ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

If a – b = 3 and ab = 10, find : a³ – b³.

Find : `"a"^3+1/"a"^3`, if `"a"  +1/"a"=5`.

Find:

`a^3-1/a^3`, if `a -1/a = 4`.

If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`

If `2"x"-1/(2"x")=4`, find: `8"x"^3-1/(8"x"^3)`

If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`

If `3"x"+1/(3"x")=3`, find : `27"x"^3+1/(27"x"^3)`

The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.

If a² + b² = 41 and ab = 4, find : a – b

If a + b + c = 9 and ab + bc + ca = 15, find: a² + b² + c².

If a + b + c = 11 and a² + b² + c² = 81, find : ab + bc + ca.

If 3x – 4y = 5 and xy = 3, find : 27x³ – 64y³.

If a + b = 8 and ab = 15, find a³ + b³.

If 3x + 2y = 9 and xy = 3, find : 27x³ + 8y³.

If 5x – 4y = 7 and xy = 8, find : 125x³ – 64y³.

The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.

Insert two rational numbers between 6 and 7.

Insert two rational numbers between 4.8 and 6∴

Insert two rational numbers between 2.7 and 6.3

Insert three rational numbers between 3 and 4