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0580/11 May/Jun 2023, Question 24: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

Using sets ℰ, F and B, complete a two-circle Venn diagram and then work out the number of elements in F ∪ B.

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

Part (a) · 2 marks

Place the remaining elements of ℰ into the correct regions of the Venn diagram for sets F and B, keeping f in F only and d, h outside.

  1. 1F ∩ B = {a, c}, so a and c go in the overlap
  2. 2F only: f, e; B only: b, k
  3. 3Outside both: d, g, h, i, j

AnswerF only: f, e F ∩ B: a, c B only: b, k Outside both: d, g, h, i, j

Part (b) · 1 mark

Find n(F ∪ B), the number of elements in the union of F and B.

  1. 1F ∪ B = {a, b, c, e, f, k}
  2. 2n(F ∪ B) = 6

Answer6

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Also searched as: 0580/11/M/J/23 · 0580_s23_qp_11 · 0580 s23 11 · question 24.
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