O-LevelMathematicsProbability4024/11 · Oct/Nov 2023 · Q184 Marks

In a sports club of 40 members: • 22 members run (R) • 24 cycle (C) • 14 sail (S) • 3 cycle and sail but do not run • 9 run and cycle but do not sail • 5 run and sail but do not cycle • 6 run only. Complete the Venn diagram. [Figure Venn Diagram]

(a)Complete the Venn diagram.[3]
(b)Use set notation to describe the shaded subset in the Venn diagram. [Figure Shaded Venn Diagram][1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

[3] (a) B2 for Venn diagram with 6 or 7 correct values or B1 for Venn diagram with 4 or 5 correct values or for answer 2 in intersection
[1] (b) G ∩ H ∩ F' oe

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Topic: Probability, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source: O-Level Mathematics, Oct/Nov 2023 Paper 1 Variant 1, question 18.

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