Question

Q. 1 Simplify: 64 1/6x 27 1/3



Q. 2. Write down 2 irrational number between 3 and 5.



Q. 3 Visualise the representation of 6.377..on the number line upto 4

decimal places.

Q. 4 find the sum of 0.03333… and 0.4444…

Q. 5 Draw √5 on the number line.

Q. 6 . Express the following in the form of p/q .q is ≠ 0.

(a) 0.12333… (b) 18.484848…

7. If x + y = 12 and xy = 32, Find the value of x2

+ y2

.

8. If 3x + 2y = 12 and xy = 6, find the value of 9x2

+ 4y2

.

9. Write the following cubes in the expanded form:

(i) (3a + 4b)3

(ii) (5p – 3q)3

10. If -



+



= 27 find the values of each of the following:

(i) (ii)

11. If then evaluate -



+




-

+





12. If a + b + c = 15 and a2

+ b2

+ c2

= 83, find the value of a3

+ b3

+

c

3

– 3abc.

13. Factorize:

(i) 6ab – b2

+ 12ac – 2bc

(ii) 9(2a – b)2

– 4(2a – b) – 13

14. If x3

+ ax2

– bx + 10 is divisible by x2

– 3x + 2, find the values of a

and b.​

Answer 1

Answer:

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