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0580/13 Oct/Nov 2023, Question 21: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 3 marks

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The question, in short

Given the universal set ℰ = {2, 4, 8, 9, 10, 12}, with Q the square numbers and R the multiples of 4, complete a Venn diagram and find n(Q ∩ R).

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

Part (a) · 2 marks

Place each of the elements 2, 4, 8, 9, 10, 12 into the correct region of the two-circle Venn diagram for sets Q and R.

  1. 1Square numbers in ℰ: 4, 9; multiples of 4 in ℰ: 4, 8, 12
  2. 24 is in both: Q ∩ R: 4
  3. 3Q only: 9; R only: 8, 12
  4. 4Outside both circles: 2, 10

AnswerQ only: 9 Q ∩ R: 4 R only: 8, 12 Outside: 2, 10

Part (b) · 1 mark

Using ℰ = {2, 4, 8, 9, 10, 12}, Q = square numbers and R = multiples of 4, state n(Q ∩ R).

  1. 1Q ∩ R = {4}, so n(Q ∩ R) = 1

Answer1

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Also searched as: 0580/13/O/N/23 · 0580_w23_qp_13 · 0580 w23 13 · question 21.
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