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O-LevelMathematicsGeometry4024/12 · Oct/Nov 2014 · Q194 Marks

The diagram shows a figure made from four identical hexagons. It has both line and rotational symmetry. [Figure 19.1]

  1. (a)What is the order of the rotational symmetry?[1]
  2. (b)Each marked angle is 60°. Find the other angles in one of the hexagons.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] (a) 4
  2. [1] (b) 90°
  3. [1] two 150° } correctly obtained
  4. [1] two 135° } correctly obtained
  5. [1] If [0] earned for the two 150s, award M1 for using 360° correctly in a quadrilateral, or for using 540° correctly in a pentagon, or for using 720° correctly in a hexagon, to find the 135. If [0] earned in (b), then B1 for (angle sum of a hexagon equals) 720° seen.

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 2, question 19.

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