Practice Questions Mathematics, Class -8

Q.No. Questions
1. Solve the following equations:
(i) 2y - 3 = 1/2
(ii) 5y/6 + 3/4 = -y + 8
(iii) (3x-5)/4 + (2-x)/6 - 1/3 = x/2
(iv) 7(m - 9) - (8- 3m ) + 5 = 3 - (m +5)
2. Write the additive inverse of (A) -5/7 (B) 2/9
3. Write the multiplicative inverse of (a) -1 (b) 6/7 (c) -2/5
4. Simplify :
2/3 + 5/6 - 7/2
5. Express 100 as the sum of odd numbers.
6. Fill in the blanks:
(i) 52 + (...)2 + (...)2 = 312
(ii) (...)2 + 82 + 562 = (...)2
(iii) 62 + 72 + (...)2 = (...)2
7. Find the sum of the squares of the first 21 odd numbers.
8. What will be the square of 111111 ?
9. (10001)2= .....
10. (1010101)2 = .....
11. Find the square root of 32400.
12. Find the cube root of 42875.
13.Evaluate the following:-
(i)(-5)2+ (-3)3-(7)2
(ii)(-3)3- (-31)2-(5)2
(iii)(10)2+ (8)2-(-9)2
14.Evaluate the following:
(i)√(100)+ ∛(343) - ∜(16)
(ii)√(12321)- ∛(721) + ∜(625)
15.Solve the following equations:
(i)(2)ᵐ = 64
(ii)(y-4)/5 - 3/10 = y/2
(iii)6(m+5) - (7 - 2m) + 2 = 3(m-4)
16.Answer the following:
(i) What is the additive inverse of -22/3 ?
(ii)What is the additive identity of rational numbers?
(iii)What is the multiplicative inverse of 7/11 ?

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