that are equal in length.
So, 4 x k = 24 inches.
4 x 6 = 24 inches.
Each side of the frame 6 inches.

Question 2.
Davia draws a shape with 5 sides. Two sides are each 5 inches long. Two other sides are each 4 inches long. The perimeter of the shape is 27 inches. What is the length of the fifth side?
Options:
a. 9 inches
b. 13 inches
c. 14 inches
d. 18 inches

Answer:
a. 9 inches

Explanation:
. From the given information, Davia draws a shape with 5 sides.
2 sides = each 5 inches long.
2 sides = each 4 inches long.
Let the other side is k.
The perimeter of the shape = 5 + 5 + 4 + 4 + k = 27 inches.
18 + k = 27 inches.
k = 27 – 18 inches.
k = 9 inches.

Spiral Review

Question 3.
Which of the following represents 7 + 7 + 7 + 7?
Options:
a. 4 × 4
b. 4 × 7
c. 6 × 7
d. 7 × 7

Answer:
b. 4 × 7

Explanation:
7 + 7 + 7 + 7 = 28.
4 x 4 = 16 not equal to 28.
4 x 7 = 28 equal to 28.
7 + 7 + 7 + 7 = 4 × 7.

Go Math Grade 3 Chapter 11 Review/Test Answer Key Question 4.
Bob bought 3 packs of model cars. He gave 4 cars to Ann. Bob has 11 cars left. How many model cars were in each pack?
Options:
a. 18
b. 11
c. 7
d. 5

Answer:
d. 5

Explanation:
If Bob has 11 cars left after he gave 4 to Ann, that means he had 15 cars in total. If Bob had 15 cars in total, and these 15 cars were divided into 3 packs, that means each pack contained 5 cars. The answer is 5 cars in each pack.

Question 5.
Randy looked at his watch when he started and finished reading. How long did Randy read?

Options:
a. 55 minutes
b. 45 minutes
c. 35 minutes
d. 15 minutes

Answer:
b. 45 minutes

Explanation:
Randy started reading at 4:10.
Randy finished reading at 4:55.
Subtract to find the Randy read time.
4:55 – 4:10 = 45 minutes
So, Randy read 45 minutes.

Question 6.
Which statement does the model represent?

Options:
a. \(\frac{4}{4}\) = 1
b. \(\frac{3}{4}\) = 1
c. \(\frac{2}{4}\) = 1
d. \(\frac{1}{4}\) = 1

Answer:
a. \(\frac{4}{4}\) = 1

Explanation:
The first image represents the whole circle divided into 4 equal parts. So, each part is \(\frac{1}{4}\).
Together, all 4 parts represent \(\frac{4}{4}\) or one whole circle.
The second image represents one whole circle.
\(\frac{4}{4}\) = 1.

Understand Area – Page No. 647

Count to find the area for the shape.

Question 1.

Area = 6 square units

Answer:
6 square units

Explanation:

The area is the measure of the number of unit squares needed to cover a flat surface. A unit square is a square with a side length of 1 unit. It has an area of 1 square unit (sq un). Count the number of Squares to get the answers. 1, 2, 3, 4, 5, 6.
Area = 6 square units.

Question 2.

Area = ______ square units

Answer:
4 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4.
Area = 4 square units.

Question 3.

Area = ______ square units

Answer:
5 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4, 5.
Area = 5 square units.

Question 4.

Area = ______ square units

Answer:
7 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4, 5, 6, 7.
Area = 7 square units.

Question 5.

Area = ______ square units

Answer:
8 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4, 5, 6, 7, 8.
Area = 8 square units.

Question 6.

Area = ______ square units

Answer:
13 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4, 5, 6, 7, 8,9, 10, 11, 12, 13.
Area = 13 square units.

Write area or perimeter for each situation.

Question 7.
carpeting a floor
_________

Answer:
Area

Question 8.
fencing a garden
_________

Answer:
2. Perimeter

Problem Solving

Use the diagram for 9–10.

Answer:
12 square units

Explanation:

Count the number of Squares to get the answers. 1, 2, 3, 4, 5, 6, 7, 8,9, 10, 11, 12.
Area = 12 square units.

Question 9.
Rober to is building a platform for his model railroad. What is the area of the platform?
Area = ______ square units

Answer:
12 square units

Explanation:
The area of the platform = Count the total number of Squares to get the answers. 1, 2, 3, 4, 5, 6, 7, 8,9, 10, 11, 12.
Area = 12 square units.

Question 10.
Rober to will put a border around the edges of the platform. How much border will he need?
Border = ______ units

Answer:
16 units

Explanation:
To know the edges of the platform, we need to calculate the perimeter of the given shape. So, we need to add the length of all sides. 2 + 4 + 3 + 2 + 1 + 1 + 2 + 1 = 16 units.

Understand Area – Page No. 648

Lesson Check

Question 1.
Josh used rubber bands to make the shape below on his geoboard. What is the area of the shape?

Options:
a. 3 square units
b. 4 square units
c. 5 square units
d. 6 square units

Answer:
a. 3 square units

Explanation:

If Josh used rubber bands to make the shape below on his geoboard, he can divide the shape into 2 smaller regular shapes.
The shape 1 marked as square = 1 square unit.
The shape 2 marked as rectangle = 2 square units.
The total area = Shape 1 + Shape 2 = 1 + 2 = 3 square units.

Go Math Grade 3 Pdf Chapter 11 Review/Test Question 2.
Wilma drew the shape below on dot paper. What is the area of the shape she drew?

Options:
a. 4 square units
b. 5 square units
c. 6 square units
d. 7 square units

Answer:
b. 5 square units

Explanation:

Wilma drew the shape below on dot paper.
The area of the shape = number of unite square boxes = 1 + 1 + 1 + 1 + 1 = 5 square units.

Spiral Review

Question 3.
Leonardo knows it is 42 days until summer break. How many weeks is it until Leonardo’s summer break? (Hint: There are 7 days in a week.)
Options:
a. 5 weeks
b. 6 weeks
c. 7 weeks
d. 8 weeks

Answer:
b. 6 weeks

Explanation:
Leonardo knows it is 42 days until summer break. There are 7 days in a week. So, by dividing 42 with 7 Leonardo can find summer break in weeks. 42/7 = 6 weeks.

Question 4.
Nan cut a submarine sandwich into 4 equal parts and ate one part. What fraction represents the part of the sandwich Nan ate?
Options:
a. \(\frac{1}{4}\)
b. \(\frac{1}{3}\)
c. \(\frac{4}{4}\)
d. \(\frac{4}{1}\)

Answer:
a. \(\frac{1}{4}\)

Explanation:
Nan cut a submarine sandwich into 4 equal parts and ate one part. So, remaining parts are 3. The fraction of the sandwich Nan ate = \(\frac{1}{4}\).

Question 5.
Wanda is eating breakfast. Which is a reasonable time for Wanda to be eating breakfast?
Options:
a. 7:45 A.M.
b. 7:45 P.M.
c. 2:15 P.M.
d. 2:15 A.M.

Answer:
a. 7:45 A.M.

Explanation:
The reasonable time for Wanda to eat breakfast is 7:45 A.M. Because breakfast will eat in the morning i.e, A.M.

Question 6.
Dick has 2 bags of dog food. Each bag contains 5 kilograms of food. How many kilograms of food does Dick have in all?
Options:
a. 3 kilograms
b. 5 kilograms
c. 7 kilograms
d. 10 kilograms

Answer:
d. 10 kilograms

Explanation:
Dick has 2 x 5 = 10 kilograms of food in total.

Measure Area – Page No. 653

Count to find the area of the shape. Each unit square is 1 square centimeter.

Question 1.

Area 14 square centimeters.

Answer:
14 square centimeters

Explanation:

The number of unit square in the given figure is 14. So, the area of the shape = 14 square centimeters.

Question 2.

Area = ________ square centimeters

Answer:
16 square centimeters

Explanation:

The area of the shape = 16 square centimeters.

Go Math 3rd Grade Chapter 11 Test Question 3.

Area = ________ square centimeters

Answer:
11 square centimeters

Explanation:

The area of the shape = 11 square centimeters.

Question 4.

Area = ________ square centimeters

Answer:
22 square centimeters

Explanation:

The area of the shape = 22 square centimeters.

Problem Solving

Alan is painting his deck gray. Use the diagram at the right for 5–6. Each unit square is 1 square meter.

Question 5.
What is the area of the deck that Alan has already painted gray?
_______ square meters

Answer:
16 square meters

Explanation:

The area of the deck that Alan has already painted gray is 16 square meters.

Question 6.
What is the area of the deck that Alan has left to paint?
_______ square meters

Answer:
19 square meters

Explanation:

The area of the deck that Alan has left to paint is 19 square meters.

Measure Area – Page No. 654

Lesson Check

Each unit square in the diagram is 1 square foot.

Question 1.
How many square feet are shaded?
Options:
a. 19 square feet
b. 21 square feet
c. 23 square feet
d. 25 square feet

Answer:
c. 23 square feet

Explanation:

Question 2.
What is the area that has NOT been shaded?
Options:
a. 19 square feet
b. 21 square feet
c. 23 square feet
d. 25 square feet

Answer:
a. 19 square feet

Explanation:

Spiral Review

Question 3.
Sonya buys 6 packages of rolls. There are 6 rolls in each package. How many rolls does Sonya buy?
Options:
a. 42
b. 36
c. 24
d. 12

Answer:
b. 36

Explanation:
6 x 6 = 36. Sonya buys 36 rolls.

Go Math Grade 3 Chapter 11 Test Answer Key Question 4.
Charlie mixed 6 liters of juice with 2 liters of soda to make fruit punch. How many liters of fruit punch did Charlie make?
Options:
a. 3 liters
b. 4 liters
c. 8 liters
d. 12 liters

Answer:
c. 8 liters

Explanation:
6 + 2 = 8 liters. Charlie can make 8 liters of fruit punch.

Question 5.
Which drawing shows \(\frac{2}{3}\) of the circle shaded?
Options:
a.
b.
c.
d.

Answer:
d.

Explanation:
Option d is the correct answer. 2/3 means the whole circle has 3 parts. 2 of the parts are shaded.

Question 6.
Use the models to name a fraction that is equivalent to \(\frac{1}{2}\).

Options:
a. \(\frac{2}{1}\)
b. \(\frac{2}{2}\)
c. \(\frac{2}{4}\)
d. \(\frac{4}{4}\)

Answer:
c. \(\frac{2}{4}\)

Explanation:
\(\frac{2}{4}\) = \(\frac{1}{2}\). So, the answer is \(\frac{2}{4}\)

Use Area Models – Page No. 659

Find the area of each shape. Each unit square is 1 square foot.

Question 1.

Answer:
24 square feet

Explanation:

There are 3 rows of 8 unit squares.
3 x 8 = 24.

Question 2.

_________ square feet

Find the area of each shape.
Each unit square is 1 square meter.

Answer:
16 square feet

Explanation:

There are 4 rows of 4 unit squares.
4 x 4 = 16 square feet.

Question 3.

_________ square meters

Answer:
12 square meters

Explanation:

There are 2 rows of 6 unit squares.
2 x 6 = 12 square meters.

Question 4.

_________ square meters

Answer:
24 square meters

Explanation:

There are 4 rows of 6 unit squares.
4 x 6 = 24 square meters.

Question 5.

_________ square meters

Answer:
15 square meters

Explanation:

There are 5 rows of 3 unit squares.
5 x 3 = 15 square meters.

Problem Solving

Question 6.
Landon made a rug for the hallway. Each unit square is 1 square foot. What is the area of the rug?

_________ square feet

Answer:
20 square feet

Explanation:

Count the number of unit square boxes = 20 square feet. Or, there are 2 rows of 10 unit squares.
2 x 10 = 20 square feet.

Go Math 3rd Grade Chapter 11 Review Test Answer Key Question 7.
Eva makes a border at the top of a picture frame. Each unit square is 1 square inch. What is the area of the border?
_________ square feet

Answer:
8 square feet

Explanation:

Count the number of unit square boxes = 20 square feet. Or, there are 1 rows of 8 unit squares.
1 x 8 = 8 square feet.

Use Area Models – Page No. 660

Lesson Check

Question 1.
The entrance to an office has a tiled floor. Each square tile is 1 square meter. What is the area of the floor?

Options:
a. 8 square meters
b. 9 square meters
c. 10 square meters
d. 12 square meters

Answer:
b. 9 square meters

Explanation:

There are 9 square boxes available. So, the area of the floor = 9 square meters.

Question 2.
Ms. Burns buys a new rug. Each unit square is 1 square foot. What is the area of the rug?

Options:
a. 5 square feet
b. 7 square feet
c. 10 square feet
d. 12 square feet

Answer:
c. 10 square feet

Explanation:

The area of the rug = 10 square feet.

Spiral Review

Question 3.
Ann and Bill are comparing fraction strips. Which statement is correct?
Options:
a. \(\frac{3}{8}>\frac{5}{8}\)
b. \(\frac{3}{4}<\frac{1}{4}\)
c. \(\frac{3}{6}>\frac{4}{6}\)
d. \(\frac{1}{3}<\frac{2}{3}\)

Answer:
d. \(\frac{1}{3}<\frac{2}{3}\)

Explanation:
The denominator of the given fractions are same. So, compare the numerators to find the correct answer.
3 > 5 wrong.
3 < 1 wrong.
3 > 4 wrong.
1 < 2 correct.
The answer is \(\frac{1}{3}<\frac{2}{3}\).

Question 4.
Claire bought 6 packs of baseball cards. Each pack had the same number of cards. If Claire bought 48 baseball cards in all, how many cards were in each pack?
Options:
a. 54
b. 42
c. 8
d. 6

Answer:
c. 8

Explanation:
6 x k = 48. So, k = 48/6 = 8.
8 cards were in each pack.

Question 5.
Austin left for school at 7:35 A.M.. He arrived at school 15 minutes later. What time did Austin arrive at school?
Options:
a. 7:40 A.M.
b. 7:50 A.M.
c. 7:55 A.M.
d. 8:00 A.M.

Answer:
b. 7:50 A.M.

Explanation:
7:35 A.M. + 15 minutes = 7:50 A.M

Question 6.
Wyatt’s room is a rectangle with a perimeter of 40 feet. The width of the room is 8 feet. What is the length of the room?
Options:
a. 5 feet
b. 12 feet
c. 16 feet
d. 32 feet

Answer:
b. 12 feet

Explanation:
The perimeter of rectangle = 40 feet.
The width of the room is 8 feet.
8 + k + 8 + k = 40.
If k = 10 -> 8 + 10 + 8 + 10 = 36.
If k = 11 -> 8 + 11 + 8 + 11 = 38.
If k = 12 -> 8 + 12 + 8 + 12 = 40.
So, the length of the room = 12 feet.

Mid -Chapter Checkpoint – Page No. 661

Vocabulary

Choose the best term from the box.

Question 1.
The distance around a figure is the _____________ .
_____________

Answer:
Perimeter

Question 2.
The measure of the number of unit squares needed to cover a figure with no gaps or overlaps is the _____________ .
_____________

Answer:
Area

Concepts and Skills

Find the perimeter of the figure. Each unit is 1 centimeter.

Question 3.

_______ centimeters

Answer:
16 centimeters

Explanation:

5 + 2 + 2 + 1 + 2 + 1 + 1 + 2 = 16 centimeters.

Question 4.

_______ centimeters

Answer:
14 cm

Explanation:

4 + 3 + 4 + 3 = 14 cm.

Find the unknown side lengths.

Question 5.
Perimeter = 33 centimeters

g = ______ centimeters

Answer:
3 centimeters

Explanation:
Given that Perimeter = 33 centimeters.
10 + 6 + 10 + g + 4 = 33 centimeters.
30 + g = 33 centimeters.
g= 33 – 30 centimeters.
g = 3 centimeters.

Go Math Chapter 11 Grade 3 Answer Key Question 6.
Perimeter = 32 feet

k = ______ feet

Answer:
4 feet

Explanation:
Perimeter = 32 feet.
12 ft + k + 12 ft + k = 32 feet.
If k = 1 then 12 + 1 + 12 + 1 = 26 feet not equal to 32 feet.
If k = 2 then 12 + 2 + 12 + 2 = 28 feet not equal to 32 feet.
If k = 3 then 12 + 3 + 12 + 3 = 30 feet not equal to 32 feet.
If k = 4 then 12 + 4 + 12 + 4 = 32 feet equal to 32 feet.
So, k = 4 feet.

Find the area of the figure. Each unit square is 1 square meter.

Question 7.

______ square meters

Answer:
14 square meters

Explanation:

Question 8.

______ square meters

Answer:
30 square meters

Explanation:

10 x 3 = 30 square meters.

Mid -Chapter Checkpoint – Page No. 662

Question 9.
Ramona is making a lid for her rectangular jewelry box. The jewelry box has side lengths of 6 centimeters and 4 centimeters. What is the area of the lid Ramona is making?

______ square meters

Answer:
24 square meters.

Explanation:
The area of the lid = 4 cm x 6 cm = 24 cm.
Ramona making 24 cm lid for her rectangular jewelry box.

Question 10.
Adrienne is decorating a square picture frame. She glued 36 inches of ribbon around the edge of the frame. What is the length of each side of the picture frame?

a = ______ inches

Answer:
9 inches

Explanation:
A square has the same lengths.
The length of each side 4 x a = 36 inches.
a = 36/4 = 9 inches.

Question 11.
Margo will sweep a room. A diagram of the floor that she needs to sweep is shown at the right. What is the area of the floor?

______ square units

Answer:
27 square units

Explanation:

27 square units

Question 12.
Jeff is making a poster for a car wash for the Campout Club. What is the perimeter of the poster?

______ feet

Answer:
8 ft

Explanation:
Perimeter = 3 + 1 + 3 + 1 = 8 ft.

Question 13.
A rectangle has two side lengths of 8 inches and two side lengths of 10 inches. What is the perimeter of the rectangle? What is the area of the rectangle?
Perimeter ______ inches
Area = ______ square inches

Answer:
Perimeter = 36 inches.
Area = 80 square inches.

Explanation:

The perimeter of the rectangle = 8 + 10 + 8 + 10 = 36.
Area = 10 x 8 = 80 square inches.

Problem Solving Area of Rectangles – Page No. 667

Use the information for 1–3.

An artist makes rectangular murals in different sizes. Below are the available sizes. Each unit square is 1 square meter.

Question 1.
Complete the table to find the area of each mural.

Mural	Length (in meters)	Width (in meters)	Area (in square meters)
A	2	1	2
B	2	2	4
C	2	__4_______	__8_______
D	2	____8_____	___16______

Question 2.
Find and describe a pattern of how the length changes and how the width changes for murals A through D.
Type below:
_____________

Answer:
For each mural, the width doubles and the length stays the same.

Question 3.
How do the areas of the murals change when the width changes?
Type below:
_____________

Answer:
For each mural, the area doubles.

Question 4.
Dan built a deck that is 5 feet long and 5 feet wide. He built another deck that is 5 feet long and 7 feet wide. He built a third deck that is 5 feet long and 9 feet wide. How do the areas change?
Type below:
_____________

Answer:
The area of each deck is increased by 10 square feet.

Explanation:
1st deck area = 5 x 5 = 25 feet.
2nd deck area = 5 x 7 = 35 feet.
3rd deck area = 5 x 9 = 45 feet.
The area of each deck is increased by 10 square feet.

Problem Solving Area of Rectangles – Page No. 668

Lesson Check

Question 1.
Lauren drew the designs below. Each unit square is 1 square centimeter. If the pattern continues, what will be the area of the fourth shape?

Options:
a. 10 square centimeters
b. 12 square centimeters
c. 14 square centimeters
d. 16 square centimeters

Answer:
b. 12 square centimeters

Explanation:

4 x 3 = 12 cm. The area of the fourth shape is 12 square centimeters.

Question 2.
Henry built one garden that is 3 feet wide and 3 feet long. He also built a garden that is 3 feet wide and 6 feet long, and a garden that is 3 feet wide and 9 feet long. How do the areas change?
Options:
a. The areas do not change.
b. The areas double.
c. The areas increase by 3 square feet.
d. The areas increase by 9 square feet.

Answer:
d. The areas increase by 9 square feet.

Explanation:
1st garden = 3 x 3 = 9 feet.
2nd garden = 3 x 6 = 18 feet.
3rd garden = 3 x 9 = 27 feet.
The areas increase by 9 square feet.

Spiral Review

Question 3.
Joe, Jim, and Jack share 27 football cards equally. How many cards does each boy get?
Options:
a. 7
b. 8
c. 9
d. 10

Answer:
c. 9

Explanation:
x + x + x = 27.
3x = 27.
x = 27/3 = 9.
Each boy gets 9 football cards.

Question 4.
Nita uses \(\frac{1}{3}\) of a carton of 12 eggs. How many eggs does she use?

Options:
a. 3
b. 4
c. 6
d. 9

Answer:
b. 4

Explanation:
\(\frac{1}{3}\) of a carton of 12 eggs = \(\frac{1}{3}\) x 12 = 4.
Nita uses 4 eggs.

Question 5.
Brenda made 8 necklaces. Each necklace has 10 large beads. How many large beads did Brenda use to make the necklaces?
Options:
a. 80
b. 85
c. 90
d. 100

Answer:
a. 80

Explanation:
8 x 10 = 80 beads.
Brenda uses 80 beads to make the necklaces

3rd Grade Math Book Answers How to Find Area and Perimeter Question 6.
Neal is tiling his kitchen floor. Each square tile is 1 square foot. Neal uses 6 rows of tiles with 9 tiles in each row. What is the area of the floor?
Options:
a. 15 square feet
b. 52 square feet
c. 54 square feet
d. 57 square feet

Answer:
c. 54 square feet

Explanation:
The area of the floor = 6 x 9 = 54 square feet.

Area of Combined Rectangles – Page No. 673

Use the Distributive Property to find the area.
Show your multiplication and addition equations.

Question 1.

Answer:
28 Square Units

Explanation:

Question 2.

_______ square units

Answer:
27 square units

Explanation:

3 x 3 = 9; 3 x 6 = 18.
9 + 18 = 27
27 square units.

Draw a line to break apart the shape into rectangles. Find the area of the shape.

Question 3.

Type below:
_____________

Answer:
31 square units

Explanation:

5 x 5 = 25; 2 x 3 = 6
25 + 6 = 31
31 square units

Question 4.

Type below:
_____________

Answer:
32 square units

Explanation:

4 x 4 = 16; 2 x 8 = 16.
16 + 16 = 32.
32 square units

Problem Solving

A diagram of Frank’s room is at right. Each unit square is 1 square foot.

Question 5.
Draw a line to divide the shape of Frank’s room into rectangles.

Answer:

Question 6.
What is the total area of Frank’s room?
_______ square feet

Answer:
75 square feet

Explanation:

6 x 5 = 30; 5 x 9 = 45
30 + 45 = 75.
75 square feet

Area of Combined Rectangles – Page No. 674

Lesson Check

Question 1.
The diagram shows Ben’s backyard. Each unit square is 1 square yard. What is the area of Ben’s backyard?

Options:
a. 12 square yards
b. 16 square yards
c. 18 square yards
d. 24 square yards

Answer:
b. 16 square yards

Explanation:

6 x 3 = 18 square yards

Question 2.
The diagram shows a room in an art gallery. Each unit square is 1 square meter. What is the area of the room?

Options:
a. 24 square meters
b. 30 square meters
c. 36 square meters
d. 40 square meters

Answer:
b. 30 square meters

Explanation:

3 x 5 = 15; 3 x 5 = 15
15 + 15 = 30 square meters

Spiral Review

Question 3.
Naomi needs to solve 28 ÷ 7 = ■. What related multiplication fact can she use to find the unknown number?
Options:
a. 3 × 7 = 21
b. 4 × 7 = 28
c. 5 × 7 = 35
d. 6 × 7 = 42

Answer:
b. 4 × 7 = 28

Explanation:
28 ÷ 7 = 4. So, 4 x 7 = 28 is the answer.

Go Math Workbook Grade 3 Pdf Perimeter Answer Key Question 4.
Karen drew a triangle with side lengths of 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?
Options:
a. 7 centimeters
b. 9 centimeters
c. 11 centimeters
d. 12 centimeters

Answer:
d. 12 centimeters

Explanation:
Perimeter = 3 centimeters + 4 centimeters + 5 centimeters = 12 centimeters.

Question 5.
The rectangle is divided into equal parts. What is the name of the equal parts?

Options:
a. half
b. third
c. fourth
d. sixth

Answer:
c. fourth

Question 6.
Use an inch ruler. To the nearest half inch, how long is this line segment?

Options:
a. 1
b. 1 \(\frac{1}{2}\)
c. 2
d. 2 \(\frac{1}{2}\)

Answer:
c. 2

Explanation:
The line segment = 2 inches.

Same Perimeter, Different Areas – Page No. 679

Find the perimeter and the area.
Tell which rectangle has a greater area.

Question 1.

A: Perimeter = 12 ;
Area = 9 square units

B: Perimeter = ______ units;
Area = ______ square units;
Rectangle ______ has a greater area.

Answer:
Rectangle A has a greater area.

Explanation:

A: Perimeter = 12 ;
Area = 9 square units
B: Perimeter = 2 + 4 + 2 + 4 = 12
Area = 2 x 4 = 8 square units
Rectangle A has a greater area.

Question 2.

A: Perimeter = ______ units;
Area = ______ square units;

B: Perimeter = ______ units;
Area = ______ square units;
Rectangle ______ has a greater area.

Answer:
Rectangle A has a greater area.

Explanation:

A: Perimeter = 4 + 1 + 4 + 1 = 10
Area = 4 x 1 = 4 square units
B: Perimeter = 3 + 2 + 3 + 2 = 10
Area = 3 x 2 = 6 square units
Rectangle B has a greater area.

Problem Solving

Question 3.
Tara’s and Jody’s bedrooms are shaped like rectangles. Tara’s bedroom is 9 feet long and 8 feet wide. Jody’s bedroom is 7 feet long and 10 feet wide. Whose bedroom has the greater area? Explain.
_________ ‘s bedrooms is greater.

Answer:
Tara’s bedroom has a greater area than Jody’s bedroom area.

Explanation:
Tara’s bedroom area = 9 x 8 = 72 feet.
Jody’s bedroom area = 7 x 10 = 70 feet.
72 feet > 70 feet.
Tara’s bedroom has a greater area than Jody’s bedroom area.

Chapter 11 Mid Chapter Test Go Math Grade 3 Question 4.
Mr. Sanchez has 16 feet of fencing to put around a rectangular garden. He wants the garden to have the greatest possible area. How long should the sides of the garden be?
Width: ______ Length: ______ feet long

Answer:
All four sides should be 4 feet long.

Explanation:
Mr. Sanchez has 16 feet of fencing to put around a rectangular garden.
Perimeter = 1 + 7 + 1 + 7 = 16 feet. Area = 1 x 7 = 7 feet.
Perimeter = 2 + 6 + 2 + 6 = 16 feet. Area = 2 x 6 = 12 feet.
Perimeter = 3 + 5 + 3 + 5 = 16 feet. Area = 3 x 5 = 15 feet.
perimeter = 4 + 4 + 4 + 4 = 16 feet. Area = 4 x 4 = 16 feet.
The area is maximum when all the four sides are 4 feet long.

Same Perimeter, Different Areas – Page No. 680

Question 1.
Which shape has a perimeter of 12 units and an area of 8 square units?
Options:
a.
b.
c.
d.

Answer:
b

Explanation:
Perimeter = 2 + 4 + 2 + 4 = 12 units.
Area = 2 x 4 = 8 square units

Question 2.
All four rectangles below have the same perimeter. Which rectangle has the greatest area?
Options:
a.
b.
c.
d.

Answer:
d

Explanation:
a. Area = 2 x 10 = 20.
b. Area = 3 x 9 = 27.
c. Area = 4 x 8 = 32.
d. Area = 5 x 7 = 35.
d has the greatest area.

Spiral Review

Question 3.
Kerrie covers a table with 8 rows of square tiles. There are 7 tiles in each row. What is the area that Kerrie covers in square units?
Options:
a. 15 square units
b. 35 square units
c. 42 square units
d. 56 square units

Answer:
d. 56 square units

Explanation:
Area = 8 x 7 = 56.
Kerrie covers 56 square units area.

Question 4.
Von has a rectangular workroom with a perimeter of 26 feet. The length of the workroom is 6 feet. What is the width of Von’s workroom?
Options:
a. 7 feet
b. 13 feet
c. 20 feet
d. 26 feet

Answer:
a. 7 feet

Explanation:
Perimeter = 26 feet.
Length = 6 feet.
Given Von has a rectangular workroom. So, two lengths and two widths are the same for a rectangle.
Perimeter of a rectangle = Length + Width + Length + Width = 6 + W + 6 + W = 26 feet.
12 + 2W = 26 feet.
2W = 26 – 12 = 14.
W = 14/2 = 7 feet.

Same Perimeter, Different Areas – Page No. 685

Find the perimeter and the area. Tell which rectangle has a greater perimeter.

Question 1.

A: Area = 8 square units ;
Perimeter = 18 units ;

B: Area = _______ square units;
Perimeter = _______ units;
Rectangle _______ has a greater perimeter.

Answer:
Rectangle A has a greater perimeter

Explanation:

A: Area = 8 square units ;
Perimeter = 18 units ;
B: Area = ___8____ square units;
Perimeter = ____12___ units;
Rectangle ___A____ has a greater perimeter.

Question 2.

A: Area = _______ square units;
Perimeter = _______ units;

Question 2.

B: Area = _______ square units;
Perimeter = _______ units;
Rectangle _______ has a greater perimeter.

Answer:
Rectangle B has a greater perimeter

Explanation:


A: Area = 12 square units ;
Perimeter = 14 units ;
B: Area = ___12____ square units;
Perimeter = ____16___ units;
Rectangle ___B____ has a greater perimeter.

Question 3.

A: Area = _______ square units;
Perimeter = _______ units;

Question 3.

B: Area = _______ square units;
Perimeter = _______ units;
Rectangle _______ has a greater perimeter.

Answer:
Rectangle B has a greater perimeter

Explanation:


A: Area = 16 square units ;
Perimeter = 16 units ;
B: Area = ___16____ square units;
Perimeter = ____20___ units;
Rectangle ___B____ has a greater perimeter.

Problem Solving

Use the tile designs for 4–5.

Perimeter and Area Answer Key Go Math Florida Grade 3 Question 4.
Compare the areas of Design A and Design B.
The area of Design A ________ The area of Design B

Answer:
The area of Rectangle A and Rectangle B are equal.

Explanation:
A: Area = 20 square units ;
B: Area = ___20____ square units;

Question 5.
Compare the perimeters. Which design has the greater perimeter?
The perimeter of A ________ The perimeter of B

Answer:
The perimeter of A Greater than the perimeter of B

Explanation:
A: Perimeter = 24 units ;
B: Perimeter = ____18___ units;

Same Perimeter, Different Areas – Page No. 686

Lesson Check

Question 1.
Jake drew two rectangles. Which statement is true?

Options:
a. The perimeters are the same.
b. The area of A is greater.
c. The perimeter of A is greater.
d. The perimeter of B is greater

Answer:
d. The perimeter of B is greater

Explanation:

A: Area = 6 square units ;
Perimeter = 10 units ;
B: Area = ___6____ square units;
Perimeter = ____14___ units;
The perimeter of B is greater.

Question 2.
Alyssa drew two rectangles. Which statement is true?

Options:
a. The perimeter of B is greater.
b. The perimeter of A is greater.
c. The area of B is greater.
d. The perimeters are the same.

Answer:
b. The perimeter of A is greater.

Explanation:

A: Area = 18 square units ;
Perimeter = 22 units ;
B: Area = ___18____ square units;
Perimeter = ____18___ units;
The perimeter of A is greater.

Spiral Review

Question 3.
Marsha was asked to find the value of 8 – 3 x 2. She wrote a wrong answer. Which is the correct answer?
Options:
a. 22
b. 10
c. 4
d. 2

Answer:
d. 2

Explanation:
8 – (3 x 2) = 8 – 6 = 2

Go Math Grade 3 Chapter 11 Answer Key Pdf Question 4.
What fraction names the point on the number line?

Options:
a. \(\frac{1}{4}\)
b. \(\frac{2}{3}\)
c. \(\frac{3}{4}\)
d. \(\frac{3}{1}\)

Answer:
c. \(\frac{3}{4}\)

Explanation:
From the given figure, we can write the fraction name the point on the number line = \(\frac{3}{4}\)

Question 5.
Kyle drew three line segments with these lengths: \(\frac{2}{4}\) inch, \(\frac{2}{3}\) inch, and \(\frac{2}{6}\) inch. Which list orders the fractions from least to greatest?
Options:
a. \(\frac{2}{6}, \frac{2}{4}, \frac{2}{3}\)
b. \(\frac{2}{3}, \frac{2}{4}, \frac{2}{6}\)
c. \(\frac{2}{4}, \frac{2}{3}, \frac{2}{6}\)
d. \(\frac{2}{6}, \frac{2}{3}, \frac{2}{4}\)

Answer:
c. \(\frac{3}{4}\)

Explanation:
Given fractions are \(\frac{2}{4}\) inch, \(\frac{2}{3}\) inch, and \(\frac{2}{6}\) inch.
All the fractions have the same numerator. The denominators should compare to find the answer. The smaller denominator represents the larger number. So, \(\frac{2}{6}, \frac{2}{4}, \frac{2}{3}\) is the answer.

Question 6.
On Monday, \(\frac{3}{8}\) inch of snow fell. On Tuesday, \(\frac{5}{8}\) inch of snow fell. Which statement correctly compares the snow amounts?
Options:
a. \(\frac{3}{8}=\frac{5}{8}\)
b. \(\frac{3}{8}<\frac{5}{8}\)
c. \(\frac{5}{8}<\frac{3}{8}\)
d. \(\frac{3}{8}>\frac{5}{8}\)

Answer:
b. \(\frac{3}{8}<\frac{5}{8}\)

Explanation:
Given fractions are \(\frac{3}{8}\) and \(\frac{5}{8}\).
The denominators are equal for given fractions. So, compare numerators to find the correct equation.
3 < 5. So, \(\frac{3}{8}<\frac{5}{8}\) is the correct answer.

Review/Test – Page No. 687

Question 1.
Find the perimeter of each figure on the grid. Identify the figure that have a perimeter of 14 units. Mark all that apply.
Options:
a.
b.
c.
d.

Answer:
a and c have a perimeter of 14 units.

Explanation:
a. The Perimeter of A = 14 units.
b. The perimeter of B = 16 units.
c. The perimeter of C = 14 units.
d. The perimeter of D = 16 units

Question 2.
Kim wants to put trim around a picture she drew. How many centimeters of trim does Kim need for the perimeter of the picture?

_________ centimeters

Answer:
24 centimeters

Explanation:
Perimeter = 6 + 6 + 6+ 6 = 24 centimeters.

Question 3.
Sophia drew this rectangle on dot paper. What is the area of the rectangle?

_________ square units

Answer:
8 square units

Explanation:

8 square units

Review/Test – Page No. 688

Question 4.
The drawing shows Seth’s plan for a fort in his backyard. Each unit square is 1 square foot.

Which equations can Seth use to find the area of the fort?
Mark all that apply.
Options:
a. 4 + 4 + 4 + 4 = 16
b. 7 + 4 + 7 + 4 = 22
c. 7 + 7 + 7 + 7 = 28
d. 4 × 4 = 16
e. 7 × 7 = 49
f. 4 × 7 = 28

Answer:
b and f are correct.

Explanation:

Area = 4 × 7 = 28
Perimeter = 7 + 4 + 7 + 4 = 22.

Question 5.
Which rectangle has a number of square units for its area equal to the number of units of its perimeter?
Options:
a.
b.
c.
d.

Answer:
B rectangle has a number of square units for its area equal to the number of units of its perimeter

Explanation:
a. Area = 1 x 7 = 7 units.
Perimeter = 1 + 7 + 1 + 7 = 16 units.
b. a. Area = 4 x 4 = 16 units.
Perimeter = 4 + 4 + 4 + 4 = 16 units.
c. a. Area = 2 x 6 = 12 units.
Perimeter = 2 + 6 + 2 + 6 = 16 units.
d. a. Area = 3 x 5 = 7 units.
Perimeter = 3 + 5 + 3 + 5 = 16 units.

Question 6.
Vanessa uses a ruler to draw a square. The perimeter of the square is 12 centimeters. Select a number to complete the sentence.

The square has a side length of centimeters.
_________ centimeters

Answer:
3 centimeters

Explanation:
Perimeter = s + s + s + s = 12 centimeters.
4s = 12 centimeters.
s = 3 centimeters.

Review/Test – Page No. 689

Question 7.
Tomas drew two rectangles on grid paper.
Circle the words that make the sentence true.

Rectangle A has an area that is the area of Rectangle B, and a perimeter that is the perimeter of Rectangle B.
Type below:
_____________

Answer:
Rectangle A has an area that is the same as the area of Rectangle B.
A perimeter that is less than the perimeter of Rectangle B.

Explanation:

A: Area = 3 x 4 = 12 units.
Perimeter = 3 + 4 + 3 + 4 = 14 units.
B: Area = 2 x 6 = 12 units.
Perimeter = 2 + 6 + 2 + 6 = 16 units.

Question 8.
Yuji drew this figure on grid paper. What is the perimeter of the figure?

________ units

Answer:
18 units

Explanation:

Question 9.
What is the area of the figure shown? Each unit square is 1 square meter.

________ square meters

Answer:
13 square meters

Explanation:

Review/Test – Page No. 690

Question 10.
Shawn drew a rectangle that was 2 units wide and 6 units long. Draw a different rectangle that has the same perimeter but a different area.

Type below:
_____________

Answer:

Area = 2 x 6 = 12 Square Units.
Area = 4 x 4 = 16 Square Units.

Question 11.
Mrs. Rios put a wallpaper border around the room shown below. She used 72 feet of wallpaper border. What is the unknown side length? Show your work.

a = ________ ft

Answer:
16 feet

Explanation:
20 + a + 6 + 8 + 14 + 8 = 72 feet.
a + 56 = 72 feet.
a = 72 – 56 feet.
a = 16 feet.

Question 12.
Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. The area of the second garden is twice the area of the first garden. For numbers 12a–12d, select True or False.

First garden = 8 x 6 = 48 feet.
Second garden length = Half the length of the first garden = 4 feet.
Second Garden Area = Twice the area of the first garden = 2 x 48 = 96.
Second Garden Area Width = 4 x s = 96.
s = 96/4 = 24

a. The area of the first garden is 48 square feet.
i. True
ii. False

Answer:
i. True

Question 12.
b. The area of the second garden is 24 square feet.
i. True
ii. False

Answer:
ii. False

Question 12.
c. The width of the second garden is 12 feet.
i. True
ii. False

Answer:
ii. False

Explanation:

Question 12.
d. The width of the second garden is 24 feet.
i. True
ii. False

Answer:
i. True

Review/Test – Page No. 691

Question 13.
Marcus bought some postcards. Each postcard had a perimeter of 16 inches. Which could be one of the postcards Marcus bought? Mark all that apply.
Options:
a.
b.
c.
d.

Answer:
a and d options are correct.

Explanation:
3 + 5 + 3 + 5 = 16 inches
4 + 6 + 4 + 6 = 20 inches.
5 + 10 + 5 + 10 = 30 inches.
4 + 4 + 4 + 4 = 16 inches.

Question 14.
Anthony wants to make two different rectangular flowerbeds, each with an area of 24 square feet. He will build a wooden frame around each flowerbed. The flowerbeds will have side lengths that are whole numbers.
Part A
Each unit square on the grid below is 1 square foot. Draw two possible flowerbeds. Label each with a letter.

Type below:
__________

Answer:

Question 14.
Part B
Which of the flowerbeds will take more wood to the frame?
Explain how you know.
Type below:
__________

Answer:
A Perimeter is greater than B Perimeter.

Explanation:
Area = 24.
3 x 8 = 24; 4 x 6 = 24.
A Perimeter = 8 + 3 + 8 + 3 = 22 feet.
B Perimeter = 4 + 6 + 4 + 6 = 20 feet.
A Perimeter is greater than B Perimeter.

Review/Test – Page No. 692

Question 15.
Keisha draws a sketch of her living room on grid paper. Each unit square is 1 square meter. Write and solve a multiplication equation that can be used to find the area of the living room in square meters.

Type below:
__________

Answer:
40 meter.

Explanation:

4 x 10 = 40 m.

Question 16.
Mr. Wicks designs houses. He uses grid paper to plan a new house design. The kitchen will have an area between 70 square feet and 85 square feet. The pantry will have an area between 4 square feet and 15 square feet. Draw and label a diagram to show what Mr. Wicks could design. Explain how to find the total area.

Type below:
__________

Answer:
78 square feet

Explanation:
Are of Kitchen = 8 x 9 = 72 square feet. (70 < 72 < 85)
Area of Pantry = 3 x 2 = 6 square feet. (4 < 6 < 15)
Total area of kitchen and pantry = 72 + 6 = 78 square feet.

Conclusion

Go Math Grade 3 Answer Key Chapter 11 Perimeter and Area is given with answers and explanations. Move with every step of solving the process to solve your problems easily. Also, you will be the topper with excessive skills if you follow Go Math Grade 3 Chapter 11 Perimeter and Area Answer Key. All chapters with explanations are available at go math answer key. Practice Go Math Grade 3 Answer Key Chapter 11 Perimeter and Area Extra Practice to grab more knowledge.

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Two-Dimensional Shapes Go Math Grade 3 Chapter 12 Answer Key Pdf

The practice is the only way to get knowledge. So, solving simple tricks and techniques will lead the students to get high grades. Go Math Grade 3 Answer Key Chapter 12 is a one-stop solution for learning problem-solving skills. Easy learning and fast solving will comes at the same place by using Go Math Grade 3 Answer Key Chapter 12 Two-Dimensional Shapes.

Lesson 1: Describe Plane Shapes

• Describe Plane Shapes – Page No. 701
• Describe Plane Shapes Lesson Check – Page No. 702

Lesson 2: Describe Angles in Plane Shapes

• Describe Angles in Plane Shapes – Page No. 707
• Describe Angles in Plane Shapes Lesson Check – Page No. 708

Lesson 3: Identify Polygons

• Identify Polygons – Page No. 713
• Identify Polygons Lesson Check – Page No. 714

Chapter: Unlock the Problem – Page No. 715

• Unlock the Problem – Page No. 715

Lesson 4: Describe Sides of Polygons

• Describe Sides of Polygons – Page No. 719
• Describe Sides of Polygons Lesson Check – Page No. 720

Mid -Chapter Checkpoint

• Mid -Chapter Checkpoint – Page No. 721
• Mid -Chapter Checkpoint Lesson Check – Page No. 722

Lesson 5: Classify Quadrilaterals

• Classify Quadrilaterals – Page No. 727
• Classify Quadrilaterals Lesson Check – Page No. 728

Lesson 6: Draw Quadrilaterals

• Draw Quadrilaterals – Page No. 733
• Draw Quadrilaterals Lesson Check – Page No. 734

Lesson 7: Describe Triangles

• Describe Triangles – Page No. 739
• Describe Triangles Lesson Check – Page No. 740

Lesson 8: Problem Solving Classify Plane Shapes

• Problem Solving Classify Plane Shapes – Page No. 745
• Problem Solving Classify Plane Shapes Lesson Check – Page No. 746

Lesson 9: Relate Shapes, Fractions, and Area

• Relate Shapes, Fractions, and Area – Page No. 751
• Relate Shapes, Fractions, and Area  Lesson Check – Page No. 752

Review/Test

• Review/Test – Page No. 753
• Review/Test – Page No. 754
• Review/Test – Page No. 755
• Review/Test – Page No. 756
• Review/Test – Page No. 757
• Review/Test – Page No. 758

Describe Plane Shapes – Page No. 701

Write how many line segments the shape has.

Question 1.

4 line segments

Answer:
4 line segments

Explanation:

Question 2.

________ line segments

Answer:
6 line segments

Explanation:

Describe Sides of Polygons Question 3.

________ line segments

Answer:
8 line segments

Explanation:

Question 4.

________ line segments

Answer:
5 line segments

Explanation:

Write whether the shape is open or closed.

Question 5.

________

Answer:
Open

Explanation:
The given shape does not start and ends at the same point. So, the shape is open.

Question 6.

________

Answer:
Closed

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

Problem Solving

Question 7.
Carl wants to show a closed shape in his drawing. Show and explain how to make the drawing a closed shape.

Type below:
___________

Answer:

Add a fourth line segment, so the shape starts and ends at the same point.

Explanation:
Add a fourth line segment, so the shape starts and ends at the same point.

Question 8.
The shape of a fish pond at a park is shown below. Is the shape open or closed?

________

Answer:
Closed

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

Describe Plane Shapes – Page No. 702

Lesson Check

Question 1.
How many line segments does this shape have?

Options:
a. 2
b. 3
c. 4
d. 5

Answer:
d. 5

Explanation:

Question 2.
Which of these is part of a line, has one endpoint, and continues in one direction?
Options:
a. ray
b. line
c. line segment
d. point

Answer:
a. ray

Explanation:
The line has one endpoint and continues in one direction is called a ray.

Spiral Review

Question 3.
What multiplication sentence does the array show?

Options:
a. 3 × 8 = 24
b. 4 × 8 = 32
c. 8 × 5 = 40
d. 4 × 9 = 36

Answer:
b. 4 × 8 = 32

Explanation:
There are 4 rows and 8 columns available. 4 x 8 = 32 is the answer.

Question 4.
What is the unknown factor and quotient?
9 × ■ = 27
27 ÷ 9 = ■
Options:
a. 3
b. 4
c. 5
d. 6

Answer:
a. 3

Explanation:
9 x 3 = 27.
27 ÷ 9 = 3.
The answer is 3.

Question 5.
Which fraction is equivalent to \(\frac{4}{8}\)?

Options:
a. \(\frac{3}{4}\)
b. \(\frac{1}{2}\)
c. \(\frac{1}{4}\)
d. \(\frac{1}{8}\)

Answer:
b. \(\frac{1}{2}\)

Explanation:
\(\frac{4}{8}\) = b. \(\frac{1}{2}\).

Question 6.
Mr. MacTavish has 30 students from his class going on a field trip to the zoo. He is placing 6 students in each group. How many groups of students from Mr. MacTavish’s class will be going to the zoo?
Options:
a. 5
b. 6
c. 7
d. 36

Answer:
a. 5

Explanation:
1 group = 6 students.
6 x number of groups = 30 students.
6 x s = 30.
s = 30 ÷ 6
s = 5.
5 groups of students from Mr. MacTavish’s class will be going to the zoo.

Describe Angles in Plane Shapes – Page No. 707

Use the corner of a sheet of paper to tell whether the angle is a right angle, less than a right angle, or greater than a right angle.

Question 1.

less than a right angle

Answer:
less than a right angle

Question 2.

________

Answer:
Right Angle:

Question 3.

________

Answer:
Greater than a right angle

Write how many of each type of angle the shape has.

Question 4.

________ right
________ less than a right
________ greater than a right

Answer:
4 right
0 less than a right
0 greater than a right

Explanation:

4 right Angles.
0 less than right angles.
0 greater than right angles.

Describe Angles in Plane Shapes Question 5.

________ right
________ less than a right
________ greater than a right

Answer:
0 right
0 less than a right
5 greater than a right

Explanation:

0 right Angles
0 less than right angles
5 greater than right angles

Question 6.

________ right
________ less than a right
________ greater than a right

Answer:
2 right
0 less than a right
4 greater than a right

Explanation:

2 right angles.
0 less than right angles
4 greater than right angles.

Problem Solving

Question 7.
Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?
________ sides
________ angle

Answer:
The new shape has 6 sides and 6 angles

Explanation:

The new shape has 6 sides and 6 angles

Question 8.
Kaylee tells Aimee that the shape of a stop sign has at least one right angle. Aimee says that there are no right angles. Who is correct? Explain.

________

Answer:
Aimee’s answer is correct

Explanation:

All the angles are greater than a right angle. Aimee’s answer is correct.

Describe Angles in Plane Shapes – Page No. 708

Lesson Check

Question 1.
What describes this angle?

Options:
a. right angle
b. less than a right angle
c. greater than a right angle
d. small angle

Answer:
c. greater than a right angle

Explanation:
The given shape has a greater angle than the right angle. So, the answer is greater than a right angle.

Go Math Florida Grade 3 Chapter 12 Answer Key Question 2.
How many right angles does this shape have?

Options:
a. 1
b. 2
c. 3
d. 4

Answer:
c. 3

Explanation:

Spiral Review

Question 3.
What fraction of the group is shaded?

Options:
a. \(\frac{5}{6}\)
b. \(\frac{1}{3}\)
c. \(\frac{1}{6}\)
d. \(\frac{1}{8}\)

Answer:
c. \(\frac{1}{6}\)

Explanation:
There are 6 circles. And one circle is shaded out of 6 circles. So, answer is \(\frac{1}{6}\).

Question 4.
Compare.
\(\frac{4}{8}\) _____ \(\frac{3}{8}\)
Options:
a. >
b. <
c. =
d. ÷

Answer:
a. >

Explanation:
Given fractions have the same denominators. So, compare numerators to get the answer.
4 > 3. The answer is \(\frac{4}{8}\) > \(\frac{3}{8}\).

Question 5.
Which of the following does NOT describe a line segment?
Options:
a. does not end
b. is straight
c. is part of a line
d. has 2 endpoints

Answer:
a. does not end

Explanation:
The line segment is a straight line that has two end points. a. does not end not describes a line segment.

Question 6.
How many line segments does this shape have?

Options:
a. 5
b. 6
c. 7
d. 8

Answer:
c. 7

Explanation:

Identify Polygons – Page No. 713

Is the shape a polygon? Write yes or no.

Question 1.

no

Answer:
No

Explanation:
No, The given image doesn’t have line segments.

Question 2.

_____

Answer:
Yes

Explanation:
Yes, A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.

_____

Answer:
No

Explanation:
No, the given shape is an open shape. It is not a polygon.

Go Math Grade 3 Relate Shapes Fractions and Area Question 4.

_____

Answer:
No

Explanation:
No, it has a curved path. So, the given shape is not a polygon.

Write the number of sides and the number of angles. Then name the polygon.

Question 5.

_______ sides
_______ angles
_______

Answer:
6 sides; 6 angles; hexagon

Explanation:

Question 6.

_______ sides
_______ angles
_______

Answer:
4 sides; 4 angles; quadrilateral

Explanation:

Problem Solving

Question 7.
Mr. Murphy has an old coin that has ten sides. If its shape is a polygon, how many angles does the old coin have?
_______ angles

Answer:
10 angles

Explanation:
Given that the shape has ten sides. So, the old coin will have 10 angles.

Question 8.
Lin says that an octagon has six sides. Chris says that it has eight sides. Whose statement is correct?
_______ statement

Answer:
Chris’s statement is correct.

Explanation:
Chris’s statement is correct. An octagon has eight sides.

Identify Polygons – Page No. 714

Lesson Check

Question 1.
Which is a name for this polygon?

Options:
a. hexagon
b. octagon
c. quadrilateral
d. pentagon

Answer:
c. quadrilateral

Explanation:

It has 4 sides and 4 angles. The name of the polygon is quadrilateral.

Question 2.
How many sides does this polygon have?

Options:
a. 4
b. 5
c. 6
d. 7

Answer:
c. 6

Explanation:

Spiral Review

Go Math Chapter 12 Grade 3 Answer Key Question 3.
How many right angles does this shape have?

Options:
a. 4
b. 3
c. 2
d. 0

Answer:
a. 4

Explanation:

Question 4.
Erica has 8 necklaces. One fourth of the necklaces are blue. How many necklaces are blue?
Options:
a. 2
b. 3
c. 4
d. 8

Answer:
a. 2

Explanation:
Erica has 8 necklaces. One-fourth of the necklaces are blue. So, 2 necklaces are blue.

Question 5.
Which of these is straight, is part of a line, and has 2 endpoints?
Options:
a. line
b. line segment
c. point
d. ray

Answer:
b. line segment

Question 6.
What describes this angle?

Options:
a. greater than a right angle
b. large angle
c. less than a right angle
d. right angle

Answer:
c. less than a right angle

Unlock the Problem – Page No. 715

Question 1.
Look at the polygon. How many pairs of sides are parallel?

________ pair(s)

Answer:
1 pair of sides are parallel

Question 2.
How do you know the shape is a polygon?
Type below:
___________

Answer:
A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

Question 3.
Lines that cross or meet are intersecting lines. Intersecting lines form angles.

Answer:
Either less than the right angle or more than the right angle.

Question 4.

The orange and blue line segments meet and form an angle. So, they are __________________
___________

Answer:
Intersecting lines

Question 5.
Intersecting lines that cross or meet to form right angles are perpendicular lines.

Answer:
90 degrees

Go Math Grade 3 Chapter 12 Answer Key Pdf Question 6.

The red and blue line segments meet to form a right angle. So, they are ________________
___________

Answer:
Perpendicular lines

Question 7.
Lines that never cross or meet and are always the same distance apart are parallel lines. They do not form any angles.

So, the polygon above has _ pair of parallel sides
_________ pair(s)

Answer:
The polygon has 1 pair of parallel sides

Question 8.

The green and blue line segments would never cross or meet. They are always the same distance apart. So, they appear to be _________________
_________

Answer:
Parallel lines

Describe Sides of Polygons – Page No. 719

Look at the dashed sides of the polygon. Tell if they appear to be intersecting, perpendicular, or parallel. Write all the words that describe the sides.

Question 1.

parallel

Answer:
parallel lines

Explanation:
The dashed sides are not intersecting with each other. So, the given lines are parallel lines.

Question 2.

_______
_______

Answer:
perpendicular lines

Explanation:
The dashed sides meet to form a right angle. So, they are perpendicular lines.

Question 3.

_______

Answer:
intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 4.

_______

Answer:
intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Question 5.

_______
_______

Answer:
perpendicular lines

Explanation:
The dashed line segments meet to form a right angle. So, they are perpendicular lines.

Question 6.

_______

Answer:
parallel lines

Explanation:
The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 7.

_______

Answer:
parallel lines

Explanation:
The dashed line segments would never cross or meet. They are always the same distance apart. So, they are parallel lines.

Question 8.

_______

Answer:
intersecting lines

Explanation:
The dashed line segments meet and form an angle. So, they are intersecting lines.

Place Two Dimensional Shapes on the Page Question 9.

_______
_______

Answer:
perpendicular lines

Explanation:
The dashed line segments meet to form a right angle. So, they are perpendicular lines.

Problem Solving

Use shapes A–D for 10–11.

Question 10.
Which shapes appear to have parallel sides?
_______ ; _______ ; _______

Answer:
A, C, D

Explanation:
A, C, D have lines that appear to never meet and are always the same distance apart. So, they have parallel lines.

Question 11.
Which shapes appear to have perpendicular sides?
_______ ; _______

Answer:
B, C

Explanation:
B, C have lines that meet to form right angles. So, they have perpendicular sides.

Describe Sides of Polygons – Page No. 720

Lesson Check

Question 1.
How many pairs of parallel sides does the quadrilateral appear to have?

Options:
a. 1
b. 2
c. 3
d. 4

Answer:
b. 2

Explanation:

Side a and a are one pair of parallel lines.
Side b and b are one pair of parallel lines.
The quadrilateral has 2 pairs of parallel sides.

Question 2.
Which sides appear to be parallel?

Options:
a. a and c only
b. b and d only
c. a and b, c and d
d. a and c, b and d

Answer:
d. a and c, b and d

Explanation:
a and c are parallel lines. They appear to never meet and are always the same distance apart. They do not form any angles.
Similarly, b and d are parallel lines.

Spiral Review

Question 3.
Mr. Lance designed a class banner shaped like the polygon shown. What is the name of the polygon?

Options:
a. pentagon
b. octagon
c. hexagon
d. decagon

Answer:
a. pentagon

Explanation:

The polygon has 5 sides and 5 angles. So, the given polygon is a pentagon.

Question 4.
How many angles greater than a right angle does this shape have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
b. 1

Explanation:

One angle is greater than the right angles.

Question 5.
How many line segments does this shape have?

Options:
a. 6
b. 7
c. 8
d. 9

Answer:
c. 8

Explanation:

The given shape has 8 line segments.

3rd Grade Math Assessment 12.4 Practice A Geometry Answers Question 6.
Which fraction names the shaded part?

Options:
a. \(\frac{1}{3}\)
b. \(\frac{1}{4}\)
c. \(\frac{1}{6}\)
d. \(\frac{5}{6}\)

Answer:
c. \(\frac{1}{6}\)

Explanation:
The given image has 6 parts. 1 part is shaded out of 1 part. The answer is \(\frac{1}{6}\)

Mid -Chapter Checkpoint – Page No. 721

Vocabulary

Choose the best term from the box to complete the sentence.

Question 1.
An __________ is formed by two rays that share an endpoint.
__________

Answer:
Angle

Explanation:

Question 2.
A _____________ is a closed plane shape made up of line segments.
________

Answer:
Polygon

Question 3.
A ____________ forms a square corner.
________

Answer:
Right Angle

Concepts and Skills

Use the corner of a sheet of paper to tell whether the angle is a
right angle, less than a right angle, or greater than a right angle.

Question 4.

________

Answer:
less than a right angle

Question 5.

________

Answer:
right angle

Question 6.

________

Answer:
greater than a right angle

Write the number of sides and the number of angles.
Then name the polygon.

Question 7.

________ sides
________ angles
________

Answer:
6 sides; 6 angles

Explanation:

6 sides; 6 angles

Question 8.

________ sides
________ angles
________

Answer:
4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 9.

________ sides
________ angles
________

Answer:
5 sides; 5 angles

Explanation:

5 sides; 5 angles

Mid -Chapter Checkpoint – Page No. 722

Question 10.
Anne drew the shape at the right. Is her shape an open shape or a closed shape?

________

Answer:
Closed Shape

Explanation:
The given shape started and ends at the same point. So, the shape is closed.

Question 11.
This sign tells drivers there is a steep hill ahead. Write the number of sides and the number of angles in the shape of the sign. Then name the shape.

________ sides
________ angles
________

Answer:
4 sides; 4 angles

Explanation:

4 sides; 4 angles

Question 12.
Why is this closed plane shape NOT a polygon?

Type below:
________

Answer:
2 × 5 = 10

Explanation:
The given shape started and ends at the same point. So, the shape is closed. A polygon is made up of line segments that meet only at their endpoints. So, the given shape is not a polygon.

Question 13.
Sean drew a shape with 2 fewer sides than an octagon. Which shape did he draw?
________

Answer:
pentagon

Explanation:
octagon has 8 sides.
2 + 8 = 10 sides

Question 14.
John drew a polygon with two line segments that meet to form a right angle. Circle the words that describe the line segments.

Type below:
________

Answer:
perpendicular

Classify Quadrilaterals – Page No. 727

Click all the words that describe the quadrilateral.

Question 1.

Answer:
Square; Rectangle; Rhombus

Question 2.

Options:
a. square
b. rectangle
c. rhombus
d. trapezoid

Answer:
b. rectangle

Explanation:
The given shape has two pairs opposite with the same length. Also, all the angles are right angles. The given shape is a rectangle.

Question 3.

Options:
a. square
b. rectangle
c. rhombus
d. trapezoid

Answer:
d. trapezoid

Explanation:
Even though the given shape has four sides, they are not equal. Also, it has only two right angles. The given shape is a trapezoid.

Use the quadrilaterals below for 4–6.

Question 4.
Which quadrilaterals appear to have no right angles?
______ ; ______ ; ______

Answer:
B, D, and E

Explanation:
B, D, E don’t have right angles.

Question 5.
Which quadrilaterals appear to have 4 right angles?
______ ; ______

Answer:
A and C

Explanation:
A and C both shapes have right angles.

Question 6.
Which quadrilaterals appear to have 4 sides of equal length?
______ ; ______ ; ______

Answer:
B, C, and D

Explanation:
The B, C, and D have all the equal lengths.

Problem Solving

Question 7.
A picture on the wall in Jeremy’s classroom has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel. What quadrilateral best describes the picture?
_______

Answer:
Square

Explanation:
A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 8.
Sofia has a plate that has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles. What quadrilateral best describes the plate?
_________

Answer:
rhombus

Explanation:
A rhombus has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles.

Classify Quadrilaterals – Page No. 728

Lesson Check

Question 1.
Which word describes the quadrilateral?

Options:
a. square
b. trapezoid
c. rhombus
d. rectangle

Answer:
b. trapezoid

Explanation:
The given quadrilateral doesn’t have right angles. So, it is not a square and a rectangle. Also, the quadrilateral doesn’t have equal sides. So, it is not a rhombus.

Question 2.
Which quadrilaterals appear to have 2 pairs of opposite sides that are parallel?

Options:
a. A and B
b. A, B, and C
c. A only
d. B only

Answer:
a. A and B

Explanation:
The A and B shapes have 2 pairs of opposite sides that are parallel.

Spiral Review

Question 3.
Aiden drew the polygon shown. What is the name of the polygon he drew?

Options:
a. decagon
b. hexagon
c. octagon
d. pentagon

Answer:
a. decagon

Explanation:

10 sides; 10 angles

Question 4.
How many pairs of parallel sides does this shape appear to have?

Options:
a. 4
b. 2
c. 1
d. 0

Answer:
b. 2

Explanation:

Side a and a are one pair of parallel lines.
Side b and b are one pair of parallel lines.
The quadrilateral has 2 pairs of parallel sides.

Question 5.
What word describes the dashed sides of the shape shown?

Options:
a. intersecting
b. parallel
c. perpendicular
d. right

Answer:
b. parallel

Explanation:
The dashed sides of the shape would never cross or meet. They are always the same distance apart. So, they appear to be parallel lines.

Question 6.
How many right angles does this shape have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
a. 0

Explanation:
There are no right angles available for the given shape.

Draw Quadrilaterals – Page No. 733

Draw a quadrilateral that is described.
Name the quadrilateral you drew.

Question 1.
4 sides of equal length

Answer:
square

Explanation:
A square has four equal sides and four equal angles

Question 2.
1 pair of opposite sides that are parallel

_________

Answer:
trapezoid

Explanation:

trapezoid

Draw a quadrilateral that does not belong.
Then explain why.

Go Math Grade 3 Practice Book Answer Key Pdf Question 3.

Answer:

Explanation:
The shape is a trapezoid. It has only 1 pair of opposite sides that are parallel. The 3 quadrilaterals shown have 2 pairs of sides that are parallel.

Problem Solving

Question 4.
Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides that are parallel. Name the quadrilateral she could have drawn.
_________

Answer:
square or rectangle

Explanation:
The square or rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 5.
Victor drew a quadrilateral with no right angles and 4 sides of equal length. What quadrilateral could Victor have drawn?
_________

Answer:
rhombus.

Explanation:
A rhombus has no right angles and 4 sides of equal length.

Draw Quadrilaterals – Page No. 734

Lesson Check

Question 1.
Chloe drew a quadrilateral with 2 pairs of opposite sides that are parallel. Which shape could NOT be Chloe’s quadrilateral?
Options:
a. rectangle
b. rhombus
c. square
d. trapezoid

Answer:
d. trapezoid

Explanation:
A trapezoid will have only one pair of parallel lines.

Question 2.
Mike drew a quadrilateral with four right angles. Which shape could he have drawn?
Options:
a. rectangle
b. hexagon
c. trapezoid
d. triangle

Answer:
a. rectangle

Explanation:
A rectangle will have four right angles.

Spiral Review

Question 3.
A quadrilateral has 4 right angles and 4 sides of equal length. What is the name of the quadrilateral?
Options:
a. pentagon
b. square
c. trapezoid
d. hexagon

Answer:
b. square

Explanation:
A square has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel.

Question 4.
Mark drew two lines that form a right angle. Which word describes the lines Mark drew?
Options:
a. perpendicular
b. parallel
c. acute
d. obtuse

Answer:
a. perpendicular

Explanation:
Intersecting lines that cross or meet to form right angles are perpendicular lines.

Question 5.
Dennis drew the rectangle on grid paper. What is the perimeter of the rectangle Dennis drew?

Options:
a. 7 units
b. 12 units
c. 14 units
d. 15 units

Answer:
b. 12 units

Explanation:

3 + 3 + 3 + 3 = 12 units.

Question 6.
Jill drew the rectangle on grid paper. What is the area of the rectangle Jill drew?

Options:
a. 12 square units
b. 15 square units
c. 16 square units
d. 18 square units

Answer:
b. 15 square units

Explanation:

5 x 3 = 15 square units.

Describe Triangles – Page No. 739

Use the triangles for 1–3. Write A, B, or C.
Then complete the sentences.

Question 1.
Triangle B has 3 angles less than a right angle and
appears to have 3 sides of equal length.

Answer:
B

Question 2.
Triangle _________ has 1 right angle and appears to have
_________ sides of equal length.

Answer:
Triangle C has 1 right angle and appears to have 0 sides of equal length.

Question 3.
Triangle _________ has 1 angle greater than a right angle and appears to have
_________ sides of equal length.

Answer:
Triangle A has 1 angle greater than a right angle and appears to have 2 sides of equal length.

Question 4.
Kyle, Kathy, and Kelly each drew a triangle. Who drew the triangle that has 1 angle greater than a right angle and appears to have no sides of equal length?

_________

Answer:
Kathy

Explanation:
Kathy triangle has 1 angle greater than a right angle and has no sides of equal length.

Problem Solving

Question 5.
Matthew drew the back of his tent. How many sides appear to be of equal length?

_________ sides

Answer:
2 sides

Explanation:

a and b are 2 sides have equal lengths.

Question 6.
Sierra made the triangular picture frame shown. How many angles are greater than a right angle?

_________

Answer:
0

Explanation:

0 angles are greater than a right angle.

Describe Triangles – Page No. 740

Lesson Check

Question 1.
How many angles less than a right angle does this triangle have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
d. 3

Explanation:

3 angles less than a right angle.

Question 2.
How many sides of equal length does this triangle appear to have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
c. 2

Explanation:
The two lines forming the right angle are equal in length.

Spiral Review

Question 3.
A quadrilateral has 4 right angles and 2 pairs of opposite sides that are parallel. Which quadrilateral could it be?
Options:
a. trapezoid
b. hexagon
c. triangle
d. rectangle

Answer:
d. rectangle

Explanation:
A rectangle has 4 right angles and 2 pairs of opposite sides that are parallel.

Question 4.
Mason drew a quadrilateral with only one pair of opposite sides that are parallel. Which quadrilateral did Mason draw?
Options:
a. square
b. rhombus
c. trapezoid
d. rectangle

Answer:
c. trapezoid

Explanation:
A trapezoid will have only one pair of opposite sides that are parallel.

Question 5.
Which shape has an area of 8 square units and a perimeter of 12 units?
Options:
a.
b.
c.
d.

Answer:
a

Explanation:
a. Area = 2 x 4 = 8 square units; Perimeter = 2 + 4 + 2 + 4 = 12 units.

Question 6.
What fraction of the square is shaded?

Options:
a. \(\frac{3}{5}\)
b. \(\frac{5}{3}\)
c. \(\frac{3}{8}\)
d. \(\frac{8}{5}\)

Answer:
c. \(\frac{3}{8}\)

Explanation:
The image has 8 parts. 3 parts are shaded out of 8 parts. So, \(\frac{3}{8}\) is the answer.

Problem Solving Classify Plane Shapes – Page No. 745

Solve each problem.

Question 1.
Steve drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

Question 2.
Janice drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

3rd Grade Math Assessment Lesson 12.7 Answer Key Question 3.
Beth drew the shapes below. Write the letter of each shape where it belongs in the Venn diagram.

Answer:

Problem Solving Classify Plane Shapes – Page No. 746

Lesson Check

Question 1.
Which shape would go in the section where the two circles overlap?
Options:
a. triangle
b. trapezoid
c. square
d. hexagon

Answer:
c. square

Explanation:
A square is a rectangle with equal lengths of all sides.

Question 2.
Which shape could NOT go in the circle labeled All Sides of Equal Length?
Options:
a. rhombus
b. trapezoid
c. square
d. triangle

Answer:
b. trapezoid

Explanation:
A trapezoid will not have All Sides of Equal Length.

Spiral Review

Question 3.
How many angles greater than a right angle does this triangle have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
b. 1

Explanation:

1 angle is greater than a right angle.

Question 4.
How many sides of equal length does this triangle appear to have?

Options:
a. 0
b. 1
c. 2
d. 3

Answer:
d. 3

Explanation:
The triangle appears to have 3 sides of equal length.

Question 5.
Madison drew this shape. How many angles less than a right angle does it have?

Options:
a. 0
b. 1
c. 3
d. 5

Answer:
a. 0

Explanation:

0

Question 6.
How many dots are in \(\frac{1}{2}\) of this group?

Options:
a. 6
b. 8
c. 9
d. 18

Answer:
c. 9

Explanation:
9 dots are in \(\frac{1}{2}\) of this group.

Relate Shapes, Fractions, and Area – Page No. 751

Draw lines to divide the shape into equal parts that show the fraction given.

Question 1.

\(\frac{1}{3}\)

Answer:
\(\frac{1}{3}\)

Question 2.

\(\frac{1}{8}\)

Answer:

Question 3.

\(\frac{1}{2}\)

Answer:

Draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction.

Question 4.

4 equal parts
\(\frac{□}{□}\)

Answer:

\(\frac{1}{4}\)

Question 5.

6 equal parts
\(\frac{□}{□}\)

Answer:

\(\frac{1}{6}\)

Question 6.

3 equal parts
\(\frac{□}{□}\)

Answer:

\(\frac{1}{3}\)

Problem Solving

Question 7.
Robert divided a hexagon into 3 equal parts. Show how he might have divided the hexagon. Write the fraction that names each part of the whole you divided.

\(\frac{□}{□}\)

Answer:

\(\frac{1}{3}\)

Question 8.
Show how you might divide the shape into 8 equal parts. What fraction names the area of each part of the divided shape?

\(\frac{□}{□}\)

Answer:

\(\frac{1}{8}\)

Relate Shapes, Fractions, and Area – Page No. 752

Lesson Check

Question 1.
What fraction names each part of the divided whole?

Options:
a. \(\frac{1}{2}\)
b. \(\frac{1}{3}\)
c. \(\frac{1}{4}\)
d. \(\frac{1}{6}\)

Answer:
b. \(\frac{1}{3}\)

Explanation:

The shape has 3 parts. One part is shaded out of 3.

Question 2.
What fraction names the whole area that was divided?

Options:
a. \(\frac{1}{8}\)
b. \(\frac{1}{2}\)
c. \(\frac{8}{8}\)
d. \(\frac{8}{1}\)

Answer:
c. \(\frac{8}{8}\)

Explanation:

8 parts are shaded out of 8 parts. So, \(\frac{8}{8}\) is the answer.

Spiral Review

Question 3.
Lil drew the figure below. Which word does NOT describe the shape?

Options:
a. plane shape
b. closed shape
c. open shape
d. curved path

Answer:
c. open shape

Explanation:
The given shape is started and ended at the same point. So, it is not an open shape.

Question 4.
How many line segments does this shape have?

Options:
a. 6
b. 5
c. 4
d. 3

Answer:
b. 5

Explanation:

5

Use the Venn diagram for 5–6.

Question 5.
Which shape would go in the section where the two circles overlap?
Options:
a. triangle
b. square
c. trapezoid
d. pentagon

Answer:
b. square

Explanation:
A square have right angles and all sides with equal lengths.

Question 6.
Which shape could NOT go in the circle labeled All Sides of Equal Length?
Options:
a. square
b. rhombus
c. triangle
d. rectangle

Answer:
d. rectangle

Explanation:
A rectangle doesn’t have All Sides of Equal Length.

Review/Test – Page No. 753

Question 1.
Which words describe this shape? Mark all that apply.

Options:
a. polygon
b. open shape
c. pentagon
d. quadrilateral

Answer:
a. polygon
c. pentagon

Explanation:

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side. So, the shape is a polygon. Also, the shape has five sides and five angles. So, it is a pentagon.

Question 2.
Umberto drew one side of a quadrilateral with 4 equal sides and no right angles. Draw the other 3 sides to complete Umberto’s shape.

Type below:
____________

Answer:

Question 3.
Mikael saw a painting that included this shape.

For numbers 3a–3d, select True or False for each statement about the shape.
a. The shape has no right angles.
i. True
ii. False

Answer:
ii. False

Question 3.
b. The shape has 2 angles greater than a right angle.
i. True
ii. False

Answer:
ii. False

Question 3.
c. The shape has 2 right angles.
i. True
ii. False

Answer:
i. True

Question 3.
d. The shape has 1 angle greater than a right angle.
i. True
ii. False

Answer:
i. True

Review/Test – Page No. 754

Question 4.
Fran used a Venn Diagram to sort shapes.

Part A
Draw another plane shape that belongs inside the left circle of the diagram but NOT in the section where the circles overlap.
Type below:
____________

Answer:

Question 4.
Part B
How can you describe the shapes in the section where the circles overlap?
Type below:
____________

Answer:
The shapes in the circle overlap are polygons with right angles. Also, those shapes have 4 sides and 4 angles named as quadrilaterals.

Question 5.
Match each object in the left column with its name in the right column.

Type below:
____________

Answer:

Question 6.
Describe the angles and sides of this triangle.

Type below:
____________

Answer:
The triangle has 3 sides of equal length. Also, the triangle has 3 angles with less than a right angle.

Review/Test – Page No. 755

Question 7.
Which words describe this shape. Mark all that apply.

Options:
a. rectangle
b. rhombus
c. quadrilateral
d. square

Answer:
a. rectangle
c. quadrilateral
d. square

Explanation:
The given shape is a square or rectangle with 4 sides and 4 angles.

Question 8.
Divide each shape into the number of equal parts shown. Then write the fraction that describes each part of the whole.

Type below:
____________

Answer:
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{1}{8}\)

Explanation:

\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{1}{8}\)

Question 9.
Han drew a triangle with 1 angle greater than a right angle.
For numbers 9a–9d, choose Yes or No to tell whether the triangle could be the triangle Han drew.
a.
i. yes
ii. no

Answer:
ii. no

Explanation:
It has all the angles less than a right angle.

Question 9.
b.
i. yes
ii. no

Answer:
ii. no

Explanation:
It has one right angle and two angles with less than a right angle.

Question 9.
c.
i. yes
ii. no

Answer:
i. yes

Explanation:
It has one angle greater than a right angle

Question 9.
d.
i. yes
ii. no

Answer:
i. yes

Explanation:
It has one angle greater than a right angle

Review/Test – Page No. 756

Question 10.
Look at this group of pattern blocks.


Part A
Sort the pattern blocks by sides. How many groups did you make? Explain how you sorted the shapes.
Type below:
____________

Answer:
A has 6 sides 6 angles = hexagon.
B has 4 sides 4 angles = quadrilateral
C has 4 sides 4 angles = quadrilateral
D has 3 sides 3 angles = triangle
E has 4 sides 4 angles = quadrilateral
F has 4 sides 4 angles = quadrilateral
1 triangle, 4 quadrilateral, and 1 hexagon blocks available.

Question 10.
Part B
Sort the pattern blocks by angles. How many groups did you make? Explain how you sorted the shapes.
Type below:
____________

Answer:
A and F have greater than a right angle.
B has 4 right angles.
C, D, and E have all the angles less than a right angle.

Question 11.
Teresa drew a quadrilateral that had 4 sides of equal length and no right angles. What quadrilateral did she draw?
____________

Answer:
rhombus

Review/Test – Page No. 757

Question 12.
Rhea used a Venn diagram to sort shapes. What label could she use for circle A?

Type below:
____________

Answer:
Right Angle

Question 13.
Colette drew lines to divide a rectangle into equal parts that each represent \(\frac{1}{6}\) of the whole area. Her first line is shown. Draw lines to complete Colette’s model.

Type below:
____________

Answer:

Question 14.
Brad drew a quadrilateral. Select the pairs of sides that appear to be parallel. Mark all that apply.

Options:
a. a and b
b. b and d
c. c and a
d. d and c

Answer:
b. b and d
c. c and a

Review/Test – Page No. 758

Question 15.
Give two reasons that this shape is not a polygon.

Type below:
____________

Answer:
1. The shape is not a closed shape.
2. The shape has no line segments.

Question 16.
A triangle has 1 angle greater than a right angle. What must be true about the other angles? Mark all that apply.
Options:
a. At least one must be less than a right angle.
b. One could be a right angle.
c. Both must be less than a right angle.
d. One must be greater than a right angle.

Answer:
c. Both must be less than a right angle.

Question 17.
Ava drew a quadrilateral with 2 pairs of opposite sides that are parallel. The shape has at least 2 right angles. Draw a shape that Ava could have drawn.
Type below:
____________

Answer:

Question 18.
For 18a–18d, select True or False for each description of a ray.

a. straight
i. True
ii. False

Answer:
i. True

Question 18.
b. has 2 endpoints
i. True
ii. False

Answer:
ii. False

Question 18.
c. part of a line
i. True
ii. False

Answer:
i. True

Question 18.
d. continues in 1 direction
i. True
ii. False

Answer:
i. True

Conclusion

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