# CBSE Class 9 Mathematics Number System Worksheet Set A

- Number System

**1.) Can we write 0 in the form of p/q?**

a. Yes

b. No

c. Cannot be explained

d. None of the above

**2.) The three rational numbers between 3 and 4 are:**

a. 5/2, 6/2, 7/2

b. 13/4, 14/4, 15/4

c. 12/7, 13/7, 14/7

d.11/4, 12/4, 13/4

**3.) In between any two numbers, there are:**

a. Only one rational number

b. Two rational numbers

c. Infinite rational numbers

d. No rational number

**4.) Every rational number is:**

a. Whole number

b. Natural number

c. Integer

d. Real number

**5.) √9 is __________ number.**

a. A rational

b. An irrational

c. Neither rational nor irrational

d. None of the above

**6.) Which of the following is an irrational number?**

a. √16

b. √(12/3)

c. √12

d. √100

**7.) 3√6 + 4√6 is equal to:**

a. 6√6

b. 7√6

c. 4√12

d. 7√12

**8.) √6 x √27 is equal to:**

a. 9√2

b. 3√3

c. 2√2

d. 9√3

**9.) Which of the following is equal to x**^{3}**?**

a. x^{6 }– x^{3}

b. x^{6}.x^{3}

c. x^{6}/x^{3}

d. (x^{6})^{3}

**10.) Which of the following is an irrational number?**

a. √23

b. √225

c. 0.3796

d. 7.478478

**11.) Which of the following is an irrational number?**

a. 0.14

b. 0.14¯¯¯¯¯¯160.1416¯

c. 0.¯¯¯¯¯¯¯¯¯¯¯14160.1416¯

d. 0.4014001400014…

**12.) 2√3+√3 = **

a. 6

b. 2√6

c. 3√3

d. 4√6

**13.) Find the value of **√√2−1√2+12−12+1**, if √2 = 1.4142.**

a. 5.8282

b. 0.1718

c. 0.4142

d. 2.4142

**14.) The number obtained on rationalising the denominator of **1√7−217−2** is**

a. (√7+2)/3

b. (√7-2)/3

c. (√7+2)/5

d. (√7+2)/45

**15.) Which of the following is rational?**

a. 4/0

b. 0/4

c. √3

d. π

**16.) The irrational number between 2 and 2.5 is **

a. √11

b. √5

c. √22.5

d. √12.5

**17.) The value of √10 times √15 is equal to**

a. 5√6

b. √25

c. 10√5

d. √5

**18.) The decimal representation of the rational number is**

a. Always terminating

b. Either terminating or repeating

c. Either terminating or non-repeating

d. Neither terminating nor repeating

**19.) Which of the following is a rational number?**

a. 0

b. 2√3

c. 2+√3

d. π

**20.) Which of the following is an irrational number?**

a. √(4/9)

b. √12/√3

c. √7

d. √81

**21)****.** In between two rational number there is/are:

a) Exactly one rational number

b) Infinitely many rational number

c) Many irrational numbers

d) Only irrational numbers

**22)****.** The product of a rational and an irrational numbers is:

a) Always an integer

b) Always a rational number

c) Always an irrational number

d) Sometimes rational and sometimes irrational

**23)****.** The decimal expansion of an irrational number may be:

a) Terminating

b) Recurring

c) Either terminating or non- terminating

d) Non-terminating and non-recurring

24) A rational number between √2 and √3:

a) 1.9

b) (√2. √3)/2

c) 1.5

d) 1.8

25) A rational number between √2 and √3:

a) 1.9

b) (√2. √3)/2

c) 1.5

d) 1.8

26) 4√5 + 5√5 is equal to:

a) 9√5

b) 9√10

c) 5√10

d) 7√5

**27)****.** Which of the following is irrational?

a) 0.4014001400014…

b) 0.14

28) √12 X √15 is equal to:

a) 5√6

b) 6√5

c) 10√5

d) √25

29) Which of the following is equal to *x*^{2}?

a) 1/4

b) 1/2

c) 4

d) 1/16

32) What would be the denominator after rationalizing 7/(5√3 – 5√2)?

a) 19

b) 20

c) 25

d) None of these

a) 2.732

b) 0.2679

c) 0.732

d) 0.517

**35)****.** Value of (256)^{0.16} X (256)^{0.}09 is:

a) 4

b) 16

c) 64

d) 256.25

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