ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Find the quotient and the remainder when :
a³ − 5a² + 8a + 15 is divided by a + 1. verify your answer.

Find the quotient and the remainder when 3x⁴ + 6x³ − 6x² + 2x − 7 is divided by x − 3. in case, verify your answer.

Find the quotient and the remainder when :
6x² + x  − 15 is divided by 3x + 5. verify your answer.

The area of a rectangle is x³ – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

The product of two numbers-is 16x⁴ – 1. If one number is 2x – 1, find the other.

Divide x⁶ – y⁶ by the product of x² + xy + y² and x – y.

Construct a rhombus ABCD, if ;

AB = 4 cm and ∠B = 120°.

Construct a rhombus ABCD, if ;

BC = 4.7 cm and ∠B = 75°.

Construct a rhombus ABCD, if ;

CD = 5 cm and diagonal BD = 8.5 cm.

Construct a rhombus ABCD, if ;

BC = 4.8cm, and diagonal AC = 7cm.

Construct a rhombus ABCD, if ;

diagonal AC = 6 cm and diagonal BD = 5.8 cm.

Construct a rhombus ABCD, if ;

diagonal AC = 4.9 cm and diagonal BD = 6 cm.

Construct a rhombus ABCD, if ;

diagonal AC = 6.6 cm and diagonal BD = 5.3 cm.

Using a ruler and compasses only, construct a rhombus whose diagonals are 8 cm and 6 cm. Measure the length of its one side.

Given A = {x : x ∈ N and 3 < x ~ 6} and 8 = {x : x ∈ W and x < 4}. Find: A - B.

If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7};  Find: A -B.

If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7}; Find: B - C.

If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7};  Find: A - (B ∪ C).

If A = {6, 7, 8, 9}, B = {4, 6, 8,10} and C = {x : x ∈ N : 2 < x ≤ 7};  Find: B - (A ∩ C).

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)