IB MATH STUDIES SL 1: IB Questions on Sets and Venn Diagrams
1.
The universal set U is defined as the set of positive integers less than 10. The subsets A and B
are defined as:
A = {integers that are multiples of 3}
B = {integers that are factors of 30}
(a)
(b)
List the elements of
(i)
A;
(ii)
B.
Place the elements of A and B in the appropriate region in the Venn diagram below.
U
A
B
(Total 4 marks)
2.
In the Venn diagram below, A, B and C are subsets of a universal set U = {1,2,3,4,6,7,8,9}.
U
B
2
7
3
9
8
A
4
1
6
C
List the elements in each of the following sets.
(a)
AB
(b)
ABC
(c)
(A’  C)  B
(Total 8 marks)
1
3.
The following Venn Diagram shows the sets U, A, B and C.
U
B
A
C
State whether the following statements are true or false for the information illustrated in the
Venn Diagram.
(a)
AC=
(b)
CB=C
(c)
C  (A  B)
(d)
A  C
(Total 8 marks)
4.
Given
the set of integers,
the set of rational numbers,
(a)
Write down an element that belongs to

.
(b)
Write down an element that belongs to

.
(c)
Write down an element that belongs to
(d)
Use a Venn diagram to represent the sets
the set of real numbers.
.
,
and
.
(Total 6 marks)
2
5.
In each of the Venn diagrams, shade the region indicated.
(a)
(b)
(c)
(d)
AB
A
B
A
B
A
B
A
B
The complement of (A  B)
The complement of (A  B)
A  (B  C)
C
(Total 4 marks)
3