In this article , I am going to share few interesting square tricks. These simple techniques can help you to find the square of a number more quickly and easily.

Contents

** Squaring of numbers ending with ‘5 ‘ **

The first technique that we will discuss is how to instantly square numbers whose last digit is 5. Remember , squaring is multiplying a number by itself. The steps to follow are:

- Take the number apart from 5.
- Multiply the number by the number that comes after this number when counting.
- square the last digit (5×5) and write 25 after it.

Example 1. Find the square of 85.

- In 85, the number apart from 5 is 8.
- The number that comes after 8 is 9.
- Multiply 8 x 9 =72.
- write 25 beside it.

Hence 7225 .

Example 2. Find the square of 205.

- In 205, the number apart from 5 is 20.
- The number that comes after 20 is 21.
- Multiply 20 x 21 =420.
- write 25 beside it.

Hence the square of 205 =42025 .

Example 3. Find the square of 325.

- In 325, the number apart from 5 is 32.
- The number that comes after 32 is 33.
- Multiply 32 x 33 =1056.
- write 25 after it.

## Squaring of numbers between 50 and 60

The steps to find the square of numbers between 50 and 60 are below.

(i) Add 25 to the digit in the unit place and put it as the left part of the answer .

(ii) Square the digit in the in the unit place and put it as the right part of the answer.(If it is a single digit , make it two digit number by adding ‘0’ before the number)

Example 1. Find the square of 58.

Sol. (i) Add 25 to unit place number(25+8=33) . It is the left part of the answer.

(ii) Now find the square of unit digit 8 which is equal to 64. Write it as the right part of the answer.

Hence the square of 58 is 33 64 .

Example 2. Find the square of 53.

Add 3 to 25 and get the left part of the answer as 28. Next, we square 3 and get the answer 9 which we will put on the right side of the answer. However right side of the answer should be a two-digit number. Hence we convert 9 as 09.

Thus the square of 53 is 2809.