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0580/33 May/Jun 2026, Question 22: Venn Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 5 marks

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The question, in short

Use set notation for the shaded region of a two-circle Venn diagram, then work with sets X and Y inside the universal set ℰ given.

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

Part (a) · 1 mark

Describe the shaded region, where both circles P and Q are fully shaded, using set notation.

  1. 1Everything in P or Q (or both) is shaded
  2. 2This is the union P ∪ Q

AnswerP ∪ Q

Part (bi) · 2 marks

Place the elements of X, Y and ℰ into the empty two-circle Venn diagram.

  1. 1In both X and Y: R, S, U
  2. 2X only: B, H, M, O
  3. 3Y only: A, E, Q
  4. 4All 10 letters are used, so nothing goes outside the circles

AnswerX only: B, H, M, O; X ∩ Y: R, S, U; Y only: A, E, Q; outside: none

Part (bii) · 1 mark

List the elements that are in ℰ but not in X.

  1. 1X′ is everything in ℰ not in X
  2. 2X′ = {A, E, Q}

AnswerA, E, Q

Part (biii) · 1 mark

Find the number of elements in the intersection of X and Y.

  1. 1X ∩ Y = {R, S, U}
  2. 2n(X ∩ Y) = 3

Answer3

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Also searched as: 0580/33/M/J/26 · 0580_s26_qp_33 · 0580 s26 33 · question 22.
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