How to Quickly Find Square of Any Number Ending in 5

Finding square of any number with unit’s digit being 5 is the most common, yet very interesting trick of Vedic Maths.  Using this technique you can find the square of any number ending in 5 very easily.  Also explore a quick method of squaring numbers ending in 9. Given below is the step by step explanation of this Vedic Maths Method.

Let us take a 2 digit number in generic form, say the number is a5 (=10a+5), where a is the digit in ten’s place

Square of a5= a x (a+1) | 25

That means a is multiplied by the next higher number, i.e. (a+1). Now let’s take example of a real number ending in 5, say 45.

452 = Left hand side of the answer will be 4 multiplied by its successor i.e. 5 and the right hand side part will always be 25 for squares of numbers of which the unit’s digit is 5.

Giving the answer a x (a+1) | 25 ( |     stands for concatenation}

i.e. 4  x  (4+1) | 25 = 4 x 5 | 25 = 2025

Similarly we can proceed for 3 digit numbers ending in 5

Few more examples:

952=9 x 10 | 25 =9025

1252 = 12 x 13 | 25 = 15625

5052 = 50 x 51 | 25 = 255025

Test yourself

Find out the square of 85, 245, 145, 35, 15, and 95?

Answer: 7225, 60025, 21025, 1225, 225, 9025

Please let us know if you like this Vedic Maths trick

Please follow and like us:

Vineet Patawari

Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!

9 thoughts to “How to Quickly Find Square of Any Number Ending in 5”

  1. Well Vineet I emailed this trick to you and I thought that you are not greedy you must have mentioned earlier you mentioned the name probably you have become greedy. Sorry I stop using Quickermaths.

    1. Sorry some mistyping I said earlier you mentioned to whom a trick belongs and who told you that but you didn’t mention my name this time.

      1. Dear Vishal:

        FYI this trick was posted in July 2009. You emailed me this in 2014. Hence I shall request you to be little more considerate in choosing your words.

        Thanks anyway for sending in the trick again.

Leave a Reply

Your email address will not be published. Required fields are marked *