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0580/12 Oct/Nov 2025, Question 20: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 4 marks

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The question, in short

Given sets ℰ, A and B, complete a Venn diagram and answer questions about the intersection of A and B and the complement of B.

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 Venn diagram for sets A and B.

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

AnswerA only: 5, 7, 9 A ∩ B: 1, 3 B only: 6, 10 Outside A and B: 2, 4, 8

Part (b) · 1 mark

List the elements that belong to both A and B.

  1. 1A ∩ B = {1, 3}

Answer1, 3

Part (c) · 1 mark

Find the number of elements in the complement of B.

  1. 1B′ = {2, 4, 5, 7, 8, 9}
  2. 2n(B′) = 10 − 4 = 6

Answer6

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Also searched as: 0580/12/O/N/25 · 0580_w25_qp_12 · 0580 w25 12 · question 20.
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