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O-LevelMathematicsGeometry4024/12 · May/June 2014 · Q184 Marks

Find the size of the interior angle of a regular octagon.

  1. (a)Find the size of the interior angle of a regular octagon.[1]
  2. (b)(i)A regular octagon, an equilateral triangle and a regular n-sided polygon fit together at a point. [Figure 18.1] An interior angle of the regular n-sided polygon is a°. Find a.[1]
  3. (b)(ii)Find the value of n.[2]

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Mark scheme

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

  1. [1] 135
  2. [1FT] 165
  3. [1FT] FT 300 – their (a)
  4. [2] 24 cao
  5. [2] M1 for 360 ÷ (180 – their 165)

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About this question

Topic
Geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2014 Paper 1 Variant 2, question 18.

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