GCSE · Venn diagrams & set notation

Set notationExam-style questions

The formal language of sets — the universal set ξ, n(A) for a count, union A∪B ("in either, or both"), intersection A∩B, the complement A′, and combined expressions such as A∩B′ and (A∪B)′ — read as names for regions of a Venn diagram.

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11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
$A = \{1, 2, 3, 4\}$ and $B = \{3, 4, 5, 6\}$ . List the elements of $A \cap B$ .
Level 1 · 1 markTry it
2
$A = \{1, 2, 3, 4\}$ and $B = \{3, 4, 5, 6\}$ . List the elements of $A \cup B$ .
Level 1 · 1 markTry it
3
$\xi = \{1, 2, 3, 4, 5, 6, 7, 8\}$ and $A = \{2, 4, 6, 8\}$ . List the elements of $A'$ .
Level 1 · 1 markTry it
4
$\xi = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}$

$A = \{\text{prime numbers}\}$

$B = \{\text{odd numbers}\}$

(a) List the members of $A \cap B$ .

(b) List the members of $A \cup B$ .

(c) Find $n(B')$ .
Level 2 · 3 marksTry it
5
$30$ students were asked whether they play hockey ( $H$ ) and whether they play netball ( $N$ ).

The Venn diagram shows the results.(a) Write down $n(H \cap N)$ .

(b) Find $n(H \cup N)$ .

(c) Write down $n(H \cap N')$ .
Level 3 · 4 marksTry it

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