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Worksheets

Rational vs Irrational Numbers

Total questions: 26

Worksheet time: 7hrs 30mins

Name
Class
Date
1.
What kind of number is -3?
a)
rational
b)
irrational
c)
whole
d)
natural
2.
What kind of number is   π   ?
a)
rational
b)
irrational
c)
whole
d)
integer
3.
Is 3.74 a rational number?
a)
yes
b)
no
4.
Is -5/8 a rational number?
a)
yes
b)
no
5.
A REPEATING decimal is what type of number?
a)
Rational 
b)
Irrational
6.
The square root of 2 is an irrational number because...
a)
All square roots are irrational
b)
The answer is a decimal that never stops
c)
Two is an even number
d)
The answer is 1
7.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

8.
-17.5
a)
Rational 
b)
Irrational
9.
4.032
a)
Rational 
b)
Irrational
10.
A decimal that stops is which type of number? Example: 2.75
a)
Rational
b)
Irrational
11.

 183\frac{18}{3}  

a)

Rational

b)

Irrational

12.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
13.

Which of the following number is rational?

a)

127\sqrt{127}

b)

π\pi

c)

2.52.5

d)

8.98763...8.98763...

14.

Which of the following numbers is irrational?

a)

50\sqrt{50}

b)

36\sqrt{36}

c)

169\sqrt{169}

d)

225\sqrt{225}

15.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.36‾1\overline{.36}

16.

Which of the following numbers is not rational?

a)

−3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

17.

Which of the following numbers is rational?

a)

7\sqrt{7}

b)

23\frac{2}{3}

c)

3.1456289...

d)

π\pi

18.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
19.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
20.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
21.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
22.

The √20 is between which two consecutive integers?

a)

5 & 6

b)

3 & 4

c)

4 & 5

23.

Between which two consecutive whole numbers is the√200?

a)

14 and 15

b)

15 and 16

c)

199 and 201

24.

Which number has a square root that is between 7 and 8?

a)

48

b)

70

25.
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
26.
Which of the following contains only rational numbers?
a)
2.5, .764567..., 1/2, √27
b)
π, √4, √16, 7.7
c)
6.7, 4.45, -3, 
d)
5, -4.5, √13, √-9