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0580/11 Oct/Nov 2021, Question 9: Scale Drawings

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 5 marks

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The question, in short

Using a scale drawing where 1 cm represents 4 km, work with towns P and Q to find a real distance, measure a bearing, and locate town X.

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

Part (a) · 2 marks

Measure the distance between P and Q on the drawing and convert it to actual km using the scale.

  1. 1Measure PQ on the drawing: 8.2 cm
  2. 2Distance = 8.2 × 4 = 32.8 km

Answer32.8 (accept 32 to 33.6)

Part (b) · 1 mark

Measure the bearing of Q from P on the drawing.

  1. 1Measure the angle clockwise from North at P to the line PQ
  2. 2Bearing = 065°

Answer065 (accept 063 to 067)

Part (c) · 2 marks

Convert 28 km to a drawing length and mark X at bearing 140° from P.

  1. 1On the drawing, 28 ÷ 4 = 7 cm
  2. 2Measure 140° clockwise from North at P
  3. 3Mark X 7 cm from P along this line

AnswerX correctly placed 7 cm from P on a bearing of 140°

Stuck on a step? Read the free lesson: Scale Drawings

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Also searched as: 0580/11/O/N/21 · 0580_w21_qp_11 · 0580 w21 11 · question 9.
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