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0580/11 Oct/Nov 2025, Question 13: Scale Drawings

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

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The question, in short

Using a scale drawing where 1 cm stands for 10 km, find the real distance between towns A and B, measure a bearing, and plot town C.

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

Part (a) · 2 marks

Use the drawing's scale to convert the measured gap between towns A and B into an actual distance in kilometres.

  1. 1AB measures 8 cm on the scale drawing
  2. 2Actual distance = 8 × 10 = 80 km

Answer80 (accept 78 to 82)

Part (b) · 1 mark

Use a protractor on the diagram to measure the bearing of town B as seen from town A.

  1. 1Measure clockwise from the North line at A to the line AB: 032°

Answer032 (accept 030 to 034)

Part (c) · 2 marks

Convert 45 km to a drawing length, then plot town C at that distance from A on a bearing of 310°.

  1. 145 km ÷ 10 = 4.5 cm on the drawing
  2. 2At A, measure 310° clockwise from North and mark C 4.5 cm from A along that line

AnswerPoint correctly plotted

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Also searched as: 0580/11/O/N/25 · 0580_w25_qp_11 · 0580 w25 11 · question 13.
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