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O-LevelMathematicsGeometry4024/11 · May/June 2020 · Q214 Marks

The diagram shows the positions of two ships, A and B, drawn to a scale of 2 cm to 1km.

  1. (a)Measure the bearing of B from A.[1]
  2. (b)Find the distance between the two ships, A and B, in km.[1]
  3. (c)A buoy, X, is • equidistant from A and B and • on a bearing of 260° from B. By making an accurate drawing, mark the position of X on the diagram.[2]

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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] 128° ±2°
  2. [1] 3.5 ±0.1 km
  3. [2] Perpendicular bisector of AB drawn
  4. [2] B1
  5. [2] Line drawn on an bearing of 260° ± 2 from B with X marked at intersection
  6. [2] B1

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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 1, question 21.

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