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O-LevelMathematicsGeometry4024/12 · Oct/Nov 2018 · Q134 Marks

The scale diagram shows two islands at A and B. [Figure showing North, A, B]

  1. (a)Write the scale 2 cm to 1 km in the form 1 : n.[1]
  2. (b)By measurement, find the bearing of B from A.[1]
  3. (c)An island at C is on the northern side of AB. It is 3 km from A and 2.5 km from B. Use a ruler and a pair of compasses to construct triangle ABC.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [1] 50 000
  2. [1] 286° to 289°
  3. [2] Acceptable triangle ABC with intersecting arcs at a labelled point C
  4. B1 for an acceptable triangle with the correct point C clearly labelled, but with no/incorrect arcs;
  5. or B1 for an acceptable drawn triangle with intersecting arcs but no label C;
  6. or B1 for an acceptable point C clearly labelled, with intersecting arcs, but with AC and/or BC not drawn.

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 13.

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