4024/11 May/Jun 2022, Question 18: Venn Diagrams
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Shade a region on a Venn diagram for P ∩ Q′, then complete a two-set Venn diagram using club data: 32 members, 14 female, 18 male, 5 black-haired females, 6 black-haired males.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
On the given Venn diagram with Q inside P, shade the region for P ∩ Q′.
- 1Shade the ring inside P but outside Q
AnswerRegion inside P but outside Q shaded
Part (b) · 2 marks
Complete the Venn diagram for 32 members using F, B, 14 females, 18 males, 5 and 6 black-haired counts.
- 1F ∩ B = 5
- 2F only = 14 − 5 = 9
- 3B only (males with black hair) = 6
- 4Outside = 18 − 6 = 12
AnswerF only: 9 F ∩ B: 5 B only: 6 Outside F and B: 12
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Also searched as: 4024/11/M/J/22 · 4024_s22_qp_11 · 4024 s22 11 · question 18.
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