CAIE IGCSE Mathematics Core C1.2.1 Understand and Use Set Language Notation and Venn Diagrams to Describe Questions

Work through Core CAIE IGCSE Mathematics set questions by placing elements in Venn diagrams, writing set notation and finding set cardinalities.

Exam points

represent sets and subsets in Venn diagrams and place elements in the correct regions
use set notation for intersections, complements and unions
find the number of elements in a set or an intersection from a Venn diagram

[Maximum number: 4]

$21 \quad \mathscr{E}=\{\mathrm{a}, \mathrm{b}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{h}, \mathrm{i}, \mathrm{m}, \mathrm{p}, \mathrm{t}, \mathrm{u}\}$ $X=\{\mathrm{a}, \mathrm{e}, \mathrm{i}, \mathrm{u}\}$ $Y=\{\mathrm{d}, \mathrm{e}, \mathrm{m}, \mathrm{p}, \mathrm{t}, \mathrm{u}\}$

(a)

Use this information to complete the Venn diagram.

Figure for Question (a) — CAIE IGCSE Mathematics Core

[ 2 ]

(b)

List the elements of $X \cap Y$ .

[ 1 ]

e, u

FT their $X\cap Y$ .

(c)

Find $\mathrm{n}\left(X^{\prime}\right)$ .

[ 1 ]

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CAIE IGCSE Mathematics Core C1.2.1 Understand and Use Set Language Notation and Venn Diagrams to Describe Questions question 1

Question (a)

Question (b)

Question (c)