Section B Practice Problems

Problem 1

There are 6 tennis courts. There are 2 players on each tennis court.

Create a drawing or diagram to represent the tennis players. Then find how many players are on the tennis courts. Explain or show your reasoning.

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Solution

12 players. Sample response:

$2 + 2 + 2 + 2 + 2 + 2 = 12$

Problem 2

The picture graph shows the favorite colors of some people.

Picture Graph. Favorite Colors. Key: dot represents 2 people. Purple, 4 dots. Yellow, 8 dots. Blue, 3 dots. Red, 5 dots.

Match each diagram or drawing to the number of people who chose each color.

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Solution

1,4,2,3,,,,,,

Problem 3

Create a drawing or diagram to represent the expression $4 \times 3$ .

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Solution

Sample response:

Problem 4

There are 4 stacks of books on the table. Each stack has 5 books. How many books are on the table? Explain or show your reasoning.

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Solution

There are 20 books. Sample responses:

$5 + 5 + 5 + 5$

Problem 5

There are 6 basketball teams in the gym. There are 5 people on each team. How many people are on the basketball teams in the gym?

Write a multiplication equation with a symbol for the unknown to represent the situation.
Find the number that makes the equation true. Show your reasoning.

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Solution

$6 \times 5 = {?}$ or $5 \times 6 = {?}$
30. Sample response: I made a diagram and added the numbers.

Problem 6

Write a multiplication equation for the situation. Use ? for the unknown. Find the number that makes the equation true.

There are 4 soccer teams. Each soccer team has 10 players. How many players are there altogether?

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Solution

4 \times 10 = {?}

10 \times 4 = {?}

40 players. Sample response: I counted by 10 like 10, 20, 30, 40.

Problem 7

Solve each problem. Explain or show your reasoning.

There are 7 flowers. Each flower has 5 petals. How many petals are there?
There are 50 petals on some flowers. Each flower has 5 petals. How many flowers are there?

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Solution

35 petals. Sample response:
10 flowers. Sample response: I drew groups of 5 until I reached 50. There were 10 groups, so there are 10 flowers.

Problem 8

Write an expression for the number of circles in the image. Then find the number of circles.

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Solution

36 circles. Sample response:

6\times6

. There are 6 groups of circles, coming out from the center, and there are 6 circles in each group so there are

6 \times 6

circles. That’s 36 circles total.

Problem 9

For each image, determine if there is an even or odd number of circles. Explain or show your reasoning.

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Solution

There are an even number of circles. Sample response: Each rectangle has 3 pairs of circles so all of the circles come in pairs.
There are an odd number of circles. Sample response: I can pair off the first 2 groups of 5 and the second two groups of 5. Then there are 2 more pairs of circles with 1 left over.
There are an even number of circles. Sample response: There are 3 pairs of rectangles and the circles inside of them can be grouped into pairs.

Problem 10

Look outdoors or in your school or home to find some equal groups of objects.

Describe the objects.
Create a drawing to represent the objects.
Write an equation showing how many objects there are.

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Solution

Sample responses:
- There are 5 tables in the classroom. There are 4 chairs at each table.
- There are 8 pairs of socks in my dresser.
Sample responses:
Sample responses:
- $5 \times 4 = 20$ or $4 \times 5 = 20$
- $8 \times 2 = 16$ or $2 \times 8 = 16$