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4024/12 May/Jun 2026, Question 5: Scale Drawings

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using the 2 cm to 1 km scale drawing of villages A and B, locate farm C, which lies 4 km from A and 2.5 km from B and is south of B, then find its bearing from A.

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

Part (a) · 3 marks

With ruler and compasses only, draw the loci 4 km from A and 2.5 km from B on the scale drawing, and mark where they meet south of B.

  1. 14 km × 2 = 8 cm and 2.5 km × 2 = 5 cm
  2. 2Arc of radius 8 cm centred at A
  3. 3Arc of radius 5 cm centred at B
  4. 4C is where the arcs cross south of B

AnswerC positioned correctly south of B with intersecting arcs seen: AC = 8 cm, BC = 5 cm

Part (b) · 1 mark

From your constructed position for C, measure the three-figure bearing of C as seen from village A.

  1. 1Place the protractor at A with 0° on the North line
  2. 2Measure clockwise from North to AC
  3. 3Bearing ≈ 097°

Answer097 (accept 095 to 099)

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