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0580/33 May/Jun 2026, Question 9: Scale Drawings

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 5 marks

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The question, in short

Using a scale drawing where 1 cm represents 40 km and B lies directly south of A, measure a bearing, convert a measured length to real distance, and construct a point from two distances.

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

Part (a) · 1 mark

Measure the bearing of C from B on the drawing.

  1. 1Place the protractor at B with 0° pointing north
  2. 2Measure clockwise from north to the line BC
  3. 3Bearing = 125°

Answer125 (allow 123 to 127)

Part (b) · 2 marks

Measure the drawing distance AB in cm and convert it to the real distance in km using the scale.

  1. 1Measure AB on the drawing: 5.5 cm
  2. 2Distance = 5.5 × 40
  3. 3= 220 km

Answer220 (allow 216 to 224)

Part (c) · 2 marks

Using ruler and compasses only, construct D on the drawing, 300 km from A and 240 km from B.

  1. 1300 ÷ 40 = 7.5 cm, so draw an arc of radius 7.5 cm centred at A
  2. 2240 ÷ 40 = 6 cm, so draw an arc of radius 6 cm centred at B
  3. 3D is where the two arcs cross

AnswerTown D correctly placed: 7.5 cm from A and 6 cm from B

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

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Also searched as: 0580/33/M/J/26 · 0580_s26_qp_33 · 0580 s26 33 · question 9.
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