GCSE Mathematics (9-1)

7.1 Units of measure and conversions — Practise

  1. Convert 3.453.45 km to metres.
  2. Convert 750750 ml to litres.
  3. Convert 0.80.8 m2^2 to cm2^2.
  4. A map scale is 1:25 0001:25\,000. Two towns are 6.46.4 cm apart. Find the real distance in kilometres.
  5. A plan uses scale 1:801:80. Find the drawing length for a real wall measuring 44 m.
  6. A boat travels on a bearing of 072∘072^\circ. Give the reverse bearing.
  7. A bearing is measured clockwise from which direction?
  8. Convert 2.32.3 tonnes to kilograms.
  9. H H A map distance is 7.57.5 cm and the real distance is 33 km. Find the scale in the form 1:n1:n.
  10. H H Convert 35 00035\,000 cm2^2 to m2^2.
Answers and concise solutions

1. Convert kilometres to metres

Answer: 34503450 m.

2. Convert millilitres to litres

Answer: 0.750.75 litres.

3. Convert square metres

Answer: 80008000 cm2^2.

4. Map distance

Answer: 1.61.6 km.

5. Plan length

Answer: 55 cm.

6. Reverse bearing

Answer: 252∘252^\circ.

7. Bearing reference

Answer: From north, clockwise.

8. Convert tonnes

Answer: 23002300 kg.

9. Find a map scale

Answer: 1:40 0001:40\,000.

10. Convert square centimetres

Answer: 3.53.5 m2^2.

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