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4MA1/1F Jun 2018, Question 14: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

Use a scale drawing of two ships, L and M, with north arrows, to determine a bearing and then locate a third ship, P, from given distance and bearing information.

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

Part (a) · 1 mark

Measure the bearing of M as seen from L on the provided scale drawing.

  1. 1Measure angle clockwise from north at L to line LM
  2. 2Obtain angle between 108 and 112
  3. 3110

Answer110

Part (b) · 3 marks

Using 1 cm to 5 km, place a cross on the diagram for P, which is 40 km from L and at a bearing of 240° from M.

  1. 140 ÷ 5 = 8
  2. 2Draw arc of radius 8 cm (7.8−8.2 cm) centered at L
  3. 3Draw line from M on a bearing of 240° (238°−242°)
  4. 4Mark intersection of arc and line with ×
  5. 5cross marked in correct position

Answercross marked in correct position

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