CBSE Class 9 Mathematics Number System Worksheet Set D

CBSE Class 9 Mathematics Worksheet - Number System (3)

Worksheets have become an integral part of the education system. Worksheets are very critical for every student to practice his/ her concepts. Students, teachers and parents can download all CBSE educational material and extremely well prepared worksheets from this website. All revision worksheets, Sample papers, Question banks and easy to learn study notes for all classes and subjects have been prepared based on the latest guidelines sent by CBSE. All CBSE educational material is developed by our panel of teachers, have also been submitted by thousands of teachers and students. The study material has been carefully compiled by the best teachers in India. Worksheets have been submitted by teachers of various CBSE schools and also have been carefully developed keeping into consideration the latest CBSE syllabus.

1. Visualize 3.756 on the number line, using successive magnification

2. Represent √3.5 on the number line

3. If x = 3+2√2, find the value of x2 + 1/x2 (34)

4. If x = 2 + √5, Prove that x2 + 1 = 18

X2

5. Express 1. 3 2 + 0.35 as a fraction in simplest form. (166/99)

6. Rationalise the denominator 1

√6 + √5 - √11

7. If a and b are rational numbers, find a and b

a) √2 + √3 = a + b √6 (a=2, b=5/6)

3 √2 - 2√3

b) √5 – 2 - √5 + 2 = a + b √5 (a = 0, b = - 8)

√5 + 2 √5 – 2

8. Simplify: a) 1 + 1 + 1

1 + √2 √2 + √3 √3 + √4 (1)

9. If a = √3+√2 and b = √3 – √2, find the value of a2 + b2 (98)

√3 – √2 √3 + √2

2

10. If a = 9 - 4√5, find the value of a – 1/a (320)

3

11. If x = 1 - √2, find the value of x – 1/x (8)

12. If x = 3 + 2 √2, find the value of √x - 1 (8)

√x

13. If x = 0.125, find the value of (1/x) 1/3

14. If x = √3 + √2 then find the value of x2 (49 + 20√6)

√3 - √2

15. If x = 1 , find the value of x3 – 2x2 – 7x + 5 (3)

2 - √3

16. Find four rational numbers between 3/5 and 4/5

17. Find two irrational numbers lying between √2 and √3

18. Find two rational and irrational numbers between 0.3101 and 0.3222

19. Simplify the following: a) 576 - 1/2 b) 343 -1/3 c) (-1/27) - 2/3 d) (0.008)4/3 e) (729)- 1/6

625 1000

20. Simplify and express the result in the simplest form: (25)3/2 x (243)2/5 (1125/512)

(16)5/4 x (8)4/3

21. Find the value x, if 5x -3 x 3 2x – 8 = 225 (x = 5)

22. Solve: a) 49 x 7x = (343)1/3 (x = -1)

b) 2x = (128)1/7 x (√2)4 (3)

c) If 3x = 9 , find x (1/2)

27x

d) (1/7)4 – 2x = √7 (9/4)

23. Evaluate: a) 125 -1/3 x 271/3 (62 +82 )1/2 (6)

b) (172 – 82)1/2 (15)

c) 641/3 (641/3 – 642/3)

24. Simplify: a) √45 + √80 - 3√20 (√5)

b) 7√6 - √252 - √294 + 6√7 ( 0 )

c) 4√28 + 3√7

25. Give an example of two irrational numbers whose: (A) Sum is rational (B) product is rational (C) quotient is rational

PREPARED BY: MAHABOOB PASHA IX –XBOYS

Please click the below link to access CBSE Class 9 Mathematics Worksheet - Number System (3)