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CBSE - Class 9 Mathematics Number Systems Worksheet

1.

Rational NUmbers are having decimal expansion as

a.

Either Terminating or 'Not Terminating and Not Recurring'

 b.

Either Terminating or 'Not Terminating But Recurring'
2.

Which numbers can be expressed in the form of p/q

a.

√2/(2√2)

 b.

(7√7+0.142142...) * √7-(5+√7)*0.142

 c.

(7√7+0.142142...) * √7-(5+√7)*0.142142...

 d.

0.121121112...
3.

Find the Decimal Representation of -16/45

a.

0.35 (Recurring Bar on 5)

 b.

0.35 (Recurring Bar on 35)

 c.

-0.35 (Recurring Bar on 5)

 d.

-0.35 (Recurring Bar on 35)
4.
State True/False: The product of two irrational numbers is not always an irrational number.
a. true b. false
5.
Express 1.32 + 0.35 as a fraction in simplest form.
6.
Rationalise the denominators of the following:
(i) $\frac{1}{\sqrt{7}}$
7.

a.

a

 b.

b

 c.

c

 d.

d
8.

Determine whether b is rational or irrational number if b2=5?

9.

1/2=0.5 is a Rational Number - TRUE or FALSE

a.

FALSE

 b.

TRUE
10.
State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
11.

Find 125(-1/3)

12.

 -1/2 is a Natural Number

a.

TRUE

 b.

FALSE
13.
Insert a rational & irrational number between 2 & 3.
14.

a.

a

 b.

b

 c.

c

 d.

d
15.

zero is an odd number

a. True b. False
16.
From the choices given below choose the co-prime numbers.
a. 2, 3 b. 2, 4 c. 2, 6 d. 2, 110
17.
State True/False: Every surd is an irrational number but every irrational number is not a surd.
a. true b. false
18.

Every rational number is whole number

a. True b. False
19.

99/99 is a Whole Number

a.

TRUE

 b.

FALSE
20.

8Q. The sum  of 2 irrational no.s  is

a.

Rational

 b.

Irrational

 c.

can be rational or irrational

Worksheet Answers

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

5.
(166/99)
7.
Option D

8.

b=√5 so it is an irrational number

9.
Option B

11.

0.2

12.
Option B

13.
Rational number 2.5 & irrational number ?5
14.
Option B
15.
Option B
16.
Option A
17.
Option A
18.
Option B
19.
Option A
20.
Option C
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