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4MA1/1FR Jan 2020, Question 10: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 6 marks

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The question, in short

Using a scale drawing of masts A and B at 1 cm to 2.5 km, find a bearing, a real distance, and locate a third mast C from given bearing and distance.

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

Part (a) · 1 mark

Find the bearing of A measured from B, using the scale drawing.

  1. 1Measure angle clockwise from north at B to line BA.
  2. 2Bearing of A from B is 050°.

Answer050 (accept 048 to 052)

Part (b) · 2 marks

Calculate the actual distance between A and B in km from the drawing and scale.

  1. 1Measure distance between A and B on diagram: 7 cm.
  2. 2Scale: 1 cm = 2.5 km.
  3. 37 × 2.5 = 17.5

Answer17.5 (accept 17 to 18)

Part (c) · 3 marks

Locate C, on a bearing of 115° from A and 20 km from B, marking it with a cross labelled C.

  1. 1Draw line from A at a bearing of 115°.
  2. 2Calculate distance from B: 20 km ÷ 2.5 = 8 cm.
  3. 3Draw arc of radius 8 cm centered at B.
  4. 4Mark intersection of line and arc with ×.
  5. 5Label point C.

AnswerC

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