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CBSE - Class 9 Mathematics Number Systems Worksheet

1.
Choose the correct option: Every rational number is ________.
A) A natural number B) An integer C) A real number D) A whole number
2.

 -1/2 is a Natural Number

A)

TRUE

 B)

FALSE
3.

Every whole number is an integer

A) True B) False
4.

3Q.Every rational number is a

A)

Real no

 B)

Whole no

 C)

Integer

 D)

Natural no
5.

The 5 irrational numbers between  and  are

A)

2.01010101..., 2.02020202..., 2.03030303..., 2.04040404..., 2.05050505...

 B)

2.01001000100001..., 2.56556555655556..., 2.54123123312333123333..., 2.991999199991..., and 2.998 

 C)

2.01001000100001..., 2.56556555655556..., 2.54123123312333123333..., 2.991999199991..., and 2.123122312223122223...
6.
Express $0.99999 ....$ in the form $\frac{p}{q}$. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
7.
Simplify :
(iv) $7^{\frac{1}{2}} \cdot 8^{\frac{1}{2}}$
8.

How many factors 120 have?

A)

12

 B)

8

 C)

16

 D)

none of these
9.
State whether the following statements are true or false. Give reasons for your answers.
(ii) Every integer is a whole number.
10.
State True/False: The sum of two irrational numbers is always an irrational number.
A) true B) false
11.

The value of 1/ when = 3.162 is

A) .3162 B) 31.62 C) .03162 D) 316.2
12.

Irrational number after √17 but before √25 are

A)

4.102100210002...

 B)

5.001000100001...

 C)

3.969569556...

 D)

4.93973977339777333...
13.

(√12+√10-√2) is

A) a positive rational number B) equal to zero C) an irrational number D) a negative integer
14.

If 2(x+1) +2(x-1), find the value of x

15.

Every rational number is natural number

A) True B) False
16.

2Q. Which of the following is an rational number?

A)

√196

 B)

√31

 C)

0.7656656665….

 D)

√180
17.
Find :
(ii) $32^{\frac{2}{5}}$
18.

A)

a

 B)

b

 C)

c

 D)

d
19.

A)

a

 B)

b

 C)

c

 D)

d
20.

 -1/2 is a Whole Number - True or False. Give Reason

CBSE - Class 9 Mathematics Number Systems Worksheet

Answers

1.
Option C
2.
Option B
3.
Option A
4.
Option A
5.
Option C
8.
Option C

Solution:

total factors of 120= 16

10.
Option B
11.
Option A
12.
Option A
13.
Option C

14.

x=7

15.
Option B
16.
Option A
18.
Option B
19.
Option B
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