Free Printable Sets and Subsets Practice

1.

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

2.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

14

c)

24

d)

2

3.

Which of the following is a well - defined set?

a)

a set of good politicians

b)

a set of heart-breaking KDramas

c)

a set of award winning shows

4.

Which of the following are the elements of the A={x/x is a whole number}

a)

{2, 4, 6}

b)

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

c)

{1, 2, 3, 4, 5,...}

5.

What is the set builder notation for B = {9, 18, 27, 36, 45, 54,...}

a)

B = {x/x is a multiple of 9}

b)

B = {x/x is a power of 9}

6.

What is the cardinality of the set below?

P\ =\left\{\phi\right\}

a)

0

b)

1

c)

2

7.

Write the following solution in set builder notation:

x ≥ -2

a)

{ x | x ≥ 2 }

b)

{ x | x ≥ -2 }

c)

{ x ≥ -2 }

d)

{ x | x ≤ -2 }

8.

Write the following solution in set builder notation:

y > 10

a)

{ y > 10 }

b)

{ y | y > 10 }

c)

{ y | y < 10 }

d)

( -0, 10 )

9.

Which answer is an example of a finite set?

a)

{prime numbers}

b)

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

c)

{perfect squares between 50 and 80}

d)

{odd integers}

10.

Which sets are equal?

a)

P = {duck} and Q = {DUCK}

b)

A = {a, r, m} and B = {r, a, m}

c)

M = {t, e, a} and N = {e, a, t, s}

d)

X = {e, i} and Y = {vowels in "oranges"}

11.

What does this symbol "∉" mean?

a)

Is not an intersection

b)

Is not a member of

c)

Not the universal set

d)

Empty set

12.

Choose the correct symbol.

m _____ {f, e, e, t}

a)

$\subset$

b)

$\in$

c)

$=$

d)

$\notin$

13.

Determine whether the following is a well-defined set or not.

The set of beautiful beaches.

a)

Well-defined

b)

Not Well-defined

14.

Determine whether the following is a well-defined set or not.

The set of composite numbers greater than 30.

a)

Well-defined

b)

Not well-defined

15.

Determine whether the following is a well-defined set or not.

The set of 70 years old people.

a)

Well-defined

b)

Not Well-defined

16.

Fill in the blank space with $\in$ or $\notin$ to make the following statement true.

5\ _{-\ }\left\{x\ :\ x\ is\ a\ multiple\ of\ 5\right\}

a)

$\in$

b)

$\notin$

17.

Fill in the blank space with $\in$ or $\notin$ to make the following statement true.

0 ____ {2000}

a)

$\in$

b)

$\notin$

18.

List the element of A.

A = {x : x is a positive odd number smaller than 10}

Answer:
A = { _ , _, _, _, _ }

(a)

19.

Write the following using set builder notation.

B = {1, 4, 9, 16, 25}

a)

B = { x : x < 26, x is a cube number}

b)

B = { x : x ≤ 25, x is a square number}

20.

Write the following using set builder notation.

C = {5, 6, 7, 8, 9}

a)

$C\ =\ \left\{x:\ 4<x<10,\ x\ is\ an\ integer\ number\right\}$

b)

$C\ =\ \left\{x:\ 5\le x<9,\ x\ is\ an\ integer\ number\right\}$

21.

Write the following using set-builder notation.

H = {January, June, July}

a)

C = {x: x is name of month in a year}

b)

C = {x : x is name of month start with J}

22.

What are the numbers in a set called?

a)

options

b)

elements

c)

parts

23.

True or False? {A,B} is subset from {A,B,C,D}

a)

True

b)

False

24.

True or false? {1,2,3,4} is subset from {1,2,3,4,5,6,7,8,9}

a)

True

b)

False

25.

True or false? {R,G,B} is a proper subset from {R,G,B}.

a)

True

b)

False

26.

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.

a)

A = {2, 4}

b)

B = {13, 7, 9, 11, 5, 3, 1}

c)

C = {2, 3, 4, 5}

d)

D = {0}

27.

Give me an example of the subset of

A = { car, airplane. train}

a)

{boat}

b)

{motorbike, car}

c)

{car, train}

d)

{bicycle, train

28.

How many subsets does set A = { red, blue} has?

a)

1

b)

2

c)

3

d)

4

29.

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

a)

∅

b)

0

c)

itself

d)

the real numbers

30.

Let A = {2, 3, 4, 5, 6, 7}

B = {2, 4, 7, 8)

C = {2, 4}.

Which of the following mathematical statements is true?

a)

B ⊂ C

b)

A ⊂ C

c)

C ⊂ A

d)

A ⊂ B

31.

How many subsets will this set have?

A= {a, b, c}

a)

8

b)

6

c)

3

d)

0

32.

Which of the following means proper subset?

a)

$\subset$

b)

$\subseteq$

c)

$\in$

d)

=

33.

Which of the following is the symbol for element of?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

34.

Which of the following sets has 4 elements?

a)

A = { x/x is an odd number }

b)

B = { x/x is a vowel }

c)

C = {x/x is an even number between 1 and 9}

d)

D = {x/x is an even number from 2 to 10}

35.

What is wrong with the set listed below?

D = {m, a, t, h, e, m, a, t, i, c, s}

a)

It is not written in roster notation.

b)

A capital letter is used to represent this set.

c)

The objects in this set are not unique.

d)

Nothing is wrong with this set

36.

If A = { x/x is a vowel }

and B = { 1, 2, 3, 4, 5}

Which of the following statements is true?

a)

A = B

b)

n(A) = B

c)

A = n(B)

d)

n(A) = n(B)

37.

Which of the following statements is correct?

a)

All equal sets are equivalent sets.

b)

All equivalent sets are equal sets.

c)

All sets are equal.

d)

All sets are equivalent.

38.

What is correct symbol for empty set?

a)

{0}

b)

$\left\{\phi\right\}$

c)

$\infty$

d)

$\phi$

39.

How many subsets does set A have?

A = { red, blue}

a)

1

b)

2

c)

3

d)

4

40.

True or False:

If

P = {3, 5, 7, 9, 11}

Q = {9, 11, 13}

R = {3, 5, 9} S = {13, 11}

then Q ⊂ P.

a)

True

b)

False

Sets and Subsets Practice

Total questions: 40

Worksheet time: 53mins

Similar Resources on Wayground