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4024/12 May/Jun 2023, Question 6: Scale Drawings

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Using a scale drawing with scale 1 cm to 2 km, find the real distance and bearing between villages A and B, then construct the equidistant path from both.

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

Part (ai) · 2 marks

Measure the length AB on the drawing and convert it to actual distance using the scale 1 cm to 2 km.

  1. 1Measure AB on the drawing: 9.3 to 9.7 cm
  2. 2Actual distance = length in cm × 2 km
  3. 3AB = 9.3 × 2 = 18.6 km to 9.7 × 2 = 19.4 km

Answer18.6 to 19.4

Part (aii) · 1 mark

Measure the bearing of B from A using the North arrow at A.

  1. 1Measure the angle clockwise from the North line at A round to the line AB
  2. 2Bearing of B from A = 238° to 242°

Answer238 to 242

Part (b) · 2 marks

With straight edge and compasses only, construct the locus of points equidistant from A and B.

  1. 1With compasses set to more than half of AB, draw arcs from A above and below AB
  2. 2With the same radius, draw arcs from B to cut them
  3. 3Rule a line through the two crossing points: the perpendicular bisector of AB

AnswerAcceptable perpendicular bisector of AB with two pairs of correct arcs

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Also searched as: 4024/12/M/J/23 · 4024_s23_qp_12 · 4024 s23 12 · question 6.
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