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Worksheets

Sets Revision

Total questions: 35

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
2.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

3.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
4.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
5.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

6.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

7.

Which of the following statements are true for the Venn diagram shown?

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint sets

e)

B is a superset of A

8.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
9.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

10.

Which of the following is the symbol for element of?

a)

b)

 \subset  

c)

 \in  

d)

 ⊄\not\subset  

11.

Which of the following means any subset?

a)

 \subset  

b)

 \subseteq  

c)

 \in  

d)

=

12.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

\forall

d)

A'

13.

Every set has _____ as one of its subsets (select all that apply.)

a)

b)

0

c)

itself

d)

the real numbers

14.

Which is the correct set notation for the complement of A union B ?

a)

{12, 14, 15, 18, 21}

b)

{10, 11, 12, 14, 15, 18, 21}

c)

{10, 11, 13, 16, 17, 19, 20}

d)

{12, 14, 15}

15.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
16.
What statement does the shaded region represent?
a)
A or B
b)
A and not B
c)
Not A
d)
Not A or B
17.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
18.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
19.

List all the elements in A= {letters in the word "BOOK"}.

a)

A= {B,O,K}

b)

A= {B,O,O,K}

c)

A= {B,K}

d)
20.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

21.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

22.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

23.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

24.

How many subsets will this set have? A= {a, b, c} ?

a)

8

b)

6

c)

3

d)

0

25.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
26.
Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?
a)
Q = { S, T, R }
b)
Q = { I, E }
c)
Q = { S, I, S, T, E, R }
d)
Q = { S, I, T, E, R }
27.
Where would you place the number -9 on the diagram?
a)
Integers
b)
Whole 
c)
Natural 
d)
Rational
28.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

29.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

30.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

31.

Use the Venn diagram to identify the statement that is true.

a)

2 ∈ P ∩ Q

b)

5 ∈ Q

c)

{5,7} ⊆ P

d)

P U Q = Q

32.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

33.

List the elements of A ∩ B'

a)

{2,3}

b)

{5,9}

c)

{2,3,6,7,8}

d)

{1,2,3,4,5,6,7,8}

34.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}

35.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}