, 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.

 
 
 
 

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

 
 
 
 

4. Value of (256)0.16 × (256)0.09 is

 
 
 
 

5. Simplified form of  is

 
 
 
 

6. The simplified form of  is

 
 
 
 

7. A rational number between  and  is

 
 
 
 

8.   is equal to

 
 
 
 

9.

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

10.  is equal to

 
 
 
 

11.   is equal to

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. The number 1.010010001 …… is

 
 
 
 

15. On simplifying , we get

 
 
 
 

16. Which of the following is equal to x?

 
 
 
 

17. On simplifying  we get

 
 
 
 

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

 
 
 
 

19.

 On dividing  by , we get

 
 
 
 

20.

 
 
 
 

21. Value of  is

 
 
 
 

22. Value of  is

 
 
 
 

23. On simplifying 83 ⋅ 24, we get

 
 
 
 

24.

The value of , where  = 3.162 is

 
 
 
 

25. Value of is

 
 
 
 

26. 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.

 
 
 
 

27. Simplified value of  is

 
 
 
 

28. 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.

 
 
 
 

29.  can be written as

 
 
 
 

Question 1 of 29