Skip to content

Course home

Venn Diagrams

Venn Diagrams

MediumHard
12345678910111213141516171819202122232425262728
Question 10

A Venn diagram shows the following elements distributed across three sets XXX, YYY, and ZZZ, and the universal set E\mathcal{E}E:

  • E={10,20,30,40,50,60,70,80,90,100}\mathcal{E} = \{10, 20, 30, 40, 50, 60, 70, 80, 90, 100\}E={10,20,30,40,50,60,70,80,90,100}
  • Elements in X X\,X only: 10
  • Elements in Y Y\,Y only: 20
  • Elements in Z Z\,Z only: 30
  • Elements in X∩Y X \cap Y\,X∩Y only: 40
  • Elements in Y∩Z Y \cap Z\,Y∩Z only: 50
  • Elements in X∩Z X \cap Z\,X∩Z only: 60
  • Elements in X∩Y∩ZX \cap Y \cap ZX∩Y∩Z: 70
  • Elements outside the circles: 80,90,10080, 90, 10080,90,100
a.

List the members of X∩YX \cap YX∩Y

[1]
b.

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

[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.

Question bank