Lesson R2

R2 Scale factors, scale diagrams and maps Quiz: AQA Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

Lesson R2, Scale factors, scale diagrams and maps: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. A length of 4 cm is enlarged by scale factor 3. What is the new length?

    • 7 cm
    • 4 cm
    • 1.33 cm
    • 12 cm

  2. A map has scale 1 : 50000. How far on the ground does 2 cm on the map represent?

    • 25 km
    • 10 km
    • 500 m
    • 1 km

  3. A plan has scale 1 cm : 2 m. A wall is 5.5 m long. How long is it on the plan?

    • 5.5 cm
    • 11 cm
    • 0.36 cm
    • 2.75 cm

  4. A shape is enlarged by scale factor 2. By what factor does its area change?

    • 4
    • 1/2
    • 2
    • 8

  5. An original length is 5 and the new length is 15. What is the scale factor?

    • 1/3
    • 3
    • 10
    • 5

  6. A scale drawing uses 1 cm for 2 km. A road is 7 cm long on the drawing. How long is the real road?

    • 14 km
    • 3.5 km
    • 27 km
    • 9 km

  7. A length of 6 cm is reduced to 2 cm. What is the scale factor?

    • 1/2
    • 3
    • 4
    • 1/3

  8. A map has scale 1 : 25000. What ground distance does 4 cm on the map represent?

    • 0.25 km
    • 10 km
    • 4 km
    • 1 km

  9. A rectangle 2 cm by 5 cm is enlarged by scale factor 3. What are its new dimensions?

    • 5 cm by 8 cm
    • 6 cm by 15 cm
    • 6 cm by 10 cm
    • 2 cm by 15 cm

  10. A model car has scale 1 : 24. The real car is 3.6 m long. How long is the model?

    • 15 cm
    • 86.4 cm
    • 1.5 cm
    • 150 cm

  11. A triangle with sides 3, 4 and 5 is enlarged to sides 6, 8 and 10. What is the scale factor?

    • 2
    • 3
    • 6
    • 1/2

  12. Which map scale is more detailed?

    • 1 : 10000
    • 1 : 100000
    • Both are equally detailed
    • Neither, since they differ only by 10

  13. A 12 m garden is drawn 3 cm long. What is the scale?

    • 1 cm to 4 m
    • 4 cm to 1 m
    • 3 cm to 12 m
    • 1 cm to 12 m

  14. A line 10 cm long is scaled by a factor of 0.5. What is its new length?

    • 2.5 cm
    • 20 cm
    • 5 cm
    • 10 cm

  15. On a map with scale 1 cm to 500 m, two places are 6.4 cm apart. What is the real distance?

    • 32 km
    • 0.32 km
    • 320 m
    • 3.2 km

  16. An original quantity is 40 and the new quantity is 10. What is the scale factor?

    • 0.25
    • 0.4
    • 30
    • 4

  17. On a 1 : 500 plan, a wall is 9 m long. How long is it on the plan?

    • 0.18 cm
    • 18 cm
    • 1.8 cm
    • 4.5 cm

  18. A triangle is enlarged by scale factor 3. How do its angles change?

    • They become one third as large
    • They stay the same
    • They become three times larger
    • They become nine times larger

  19. Two similar shapes have scale factor 2 between them. Which statement is true?

    • Only one side of the second is doubled
    • The angles of the second are doubled
    • All areas of the second are twice those of the first
    • All lengths of the second are twice those of the first

  20. (H) A 4 cm squared area on a map with scale 1 : 20000 is what real area?

    • 0.016 km squared
    • 1.6 km squared
    • 0.16 km squared
    • 16 km squared

All AQA Maths quizzes