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O-LevelMathematicsGeometry4024/12 · May/June 2023 · Q65 Marks

The scale drawing shows the positions of two villages, A and B. The scale is 1 cm to 2 km. [Figure X.X]

  1. (a)(i)Find the actual distance AB.[2]
  2. (a)(ii)Find the bearing of B from A.[1]
  3. (b)A plane flies so that it is always equidistant from A and B. Using a straight edge and compasses only, construct the path of the plane.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. 6(a)(i) 18.6 to 19.4
  2. 6(a)(i) B1 for 9.3 to 9.7 seen or M1 for their distance in cm × 2 as answer
  3. 6(a)(ii) 238 to 242
  4. 6(b) Acceptable perpendicular bisector of AB with two pairs of correct arcs
  5. 6(b) B1 for acceptable perpendicular bisector 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 2023 Paper 1 Variant 2, question 6.

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