ICSE ICSE Class 8 - CISCE Question Bank Solutions

Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.

C ⊆ B ⊆ A

Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons. 

D ⊂ A

Subtract : x³ − 4x − 1 from 3x³ − x² + 6

The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find :

(i) measure of each interior angle ;
(ii) measure of each exterior angle and
(iii) number of sides in the polygon.

Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.
B ⊇ C

Subtract : 6a + 3 from a³ − 3a² + 4a + 1

Given, A = {Quadrilaterals}, B = {Rectangles}, C = {Squares}, D= {Rhombuses}. State the following statement is true or false. Give reasons.

A ⊇ B ⊇ D

The ratio between the interior angle and the exterior angle of a regular polygon is 2: 1. Find:

(i) each exterior angle of the polygon ;
(ii) number of sides in the polygon.

Subtract : cab − 4cad − cbd from 3abc + 5bcd − cda

The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 4. Find the number of sides in the polygon.

The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.

Subtract : a² + ab + b² from 4a² − 3ab + 2b²

AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20° ; find :

(i) its each interior angle,
(ii) its each exterior angle
(iii) the number of sides in the polygon.

Take away – 3x³ + 4x² – 5x+ 6 from 3x³ – 4x² + 5x – 6

Two alternate sides of a regular polygon, when produced, meet at the right angle. Calculate the number of sides in the polygon.

Take m² + m + 4 from −m² + 3m + 6 and the result from m² + m + 1.

In a regular pentagon ABCDE, draw a diagonal BE and then find the measure of:

(i) ∠BAE
(ii) ∠ABE
(iii) ∠BED

Subtract the sum of 5y² + y – 3 and y² – 3y + 7 from 6y² + y – 2.

The difference between the exterior angles of two regular polygons, having the sides equal to (n – 1) and (n + 1) is 9°. Find the value of n.

What must be added to x⁴ – x³ + x² + x + 3 to obtain x⁴ + x² – 1 ?