, 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. Value of  is

 
 
 
 

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

 
 
 
 

3. The simplified form of  is

 
 
 
 

4. Value of (256)0.16 × (256)0.09 is

 
 
 
 

5.   is equal to

 
 
 
 

6. 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.

 
 
 
 

7.

 On dividing  by , we get

 
 
 
 

8.  can be written as

 
 
 
 

9.   is equal to

 
 
 
 

10. On simplifying , we get

 
 
 
 

11.

 
 
 
 

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

 
 
 
 

13. The number 1.010010001 …… is

 
 
 
 

14.

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

15.  is equal to

 
 
 
 

16. Which of the following is equal to x?

 
 
 
 

17. On simplifying  we get

 
 
 
 

18. On simplifying 83 ⋅ 24, we get

 
 
 
 

19.

 
 
 
 

20. Value of is

 
 
 
 

21. Simplified value of  is

 
 
 
 

22. Simplified form of  is

 
 
 
 

23. 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.

 
 
 
 

24. A rational number between  and  is

 
 
 
 

25. The value of x, if  = 5, is

 
 
 
 

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

 
 
 
 

27.

The value of , where  = 3.162 is

 
 
 
 

28. Value of  is

 
 
 
 

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

 
 
 
 

Question 1 of 29