0580/12 Oct/Nov 2023, Question 20: Venn Diagrams
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks
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The question, in short
Using a class of 36 students, with 15 playing cricket and 20 playing football, complete a Venn diagram and find the number in the union of the two sets.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Complete the Venn diagram for sets C and F, using the given counts and the 11 shown in C only and 5 outside both circles.
- 1In C or F: 36 − 5 = 31, so C ∩ F = 15 + 20 − 31 = 4
- 2C only = 15 − 4 = 11, F only = 20 − 4 = 16, outside = 5
AnswerC only: 11 C ∩ F: 4 F only: 16 Outside: 5
Part (b) · 1 mark
Given 36 students and 5 playing neither sport, write down n(C ∪ F).
- 1n(C ∪ F) = 11 + 4 + 16 = 31
Answer31
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Also searched as: 0580/12/O/N/23 · 0580_w23_qp_12 · 0580 w23 12 · question 20.
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