ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

If A = {1, 2, 3, 4, 5}
B = {2, 4, 6, 8}
and C = {3, 4, 5, 6}
Verify : A - (B ∩ C) = (A - B) ∪ (A - C)

Simplify : a² − 2a + {5a² − (3a - 4a²)}

Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`

Simplify : −3 (1 − x²) − 2{x² − (3 − 2x²)}

Simplify : `2{m-3(n+overline(m-2n))}`

Simplify : `3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]`

Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`

Simplify : `2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]`

Simplify : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`

Simplify : `3"x"-[4"x"-overline(3"x"-5"y")-3  {2"x"-(3"x"-overline(2"x"-3"y"))}]`

Simplify: a⁵ ÷ a³ + 3a × 2a

Simplify: x⁵ ÷ (x² × y²) × y³

Simplify: (x⁵ ÷ x²) × y² × y³

Simplify: (y³ − 5y²) ÷ y × (y − 1)

Simplify: `3"a"xx[8"b" ÷ 4-6{"a"-(5"a"-overline(3"b"-2"a"))} ]`

Simplify: 7x + 4 {x² ÷ (5x ÷ 10)} − 3 {2 − x³ ÷ (3x² ÷ x)}

Simplify the following:

`(27 xx^9)^(2/3)`

Construct a square, if :

it's one side is 3.8 cm.

Construct a square, if :

its each side is 4.3 cm.

Construct a square, if :

one diagonal is 6.2 cm.