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4024/11 May/Jun 2020, Question 21: Removed from the 2025–27 syllabuses (parked)

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using a scale drawing at 2 cm to 1 km, measure the bearing of B from A, find the real distance AB, and construct the position of buoy X.

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

Part (a) · 1 mark

Measure the bearing of ship B from ship A on the diagram.

  1. 1Place the protractor at A with 0° on the North line
  2. 2Measure clockwise from North to the line AB
  3. 3Bearing = 128°

Answer128° (± 2°)

Part (b) · 1 mark

Measure the length AB on the drawing and convert it to kilometres using the scale.

  1. 1AB measures 7 cm on the diagram
  2. 22 cm represents 1 km
  3. 37 ÷ 2 = 3.5 km

Answer3.5 (± 0.1 km)

Part (c) · 2 marks

Draw the locus equidistant from A and B, intersect it with the bearing 260° from B, and mark X.

  1. 1Equidistant from A and B: construct the perpendicular bisector of AB with compasses
  2. 2At B, measure 260° clockwise from North (80° past due South) and draw the line
  3. 3Mark X where the two lines cross

AnswerPerpendicular bisector of AB drawn and line drawn on a bearing of 260° (± 2°) from B with X marked at the intersection

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Also searched as: 4024/11/M/J/20 · 4024_s20_qp_11 · 4024 s20 11 · question 21.
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