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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.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

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 set1.5.B Set notation1.5.C Universal and empty sets1.5.D Complements of sets1.5.E Venn diagrams to represent sets1.5.HA Algebraic sets and subsets1.5.HB Venn diagrams and numbers of elements1.5.HC The notation n(A) for the number of elements in the set1.5.HD Sets in practical situations

1.5 Set language and notation question 1

[Maximum number: 5]

7E={23,24,25,26,27,28,29,30,31,32,33,34}7 \mathscr{E}=\{23,24,25,26,27,28,29,30,31,32,33,34\}A={A=\{ even numbers }\}B={23,29,31}B=\{23,29,31\}C={C=\{ multiples of 3}\}

Question (a)

(a)

List the members of the set

[ 2 ]

Question (i)

(i)

B∪CB \cup C

[ 1 ]

Question (ii)

(ii)

A′∩CA^{\prime} \cap C

[ 1 ]

Question (b)

(b)

Is it true that B∩C=∅B \cap C=\varnothing ?

Tick ( ✓ ) one of the boxes below.

Figure for Question (b) — Edexcel IGCSE Math A Higher

Give a reason for your answer.

The set D has 4 members and is such that D∩(A∪C)=∅D \cap(A \cup C)=\varnothing

[ 1 ]

Question (c)

(c)

List the members of set D

[ 2 ]

1.5 Set language and notation question 2

[Maximum number: 3]

14E={14 \mathscr{E}=\{ positive integers less than 20}\}A={x:x<12}A=\{x: x<12\}B={x:7⩽x<16}B=\{x: 7 \leqslant x<16\}

Question (a)

(a)

List the members of A∩BA \cap B
C is a set such that C⊂AC \subset A and n(C)=3
Given that all members of C are even numbers,

[ 2 ]

Question (b)

(b)

list the members of one possible set C.

[ 1 ]
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