All the students nowadays use a calculator for working out even some of the easiest calculations.

You may wonder what the people did when there was no calculator.

Well, in India there was Vedic Mathematics. It originated from the Vedas of Hindu.

I am going to illustrate some examples of how Vedic Mathematics works. You will be astonished at how fast you can do some of the calculations.

Let us start with some easy stuff.

Finding the square of adjacent numbers:

(a) Say you know the square of 60 = 3600, then the square of 61 will be given as (60)2 + (60 + 61) = 3600 + 121 = 3721.

(b) If you want to find the square of 26,

(25)2 + (25 + 26) = 625 + 51 = 676.

Apply it to find the square of a number which is 1 more than the number whose square is known.

Suppose you want to find the square of a number which is one less than the number whose square is known, you can use the following method:

Square of 79 will be given as,

(80)2 - (80 + 79) = 6400 - 159 = 6241.

Finding the square of a number near 50.

Now, if you want to find the square of 51, the formula will be,

(5)2+1/ (1)2 = 25 + 1/ 01 = 2601.

This is what you do:

The LHS of the answer is given as (5)2 + 1 and the RHS is given as the square of the difference of the number from 50.

The RHS of the answer should always contain 2 digits.

Square of a number having all digits 1.

Suppose you want to find the square of 11111,

Check the number of 1s in the number, i.e. 5.

So write...