Class 9 Maths MCQ Questions of Number system will shape a huge part of the Mathematics question paper in final exams. Students can score full marks without much of a stretch in these objective type questions with a little difficult work and great practice. We are giving here the MCQ questions of the Number System which are set up by subject specialists. 

Class 9 Maths syllabus incorporates some early on parts of various numerical branches. The branches are arithmetic, algebra, geometry, trigonometry, etc. The students should become familiar with the number system effectively for their future accommodation. The number system is quite possibly the main basic subjects of science.

They should be taken care of different numerical issues all alone on this subject. It will assist the students with being more productive and certain.Following are some number system MCQ Questions for class 9 maths with answers. Each question comprises 4 choices, out of which one is right.

Practice Class 9 Maths MCQ Questions 

1. Write three rational numbers between 4 and 5?

(a) 12/6, 13/6, 14/6
(b) 12/7, 13/7, 14/7
(c) 17/4, 18/4, 19/4
(d) 17/2, 18/13, 19/23

2.  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

3. 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

4. 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

5.  A rational number between √2 and √3:

(a) 1.9
(b) (√2. √3)/2
(c) 1.5
(d) 1.8

6. Can we write 0 in the form of p/q?

(a) Yes
(b) No
(c) Cannot be explained
(d) None of the above

7. 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

8. Every rational number is:

(a) Whole number
(b) Natural number
(c) Integer
(d) Real number

9. √9 is  __________ number.

(a) A rational
(b) An irrational
(c) Neither rational nor irrational
(d) None of the above

10. Which of the following is an irrational number?

(a) √16
(b) √(12/3)
(c) √12
(d) √100

11. 3√6 + 4√6 is equal to:

(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12

12. √6 x √27 is equal to:

(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3

13.  Which of the following is equal to x³?

(a) x⁶-x³
(b) x⁶.x³
(c) x⁶/x³
(d) (x⁶)³

14. 4√5 + 5√5 is equal to:

(a) 9√5
(b) 9√10
(c) 5√10
(d) 7√5

15. Which of the following is an irrational number?

(a) √23
(b) √225
(c) 0.3796
(d) 7.478478

16. Which of the following is an irrational number?

(a) 0.14
(b) 0.14\(\overline{16}\)
(c) 0.\(\overline{1416}\)
(d) 0.4014001400014…

17. 2√3+√3 = 

(a) 6
(b) 2√6
(c) 3√3
(d) 4√6

18. Which of the following is rational?

(a) 4/0
(b) 0/4
(c) √3
(d) π

19. The irrational number between 2 and 2.5 is 

(a) √11
(b) √5
(c) √22.5
(d) √12.5

20. 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

Answer: 

1. Answer: (c) 17/4, 18/4, 19/4

Explanation: There are several rational numbers between 4 and 5.

The numbers are between 16/4 and 20/4.

Therefore, the answer is c, that is, 17/4, 18/4, 19/4

2. Answer: (b) Infinitely many rational numbers

3. Answer: (c) Always an irrational number

4. Answer: (d) Non-terminating and non-recurring

5. Answer: (c) 1.5

6. Answer: (a) Yes

Explanation: 0 is a rational number and hence it can be written in the form of p/q.

Example: 0/4 = 0

7. Answer: (b) 13/4, 14/4, 15/4

Explanation: There are many rational numbers between 3 and 4

To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4

Hence, 3 x (4/4) = 12/4 and 4 x (4/4) = 16/4

Thus, three rational numbers between 12/4 and 16/4 are 13/4, 14/4 and 15/4.

8. Answer: (d) Real number

9. Answer: (a) A rational

Explanation: √9 = 3

Hence, √9 is a rational number.

10. Answer: (c) √12

Explanation: √12 cannot be simplified to a rational number.

11. Answer: (b) 7√6

Explanation: 3√6 + 4√6 = (3+4)√6 = 7√6

12. Answer: (a)

Explanation: √6 x √27 = √(6 x27) = √(2x3x3x3x3) = 3×3√2 = 9√2

13. Answer: (c) x⁶/x³

Explanation: x⁶/x³ = x^6-3 = x³  

14. Answer: (a) 9√5

15. Answer: (a) √23

Explanation: √23 = 4.79583152331…

Since the decimal expansion of the number is non-terminating non-recurring. Hence, it is an irrational number.

16. Answer: (d) 0.4014001400014…

Explanation: 0.4014001400014…is an irrational number as it is non-terminating and non-repeating.

17. Answer: (c) 3√3

Explanation: 2√3+√3 = (2+1)√3= 3√3.

18. Answer: (b) 0/4

Explanation: 0/4 is a rational number that is equal to 0. Whereas π and √3 are irrational numbers and 4/0 is meaningless.

19. Answer: (b) √5

Explanation: The irrational number between 2 and 2.5 is √5 because the approximate value of √5 is 2. 23606…

20. Answer: (b) Either terminating or repeating

Explanation: As per the definition of rational number, its decimal representation is either terminating or repeating.

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