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4MA1/1FR Jan 2023, Question 14: Three-Figure Bearings

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

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The question, in short

Using a scale drawing where 1 cm represents 2 km, determine the bearing of T from S and locate a boat from given bearing and distance information.

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

Part (a) · 1 mark

Measure the drawing to determine the bearing of lighthouse T as seen from lighthouse S.

  1. 1Measure the angle clockwise from north at S to the line joining S and T
  2. 2Obtain a bearing within 119 − 123°
  3. 3Answer is 121

Answer121 (accept 119 to 123)

Part (b) · 3 marks

Mark point B on the diagram for a boat bearing 084° from S and 13 km from T.

  1. 1Calculate distance from T: 13 km ÷ 2 km/cm = 6.5 cm
  2. 2Draw an arc with radius 6.5 cm centred at T
  3. 3Draw a line from S on a bearing of 084°
  4. 4Mark the intersection of the arc and the line with a cross
  5. 5Label the cross B

AnswerB correctly indicated

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