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Basic Scale Factors Worksheet

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Basic Scale factors

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Part 1: Identify the Scale Factor

A scale factor multiplies every corresponding length by the same positive factor.

1. A shape is enlarged by ×3. Is its scale factor greater than 1, equal to 1, or between 0 and 1?

Greater than 1

Equal to 1

Between 0 and 1

2. A shape is reduced by ×1/2. Is this an enlargement or a reduction?

Enlargement

Reduction

3. Complete the sentences.

A scale factor between 0 and 1 makes a shape ____________.

Corresponding ____________ stay unchanged when a shape is enlarged or reduced.

Part 2: Calculate and Check

Multiply each length by the scale factor. Show your working.

4. A rectangle is 3 cm by 2 cm. It is enlarged by ×2. What are its new dimensions?
5. A triangle has sides of 4 cm, 5 cm and 6 cm. It is enlarged by ×2. Find all three new side lengths.
6. A length of 9 cm is reduced by ×1/3. What is the new length?
7. A length of 12 cm is reduced by ×1/2. What is the new length?
8. Spot the error: A 5 cm side is enlarged by ×2, but a student writes 5 + 2 = 7 cm. What should the student do instead?
9. A corresponding side changes from 4 cm to 8 cm. What scale factor was used? Write one multiplication check.

Part 3: Draw, Measure and Answer Key

10. Draw a rectangle that is 3 cm by 2 cm. Enlarge it by ×2. Measure your new rectangle and write its dimensions.

New dimensions: ____________ cm by ____________ cm

Answer Key

1. Greater than 1.

2. Reduction.

3. smaller; angles.

4. 6 cm by 4 cm.

5. 8 cm, 10 cm and 12 cm.

6. 3 cm.

7. 6 cm.

8. Multiply by 2: 5 × 2 = 10 cm.

9. ×2; for example, 4 × 2 = 8.

10. 6 cm by 4 cm.

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