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

 
 
 
 

2. A rational number between  and  is

 
 
 
 

3. Simplified form of  is

 
 
 
 

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

 
 
 
 

5. The number 1.010010001 …… is

 
 
 
 

6.

 
 
 
 

7.

 
 
 
 

8.

 On dividing  by , we get

 
 
 
 

9. 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.

 
 
 
 

10. 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.

 
 
 
 

11. On simplifying  we get

 
 
 
 

12. The simplified form of  is

 
 
 
 

13. Value of  is

 
 
 
 

14.  is equal to

 
 
 
 

15. Which of the following is equal to x?

 
 
 
 

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

 
 
 
 

17. On simplifying 83 ⋅ 24, we get

 
 
 
 

18. Value of  is

 
 
 
 

19.

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

20. The value of x, if  = 5, is

 
 
 
 

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

 
 
 
 

22. On simplifying , we get

 
 
 
 

23.   is equal to

 
 
 
 

24.   is equal to

 
 
 
 

25. Value of is

 
 
 
 

26.  can be written as

 
 
 
 

27. Value of (256)0.16 × (256)0.09 is

 
 
 
 

28.

The value of , where  = 3.162 is

 
 
 
 

29. Simplified value of  is

 
 
 
 

Question 1 of 29