Venn Diagrams

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A Venn diagram shows the following elements distributed across three sets $A$ , $B$ , and $C$ , and the universal set $E\mathcal{E}$ :

$E={1,2,3,4,5,6,7,8,9,10,11,12}\mathcal{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}$
Elements in $A\,$ only: $1, 7$
Elements in $B\,$ only: $2, 9$
Elements in $C\,$ only: $4, 12$
Elements in $\cap B\,$ only: 3
Elements in $\cap C\,$ only: 11
Elements in $\cap C\,$ only: 10
Elements in $\cap B \cap C$ : $5, 8$
Elements outside the circles: 6

List the members of $\cap B$

[1]

A number is chosen at random from $E\mathcal{E}$ . Find $\cup C)$

[2]

Venn Diagrams Questions

Practise Edexcel GCSE Maths Venn Diagrams with exam-style questions for Foundation and Higher tier. 52 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.