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

Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1 ______ 2 ______ 1

10000001² = ______

Observe the following pattern and supply the missing number.

11² = 121

101² = 10201

10101² = 102030201

1010101² = _____

____² = 10203040504030201.

Using the given pattern, find the missing numbers.

1² + 2² + 2² = 3²

2² + 3² + 6² = 7²

3² + 4² + 12² = 13²

4² + 5² + _ ² = 21²

5² + _ ² + 30² = 31²

6² + 7² + _ ² = __²

Without adding find the sum:

1 + 3 + 5 + 7 + 9 

Without adding, find the sum:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19

Without adding, find the sum:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Express 49 as the sum of 7 odd numbers.

Express 121 as the sum of 11 odd numbers.

How many numbers lie between squares of the given numbers?

12 and 13

How many numbers lie between squares of the given numbers?

25 and 26

How many numbers lie between squares of the following numbers?

99 and 100

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

243

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

256

Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

72

Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.

675

Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.

100

Find the smallest number by which the following number must be divided to obtain a perfect cube.

81

Find the smallest number by which of the following number must be divided to obtain a perfect cube.

128

Find the smallest number by which the following number must be divided to obtain a perfect cube.

135

Find the smallest number by which the following number must be divided to obtain a perfect cube.

192