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Edexcel IGCSE Math B 2.H Venn diagrams

Practise Venn diagram questions by placing values in the correct regions, using totals and reading intersections or outside regions accurately.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • Find numbers in intersections, outside regions or all-three-set regions.
  • Use totals and region equations to solve for missing values such as x.
  • Interpret membership statements such as not in a club or in all three sets.

2.H Venn diagrams question 1

[Maximum number: 4]
Figure for Question 2.H Venn diagrams question 1 — Edexcel IGCSE Math B

E={2,3,4,5,6,7,8,9,10}\mathscr E=\{2,3,4,5,6,7,8,9,10\}P={prime numbers}P=\{\text{prime numbers}\}E={even numbers}E=\{\text{even numbers}\}F={factors of 36}F=\{\text{factors of }36\}

70 children were asked which flavours of ice cream they like from chocolate (C), vanilla (V) and strawberry (S).
5 children like chocolate and vanilla and strawberry.
15 like strawberry only.
12 like chocolate only.
8 like none of the flavours.
6 like strawberry and vanilla.
11 like chocolate and vanilla.
21 like strawberry.
35 like vanilla.

Question (a)

(a)

Show all of this information on the Venn diagram opposite, giving the number of students in each appropriate subset.

[ 3 ]

Question (b)

(b)

Find:

[ 1 ]

Question (i)

(i)

n(C∩V∩S′)\mathrm n(C\cap V\cap S')

[ 1 ]
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