Set Notation & Venn Diagrams (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

16 mins4 questions
1a
3 marks

calligraphic E space equals open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space 11 comma space 12 close curly brackets
A equals open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 6 comma space 12 close curly brackets
B equals open curly brackets 2 comma space 3 comma space 5 comma space 7 comma space 11 close curly brackets

Complete the Venn diagram to show this information.

Venn diagram with two overlapping circles labelled A and B, enclosed in a rectangle labelled E, representing a universal set.
1b
2 marks

List the members of the set

(i) A space intersection space B

(ii) B apostrophe

2
3 marks

calligraphic E equals open curly brackets 5 comma space 6 comma space 7 comma space 8 comma space 9 comma space 10 comma space 11 comma space 12 comma space 13 comma space 14 comma space 15 comma space 16 comma space 17 comma space 18 comma space 19 comma space 20 close curly brackets

A equals open curly brackets odd space numbers close curly brackets space space space space space space space B equals open curly brackets multiples space of space 5 close curly brackets

Complete the Venn diagram for this information.

Venn diagram with two overlapping circles labelled A and B, enclosed in a rectangle representing the universal set E.
3a
1 mark

Here is a Venn diagram.

Venn diagram with sets A and B. A contains 7, 9, 11, 13; B contains 10, 14, 16; intersection has 5, 15. Universal set E includes 6, 8, 12.

List the members of the set A

3b
1 mark

List the members of the set A intersection B

3c
1 mark

List the members of the set open parentheses A union B close parentheses apostrophe

4a
3 marks

xi space equals space open curly brackets 2 comma space 4 comma space 6 comma space 8 comma space 10 comma space 12 comma space 14 comma space 16 comma space 18 comma space 20 comma space 22 comma space 24 comma space 26 comma space 28 comma space 30 close curly brackets
A equals space open curly brackets Multiples space of space 3 close curly brackets
B equals open curly brackets Factors space of space 12 close curly brackets

Complete the Venn diagram to show this information.

Venn diagram with two overlapping circles labelled A and B, inside a rectangle labelled with a Greek letter ξ at the top left.
4b
1 mark

List the members of the set A intersection B.

4c
1 mark

Find straight n open parentheses A union B close parentheses