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Venn Diagrams

Venn Diagrams

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Question 17

A Venn diagram shows the following elements distributed across three sets PPP, QQQ, and RRR, and the universal set E\mathcal{E}E:

  • E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}\mathcal{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
  • Elements in P P\,P only: 1,21, 21,2
  • Elements in Q Q\,Q only: 3,43, 43,4
  • Elements in R R\,R only: 5,65, 65,6
  • Elements in P∩Q P \cap Q\,P∩Q only: 7,87, 87,8
  • Elements in Q∩R Q \cap R\,Q∩R only: 9,109, 109,10
  • Elements in P∩R P \cap R\,P∩R only: 11
  • Elements in P∩Q∩RP \cap Q \cap RP∩Q∩R: 12
  • Elements outside the circles: 13,14,1513, 14, 1513,14,15
a.

List the members of P∩QP \cap QP∩Q

[1]
b.

A number is chosen at random from E\mathcal{E}E. Find P(Q∪R)P(Q \cup R)P(Q∪R)

[2]
Markscheme

Venn Diagrams Questions

  1. GCSE
  2. /Maths
  3. /Venn Diagrams

52 exam-style questions on AQA GCSE Maths Venn Diagrams. Each one has a worked solution and a mark scheme showing where the marks go.

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