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4024/12 May/Jun 2020, Question 9: Three-Figure Bearings

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using a scale drawing with scale 1 cm to 10 km, find the real distance between towns A and B, then locate town C from two given bearings.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Measure the distance between towns A and B on the drawing and convert it to kilometres using the scale 1 cm to 10 km.

  1. 1AB measures 8.5 cm on the drawing
  2. 2Actual distance = 8.5 × 10 = 85 km

Answer85 (accept 83 to 87)

Part (b) · 2 marks

On the scale drawing, mark town C using a bearing of 140° from A and 235° from B.

  1. 1At A, measure 140° clockwise from North and draw a line
  2. 2At B, measure 235° clockwise from North and draw a line
  3. 3C is where the two lines cross

AnswerC positioned correctly

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