Multiplicative Comparison Word Problems Worksheets - Set 1 ... - Free Printable

Let's solve the multiplicative comparison word problems shown in the image. The worksheet is divided into two parts:

1. Multiple Choice (Set A2) – with 3 questions.
2. Open-ended (Set B1) – with 6 questions.

We’ll go through each problem step by step, showing how to solve them using multiplication and visual models (like bar diagrams), then give the correct answers.

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🔷 Set A2: Multiple Choice Problems

#### Problem 1:
> Richard has 5 times as many toy cars as Michael. If Michael has 8 toy cars, how many toy cars does Richard have?

- Michael: 8
- Richard: 5 × 8 = 40

✔ Answer: C. 40 toy cars

> Explanation:
We multiply Michael’s number of cars by 5:
5 × 8 = 40
So Richard has 40 toy cars.

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#### Problem 2:
> Laura picked 7 apples. Lisa picked 4 times as many apples as Laura. How many apples did Lisa pick?

- Laura: 7
- Lisa: 4 × 7 = 28

✔ Answer: B. 28 apples

> Explanation:
Lisa picked 4 times as many as Laura → 4 × 7 = 28

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#### Problem 3:
> Susan is 3 times as old as her son, Brian. If Brian is 15 years old, how old is Susan?

- Brian: 15
- Susan: 3 × 15 = 45

✔ Answer: D. 45 years

> Explanation:
Susan’s age = 3 × Brian’s age = 3 × 15 = 45

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🔷 Set B1: Open-ended Problems

Now let's solve each open-ended problem with equations and reasoning.

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#### Problem 1:
> Kenneth has 6 apples. Benjamin has 5 times as many apples as Kenneth. How many apples does Benjamin have?

- Kenneth: 6
- Benjamin: 5 × 6 = 30

✔ Answer: 30 apples

> Equation:
5 × 6 = n
n = 30

> Bar Model:
Kenneth: [6]
Benjamin: [6][6][6][6][6] → total = 30

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#### Problem 2:
> Melissa has a blue ribbon that is 12 cm long and a red ribbon that is 4 times as long as the blue. How long is the red ribbon?

- Blue ribbon: 12 cm
- Red ribbon: 4 × 12 = 48 cm

✔ Answer: 48 cm

> Equation:
4 × 12 = n
n = 48

> Bar Model:
Blue: [12]
Red: [12][12][12][12] → total = 48

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#### Problem 3:
> Anna and Betty went to buy cupcakes. Anna bought 3 times as many as Betty. If Betty bought 9 cupcakes, how many cupcakes did Anna buy?

- Betty: 9
- Anna: 3 × 9 = 27

✔ Answer: 27 cupcakes

> Equation:
3 × 9 = n
n = 27

> Bar Model:
Betty: [9]
Anna: [9][9][9] → total = 27

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#### Problem 4:
> In a zoo, there is a green snake that is 3 feet long and a yellow snake that is 4 times as long as the green snake. How long is the yellow snake?

- Green snake: 3 ft
- Yellow snake: 4 × 3 = 12 ft

✔ Answer: 12 feet

> Equation:
4 × 3 = n
n = 12

> Bar Model:
Green: [3]
Yellow: [3][3][3][3] → total = 12

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#### Problem 5:
> Daniel and Richard were catching fish. Daniel caught 5 times as many as Richard. If Richard caught 4 fish, how many fish did Daniel catch?

- Richard: 4
- Daniel: 5 × 4 = 20

✔ Answer: 20 fish

> Equation:
5 × 4 = n
n = 20

> Bar Model:
Richard: [4]
Daniel: [4][4][4][4][4] → total = 20

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#### Problem 6:
> Jeff has a piece of yarn that is 7 cm long. Nora has a piece of yarn that is 6 times as long. How long is Nora’s piece of yarn?

- Jeff: 7 cm
- Nora: 6 × 7 = 42 cm

✔ Answer: 42 cm

> Equation:
6 × 7 = n
n = 42

> Bar Model:
Jeff: [7]
Nora: [7][7][7][7][7][7] → total = 42

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✔ Final Answers Summary:

#### Set A2 (Multiple Choice):
1. C. 40 toy cars
2. B. 28 apples
3. D. 45 years

#### Set B1 (Open-ended):
1. 30 apples
2. 48 cm
3. 27 cupcakes
4. 12 feet
5. 20 fish
6. 42 cm

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📌 Key Concept:

These are multiplicative comparison problems, where one quantity is described as being *a certain number of times* as much as another. We use multiplication to find the unknown quantity.

> Formula:
If A is *x times* as much as B → A = x × B

Use bar models to visualize the relationships — this helps students understand how multiplication works in real-life contexts.

Let me know if you'd like these problems turned into a printable answer key!