All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 10 Lesson 4 Problem-Solving Investigation: Draw a Diagram **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 10 Lesson 4 Problem-Solving Investigation: Draw a Diagram

**Learn the Strategy**

Anessa and a classmate have 8 insects in a jar. Four-eighths of the insects are beetles. One is a firefly and the rest are crickets. What fraction of the inseds are crickets?

1. Understand

What facts do you know?

There are 8 insects. One is a ______________.

Four-eighths are ______________. The rest are ______________.

What do you need to find?

the fraction of insects that are ______________

2. Plan

I will draw a diagram to solve the problem.

3. Solve

- Draw a figure that is divided into 8 equal parts.
- Shade \(\frac{4}{8}\) of the figure for the beetles. Label with B.
- Shade 1 part for the firefly. Label with F.

So, of the insects are crickets.

4. Check

Does your answer make sense? Explain.

Answer:

There are 8 insects. One is a firefly.

Four-eighths are beetles. The rest are crickets.

What fraction of the insets are crickets is 1/8.

So, 1/8 of the insects are crickets.

**Practice the Strategy**

Six students brought their pet to school on Pet Day. Three of the pets were dogs and \(\frac{1}{6}\) were cats. The rest of the pets were birds. What fraction of the pets were birds?

1. Understand

What facts do you know?

What do you need to find?

2. Plan

3. Solve

4. Check

Does your answer make sense? Explain.

Answer:

Given that,

Six students brought their pet to school on Pet Day.

The 3 of the pets were dogs.

The cats are \(\frac{1}{6}\). Means 1 cat.

The rest of the pets were birds.

Therefore the fraction of the pets were birds are 2/6.

**Apply the Strategy**

**Solve each problem by drawing a diagram.**

Question 1.

Ali is playing jacks. She tosses 8 jacks on the floor. She bounces the ball and picks up 5 jacks before the ball drops. What fraction of the jacks did Ali not pick up?

Answer:

Given that,

She tosses 8 jacks on the floor.

She bounces the ball and picks up 5 jacks before the ball drops.

Ali not pick up = 8 – 5 = 3.

Therefore the fraction of the jacks that Ali not pick up is 3/8.

Question 2.

Of the 4 houses on the block, 2 are brick and 1 is wood. What fraction of houses is neither wood nor brick?

Answer:

Given that,

There are 4 houses on the block.

There are 2 bricks and 1 wood.

Therefore the fraction of the houses with wood is 1/4.

The fraction of the bricks is 2/4.

Question 3.

Two out of three students in the Reading Club wear glasses. Write the fraction in words to describe the set of students who wear glasses.

Answer:

Given that,

Two out of three students in the Reading Club wear glasses.

Therefore the fraction is 2/3.

The fraction in words is two-third.

Question 4.

There are 6 books. Three-sixths of the books are Willow’s. One belongs to Brian. The other books belong to Mrs. Peterson. How many books belong to Mrs. Peterson?

Answer:

Given that,

There are 6 books.

3/6 of the books are Willow’s. It means 3 books near Willow’s.

1 book belongs to Brain.

The other books belongs to Petersons is 6 – 4 = 2.

Therefore 2 books are belongs to Mrs. Peterson.

Question 5.

**Mathematical PRACTICE** Be Precise There are an equal number of student desks in classrooms 3A and 3B. Joel washed one-half of the desks in room 3A. Tyrell washed three-fourths of the desks in room 3B. Which boy washed more desks? Explain.

Answer:

Given that,

The two class rooms has equal number of desks.

Tyrell washed three-fourths of the desks in room 3B is 3/4 .

It means the boy washed 3 desks.

Joel washed one-half of the desks in room 3A is 2.

Therefore the boy washed more desks in 3B classroom.

**Review the Strategies**

Use any strategy to solve each problem.

- Draw a diagram.
- Make a table.
- Look for a pattern.
- Use models.

Question 6.

Write the fraction for the shaded part of each figure. How are the fractions for these divided circles alike?

Answer:

All the four fractions has same numerator.

Question 7.

Matthew downloaded six songs from the Internet. One-half of the songs were country songs. How many songs were not country songs?

Answer:

Given that,

Matthew downloaded 6 songs from the Internet.

One-half of the songs were country songs means 6/2 = 3.

The songs that are not country songs is 6 – 3 = 3.

Therefore the songs that are not country songs is 3.

Question 8.

Beth gets on the elevator at the sixth floor. She rides up three floors to meet Doris. They ride down seven floors to meet Julio. How many floors is Beth from where she started?

Answer:

Given that,

Beth gets on the elevator at the sixth floor. It means Beth is on 6th flour.

She rides up three floors to meet Doris. It means 6 + 3 = 9. Known Beth is on 9th flour.

They ride down seven floors to meet Julio. It means 9 – 7 = 2. It means Beth want to 2 floor to meet Julio.

Therefore Beth is 4 floors away from her starting position on the 6th floor.

Question 9.

**Mathematical PRACTICE** Make Sense of Problems Four students are standing in line. Evan is ahead of Kam. Chad is behind Kam. Tara is behind Evan. Write the order in which they are standing from front to back in line.

Answer:

Given that,

Evan is ahead of Kam.

Chad is behind Kam.

Tara is behind Evan.

Therefore the order of the four students standing from front to back in line is Evan, Tara, Kam, Chad.

Question 10.

There are 8 paintbrushes. One-half of the paintbrushes are red and the rest of the paintbrushes are green. How many paintbrushes are green?

Answer:

Given that,

One half of 8 paintbrushes is 4.

The number of red paintbrushes is 4.

The number of green paintbrushes is 4.

Therefore number of Paintbrushes that are green is 4.

### McGraw Hill My Math Grade 3 Chapter 10 Lesson 4 My Homework Answer Key

**Problem Solving**

**Solve each problem by drawing a diagram.**

Question 1.

Dalton ate 6 pieces of fruit on Monday. He ate 2 apples, 1 banana, 1 orange, and some apricots. What fraction of the fruit Dalton ate was apricots?

Answer:

Given that,

Dalton ate 6 pieces of fruit on Monday.

Dalton ate 2 apples, 1 banana and 1 orange and some apricots.

2 + 1 + 1 = 4

6 – 4 = 2.

The number of apricots is 2.

Therefore the fraction of the fruit Dalton ate apricots is 2/6.

Question 2.

The Johnsons have 3 dogs. Two of the dogs have brown spots. The other dog has black spots. What fraction of the dogs has black spots?

Answer:

Given that,

The Johnsons have 3 dogs.

The number of brown sport dogs is 2.

The number of black spots dogs is 1.

Therefore the fraction of the dogs has black spots is 1/3.

Question 3.

**Mathematical PRACTICE** Model Math Hannah has 6 cups. She wants to divide them evenly between 2 shelves. How many cups will Hannah put on each shelf?

Answer:

Given that,

Math Hannah has 6 cups.

He want to divide equally in 2 shelves.

The total number of cups in each shelf is 6/2 = 3.

Therefore the number of cups in each shelf is 3.

Question 4.

Kenley collects stuffed animals. She has eight stuffed animals. One animal is a bear. What fraction of her stuffed animals is not a bear?

Answer:

Given that,

Kenley collects stuffed animals.

The total number of stuffed animals is 8.

The number of bears are 1.

The total number of animals that are not stuffed is 7.

Therefore the fraction of her stuffed animals is not a bear is 7/8.

Question 5.

**Mathematical PRACTICE** Reason Finn walks 1 mile to the grocery store. When he is halfway back home from the store, a friend picks him up and drives him the rest of the way. What fraction of Finn’s round-trip to the grocery store did he not walk?

Answer:

From the given data

Finn has 2 half going to grocery store and 2 half going back to home.

In the 4 half’s Finn walk 3 half’s and her friend pickup 1 half.

Therefore the fraction of Finn’s round-Trip to the grocery store by not walk is 1/4.