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Friday, June 1, 2018

EXTRA QUESTIONS FOR CLASS 9 MATHS CHAPTER -1 NUMBER SYSTEM WITH ANSWERS

CBSE CLASS 9 MATHS NUMBER SYSTEM EXTRA QUESTIONS


CBSE Class 9 Maths Number System Extra Questions

 Number System - Work Sheet


1. Find three rational numbers between 3/5 and 7/8 . 

2. Find five rational numbers between √5/7 and 4/5 . 

3. Find two irrational numbers whose – 
(i) Sum is a rational number. 
(ii) Sum ia an irrational number. 
(iii) Difference is a rational number. 
(iv) Difference is an irrational number. 
(v) Product is a rational number. 
(vi) Product is an irrational number. 
(vii) Quotient is a rational number. 
(viii) Quotient is an irrational number. 

4. Let x be rational and y be irrational. Is xy necessarily an irrational? Justify your answer by an example. 

5. Construct √10 on number line. 

6. Insert a rational and an irrational number between 2.357 and 3.121. 

7. Express 1.3 2 ¯ +0. 35 ¯ as a fraction in the simplest form. 

8. If x = 3 +2√2, find out whether x – 1/x is rational or irrational. 

9. Show that 2.1 13 ¯ can be expressed in the form p/q . 

10. Express 18. 48 ¯ in the form p/q . 

11. Express 0.6+0. 7 ¯ +0.4 7 ¯ in the form p/q . 

12. Visualise 1. 33 ¯ on number line upto 3 digits after decimal. 

13. Rationalise the denominator of the following : 30 5 3 3 5 

14. Simplify : 2 3 3 2 + 3 2 3 + 2 

15. Find the value of ‘a’ and ‘b’ if, 7+3 5 3+ 5 + 73 5 3 5 =a+ 5 b 

16. Simplify : (i) ( 5 + 2 ) 2 (ii) ( 81 ) 1 4 8 ( 216 ) 1 3 +15 ( 32 ) 1 5 + 225 

17. Simplify :
i) 64 3 6+4 3 ii) 4+ 5 4 5 + 4 5 4+ 5 iii) 3 + 2 3 2 +) 3 2 3 + 2 iv) 3 4 5 3 + 2 4 5 + 3 

18. If a= 4 3 5 , find the value of a+ 1 a . 

19. If 3 4 5 3 + 2 4 5 + 3 =a 5 +b 3 , find the value of aandb. 

20. Simplify 1 3 8 1 8 7 + 1 7 6 1 6 5 + 1 5 2

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