**Go Math Grade 3 Answer Key Chapter 8 **contains all the topics of chapter 8 which helps to test the student’s knowledge. By this assessment test students can check their knowledge. This assessment test are also helpful for the teachers to know how much a student understood the topics.

**Go Math Grade 3 Answer Key Chapter 8 Understand Fractions Assessment Test**

With this chapter, students can improve their math skills by referring to the Go Math Grade 3 Answer Key Chapter 8 Understand Fractions Assessment Test. With the help of this Go Math Grade 3 Assessment Test Answer Key, you can score good marks in the examination.

**Chapter 8: Understand Fractions Assessment Test**

- Test – Page 1 – Page No. 81
- Test – Page 2 – Page No. 82
- Test – Page 3 – Page No. 83
- Test – Page 4 – Page No. 84
- Test – Page 5 – Page No. 85
- Test – Page 6 – Page No. 86

### Test – Page 1 – Page No. 81

Question 1.

Each shape is divided into equal parts. Select the shapes that show fourths. Mark all that apply.

Options:

a.

b.

c.

d.

Answers: a,c,d

Explanation: a,c,d shapes that show fourths. As a,c,d shapes are divided into four parts.

Question 2.

What fraction names the shaded part of the shape?

Options:

a. 3 eighths

b. 5 eighths

c. 6 eighths

d. 8 eighths

Answer: b

Explanation: The given shape is divided into 8 equal parts in which 5 parts are shaded, so fraction name of the shaded part is 5 eights. i.e. 5/8.

Question 3.

The shaded part of the model shows what part of a garden is planted with peas. What fraction names the shaded part? Explain how you know how to write the fraction.

\(\frac{□}{□}\)

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

Explanation: Given a model of the garden shows 6 equal parts in it. Out of which, 1 part is where peas are planted is shaded. Therefore, fraction names of the shaded part is \(\frac{1}{6}\).

### Test – Page 2 – Page No. 82

Question 4.

What fraction names point A on the number line?

\(\frac{□}{□}\)

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

Explanation: Given the number line is divided into 8 parts, A is at 7^{th} position. Therefore, the fraction name of point A on the number line is \(\frac{7}{8}\).

Question 5.

Kwan divided this circle into equal parts. Circle the word that makes the sentence true.

The circle is divided into

_________

Answer: Sixths.

Explanation: Kwan divided the circle into six parts. Therefore the answer is Sixths.

Question 6.

Sophie uses 16 beads to make a necklace. One fourth of the beads are purple. How many of the beads are purple?

_____ beads

Answer: 4

Explanation:

Total no of beads used by Sophie is = 16

a portion of purple beads used = ¼

Therefore total no of purple beads = 16× ¼ = 4 beads.

Question 7.

Four brothers work together to mow 3 equal-sized fields. Each brother mows the same amount.

How much does each brother mow? Mark all that apply.

Options:

a. 4 thirds of a field

b. 1 whole and 1 third of a field

c. 3 fourths of a field

d. 2 thirds of a field

e. 1 fourth of a field

Answer: c

Explanation:

No of persons to work = 4

total no of fields = 3

So dividing 3 equal-sized fields 4 equal parts = ¾

Therefore each person gets ¾ of the field as their share to mow.

### Test – Page 3 – Page No. 83

Question 8.

Bailey shaded this model.

Select one number from each column to show the part of the model Bailey shaded.

Answer: Numerator – 4, Denominator – 6.

Explanation: Given the model shows 6 equal parts in which Bailey shaded 4 parts. Therefore, the fractional part Bailey shaded is 4/6. From the fraction Numerator is 4, Denominator is 6.

Question 9.

Jayson baked a pan of cornbread for a family dinner. He cut the cornbread into equal size pieces. At the end of the dinner, there were 2 pieces left. Explain how you find the number of pieces in the whole pan of cornbread if Jayson told you that 16 of the pan was left. Use a drawing to show your work.

_____ pieces

Answer: 12 pieces

Explanation:

No of bread pieces left after dinner = 2

Considering 1/6 of the pan was left, we draw 6 ovals since the denominator is 6. Since 2 pieces are 1/6 of the pan, we represent them two circles in each oval. Therefore total no of pieces in the whole pan of cornbread are = 6 × 2 = 12.

### Test – Page 4 – Page No. 84

Question 10.

The model shows one whole. What fraction of the model is NOT shaded?

\(\frac{□}{□}\)

Answer: \(\frac{3}{4}\) of the model is not shaded.

Explanation: Given model is a circle that is divided into 4 parts. Out of which 1 part is shaded. Thus \(\frac{3}{4}\) of the model is not shaded.

Question 11.

Michael replaced \(\frac{1}{3}\) of the buttons on his coat. If he replaced a total of 3 buttons, how many buttons are on his coat? Show your work.

______ buttons

Answer: 9 buttons.

Explanation:

Let’s consider the total no of buttons be X

Given that Michael replaced 1/3 of his coat buttons which are 3 in number

which means 1/3 × X = 3

therefore X = 3×3 = 9

So the total no of buttons on his coat are 9.

Question 12.

Four teachers share 3 gallons of paint equally. How much paint does each teacher get?

_____ fourths

Answer: ¾

Explanation:

No of teachers to share paint = 4

the total amount of paint = 3 gallons

So dividing 3 gallons of paint into 4 equal parts = ¾

Therefore each teacher gets ¾ of paint as their share.

Question 13.

Each shape is 1 whole.

For numbers 13a–13e, choose Yes or No to show whether the number names the parts that are shaded.

a. 3

i. yes

ii. no

Answer: No

Explanation: The total 4 models are shaded.

Question 13.

b. 4

i. yes

ii. no

Answer: Yes

Explanation: The 4 models are shaded.

Question 13.

c. \(\frac{12}{3}\)

i. yes

ii. no

Answer: Yes

Explanation: \(\frac{12}{3}\) means 4 parts, which represents 4 shaded parts/model.

Question 13.

d. \(\frac{12}{4}\)

i. yes

ii. no

Answer: No

Explanation: \(\frac{12}{4}\) means 3 parts, which represents 3 shaded parts/model. So answer is no.

Question 13.

e. \(\frac{3}{12}\)

i. yes

ii. no

Answer: No.

Explanation: \(\frac{3}{12}\) means \(\frac{1}{4}\) part is shaded. So answer is no.

### Test – Page 5 – Page No. 85

Question 14.

A store sold 6 fruit trees. Five of the trees were apple trees. What fraction of the trees were apple trees?

\(\frac{□}{□}\)

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

Explanation:

Given that total of 6 trees were sold

no of apple trees are 5

Therefore fraction of apple trees out of total sold trees are = No of apple trees / Total no of trees

= \(\frac{5}{6}\).

Question 15.

Christina and Erin made vegetable trays for a neighborhood picnic.

Part A

Christina put 15 vegetables on her tray. If \(\frac{1}{5}\) of the vegetables were carrots, how many carrots were on the tray? Make a drawing to show your work.

_____ carrots

Answer: 3 carrots.

Explanation:

Total vegetables on Christina tray = 15

part of carrots on the tray = 1/5

Total of carrots = (Total no of vegetables × part of the carrots)

= 15 × 1/5 = 3 carrots.

Question 15.

Part B

Erin put 20 vegetables on her tray. If \(\frac{1}{4}\) of them were carrots, how many carrots were on Christina’s and Erin’s trays? Explain how you found your answer.

_____ carrots

Answer: Total 8 carrots.

Explanation:

No of carrots in Christina’s tray = 3

Total vegetables on Erin’s tray = 20

part of carrots on the tray = 1/4

Total of carrots = (Total no of vegetables × part of the carrots)

= 20 × 1/4

= 5 carrots.

Therefore total no of carrots on both of their trays = 5 + 3 = 8 carrots

Question 16.

Maria has 8 tulip bulbs. She gives 5 of the tulip bulbs to her neighbor. What fraction of her tulip bulbs does she give to her neighbor?

\(\frac{□}{□}\) tulip bulbs

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

Explanation:

Total no of tulip bulbs Maria has = 8

No of tuple bulbs she gave to neighbor = 5

Therefore fraction of tuple bulbs she gave =\(\frac{5}{8}\).

### Test – Page 6 – Page No. 86

Question 17.

Lucy rode her bike around the block 4 times for a total of 1 mile yesterday. Today she wants to ride her bike \(\frac{3}{4}\) of a mile. How many times will she need to ride her bike around the block?

______ times

Answer: 3 times

Explanation:

No of times Lucy rode to complete 1 mile = 4

So in one time, she completes ¼ mile

Therefore to complete ¾ mile, she has to complete = ¼ + ¼ + ¼, which is 3 times

Question 18.

Jackson colored some shapes.

Select one number from each column to show a fraction greater than 1 that names the parts Jackson colored.

Answer: Numerator – 6, Denominator – 2

Explanation: As there are 6 halves that are shaded and the fraction greater than 1 is \(\frac{6}{2}\).

Question 19.

Samira ran around a park loop that was \(\frac{1}{3}\) mile long. She ran around the loop 9 times. Samira says she ran \(\frac{9}{3}\) miles. Her brother Amal says she ran 3 miles. Who is correct? Use words and drawings to explain how you know.

_________

Answer: Both are correct.

Explanation:

The distance of the loop is = \(\frac{1}{3}\) mile

Samira ran around nine times = 9 × \(\frac{1}{3}\)

=\(\frac{9}{3}\)

= 3miles

So both are correct.

Each circle represents a park where each shaded part we considered as 1/3 mile. Each circle can be completed in 3 rounds, therefore running nine times covers all the three circles = 9 ×\(\frac{1}{3}\)

= \(\frac{9}{3}\).

= 3miles.

Conclusion:

In this Grade 3 Chapter 8 assessment test students can test their knowledge and can know their performing skills. Every question was explained in a brief way that students can catch the logic easily.