Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Rational vs. Irrational

Total questions: 22

Worksheet time: 50mins

Name
Class
Date
1.
Is √2 Irrational?
a)
Yes
b)
No
2.
The square root of 57 is ...
a)
rational 
b)
irrational 
3.
Given the following radical, decide if it is rational or irrational:
√121
a)
Rational
b)
Irrational
4.
Which number is an irrational number?
a)
-15 / 7
b)
square root of 88
c)
square root of 25
d)
0.3333....
5.
A perfect square is which type of number?
a)
Rational 
b)
Irrational
6.
A non-perfect square is which type of number?
a)
Rational
b)
Irrational
7.
What kind of number is   π   ?
a)
rational
b)
irrational
c)
whole
d)
integer
8.
Is 3.74 a rational number?
a)
yes
b)
no
9.
Is -5/8 a rational number?
a)
yes
b)
no
10.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
11.
The area of a square painting is 81 cm2.  What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
12.
√121
a)
12
b)
10
c)
11
d)
3
13.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
14.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
15.
5/2
a)
Rational
b)
Irrational
16.
Pi
a)
Rational
b)
Irrational
17.
Convert 3/4 to a decimal.
a)
.34
b)
.60
c)
.43
d)
.75
18.
What is .33 as a fraction?
a)
3/3
b)
33/100
c)
.33/10
d)
.33/100
19.

Determine if the  324\sqrt{324} is rational or irrational.

a)

Rational

b)

Irrational

20.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

π\pi

d)

102\frac{10}{2}

e)

10\sqrt{10}

21.

Select ALL numbers that are rational.

a)

55

b)

289\sqrt{289}

c)

6\sqrt{6}

d)

π\pi

e)

6796\frac{7}{9}

22.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.36‾1\overline{.36}

d)

−0.19-0.19