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0580/12 May/Jun 2026, Question 25: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks

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The question, in short

Using ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9}, P as prime numbers and N as odd numbers, fill the Venn diagram and find n(P ∪ N).

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

Part (a) · 2 marks

Place each number from 1 to 9 in the correct region of the Venn diagram for sets P and N.

  1. 1Primes: 2, 3, 5, 7; odd: 1, 3, 5, 7, 9
  2. 2P ∩ N: 3, 5, 7
  3. 3P only: 2; N only: 1, 9
  4. 4Outside both: 4, 6, 8

AnswerP only: 2; P ∩ N: 3, 5, 7; N only: 1, 9; outside: 4, 6, 8

Part (b) · 1 mark

State the number of elements in the union of P and N.

  1. 1P ∪ N = {1, 2, 3, 5, 7, 9}
  2. 2n(P ∪ N) = 6

Answer6

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Also searched as: 0580/12/M/J/26 · 0580_s26_qp_12 · 0580 s26 12 · question 25.
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