wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Rational and Irrational Numbers

Total questions: 25

Worksheet time: 21mins

Name
Class
Date
1.

_______ number can be written as a ratio where the numerator and denominator are integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

2.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

3.

__________ decimal is a decimal with a finite number of digits.

a)

A terminating

b)

A rational

c)

An irrational

d)

A repeating

4.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

5.

Which of these is an example of an integer?

a)

33

b)

3.3

c)

√3

d)

1∕3

6.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

7.

Which of these is an example of a terminating decimal?

a)

1⁄2

b)

1⁄3

c)

2⁄3

d)

1⁄7

8.

Identify the rational numbers. (Check all the box that apply)

a)

4\sqrt{4}

b)

π\pi

c)

3.53.5

d)

2\sqrt{2}

e)

23\frac{2}{3}

9.

A rational number can be written as a fraction.

a)

true

b)

false

10.

A terminating decimal is a decimal that...

a)

Never ends

b)

repeats a pattern

c)

ends

d)

never ends and never repeats

11.

Perfect Squares are irrational

a)

True

b)

False

12.

Select the irrational numbers

a)

 50\sqrt{50}  

b)

2

c)

 π\pi  

d)

2.3454128904

13.

All whole numbers are rational numbers.

a)

True

b)

False

14.

0.66666666666......is

a)

Rational

b)

Irrational

c)

Terminating Decimal

d)

Repeating Decimal

15.

-6 is

a)

Rational

b)

Irrational

16.

 23\sqrt{\frac{2}{3}}  

a)

Rational

b)

Irrational

17.
What type of number is π ?
a)
Rational
b)
Irrational
18.
√7
a)
Rational 
b)
Irrational
19.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
20.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
21.
A fraction is which type of number?
a)
Rational
b)
Irrational
22.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
23.

Is the following number rational or irrational?

0.141414141414...

a)

Rational

b)

Irrational

24.

Which of the following is rational?

a)

√2

b)

√150

c)

√144

d)

√10

25.

Is √2 rational or irrational?

a)

Rational

b)

Irrational