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4MA1/2FR Jun 2023, Question 12: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Scale drawing with boats A and B, scale 1 cm to 3 km. Find the real distance between A and B, then locate boat C using a bearing and distance from B.

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

Part (a) · 2 marks

Measure the distance between A and B on the drawing and convert it to kilometres using the scale 1 cm = 3 km.

  1. 1Measure AB on the drawing: 7.5 cm
  2. 2Each cm is 3 km: 7.5 × 3 = 22.5 km

Answer22.5 (accept 21.9 to 23.1)

Part (b) · 3 marks

Mark boat C on the drawing, 24 km from B on a bearing of 110° from B.

  1. 124 ÷ 3 = 8
  2. 2Draw a line from B at a bearing of 110° of length 8 cm
  3. 3Mark the end of the line with a cross (×)

AnswerA cross 8 cm from B (24 ÷ 3) on a bearing of 110°

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