# Worksheet: Multiplicative Comparison

In this worksheet, we will practice modeling multiplicative comparison problems with bar models and equations and solving the problems by multiplying and dividing numbers up to 100.

**Q2: **

Sophia and Benjamin were picking strawberries. Benjamin picked 9 strawberries. Sophia picked 3 times as many strawberries as Benjamin.

Which array shows how many strawberries Sophia picked?

- A
- B
- C
- D
- E

Which multiplication equation describes how many strawberries she picked?

- A
- B
- C
- D
- E

**Q3: **

Select the statement that matches the following equation: .

- A72 is 8 times as many as 8.
- B8 is 9 times as many as 72.
- C72 is 9 times as many as 9.
- D72 is 9 times as many as 8.
- E9 is 72 times as many as 8.

**Q4: **

Isabella has 8 balloons. Liam has 32 balloons.

Complete the equation to find how many times more balloons Liam has than Isabella.

**Q5: **

Liam and Elizabeth are comparing their marble collections. Liam has 3 times as many marbles as Elizabeth and Elizabeth has 8 marbles.

Which array shows how many marbles Liam has?

- A
- B
- C
- D
- E

**Q6: **

To train for a road race Noah cycled 9 miles every day for 7 days. Daniel entered the same race but only cycled 9 miles in total. How many times farther did Noah cycle compared to Daniel?

**Q7: **

This rectangle is 2 times as long as it is wide.

Write a multiplication equation to describe this.

- A
- B
- C
- D
- E

**Q8: **

Benjamin is building rectangles out of squares that are 1 cm wide.

The picture shows the first rectangle that he built.

This rectangle is 3 times as long as it is wide.

He writes the equation , which tells him that this rectangle is 3 cm long.

If he builds a rectangle that is 1 cm wide and 5 times as long as it is wide, what equation should he write to find its length?

- A
- B
- C
- D
- E

Next, he builds a rectangle that is 2 cm wide and 3 times as long as it is wide. How long is this new rectangle?

**Q9: **

Chloe has a red ribbon and a blue ribbon. She finds that the blue ribbon is 6 cm long and that the red ribbon is 3 times as long as the blue ribbon.

Pick one way to model this problem.

- A
- B
- C
- D
- E

Write a multiplication equation for the length of the red ribbon.

- A
- B
- C
- D
- E

**Q10: **

The table shows the scores that 4 students earned on a test.

Name | Liam | Matthew | Daniel | David |
---|---|---|---|---|

Score | 6 | 14 | 18 | 7 |

Complete the statement: Matthew scored times as many points as David.

Who scored 3 times as many points as Liam?

- ADaniel
- BDavid
- CMatthew

**Q11: **

The table shows the scores that 4 children achieved while playing a game.

Name | Jacob | Liam | Daniel | Mason |
---|---|---|---|---|

Score | 42 | 21 | 7 | 6 |

Complete the statement: Liam scored times as many points as Daniel.

Write a multiplication equation that shows how many times more points Jacob scored compared to Mason.

- A
- B
- C
- D
- E

**Q12: **

Select the equation that matches the following statement: 56 is 8 times as many as 7.

- A
- B
- C
- D
- E

**Q13: **

Find the missing number.

is 4 times greater than 7.

**Q14: **

A red rectangle is 8 cm long. A blue rectangle is 3 times longer than the red rectangle. How long is the blue rectangle?

**Q15: **

Chloe has 7 times as many gold stars as Sophia. Chloe has 35 gold stars. Find the missing number in the equation to see how many gold stars Sophia has.

**Q16: **

Fill in the blank: When I multiply 12 by 15, the answer is 12 times than 15.

- Aless
- Bgreater

**Q17: **

There are penguins, giraffes, and tigers in a zoo. There are 5 times more penguins than giraffes and there are 3 times as many giraffes as tigers.

There are 2 tigers.

How many giraffes are there?

How many penguins are there?

**Q18: **

A pirate’s treasure chest contains gold coins, rubies, and diamonds. There are 6 times more gold coins than diamonds and there are 3 times as many diamonds as rubies.

There are 9 diamonds.

How many gold coins are there?

How many rubies are there?

**Q19: **

Which of the following states the relationship between the numbers 90 and 9?

- A90 is 10 less than 9.
- B90 is 10 times as small as 9.
- C90 is 10 times as large as 9.
- D90 is 10 more than 9.

**Q20: **

Find the missing number.

18 is times greater than 3.

**Q21: **

Isabella and Scarlett were looking through photos from their summer vacation. Scarlett says, “You have taken 8 times as many as me.” How many photos did Scarlett take if Isabella took ?

**Q22: **

Elizabeth has 4 counters.

Daniel has 5 times as many as Elizabeth. How many does Daniel have?

*Hint:* Draw a model to help you.

**Q23: **

Compare the bar models to find the missing number.

Sophia’s expression is times larger than Michael’s expression.

**Q24: **

In the forest, there are 8 fairies. There are 4 times as many pixies as fairies. What calculation should we do to find the number of pixies?

- Adivide 8 by 4
- Bsubtract 4 from 8
- Cmultiply 4 by 8
- Dadd 4 and 8

**Q25: **

The snake is 5 times as long as the caterpillar.

The caterpillar is 3 cubes long.

Pick the model that shows how long the snake is.

- A
- B
- C

How many cubes long is the snake?