CAIE IGCSE Mathematics Core C1.2 Sets Questions

Practise using two-set Venn diagrams and set notation to place elements, count complements and describe shaded or excluded regions.

Exam points

complete a two-set Venn diagram from counts, listed elements or survey information
find n(A), n(A') or a contextual total by reading the correct Venn region
describe shaded or contextual regions using union, intersection or complement notation

Covered syllabus points

C1.2.1 Understand and use set language, notation and Venn diagrams to describe

[Maximum number: 1]

The Venn diagram shows information about the number of students in a class who like apples ( A ) and bananas ( B ).

Figure for Question 1 — CAIE IGCSE Mathematics Core

Work out the number of students who like bananas.

[Maximum number: 4]

(a)

135 girls are asked if they like soccer (S) and if they like hockey (H).
$n(S)=53,\quad n(H)=68,\quad n(S\cup H)=110$

[ 4 ]

(i)

Complete the Venn diagram.

Figure for Question (i) — CAIE IGCSE Mathematics Core

[ 3 ]

Figure for Answer to Question (i) — CAIE IGCSE Mathematics Core

Correct Venn diagram

B1 for 11
B1 for 25
B1 for total in S equals 53 and total in H equals 68 provided $S\cap H\ne\varnothing$

(ii)

Write down $n(S\cap H)$ .

[ 1 ]

11

FT their $S\cap H$

[Maximum number: 2]

140 students choose which subjects they want to study.
- 122 students choose biology ( B ).
- 55 students choose chemistry ( C ).
- 2 students do not choose biology and do not choose chemistry.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Complete the Venn diagram.

Figure for Answer to Question 3 — CAIE IGCSE Mathematics Core

Completed Venn diagram
B1 for 2 or 3 correct values in the correct places, or for the 2 correctly positioned and total in B$ equals 122 and total in $C equals 55 provided $B\cap C\neq\varnothing$

All question bank results loaded

Covered syllabus points

Question 1

Question 2

Question (a)

Question (i)

Question (ii)

Question 3