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O-LevelMathematicsStatistics4024/12 · Oct/Nov 2018 · Q72 Marks

In a group of 35 people, 22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat. By drawing a Venn diagram, or otherwise, find the number of people who are wearing neither spectacles nor a hat.

  1. In a group of 35 people, 22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat. By drawing a Venn diagram, or otherwise, find the number of people who are wearing neither spectacles nor a hat.[2]

Mark scheme

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

  1. [2] 9
  2. B1 for a Venn diagram with at least two of 16, 6, 4, 9 in the correct subset.
  3. or M1 for 35 – (22 + 10 – 6) oe

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 2 marks.
Source
O-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 7.

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