, short answer questions, and concept-based problems from topics like real numbers, rational and irrational numbers, terminating and non-terminating decimals, and laws of exponents. Each mock test provides real-time scoring, detailed solutions, and performance analysis to help students identify their strengths and weaknesses. Take unlimited free tests, improve your accuracy, and gain confidence in the Number System chapter of Class 9 Mathematics. Perfect for exam revision, homework help, and self-assessment.

1. The value of x, if  = 5, is

 
 
 
 

2.

The value of , where  = 3.162 is

 
 
 
 

3. Direction: In the following questions a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): Sum of two irrational numbers  is rational number.
Reason (R): Sum of two irrational numbers can be rational/an irrational number.

 
 
 
 

4. Value of  is

 
 
 
 

5. Value of  is

 
 
 
 

6.  can be written as

 
 
 
 

7. Value of (256)0.16 × (256)0.09 is

 
 
 
 

8.

 On dividing  by , we get

 
 
 
 

9. On simplifying 83 ⋅ 24, we get

 
 
 
 

10.   is equal to

 
 
 
 

11. To rationalise the denominator of , we multiply and divide by

 
 
 
 

12.

It is given that m and n are two natural numbers such that mn = 32. The value of nmn is equal to
 
 
 
 

13.

 
 
 
 

14. Simplified form of  is

 
 
 
 

15.   is equal to

 
 
 
 

16. On simplifying  we get

 
 
 
 

17. Value of is

 
 
 
 

18. Which of the following is equal to x?

 
 
 
 

19. The simplified form of  is

 
 
 
 

20.  is equal to

 
 
 
 

21. The number 1.010010001 …… is

 
 
 
 

22. On simplifying , we get

 
 
 
 

23. Simplified value of  is

 
 
 
 

24. On simplifying (3 + ) (3 − ), we get

 
 
 
 

25. Direction: In the following questions a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): 0.189 is a terminating decimal.
Reason (R): A decimal in which a digit or set of digits is repeated periodically, is called a repeating or recurring decimal.

 
 
 
 

26. Let x and y be rational and irrational number, respectively. Then x + y is necessarily

 
 
 
 

27.

 
 
 
 

28. A rational number between  and  is

 
 
 
 

29. An irrational number lying between the numbers 0.401001000100001… and 0.404004000400004… is

 
 
 
 

Question 1 of 29