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4024/12 May/Jun 2020, Question 12: Removed from the 2025–27 syllabuses (parked)

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

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The question, in short

Using only a straight edge and compasses, draw two loci inside triangle ABC and then shade the area meeting two stated conditions.

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

Part (ai) · 1 mark

Draw the set of points within triangle ABC that lie 5 cm away from vertex B.

  1. 1Set compasses to 5 cm, put the point on B
  2. 2Draw the arc inside the triangle between AB and BC

AnswerArc, centre B radius 5 cm

Part (aii) · 2 marks

Draw the set of points inside triangle ABC that are the same distance from A as from C.

  1. 1With the same radius (more than half AC) draw arcs from A and from C, above and below AC
  2. 2Rule the line through the two crossing points: the perpendicular bisector of AC
  3. 3Leave the construction arcs showing

AnswerAcceptable bisector of AC with correct arcs

Part (b) · 1 mark

Shade the part of triangle ABC whose points are under 5 cm from B and nearer to A than to C.

  1. 1Shade inside the triangle, inside the arc centre B (less than 5 cm from B)
  2. 2and on the A side of the perpendicular bisector of AC (closer to A)

AnswerCorrect region shaded

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Also searched as: 4024/12/M/J/20 · 4024_s20_qp_12 · 4024 s20 12 · question 12.
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