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4024/22 May/Jun 2026, Question 10: Venn Diagrams

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks

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The question, in short

Using ℰ = integers 1 to 9, F = factors of 6, C = cube numbers, complete a Venn diagram and find n(F ∪ C)′.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Place the integers 1 to 9 into the Venn diagram for sets F (factors of 6) and C (cube numbers).

  1. 1F = {1, 2, 3, 6}, C = {1, 8}
  2. 2Put 1 in the overlap
  3. 3Put 2, 3, 6 in F only and 8 in C only
  4. 4Put 4, 5, 7, 9 outside the circles

AnswerF only: 2, 3, 6; F ∩ C: 1; C only: 8; outside both: 4, 5, 7, 9

Part (b) · 1 mark

For ℰ = integers 1 to 9, F = factors of 6, C = cube numbers, find n(F ∪ C)′.

  1. 1(F ∪ C)′ = {4, 5, 7, 9}
  2. 2n(F ∪ C)′ = 4

Answer4

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Also searched as: 4024/22/M/J/26 · 4024_s26_qp_22 · 4024 s26 22 · question 10.
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