wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Module 1 Review: Irrational and Rational Numbers

Total questions: 22

Worksheet time: 28mins

Name
Class
Date
1.

What type of decimal does the following fraction create?

 218\frac{2}{18}   

a)

terminating

b)

repeating

c)

I don't know

d)

This fraction cannot be represented as a decimal

2.

Choose all the classifications that describe the following number:

 \pi  

a)

Rational 

b)

Irrational

c)

Real 

d)

pi

3.

 1155\frac{11}{55}  

Convert the fraction to a decimal

a)

 15\frac{1}{5}  

b)

0.2

c)

.5

d)

1.5

4.

Is 196 a perfect square?

a)

yes

b)

no

5.

Is 1 a perfect square?

a)

yes

b)

no

6.

 576\sqrt{576}  

(Use a calculator) 

(a)  

7.

 37293\sqrt{729}  

(NO calculator) 



(a)  

8.

 3643\sqrt{-64}  

(NO calculator) 



(a)  

9.

Is the square root of 10 rational or irrational?

(a)  

10.

Is the cube root of -8 rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

11.

Is  π + 1\pi\ +\ 1  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

12.

Is  (π)(3)\left(\pi\right)\left(3\right)  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

13.

Is  (2.5)(2)\left(2.5\right)\left(2\right)  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

14.

Is  45\frac{4}{5}  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

15.

Is  173\frac{17}{3}  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

16.

Is  21+10\sqrt{21}+10  rational or irrational?

a)

rational

b)

irrational

c)

neither

d)

both

17.

Is  1225\frac{12}{25}  a repeating or terminating decimal?

a)

repeating

b)

terminating

c)

neither

d)

both

18.

Find an integer between   2\pi  and  30\sqrt{30}  

a)

3

b)

4

c)

5

d)

5.4

19.

 x2 = 121x^2\ =\ 121  

Solve for x



(a)  

20.

Solve for x
 x2 = 81x^2\ =\ -81  





(a)  

21.

Solve for x
 x3 = 343x^3\ =\ -343  





(a)  

22.

Congratulations! You have reached the end of your practice quiz.

How are you feeling about Rational and Irrational numbers?

Give yourself a fist to five rating.

a)

1 - I don't understand at all

b)

2 - I need help

c)

3 - I need more practice

d)

4 - I mostly understand

e)

5 - I completely understand