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4024/11 Oct/Nov 2020, Question 15: Removed from the 2025–27 syllabuses (parked)

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

With triangle ABC shown, produce a compass-and-straight-edge construction of the bisector of angle ABC, then mark the set of interior points a fixed distance from side AC.

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

Part (a) · 2 marks

Construct the bisector of the angle at B using only compasses and a straight edge.

  1. 1With compasses centred at B, draw an arc crossing BA and BC
  2. 2From each crossing point, draw arcs of equal radius that meet inside the angle
  3. 3Rule a line from B through the point where these arcs meet

AnswerAcceptable ruled bisector of angle ABC, with correct construction arcs

Part (b) · 1 mark

Draw, inside triangle ABC, the locus of points 3 cm away from AC.

  1. 1Draw a ruled line inside the triangle, parallel to AC and 3 cm from it

AnswerAcceptable ruled line parallel to AC

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Also searched as: 4024/11/O/N/20 · 4024_w20_qp_11 · 4024 w20 11 · question 15.
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