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O-LevelMathematicsGeometry4024/12 · May/June 2024 · Q105 Marks

The scale drawing shows part of a field, ABCD. The scale is 1 cm to 50m. [Figure 10]

  1. (a)Measure the bearing of C from B.[1]
  2. (b)D is 250 m from C and 300m from A. Use a ruler and compasses only to complete the scale drawing of the field ABCD.[2]
  3. (c)There is a path across the field. The path is equidistant from AB and BC. Use a straight edge and compasses only to construct the path.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [1] (a) 068 to 072
  2. [2] (b) Acceptable quadrilateral with intersecting arcs
  3. [1] B1 for acceptable D clearly indicated with no/incorrect arcs
  4. [1] B1 for 5 [cm] and 6 [cm] seen
  5. [2] (c) Acceptable angle bisector of ∠B with correct arcs
  6. [1] B1 for acceptable angle bisector of ∠B with no/incorrect arcs

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2024 Paper 1 Variant 2, question 10.

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