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.

Q1:

Find the missing number.

30 is 6 times greater than .

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?

  • A24=3×8
  • B36=4×9
  • C12=3×9
  • D30=3×10
  • E27=3×9

Q3:

Select the statement that matches the following equation: 72=9×8.

  • 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 ×8=32 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.

  • A2×4=8
  • B4×4=16
  • C2×2=4
  • D2×4=6
  • E4×4=8

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 3×1=3, 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?

  • A1×1×1×1×1=5
  • B5×3=8
  • C5×3=15
  • D5×1=6
  • E5×1=5

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.

  • A18=6×6
  • B9=3×3
  • C9=3×6
  • D18=3×6
  • E6=3×3

Q10:

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

NameLiamMatthewDanielDavid
Score614187

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.

NameJacobLiamDanielMason
Score422176

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.

  • A21=42×2
  • B42=7×6
  • C42=21×2
  • D42=6×35
  • E6=42×7

Q12:

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

  • A8=56×7
  • B56=8×7
  • C8=56+7
  • D7=56×8
  • E56=8+7

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 7×=35 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 8×9?

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?

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