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CBSE Class 9 Mathematics Worksheet

Number Systems

1.

If x = , then find the value of (x+14/x)

2.

If x= & y=, find the value of x2+y2+xy

3.

Every rational number is  integer

A) True B) False
4.

5Q. The decimal representation of a irrational no can be

A)

Terminating

B)

Non terminating recurring

C)

Non terminating non recurring        

5.

If x= & y= find the value of x2-y2

6.

A)

a

B)

b

C)

c

D)

d

7.

Simplify (√5-√2)(√5+√2)

8.

Classify 1/√2 as a rational or irrational number

9.

22/10 and 11/5 are not equivalent rational numbers

A)

TRUE

B)

FALSE

10.

The number obtained on rationalising the denominator 1/(√7-2) is

A) (â??7+2)/3 B) (â??7-2)/3 C) (â??7+2)/5 D) (â??7+2)/45
11.

Show 0.235 (Recurring on 35) in p/q

A)

235/990

B)

233/990

C)

234/990

D)

231/990

12.

(-7+4√7-3√7) is

A) a positive rational number B) an irrational number C) a negative rational number D) equal to zero
13.

Simplify

14.

A)

a

B)

b

C)

c

D)

d

15.

How many factors 120 have?

A)

12

B)

8

C)

16

D)

none of these

16.

2 Rational Numbers between 1 & 1.001 are 1.0001 & 1.0002

A)

TRUE

B)

FALSE

17.

Every natural ,whole number and integer is rational number

A) True B) False
18.

The value of (√32+√48)/(√8+√12) is

A) â??2 B) 2 C) 4 D) 8
19.
State True/False: Every surd is an irrational number but every irrational number is not a surd.
A) true B) false
20.

99/99 is a NATURAL NUMBER

A)

TRUE

B)

FALSE

CBSE Class 9 Mathematics Worksheet

Number Systems

Answers

1.

2.

99

3.
Option B
4.
Option C

5.

(-144)

6.
Option B

7.

3

8.

(0.707106….) it is non terminating non recurring. It is an irrational number

9.
Option B
10.
Option A
11.
Option B
12.
Option B

13.

0

14.
Option B
15.
Option C

Solution:

total factors of 120= 16

16.
Option A
17.
Option A
18.
Option B
19.
Option A
20.
Option A

Solution:

When we simplyfy 99/99, we get 1, which is a Natural Number. Hence this statement iof "99/99 is a Natural Number" is True.

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