ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Find the number of sides in a polygon if the sum of its interior angle is: 1620°

Find the number of sides in a polygon if the sum of its interior angle is: 16 right-angles.

Find the number of sides in a polygon if the sum of its interior angle is: 32 right-angles.

Is it possible to have a polygon, whose sum of interior angle is: 870°

Is it possible to have a polygon, whose sum of interior angle is: 2340°

Is it possible to have a polygon, whose sum of interior angle is: 7 right-angles

Is it possible to have a polygon, whose sum of interior angle is:  4500°

The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.

Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.

Two angles of a polygon are right angles and the remaining are 120° each. Find the number of sides in it.

In a hexagon ABCDEF, side AB is parallel to side FE and ∠B : ∠C : ∠D : ∠E = 6 : 4 : 2 : 3. Find ∠B and ∠D.

The angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°. Find x.

In a pentagon, two angles are 40° and 60°, and the rest are in the ratio 1 : 3 : 7. Find the biggest angle of the pentagon.

ABCD is a rectangle, if ∠BPC = 124°
Calculate:

1. ∠BAP
2. ∠ADP

If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.

The following figure is a rectangle in which x: y = 3: 7; find the values of x and y.

The length of a hall is double its breadth. Its height is 3 m. The area of its four walls (including doors and windows) is 108 m², find its volume.

A solid cube of side 12 cm is cut into 8 identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.

How many bricks will be required for constructing a wall which is 16 m long, 3 m high, and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm?

The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm², find its volume.