Go Math Answer Key

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 24.3 Double-Line Graphs will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 24.3 Double-Line Graphs

Exercises

INTERPRET

Question 1.
What can you say about the supply and demand of chocolates from the double-line graph?

Answer:
Supply and demand affect the price of all goods sold, even chocolate.
The quantity of chocolates is 4 and price is $6.80

Question 2.
What conclusion can you draw from the double-line graph about grades and how much television is watched?

Answer:
From the above double line graph, we can say that about 95 grades and about 7 hours of TV are watched per day.

Question 3.
What conclusion can you draw about the temperatures in Hawaii and Wisconsin by looking at the double-line graph?

Answer:
The average daily temperature in Hawaii from Jan to Dec is about 80 degrees.
The average daily temperature in Hawaii is about Jan to Dec is about 30 degrees.

Question 4.
The graph displays the volume (number) of calls for Europe and the United States. What can you conclude about the volume of calls between January to December?

Answer:
From the above graph you conclude about the volume of calls for United States between January to December was 2000 to 3500.
From the above graph you conclude about the volume of calls for Europe between January to December is 600 to 700.

Question 5.
The double-line graph shows the amount of time that a single family house and a condominium stay on the market before they are sold. What conclusion can you make about the relationship?

Answer:
From the above graph, we can see Monthly number of days on market is high on June 07 for Condo and low for single family.

Question 6.
What can you determine about the sales figures for Harry and Kate?

Answer:
The sales figure for Harry is high and the sales figures for Kate are low from June to September.

Question 7.
What can you conclude from the double-line graph about Lisa’s Book Collection between January and May?

Answer:
The number of books in Lisa’s Book Collection has been in increased between January and May.

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 24.2 Line Graphs will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 24.2 Line Graphs

Exercises

INTERPRET

Question 1.
Between what two years did the number of dolphin sightings increase the most?

Answer:
From the above line graph, we can say that in between 2000 to 2001 the number of dolphin sightings increase the most.

Question 2.
What number of students could locate materials in 20 minutes?

Answer:
From the above line graph, we can say that 50 students were able to locate suitable material.

Question 3.
Looking at the line graph below, what two days would you try to avoid going to the Registration office?

Answer:
By Looking at the line graph shown above we have to avoid Monday and Friday to avoid going to the Registration office.

Question 4.
Between which two days did the number of correct facts increase the most?

Answer:
By Looking at the line graph shown above, we can say that on Day 3 and 4 the number of correct facts increases the most.

Question 5.
What are the two most popular days for consuming potatoes, according to the line graph?
How many kilos of potatoes are consumed on those two days?

Answer:
According to the line graph, Wednesday and Sunday are the popular days for consuming potatoes.
30 + 35 = 65
65 kilos of potatoes are consumed on those two days.

Question 6.
From the line graph below, describe the levels of ozone between January and March.

Answer:
The levels of ozone between January and March is 0.08

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 24.1 Bar Graphs will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 24.1 Bar Graphs

Exercises

INTERPRET

Question 1.
Use the graph below to identify the second most-liked fruit.

Answer:
Favorite fruits as grapes = 9
Favorite fruits as apples = 7
Favorite fruits as peaches = 3
Favorite fruits as bananas = 5
So, the second most-liked fruit is apples.

Question 2.
According to this bar graph, what was the least favorite color for students’ favorite juices?

Answer:
Number of students like red juice = 2
Number of students like orange juice = 8
Number of students like yellow juice = 10
Number of students like purple juice = 6
So, the least favorite color for students’ favorite juices is Red.

Question 3.
Ignoring “Other,” what is the least common means for students to get to school according to the bar graph below?

Answer:
Number of students who go to school by school bus = 58
Number of students who go to school by car = 8
Number of students who go to school by walk = 32
Number of students who go to school by cycle = 12
Number of students who go to school by public transit = 18
So, the least common means for students to get to school according to the bar graph is car.

Question 4.
A class survey asked each student his or her birth month. The graph below displays this data. What month had the most student birthdays?

Answer:
As per the bar graph shown above most student birthdays are in May.

Question 5.
Which Canadian province has the third highest Average Annual Income?

Answer:
As per the bar graph shown above the third highest Average Annual Income is Ontario with $50,000.

Question 6.
How many more students prefer jazz music than prefer rock music?

Answer:
As per the bar graph shown above the 7 students prefer jazz music than prefer rock music.
14 – 7 = 7

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 25.4 Tree Diagrams will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 25.4 Tree Diagrams

Exercises

INTERPRET

Question 1.
How many different outcomes are there in the tree diagram?

Answer:
Red – RR, RW, RG
White – WR, WW, WG
Green – GR, GW, GG
So, the different outcomes are 9 in the tree diagram.

Question 2.
Below is a tree diagram of the choices at the picnic you are going to attend. If you do not like hamburgers, how many different meal combinations can you select from?

Answer:
Chicken – Club – apples, ice cream
Chicken – Salad – apples, ice cream
Mushroom – Club – apples, ice cream
Mushroom – Salad – apples, ice cream
There are 4 possible outcomes.

SOLVE

Question 3.
Draw a tree diagram that shows the possible outcomes of flipping a coin 3 times.
Answer:

So, the possible outcomes of flipping a coin 3 times are 8.

Question 4.
How many outcomes are there where both John and Bill fail?

Answer:
Favorable outcomes = {(Bill passes, Bill fails), (Bill passes, Bill fails)}
So, the outcomes are 2.

Question 5.
Below is a tree diagram of the possibilities where four girls—Heather, Alice, Lucy, and Annie—each choose one item for their desk. How many different outcomes

Answer:
There are 12 possible outcomes.
If Heather, Alice, Lucy, and Annie—each choose one item for their desk then the possible outcomes are 4/12 = 1/3

Question 6.
You are at an ice cream shop and you have three choices of ice cream—vanilla, strawberry, and chocolate. You have to choose a topping of either nuts or sprinkles. Draw a tree diagram that shows all the possible different ice cream cones you can order.
Answer:
Given,
You are at an ice cream shop and you have three choices of ice cream—vanilla, strawberry, and chocolate. You have to choose a topping of either nuts or sprinkles.

There are 2 different outcomes for each flavor of ice cream.
The total possible outcomes are 6.

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 25.3 Box-and-Whisker Plots will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 25.3 Box-and-Whisker Plots

Exercises

SOLVE

Question 1.
What is the approximate median of the data in the box-and-whisker plot?

Answer:
A box and whisker plot is defined as a graphical method of displaying variation in a set of data.
From the above plot, we can say that the median is 75.

Question 2.
The middle 50% of the data is between what two values?

Answer:
The minimum value is 65
Maximum value is 100
First Quartile Q1 = 73.5
Third Quartile Q3 = 91.25
Q3 – Q1 = 91.25 – 73.5 = 17.75

Question 3.
What is the range of the data in the box-and-whisker plot?

Answer:
Highest value = 20
Lowest value = 5
Range = 20 – 5 = 15
The range of the data in the box-and-whisker plot is 15.

Question 4.
What is the approximate range of the lowest 25% of the data in the box-and-whisker plot?

Answer:
The left whisker represents the bottom 25% of the data.
So, 152 is the lowest 25% of the data in the box-and-whisker plot.

Question 5.
What is the range of the top 75% of the scores in the box-and-whisker plot?

Range: ___________
Answer:
Q3 is the upper quartile that represents the top 75% of the scores in the box-and-whisker plot.
Range = 20 – 2
Range = 18
So, 18 is the range of the top 75% of the scores in the box-and-whisker plot

Question 6.
What is the range and median of the box and-whisker plot?

Range: ___________
Median: ____________
Answer:
Range = Highest – Lowest
Range = 11 – 6
Range = 5
The median divides the data set into two sets.
So, 8 is the median of the box and-whisker plot.

Question 7.
What is the approximate range of the third quartile?

Answer:
The third Quartile is the upper quartile (Q3) = 12.

Question 8.
What can you determine about the different quartiles in the box-and-whisker plot?

Answer:
The first step in constructing a box-and-whisker plot is to first find the median (Q2), the lower quartile (Q1) and the upper quartile (Q3) of a given set of data.
You are now ready to find the interquartile range (IQR).
The interquartile range is the difference between the upper quartile and the lower quartile.
IQR = 11 – 9 = 2

Question 9.
What can you say about a student who weighs 155 lbs, if he is part of the group below?

Answer:
155 is the median of the box and-whisker plot.

Question 10.
What is the median of the box-and-whisker plot?

Answer:
Q2 = 0.94
Q2 represents the median of the box-and-whisker plot.
So, 0.94 is the median of the box-and-whisker plot.

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 25.2 Stem-and-Leaf Plots will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 25.2 Stem-and-Leaf Plots

Exercises

INTERPRET

Question 1.
What are the data points in this stem-and-leaf plot? What is the range?

Range: ________________
Answer:
A stem and leaf plot is a table used to display data. The ‘stem’ is shown on the left side of the table and shows the first digit or digits of data values. The ‘leaf’ is shown on the right side of the table and shows the last digit of the data value.
The data points are 19, 22, 25, 26, 30, 52, 53, 55, 62.
Range = Highest – Lowest
Range = 62 – 19
Range = 43

Question 2.
Make a stem-and-leaf plot from the following data:
55, 75, 77, 79, 82, 83, 84, 88, 89, 90, 95

Answer:
A stem and leaf plot is a table used to display data. The ‘stem’ is shown on the left side of the table and shows the first digit or digits of data values. The ‘leaf’ is shown on the right side of the table and shows the last digit of the data value.

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 25.5 Venn Diagrams will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 25.5 Venn Diagrams

Exercises

INTERPRET

Question 1.
In a survey of 75 pet owners, 14 people owned pet birds and 31 owned tropical fish. The remaining people owned both a pet bird and tropical fish. What number should be placed in the intersecting area of the diagram?

Answer:
Given,
In a survey of 75 pet owners, 14 people owned pet birds and 31 owned tropical fish.
75 – 14 – 31 = 30
So, 30 should be placed in the intersecting area of the diagram.

Question 2.
200 students at Edgewater Middle School were surveyed about their favorite type of music. Every student listened to either Hip Hop or Rock music. Some listened to both. Examine the Venn Diagram and calculate how many students listen only to Hip Hop.

Answer:
Given,
200 students at Edgewater Middle School were surveyed about their favorite type of music.
Number of students listen to rock music = 91
Every student listened to either Hip Hop or Rock music = 33
200 – 91 – 33 = 76

Thus 76 students listen only to Hip Hop.

Question 3.
In a survey, 50 students filled out food preferences. What number should be be placed in the intersecting area?

Answer:
In a survey, 50 students filled out food preferences.
50 – 22 – 9 = 19
So, 19 students should be placed in the intersecting area.

Question 4.
This Venn Diagram shows data about gum preferences. How many people participated in the survey?

Answer:
People preferred bubble gum = 29
People preferred Sugar free gum = 11
People preferred both bubble gum and Sugar-free gum = 52
29 + 11 + 52 = 92
Thus 92 people participated in the survey

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 23.7 Graphing Figures will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 23.7 Graphing Figures

Exercises

SOLVE

Question 1.
Plot the coordinates (2, 5), (2, 2), (4, 2), and (4, 5).

Answer:

Question 2.
Draw lines between the points. What shape is formed?
Answer:

The shape of the figure is a rectangle.

Question 3.
Write in the length of each side.
Answer:
Length = 2 units
Breadth = 3 units

Question 4.
What is the perimeter of the figure?
Answer:
Length = 2 units
Breadth = 3 units
Perimeter of the rectangle = 2(2 + 3)
P = 2(5)
P = 10 units

Question 5.
What is the area of the figure?
Answer:
Length = 2 units
Breadth = 3 units
Area of the rectangle = l × b
A = 2 × 3
A = 6 sq. units

Question 6.
Robert is going to walk from his house at the corner of Elm and 1st to his friend Jack’s house at the corner of Birch and 4th. If Robert walks 3 blocks south on Elm Street, what does he need to do next to get to Jack’s house?

Answer:
Given info,
Robert is going to walk from his house at the corner of Elm and 1st to his friend Jack’s house at the corner of Birch and 4th.
Robert will go first to Jack’s house.
And at last, he will go to Birch’s house.
If he wants to go to Jack’s house he should cross Maple’s street, Willow’s Street and Elm’s street.

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 23.6 Surface Area will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 23.6 Surface Area

Exercises

FIND THE SURFACE AREA

Question 1.

Answer:
l = 9
b = 2
h = 3
SA = 2(lw + lh + hw)
SA = 2(9 × 2 + 9 × 3 + 3 × 2)
SA = 2(18 + 27 + 6)
SA = 2(51)
SA = 102

Question 2.
Laura wants to cover a box in fabric for an art project. If the box is a square with 4-inch sides, how much fabric will she need to completely cover all the sides?
Answer:
s = 4 inch
A = 6s²
A = 6 × 4 × 4
A = 96 sq. inch

Question 3.

What is the surface area of the pyramid above if the base is a square with sides of 5 and each triangular side has an area of 10π?
Answer:
Given,
base = 5
height = 10π
A = a² + 2a√ a²/4 + h²
A = 25 + 10√ 25/4 + 985.96
A = 25 + 10(5/2) + 985.96
A = 1035.96 sq. units

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 23.5 Solid Figures will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 23.5 Solid Figures

Exercises

IDENTIFY

Question 1.
How many faces does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is a rectangular pyramid. It has 5 faces.

Question 2.
How many faces does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is cuboid. It has 6 faces.

Question 3.
What shape is the base of this figure?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is a cone. The base of the cone is a circle.

Question 4.
How many faces does this figure have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The above figure has 10 faces.

Question 5.
How many edges does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is triangular pyramid. It has 6 edges.

Question 6.
How many faces does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is a hexagonal prism. It has 8 faces.

Question 7.
How many vertices does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is cuboid. It has 8 vertices.

Question 8.
How many vertices does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is a cone. It has 1 vertex.

Question 9.
How many edges does this solid have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is a hexagonal prism. It has 18 edges.

Question 10.
How many edges and vertices does this cube have?

Answer:
Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and height.
The name of the given shape is Cube. It has 12 edges and 8 vertices.