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Edexcel IGCSE Math B 2 Sets Question Bank

Practise reading set notation, listing elements, counting regions, and using Venn diagrams to organise information about groups.

Syllabus
First assessment 2018
Course
Math B 4MB1

Covered syllabus points

2.A Sets2.B Set language and notation2.C Union and intersection2.D Number of elements2.E Complementary sets2.F Subsets2.G Universal and null sets2.H Venn diagrams2.I Set symbols

2 Sets question 1

[Maximum number: 4]

15E={1,2,3,4,5,6,7,8,9}15 \mathscr{E}=\{1,2,3,4,5,6,7,8,9\}A={2,4,6,8}A=\{2,4,6,8\}B={1,3,5,7,9}B=\{1,3,5,7,9\}C={2,3,5,7}C=\{2,3,5,7\}

Question (a)

(a)

List the elements of the set

[ 3 ]

Question (i)

(i)

B∪CB \cup C

[ 1 ]

Question (ii)

(ii)

A′∩CA^{\prime} \cap C

[ 1 ]

Question (iii)

(iii)

(A∩B)′(A \cap B)^{\prime}
(3)

[ 1 ]

Question (b)

(b)

Explain why A∩B∩C=∅A \cap B \cap C=\varnothing

[ 1 ]

2 Sets question 2

[Maximum number: 8]
Figure for Question 2 Sets question 2 — 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)

Write down all the elements of:

[ 3 ]

Question (i)

(i)

E'

[ 1 ]

Question (ii)

(ii)

P∩F′P\cap F'

[ 1 ]

Question (iii)

(iii)

E∪FE\cup F

[ 1 ]

Question (b)

(b)

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

[ 3 ]

Question (c)

(c)

Find:

[ 2 ]

Question (i)

(i)

n(C)\mathrm n(C)

[ 1 ]

Question (ii)

(ii)

n(C∩V∩S′)\mathrm n(C\cap V\cap S')

[ 1 ]
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