CAIE IGCSE Mathematics Extended E1.2 Sets Questions

Practise completing and shading Venn diagrams and interpreting unions, intersections, complements and set cardinality in notation.

Exam points

translate unions, intersections and complements into the correct region of a Venn diagram
complete missing Venn-region counts using the set total and all overlapping regions
evaluate n(A), n(A ∩ B) or a complemented set by summing only the required regions

[Maximum number: 3]

$\mathrm{n}(\mathscr{E})=20, \mathrm{n}(A \cup B)^{\prime}=3, \mathrm{n}(A)=10$ and n(B)=13.
The Venn diagram shows some of this information.

Find

(a)

$\mathrm{n}(A \cap B)$

[ 2 ]

(b)

$\mathrm{n}\left(A^{\prime} \cap B\right)$ .

[ 1 ]

[Maximum number: 1]

$\mathscr E=\{x:1\leqslant x\leqslant20\}$ $E=\{\text{even numbers}\}$ $M=\{\text{multiples of }5\}$

$y\notin E$ .
Write down a possible value of y.

An odd number or decimal in the range $1\leqslant x\leqslant20$

[Maximum number: 1]

In the Venn diagram, shade the region $A\cap B'\cap C$ .

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