0580/22 Oct/Nov 2024, Question 18: Venn Diagrams
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Place the four given values from set ℰ into the correct regions of a two-set Venn diagram with sets A and B, then shade a described region in a three-set diagram.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 3 marks
Sort each of the four values (8 × 10⁻¹, 0.8 recurring, 8%, √0.08) into the correct region of the Venn diagram for sets A and B.
- 18 × 10⁻¹ = 0.8: in A (≤ 0.8) and in B (≥ 0.8) → A ∩ B
- 20.8̇ = 0.888…: only in B
- 38% = 0.08: not > 0.08 and not ≥ 0.8 → outside A and B
- 4√0.08 = 0.282…: only in A
AnswerA only: √0.08 A ∩ B: 8 × 10⁻¹ B only: 0.8̇ Outside A and B: 8%
Part (b) · 1 mark
On the three-circle Venn diagram, shade the region representing (A ∪ C) ∩ B′.
- 1Shade A and C, but leave unshaded every part that lies inside B
AnswerShaded: the parts of A and C that are outside B
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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 18.
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