R2 use scale factors, scale diagrams and maps Quiz: Pearson Edexcel Maths, Unit 3

The 20 questions

1. What does a map scale of 1 to 100 mean?

   • 1 mm to 100 cm
   • 1 cm to 100 m
   • 1 cm to 100 cm
   • 1 m to 100 cm

2. The scale factor of an enlargement that doubles lengths is

   • 4
   • 1
   • 0.5
   • 2

3. A scale factor less than 1 produces

   • an enlargement
   • a reduction
   • a reflection
   • a translation

4. If lengths are scaled by k, areas are scaled by

   • 2k
   • k^3
   • k^2
   • k

5. If lengths are scaled by k, volumes are scaled by

   • k
   • 3k
   • k^3
   • k^2

6. On a 1:50 000 map, 1 cm represents

   • 500 m
   • 50 m
   • 50 km
   • 5 km

7. What is a scale diagram?

   • Area graph
   • Proportional drawing
   • Life-size drawing
   • Random sketch

8. How do you find a real length from a scale drawing?

   • Square the scale
   • Multiply by scale
   • Add the scale
   • Divide by scale

9. On a scale of 1:200, a wall is 6 cm long on the drawing. Its real length is

   • 3 m
   • 120 m
   • 12 m
   • 1.2 m

10. A length of 4 cm is enlarged by scale factor 3. The new length is

    • 16 cm
    • 7 cm
    • 12 cm
    • 1.33 cm

11. A shape of area 5 cm^2 is enlarged by scale factor 3. The new area is

    • 25 cm^2
    • 15 cm^2
    • 135 cm^2
    • 45 cm^2

12. On a 1:25 000 map, a line measures 4 cm. Its real length is

    • 6250 m
    • 1000 m
    • 100 m
    • 10 000 m

13. A segment of 3 cm is enlarged to 12 cm. The scale factor is

    • 9
    • 0.25
    • 4
    • 15

14. A model car is made to a scale of 1:20. The real car is 4 m long. The model is

    • 5 cm long
    • 80 cm long
    • 20 cm long
    • 2 cm long

15. A box has its lengths enlarged by scale factor 2. Its volume is multiplied by

    • 4
    • 8
    • 6
    • 2

16. A rectangle 2 cm by 3 cm is enlarged by scale factor 4. Its new area is

    • 24 cm^2
    • 96 cm^2
    • 12 cm^2
    • 48 cm^2

17. On a map with scale 1:20 000, two towns are 9 cm apart. The real distance is

    • 18 km
    • 0.18 km
    • 1.8 km
    • 4.5 km

18. A solid with volume 40 cm^3 has its lengths scaled by 3. The new volume is

    • 3240 cm^3
    • 120 cm^3
    • 1080 cm^3
    • 360 cm^3

19. On a plan with scale 1:500, a room has area 8 cm^2. Its real area is

    • 4000 m^2
    • 200 m^2
    • 16 m^2
    • 20 m^2

20. A shape is enlarged so its area becomes 64 times larger. The linear scale factor is

    • 32
    • 8
    • 4
    • 16

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