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0580/23 May/Jun 2023, Question 11: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Using the given sets P and Q within universal set ℰ, complete a Venn diagram, then shade a specified set region on a second diagram.

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

Part (a) · 2 marks

Place the elements of ℰ into the correct regions of the two-circle Venn diagram for sets P and Q.

  1. 1P ∩ Q = {e, g, r}
  2. 2P only: a, b, l
  3. 3Q only: m, o, t, y
  4. 4Outside both: none (every letter is in P or Q)

AnswerP only: a, b, l P ∩ Q: e, g, r Q only: m, o, t, y Outside both: none

Part (b) · 1 mark

On the given Venn diagram, shade the region representing A′ ∩ B.

  1. 1A′ is outside A; A′ ∩ B is the part of B outside A
  2. 2Shade the part of B that is not inside A

AnswerShaded region: inside B but outside A

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Also searched as: 0580/23/M/J/23 · 0580_s23_qp_23 · 0580 s23 23 · question 11.
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