120 can be expressed as a product of its prime factors as
(a) `5 xx 8 xx 3`
(b) `15 xx 2^3`
(c) `10 xx 2^2 xx 3`
(d) `5 xx 2^3 xx 3`

Multiply and express as a mixed fraction : (a) 3 xx 5 1/5 (b) 5 xx 6 3/4 (c) 7 xx 2 1/4 (d) 4 xx 6 1/3 (e) 3 1/4 xx 6 (f) 3 2/3 xx 8

Simplify : (i) 2 xx 10^3 (ii) 7^2 xx 2^2 (iii) 2^3 xx 5 (iv) 3 xx 4^4

In which of the following expressions, prime factorization has been done? (i) 24=2\ xx\ 3\ xx\ 4 (ii) 56=1\ xx\ 7\ xx\ 2\ xx\ 2\ xx\ 2 (iii) 70=2\ xx\ 5\ xx\ 7\ (iv) 54=2\ xx\ 3\ xx\ 9

Which of the drawings (a) to (d) show : (i) 2 xx 1/5 (ii) 2 xx 1/2 (iii) 3 xx 2/3 (iv) 3 xx 1/4

Find the product: (i) 3/4 xx 5/7 , (ii) 5/8 xx (-3/7) , (iii) (-2/5) xx 8

Find the number from each of the following expanded forms : , (a) 8 xx 10^4 + 6 xx 10^3 + 0 xx 10^2 + 4 xx 10^1 + 5 xx 10^0 , (b) 4 xx 10^5 + 5 xx 10^3 + 3 xx 10^2 + 2 xx 10^0 , (c) 3 xx 10^4 + 7 xx 10^2 + 5 xx 10^0

For the fractions given below : (a) Multiply and reduce the product to lowest form (if possible) (b) Tell whether the fraction obtained is proper or improper. (c) If the fraction obtained is improper then convert it into a mixed fraction. (i) 2/5 xx (5) 1/4 (ii) (6) 2/5 xx 7/9 (iii) 3/2 xx (5) 1/3 (iv) 5/6 xx (2) 3/7 (v) (3) 2/5 xx 4/7 (vi) (2) 3/5 xx 3 (vii) (2) 3/5 xx 3 (viii) (3) 4/7 xx 3/5

Simplify : (i) (12^4xx9^3 xx 4)/(6^3 xx 8^2 xx 27) (ii) 2^3 xx a^3 xx 5a^4

Which out of the following are expressions with numbers only? (a) y + 3 (b) (7 xx 20) - 8 z (c) 5 (21 - 7 ) + xx 2 (d) 5 (e) 3 x (f) 5 - 5 n (g) (7 xx 20 ) - (5 xx 10 ) - 45 + p

pH of a saturated solution of Ba(OH)_2 is 12. The value of solubility product K_(sp) " of " Ba(OH)_2 is (a) 3.3 xx 10^(-7) (b) 5.0 xx 10^(-7) (c) 4.0 xx 10^(-6) (d) 5.0 xx 10^(-6)