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Edexcel IGCSE Math B 2.E complementary sets

Practise complement-set questions by identifying what is not in the named set and using totals to calculate missing values.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • Write or identify complements such as E′, C′ or (A ∪ B)′ from set notation.
  • Use complement counts such as n(C′) to form equations and find missing values.

2.E Complementary sets question 1

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Figure for Question 2.E Complementary sets 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.

Write down all the elements of:

E'

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