ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Given : In quadrilateral ABCD ; ∠C = 64°, ∠D = ∠C – 8° ; ∠A = 5(a+2)° and ∠B = 2(2a+7)°.
Calculate ∠A.

In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.

Three angles of a quadrilateral are equal. If the fourth angle is 69°; find the measure of equal angles.

Multiply : 8ab² by − 4a³b⁴

Multiply: `2/3"ab"` by `-1/4 "a"^2"b"`

In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7.
Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other
(i) Is PS also parallel to QR?
(ii) Assign a special name to quadrilateral PQRS.

Use the information given in the following figure to find the value of x.

Multiply: −5cd² by − 5cd²

The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

Use the following figure to find the value of x

Multiply: 4a and 6a + 7

ABCDE is a regular pentagon. The bisector of angle A of the pentagon meets the side CD in point M. Show that ∠AMC = 90°.

In a quadrilateral ABCD, AO and BO are bisectors of angle A and angle B respectively. Show that:

∠AOB = (∠C + ∠D)

Multiply: −8x and 4 − 2x − x²

Multiply: 2a² − 5a − 4 and −3a

Multiply: x + 4 by x − 5

Multiply: 5a − 1 by 7a − 3

Multiply: 12a + 5b by 7a − b

Multiply: x²+ x + 1 by 1 − x

Multiply: 2m² − 3m − 1 and 4m² − m − 1