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

Cube of an even number is odd.

Cube of an odd number is even.

Cube of an even number is even.

Cube of an odd number is odd.

Square of a number is positive, so the cube of that number will also be positive.

Write the first five square numbers.

Write cubes of first three multiples of 3.

Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.

A farmer wants to plough his square field of side 150 m. How much area will he have to plough?

If one side of a cube is 15 m in length, find its volume.

Find the length of each side of a cube if its volume is 512 cm³.

Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. Find the numbers.

How many square metres of carpet will be required for a square room of side 6.5 m to be carpeted.

Find the side of a square whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.

A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Evaluate: 

`{(5^2 + (12^2)^(1/2))}^3`

Evaluate: 

`{(6^2 + (8^2)^(1/2))}^3`

A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?

(Hint: The digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.)

Which of the following is a two Dimensional figure?

Which of the following is the top view of the given shape?