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4024/23 May/Jun 2025, Question 11: Venn Diagrams

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks

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The question, in short

Given ℰ = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, A = primes and B = factors of 36, complete a Venn diagram and answer set questions.

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

Part (a) · 2 marks

Place each element of ℰ in the correct region of the two-circle Venn diagram for sets A and B.

  1. 1A = {2, 3, 5, 7, 11}; B = {2, 3, 4, 6, 9, 12}
  2. 2A ∩ B: 2, 3
  3. 3A only: 5, 7, 11; B only: 4, 6, 9, 12
  4. 4Outside A and B: 8, 10

AnswerA only: 5, 7, 11 A ∩ B: 2, 3 B only: 4, 6, 9, 12 Outside A and B: 8, 10

Part (b) · 1 mark

List the elements in A union the complement of B.

  1. 1B′ = {5, 7, 8, 10, 11}
  2. 2A ∪ B′ = {2, 3, 5, 7, 8, 10, 11}

Answer2, 3, 5, 7, 8, 10, 11

Part (c) · 1 mark

Find the number of elements in A intersect the complement of B.

  1. 1A ∩ B′ = {5, 7, 11}
  2. 2n(A ∩ B′) = 3

Answer3

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Also searched as: 4024/23/M/J/25 · 4024_s25_qp_23 · 4024 s25 23 · question 11.
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