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O-LevelMathematicsGeometry4024/11 · Oct/Nov 2022 · Q45 Marks

4 [Figure shows positions of two ships A and B, with North lines indicated for both. Scale: 1 cm to 30 m] The diagram shows the position of two ships, A and B. On the diagram 1 cm represents 30m. (a) Find, by measurement, the actual distance of B from A. (b) Measure the bearing of B from A. (c) A third ship is positioned at C. C is on a bearing of 164° from A and on a bearing of 252° from B. Find and label the position of C on the diagram.

  1. (a)Find, by measurement, the actual distance of B from A.[2]
  2. (b)Measure the bearing of B from A.[1]
  3. (c)A third ship is positioned at C. C is on a bearing of 164° from A and on a bearing of 252° from B. Find and label the position of C on the diagram.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [2] 162 to 174
  2. B1 for 5.4 to 5.8
  3. or M1 for their distance in cm written and their answer is 30 times this value
  4. [1] 123 to 127
  5. [2] C in correct position
  6. B1 for bearing of 164° from A or 252° from B

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2022 Paper 1 Variant 1, question 4.

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