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Sets and Venn Diagrams Quiz

Total questions: 30

Worksheet time: 14mins

Name
Class
Date
1.

What is a set?

a)

A collection of objects

b)

A single object

c)

A mathematical operation

d)

A type of number

2.

What does the symbol | S | represent?

a)

The union of set S

b)

The complement of set S

c)

The set itself

d)

The number of elements in set S

3.

Which of the following is an example of a well-defined set?

a)

{ nice weather }

b)

{ favorite colors }

c)

{ even numbers }

d)

{ tall people }

4.

What does the intersection of two sets A and B represent?

a)

Elements in neither A nor B

b)

Elements in A and B

c)

Elements in A but not in B

d)

Elements in A or B

5.

If A = { 1, 2, 3 } and B = { 2, 3, 4 }, what is A ∩ B?

a)

{ 1, 4 }

b)

{ 4 }

c)

{ 2, 3 }

d)

{ 1, 2, 3 }

6.

What is the complement of a set S?

a)

The union of S with another set

b)

All elements in the universal set not in S

c)

All elements in S

d)

The intersection of S with another set

7.

Which of the following statements is true about subsets?

a)

Only empty sets can be subsets

b)

Subsets can have different elements

c)

Every set is a subset of itself

d)

No set can be a subset of itself

8.

What does the symbol ∅ represent?

a)

The universal set

b)

The empty set

c)

A subset

d)

An intersection

9.

In a Venn diagram, what does the overlapping region of two circles represent?

a)

The union of the two sets

b)

The intersection of the two sets

c)

The complement of the sets

d)

The empty set

10.

If A = { 1, 2, 3 } and B = { 4, 5, 6 }, what is A ∩ B?

a)

∅

b)

{ 1, 2, 3 }

c)

{ 4, 5, 6 }

d)

{ 1, 4 }

11.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

12.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

13.

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

a)

8

b)

6

c)

3

d)

0

14.
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}
15.
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
16.

What does this symbol ∩\cap   represent in set theory?

a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
17.

Set C is the set of whole numbers less than 9. Which of these is the correct C?

a)

C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

b)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

c)

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

d)

C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

18.

A set is a collection of specific, related and well-defined distinct objects.

a)

True

b)

False

19.

Which of the following is not an element of A = {b, g, 5, 8, 12}}

a)

c

b)

12

c)

g

d)

8

20.

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}

21.

Suppose A = {red, blue, yellow}, B = {Red, yellow, green}, and C = {green, red, purple}. Which set is equivalent to (A∪B)∩C\left(A\cup B\right)\cap C ?

a)

{purple}

b)

{red}

c)

{red, green}

d)

{yellow, purple}

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 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}
24.

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}

25.
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}
26.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

27.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

28.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

29.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

30.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither