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0580/21 May/Jun 2024, Question 16: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks

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The question, in short

Use Venn diagrams to shade the region outside both M and N, and to find the number of elements in B ∩ (A′ ∪ C) from the given counts.

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

Part (a) · 1 mark

Shade the part of the Venn diagram that lies outside both circles M and N.

  1. 1M′ ∩ N′ is the part outside both M and N
  2. 2Shade the region inside ℰ but outside both circles

AnswerRegion outside both M and N shaded

Part (b) · 1 mark

Using the counts shown, find n(B ∩ (A′ ∪ C)).

  1. 1A′ ∪ C: everything not in A, plus all of C
  2. 2Parts of B in A′ ∪ C: B only 3, B ∩ C only 4, A ∩ B ∩ C 10
  3. 3n(B ∩ (A′ ∪ C)) = 3 + 4 + 10 = 17

Answer17

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Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 16.
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