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Use scale factors.

Use scale factors

Numihana · England Year 6

Use scale factors

Practice sheet

Name: ______________
Date: ______________

Use scale factors

1

A corresponding side is 28 cm. Enlarge the shape by scale factor 5. Find the new side length, in cm.

Answer: ________________
2

A corresponding side is 26 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: ________________
3

A corresponding side is 11 cm. Enlarge the shape by scale factor 3. Find the new side length, in cm.

Answer: ________________
4

A corresponding side is 6 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: ________________
5

A corresponding side is 2 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: ________________
6

A corresponding side is 4 cm. Enlarge the shape by scale factor 3. Find the new side length, in cm.

Answer: ________________
Numihana · England Year 6 · Use scale factors
Numihana · England Year 6

Use scale factors

Answer key

Name: ______________
Date: ______________

Use scale factors

1

A corresponding side is 28 cm. Enlarge the shape by scale factor 5. Find the new side length, in cm.

Answer: 140
2

A corresponding side is 26 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: 104
3

A corresponding side is 11 cm. Enlarge the shape by scale factor 3. Find the new side length, in cm.

Answer: 33
4

A corresponding side is 6 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: 24
5

A corresponding side is 2 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: 8
6

A corresponding side is 4 cm. Enlarge the shape by scale factor 3. Find the new side length, in cm.

Answer: 12
Numihana · England Year 6 · Use scale factors

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The skill behind this activity

Use scale factors

Department for Education: mathematics programmes of study ↗

Year 6 → Ratio and proportion · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Multiply each corresponding length by the same scale factor. Compare the original and new shapes to explain that their angles stay equal and their side-length ratios stay consistent.

A common slip

Match corresponding lengths. A length scale factor does not directly give an area scale factor.

Curriculum coverage

Worked example

A corresponding side is 9 cm. Enlarge the shape by scale factor 4. Find the new side length, in cm.

Answer: 36

Multiply each corresponding length by the same scale factor. Compare the original and new shapes to explain that their angles stay equal and their side-length ratios stay consistent.