Edexcel IGCSE Math A 1.5 set language and notation

Use set-notation questions to list members, complete Venn diagrams and calculate counts from unions, intersections and complements.

Exam points

List members from unions, intersections, complements and empty-set statements.
Complete two- or three-set Venn diagrams from totals and region information.
Use Venn regions to find n(A), n(A ∩ B) or counts outside named sets correctly.

Covered syllabus points

1.5.A The definition of a set 1.5.B Set notation 1.5.C Universal and empty sets 1.5.D Complements of sets 1.5.E Venn diagrams to represent sets

[Maximum number: 3]

Here is a Venn diagram.

Figure for Question 1.5 Set language and notation question 1 — Edexcel IGCSE Math A Foundation

List the members of the set

(a)

[ 1 ]

(b)

$A \cap B$

[ 1 ]

(c)

$(A \cup B)^{\prime}$

[ 1 ]

[Maximum number: 5]

$20 \mathscr{E}=\{1,2,3,4,5,6,7,8,9,10\}$ $A=\{$ factors of 6 $\}$ $B=\{$ prime numbers $\}$

(a)

(a) List the members of the set
(i) $A \cup B$

[ 1 ]

(b)

$A^{\prime}$

Harpreet states that $A \cap B=\varnothing$
Harpreet is incorrect.

[ 1 ]

(c)

Explain why.
C is a set with 4 members such that
the set $A \cap C$ has 2 members
the set $B \cap C$ has 2 members
Set $A \cap C$ and set $B \cap C$ have no members in common.

[ 1 ]

(d)

List the 4 members of set C

[ 2 ]

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Covered syllabus points

1.5 Set language and notation question 1

Question (a)

Question (b)

Question (c)

1.5 Set language and notation question 2

Question (a)

Question (b)

Question (c)

Question (d)