Squares of Numbers and Shortcuts to Find Squares.

Square of Numbers are frequently used for calculation.

The first 30 squares are as follows

Shortcut for Calculation of Squares 

 1. Between 31 to 40

 The Number 60 is taken from twice of 30 and calculated

In the same process squares of the remaining numbers between 31 to 40 can be calculated

2. Between 41 to 50

In the same process squares of the remaining numbers between 41 to 50 can be calculated

3. Between 51 to 60
  
It is same as the above process done for 41 to 50. There we subtracted the digit from 25 and took the value. Here we have to add the value. Process to calculate

In the same process squares of the remaining numbers between 51 to 60 can be calculated.

4.Between 61 to 70

Same as the process used to calculate between 31 to 40. The number 120 is taken as twice of 60

In the same process squares of the remaining numbers between 61 to 70 can be calculated.

5. Between 71 to 80

 Same as 61 to 70. The number 140 is taken from twice of 70

In the same process squares of the remaining numbers between 71 to 80 can be calculated.

6. Between 81 to 90

Same as 71 to 80. The number 160 is taken from twice of 80

In the same process squares of the remaining numbers between 81 to 90 can be calculated

7. Between 91 to 99

Same as 81 to 90. The number 180 is taken from twice of 90

In the similar process squares of the remaining numbers between 91 to 99 can be calculated.

.NOTE - Even the values between 41 to 50 and 51 to 60 can be calculated using technique that has been used to calculate squares between 31 to 40, 61 to 70, 71 to 80, 81 to 90, 91 to 99.
                                                           
Thus the Shortcuts to calculate the squares up-to 100 is discussed.

                                                                         Thank-You!