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Worksheets

Real numbers

Total questions: 25

Worksheet time: 47mins

Name
Class
Date
1.

It is a number that can be written as a ratio in the for of  mn\frac{m}{n}  where m is an integer and n is a non-zero integer.

a)

Rational number

b)

Irrational number

c)

Integers

2.

Convert 0.66666... to a fraction.

a)

46\frac{4}{6}

b)

23\frac{2}{3}

c)

66669999\frac{6666}{9999}

3.
a)

23\frac{2}{3}

b)

23-\frac{2}{3}

c)

35\frac{3}{5}

4.
Find the best estimate for √18 .
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
5.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
6.

Express the fraction 79\frac{7}{9}   as a decimal.

a)

0.8

b)

0.88888...

c)

0.7

d)

0.777777...

7.

Express the fraction 83\frac{8}{3}   as a decimal.

a)

8.3

b)

2.666666...

c)

26.3333...

d)

0.3333...

8.

Change the following recurring decimal into a fraction.


Write your answer in its simplest form.

a)

47/90

b)

52/99

c)

47/99

d)

52/90

9.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

2/9

b)

22/99

c)

1/3

d)

2/99

10.
256 = ______
a)
163
b)
162
c)
16
d)
15
11.
a)
√32, √324, √101, √44
b)
√64, √121, √324, √361
c)
√64, √324, √361, √44
d)
√32, √44, √101, √64
12.
√196 = ______
a)
14
b)
142
c)
15
d)
152
13.
Which number is the square root of 324?
a)
182
b)
18
c)
√18
d)
18/2
14.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
15.

 25=x2\sqrt{25}=\sqrt{x^2}  
What is the answer for x?

a)

5

b)

10

c)

25

16.

 6425=y5\sqrt{\frac{64}{25}}=\frac{y}{5}  
What is y?

a)

4

b)

8

17.

 (14)2=\left(\frac{1}{4}\right)^2=  

a)

 18\frac{1}{8}  

b)

 116\frac{1}{16}  

18.

1, 4, 9, 16, 25, x, 49, 64....

What is x?

a)

27

b)

31

c)

36

d)

41

19.

 (113)2=(p3)2\left(1\frac{1}{3}\right)^2=\left(\frac{p}{3}\right)^2  
What is the best answer for p?

a)

1

b)

3

c)

4

20.
22 = _____
a)
2
b)
6
c)
4
d)
16
21.
121 = ______
a)
112
b)
12
c)
11
d)
112
22.
256 = ______
a)
163
b)
162
c)
16
d)
15
23.
192 = _____
a)
400
b)
360
c)
324
d)
361
24.
√196 = ______
a)
14
b)
142
c)
15
d)
152
25.

 12=21^2=2  

a)

TRUE

b)

FALSE