Venn Diagrams

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Hard

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

$E={10,20,30,40,50,60,70,80,90,100}\mathcal{E} = \{10, 20, 30, 40, 50, 60, 70, 80, 90, 100\}$
Elements in $X\,$ only: 10
Elements in $Y\,$ only: 20
Elements in $Z\,$ only: 30
Elements in $\cap Y\,$ only: 40
Elements in $\cap Z\,$ only: 50
Elements in $\cap Z\,$ only: 60
Elements in $\cap Y \cap Z$ : 70
Elements outside the circles: $80, 90, 100$

List the members of $\cap Y$

[1]

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

[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.