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0580/32 May/Jun 2021, Question 6: Three-Figure Bearings

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 8 marks

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The question, in short

Use a 1 cm to 12 m scale drawing of houses A and B to find a real distance and a bearing, plot house C, and calculate a field path length.

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

Part (ai) · 2 marks

Measure the drawn length AB in centimetres and convert it to metres using the 1 cm to 12 m scale.

  1. 1Measured AB = 7.3 cm
  2. 2Distance = 7.3 × 12 = 87.6 m

Answer87.6 (accept 85.2 to 90)

Part (aii) · 1 mark

Measure the bearing of house A as seen from house B, using the North arrow at B.

  1. 1Measure clockwise from North at B to the line BA
  2. 2Bearing of A from B = 247°

Answer247 (accept 245 to 249)

Part (aiii) · 3 marks

Convert 102 m to a drawing length and mark house C from B on a bearing of 157°.

  1. 1On the drawing, 102 ÷ 12 = 8.5 cm
  2. 2From B, measure 157° clockwise from North and draw a line 8.5 cm long; mark its end C

AnswerPoint C correctly plotted

Part (b) · 2 marks

In right-angled triangle PQR with PQ = 98 m and QR = 67 m, calculate the straight path length PR.

  1. 1PR² = 98² + 67² = 9604 + 4489 = 14 093
  2. 2PR = √14 093 = 118.7… ≈ 119 m

Answer119 or 118.7...

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Also searched as: 0580/32/M/J/21 · 0580_s21_qp_32 · 0580 s21 32 · question 6.
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