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4024/13 May/Jun 2026, Question 11: Back Bearings

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Use a given bearing between two towns to find the reverse bearing, and convert a map distance of 10 cm representing 20 km into a ratio scale of the form 1 : n.

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Part (a) · 2 marks

Given the bearing of A from B is 162°, work out the bearing of B from A.

  1. 1Back bearing = 162° + 180°
  2. 2= 342°

Answer342

Part (b) · 2 marks

A 10 cm map distance equals an actual 20 km; find the map scale written as 1 : n.

  1. 120 km = 2 000 000 cm
  2. 210 cm : 2 000 000 cm
  3. 31 : 200 000

Answer1 : 200 000

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