Lesson T3.1.2

T3.1.2 Scale factors, scale diagrams and maps Quiz: KS3 Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T3.1.2, Scale factors, scale diagrams and maps: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.

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The 20 questions

  1. On a map the scale is 1 cm : 5 km. A distance on the map is 3 cm. What is the real distance?

    • 3 km
    • 15 km
    • 8 km
    • 5 km

  2. A shape is enlarged by scale factor 3. A side of 4 cm becomes what length?

    • 12 cm
    • 1.33 cm
    • 7 cm
    • 24 cm

  3. A plan is drawn to a scale of 1:50. A wall is 4 cm long on the plan. What is its real length?

    • 200 m
    • 2 m
    • 20 m
    • 0.2 m

  4. A shape of length 2 cm is enlarged to 8 cm. What is the scale factor?

    • 2
    • 6
    • 4
    • 1/4

  5. A 12 cm line is reduced to 4 cm. What is the scale factor?

    • 3
    • 1/12
    • 1/4
    • 1/3

  6. A map has a scale of 1 cm to 200 m. A distance on the map is 5 cm. What is the real distance?

    • 40 m
    • 200 m
    • 1000 m
    • 2500 m

  7. A rectangle measures 2 cm by 3 cm. It is enlarged to 6 cm by 9 cm. What is the scale factor?

    • 2
    • 3
    • 9
    • 6

  8. A garden is 12 m long and is drawn on a plan at 1:100. How long is it on the plan?

    • 1.2 cm
    • 120 cm
    • 12 cm
    • 0.12 cm

  9. On a map the scale is 1 cm to 1 km. What real distance does 2 cm represent?

    • 1 km
    • 2 km
    • 0.2 km
    • 20 km

  10. A point (2, 3) is enlarged by scale factor 2 from the origin. What are its new coordinates?

    • (4, 3)
    • (4, 6)
    • (1, 1.5)
    • (2, 6)

  11. A triangle side of 5 cm is enlarged to 15 cm. What is the scale factor?

    • 5
    • 1/3
    • 10
    • 3

  12. On a map 1 cm represents 2 km. A distance of 7.5 cm is measured. What is the real distance?

    • 9.5 km
    • 14 km
    • 15 km
    • 3.75 km

  13. On a scale of 1:50, how long is a 5 m wall on the drawing?

    • 100 cm
    • 10 cm
    • 1 cm
    • 2.5 cm

  14. A model of a 6 m car is made at a scale of 1:40. How long is the model?

    • 24 cm
    • 1.5 cm
    • 15 cm
    • 150 cm

  15. A map has a scale of 1:25 000. A real distance is 2 km. How long is it on the map?

    • 80 cm
    • 0.8 cm
    • 8 cm
    • 5 cm

  16. A length of 4 cm is enlarged by scale factor 2.5. What is the new length?

    • 10 cm
    • 8 cm
    • 6.5 cm
    • 1.6 cm

  17. A rectangle 2 cm by 5 cm is enlarged by scale factor 3. What is the perimeter of the new rectangle?

    • 42 cm
    • 21 cm
    • 126 cm
    • 14 cm

  18. A plan has a scale of 1 cm : 2 m. A room is 9 cm long on the plan. What is its real length?

    • 4.5 m
    • 18 m
    • 11 m
    • 180 m

  19. A scale drawing uses 1 cm to represent 10 m. A room is 6 m wide. How wide is it on the drawing?

    • 60 cm
    • 6 cm
    • 0.06 cm
    • 0.6 cm

  20. On a map the scale is 1 cm : 4 km. A distance on the map is 2.5 cm. What is the real distance?

    • 6.5 km
    • 10 km
    • 1.6 km
    • 4 km

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