Math 7 · Unit 14: Position and transformation · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Complete these workings using a scale of 1 cm represents 5 m. 2 cm on the drawing represents 2 × 5 = [ ] m in real life.

   • 7
   • 3
   • 10
   • 25
   Check

2. 2. Complete these workings using a scale of 1 cm represents 5 m. 3 cm on the drawing represents 3 × 5 = [ ] m in real life.

   • 35
   • 2
   • 8
   • 15
   Check

3. 3. Complete these workings using a scale of 1 cm represents 5 m. 8 cm on the drawing represents [ ] × 5 = [ ] m in real life.

   • 5 and 40
   • 40 and 8
   • 8 and 40
   • 8 and 13
   Check

4. 4. Complete these workings using a scale of 1 cm represents 20 cm. 2 cm on the drawing represents 2 × 20 = [ ] cm in real life.

   • 10
   • 22
   • 40
   • 400
   Check

5. 5. Complete these workings using a scale of 1 cm represents 20 cm. 3 cm on the drawing represents [ ] × 20 = [ ] cm in real life.

   • 3 and 23
   • 3 and 60
   • 3 and 600
   • 20 and 60
   Check

6. 6. Complete these workings using a scale of 1 cm represents 20 cm. 6 cm on the drawing represents [ ] × [ ] = [ ] cm in real life.

   • 6, 20 and 120
   • 6, 20 and 12
   • 6, 20 and 26
   • 3, 20 and 60
   Check

7. 7. Complete these workings using a scale of 1 cm represents 10 m. 20 m in real life represents 20 ÷ 10 = [ ] cm on the drawing.

   • 10
   • 2
   • 200
   • 30
   Check

8. 8. Complete these workings using a scale of 1 cm represents 10 m. 30 m in real life represents 30 ÷ 10 = [ ] cm on the drawing.

   • 40
   • 300
   • 3
   • 20
   Check

9. 9. Complete these workings using a scale of 1 cm represents 10 m. 70 m in real life represents [ ] ÷ 10 = [ ] cm on the drawing.

   • 10 and 7
   • 7 and 70
   • 70 and 7
   • 70 and 700
   Check

10. 10. Complete these workings using a scale of 1 cm represents 50 cm. 100 cm in real life represents 100 ÷ 50 = [ ] cm on the drawing.

    • 50
    • 2
    • 150
    • 5000
    Check

11. 11. Complete these workings using a scale of 1 cm represents 50 cm. 150 cm in real life represents [ ] ÷ 50 = [ ] cm on the drawing.

    • 150 and 3
    • 50 and 3
    • 150 and 30
    • 100 and 2
    Check

12. 12. Complete these workings using a scale of 1 cm represents 50 cm. 300 cm in real life represents [ ] ÷ [ ] = [ ] cm on the drawing.

    • 300, 50 and 60
    • 300, 50 and 6
    • 250, 50 and 5
    • 300, 5 and 60
    Check

13. 13. Scale: 1 cm represents 2 m. Match each scale drawing measurement to the real-life measurement. The first one has been done for you: 2 cm and 4 m.

    • 6 cm
    • 5 cm
    • 2.5 cm
    • 12 cm
    • 3.5 cm

    • 12 m
    • 10 m
    • 5 m
    • 24 m
    • 7 m
    Check

14. 14. Zara draws a building using a scale of 1 cm represents 5 m. On her drawing the building is 16 cm long. How long is the building in real life?

    • 80 m
    • 21 m
    • 800 m
    • 3.2 m
    Check

15. 15. Scale 1 cm represents 5 m. The building in real life is 120 m tall. How tall is it on the scale drawing?

    • 24 cm
    • 12 cm
    • 115 cm
    • 600 cm
    Check

16. 16. Sofia draws a window using a scale of 1 cm represents 20 cm. On her drawing the window is 6 cm wide. How wide is the window in real life, in metres?

    • 120 m
    • 1.2 m
    • 12 m
    • 0.3 m
    Check

17. 17. Scale 1 cm represents 20 cm. The window in real life is 2.2 m tall. How tall is it on the scale drawing, in centimetres?

    • 44 cm
    • 11 cm
    • 0.11 cm
    • 110 cm
    Check

18. 18. The map shows part of Spain. The scale of the map is 1 cm represents 30 km. You measure the distance from Madrid to Toledo on the map with a ruler. How do you work out the distance from Madrid to Toledo in real life, in km?

    • Multiply the distance in cm by 30 000
    • Multiply the distance in cm by 30
    • Add 30 to the distance in cm
    • Divide the distance in cm by 30
    Check

19. 19. Arun makes a scale drawing of his garden on centimetre-squared paper, using a scale of 1 to 200. Calculate the real lengths of AB, BC, CD, DE, EF and AF, in metres.

    • AB 24 m, BC 6 m, CD 8 m, DE 10 m, EF 8 m, AF 16 m
    • AB 12 m, BC 3 m, CD 4 m, DE 5 m, EF 8 m, AF 8 m
    • AB 24 m, BC 8 m, CD 6 m, DE 10 m, EF 16 m, AF 16 m
    • AB 24 m, BC 6 m, CD 8 m, DE 10 m, EF 16 m, AF 16 m
    Check

20. 20. The scale is 1 to 200. The path in Arun's garden is 11 m long. How long will the path be on the scale drawing?

    • 55 cm
    • 2200 cm
    • 0.55 cm
    • 5.5 cm
    Check