Lemmara logoLemmaraWorked solution

0580/13 May/Jun 2025, Question 12: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Complete a two-set Venn diagram for 30 music members with flute and clarinet data, then find the number who play clarinet.

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

Part (a) · 2 marks

Fill all regions of the Venn diagram for F and C using 30 members, 12 flute players, 7 playing both, and 1 playing neither.

  1. 1F ∩ C = 7
  2. 2F only = 12 − 7 = 5
  3. 3Outside both = 1
  4. 4C only = 30 − 5 − 7 − 1 = 17

AnswerF only 5, F ∩ C 7, C only 17, outside 1

Part (b) · 1 mark

Using 30 members, 12 flute players, 7 playing both and 1 playing neither, find n(C).

  1. 1n(C) = 7 + 17 = 24

Answer24

Stuck on a step? Read the free lesson: Venn Diagrams

Practise more venn diagrams questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on venn diagrams

Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 12.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.