wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Sets and Real Numbers

Total questions: 26

Worksheet time: 52mins

Name
Class
Date
1.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
2.
What is set of numbers that includes all positive and negative whole numbers?
a)
Whole Numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
3.
What is the set of numbers that includes π?
a)
Rational Numbers
b)
Irrational Numbers
4.

All natural numbers and zero.

(0, 1, 2, 3, 4, 5, ......)

a)

Rational Numbers

b)

Irrational Number

c)

Integers

d)

Whole Numbers

5.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
6.
Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B
a)
{1, 3, 4}
b)
{1, 2, 3, 4, 6,8}
c)
{4}
7.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
8.

If Set A = {MICHAEL} and Set B = {JORDAN}, what is A ⋃ B?

a)

{MICHAELJORDAN}

b)

{MICHAELJORDN}

c)

{A}

d)

{ }

9.

Let C={2, 5, 7, 10} and B={1, 3, 5, 7, 9}. Find C ∩ B

a)

{1,2,3,5,7,9,10}

b)

{2,4,5,6,7,8,10}

c)

{5,7}

10.

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

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

11.

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}

12.

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}

13.

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}

14.

From the above Venn diagram, what is the set 

VTV\cap T  

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

15.

From the above Venn diagram, what is the set 

V TV\ \cup T  

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{blair, erin, francis, ira}

16.

AC can be read as.....A\cap C\ can\ be\ read\ as.....  

a)

intersection of A and C

b)

union of A and C

c)

EMPTY SET

17.

D = ϕD\ =\ \phi  it can be read as .....

a)

Set D is an empty set

b)

Set D is infinity

c)

Set D equals zero

d)

Set D is the union of Set D

18.

Left Pocket (L) = {pencils, erasers, pens}

Right Pocket (R) = {gloves, paper, coins, phone}

What is L ∪ R?

a)

b)

{gloves, paper, coins, phone}

c)

{pencils, erasers, pens}

d)

{pencils, erasers, pens, gloves, paper, coins, phone}

19.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ A

a)

b)

20.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ C

a)

\subset  

b)

⊈\not\subseteq  

c)

\subseteq  

d)

\in  

21.

Which of the following is the symbol for element of?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

22.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

23.

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

24.

Which of the following shows F = {odd numbers from 3 to 15}?

a)

F = {2, 4, 6, 8, 10, 12, 14}

b)

F = {3, 5, 7, 9, 11, 13, 15 }

c)

F = {1, 3, 5, 7, 9, 11, 13, 15}

d)

F = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

25.

A set whose elements are countable.

a)

finite

b)

infinite

c)

equal

d)

equivalent

26.

Which of the following set is an example of empty set?

a)

a. H= {quadrilaterals}

b)

b. C= {1, 2, 3, 4, 5, 6, 7, 8, …}

c)

c. D= {days of a week starts with A}

d)

d. D= {days of a week ends with y}