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0580/11 Oct/Nov 2025, Question 24: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 4 marks

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The question, in short

Use the year group total of 80, 40 History students, and the Venn diagram values to complete the diagram, find n(G), and calculate a probability for a randomly chosen student.

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

Part (a) · 2 marks

Complete the Venn diagram using the given totals and the values already shown.

  1. 1H ∩ G = 40 − 10 = 30
  2. 2G only = 80 − 10 − 30 − 15 = 25
  3. 3H only: 10, H ∩ G: 30, G only: 25, outside: 15

AnswerH only: 10 H ∩ G: 30 G only: 25 Outside H and G: 15

Part (b) · 1 mark

Find n(G), the number of students who study Geography.

  1. 1n(G) = 30 + 25 = 55

Answer55

Part (c) · 1 mark

Find the probability that a randomly chosen student studies neither History nor Geography.

  1. 1Outside both circles: 15 students
  2. 2P = 15/80

Answer15/80

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Also searched as: 0580/11/O/N/25 · 0580_w25_qp_11 · 0580 w25 11 · question 24.
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