0580/11 Oct/Nov 2021, Question 20: Venn Diagrams
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
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The question, in short
In a village of 50 families, 23 own a car, 10 own both a car and a bicycle, and 6 own neither. Use this to complete a Venn diagram and find n(C ∪ B).
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 B within the universal set of 50 families, using 23 car owners, 10 with both, and 6 with neither.
- 1C ∩ B = 10
- 2C only = 23 − 10 = 13
- 3Outside both = 6
- 4B only = 50 − 13 − 10 − 6 = 21
AnswerC only: 13 C ∩ B: 10 B only: 21 Outside both: 6
Part (b) · 1 mark
Using the given family counts, find n(C ∪ B), the number of families owning a car or a bicycle.
- 1n(C ∪ B) = 13 + 10 + 21 = 44
Answer44
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Also searched as: 0580/11/O/N/21 · 0580_w21_qp_11 · 0580 w21 11 · question 20.
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