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O-LevelMathematicsGeometry4024/12 · May/June 2020 · Q124 Marks

Use a straight edge and compasses only in this question.

  1. (a)(i)Construct the locus of points inside triangle ABC that are 5 cm from B,[1]
  2. (a)(ii)equidistant from A and C.[2]
  3. (b)Shade the region inside triangle ABC containing the points that are • less than 5 cm from B and • closer to A than to C.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [1] Arc, centre B radius 5 cm
  2. [2] Acceptable bisector of AC with correct arcs
  3. B1 for acceptable bisector with no/incorrect arcs
  4. [1] Correct region shaded
  5. FT their arc centre B and their perpendicular bisector

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2020 Paper 1 Variant 2, question 12.

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