Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?

A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?

The volume of a cube is 64 cm³. Its surface area is ______.

The areas of any two faces of a cube are equal.

A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.

The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.

A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?

A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.

If abc is a three digit number, then the number abc – a – b – c is divisible by ______.

Which of the following numbers is divisible by 99?

3 × 5 is divisible by 9 if the digit x is ______.

1 × 35 is divisible by 9 if x = ______.

If 213 × 27 is divisible by 9, then the value of x is 0. 

Represent these numbers on the number line

`7/4`

Represent these numbers on the number line.

`-5/6`

Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.

Write five rational numbers which are smaller than 2.

If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?