, 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.

 
 
 
 

3. On simplifying  we get

 
 
 
 

4. 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.

 
 
 
 

5.

The value of , where  = 3.162 is

 
 
 
 

6.

 
 
 
 

7. Which of the following is equal to x?

 
 
 
 

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

 
 
 
 

9. The value of x, if  = 5, is

 
 
 
 

10. On simplifying 83 ⋅ 24, we get

 
 
 
 

11. On simplifying , we get

 
 
 
 

12. The number 1.010010001 …… is

 
 
 
 

13. Value of (256)0.16 × (256)0.09 is

 
 
 
 

14. A rational number between  and  is

 
 
 
 

15.   is equal to

 
 
 
 

16. The simplified form of  is

 
 
 
 

17. Value of is

 
 
 
 

18. Simplified form of  is

 
 
 
 

19.   is equal to

 
 
 
 

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

 
 
 
 

21. Simplified value of  is

 
 
 
 

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

 
 
 
 

23. Value of  is

 
 
 
 

24. Value of  is

 
 
 
 

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

 
 
 
 

26.  is equal to

 
 
 
 

27.

 On dividing  by , we get

 
 
 
 

28.

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

29.  can be written as

 
 
 
 

Question 1 of 29