# Squares of numbers - Formula and Facts

Here is the shortcut trick for HOW TO QUICKLY FIND AVERAGE OF NUMBERS
It is not that difficult to find the average of numbers. For most of the candidates who are preparing for competitive exams like SSC, IBPS etc. it can take some time to solve average questions asked in the SSC exams. But what if we know a shortcut method to find the average of numbers, it will not only let us solve the questions quickly but also save our time in the exam and time is precious in competitive exams. So to help you, here we are sharing with you some of the good shortcut tricks to find the average of numbers quickly.
The basic method of finding average of numbers quickly is

The most common calculation is to calculate Squares of numbers in school / competitive / entrance / qualifying exam. It takes much time and during exams time is money and that's why we need to save it. Hence go through the shortcut tricks of finding squares of numbers so that you can do faster calculations and we wish our visitors to save time and score more in exams.

**What is a square:**
If any number is multiplied by itself, then the product we obtained is known as the square of that number.

**Must Remember:**
For preparing Squares, you need to first remember square numbers up to minimum 30 on your fingertips or if you can practice remember up to 50.

Shortcut method of squaring any number ending in 5:

i.e.

(45)^{2}= square of 45

= (4*5)!5*5

=20!25

=2025=(45)^{2}

Here the first number 4 should be multiplied with (4+1) by adding 1 and also squaring only 5 means we get 25.
For example:

(Xy5)^{2}= (xy*(xy+1)) ! (5)^{2}

(115)^{2}= 11!5=(11*12)!25= 132!25

Here the first number 11 is multiplied with adding 1 in it (11*12) and side by squaring 5 and then putting them together.

read all of the shortcuts on this site here

Square of like numbers:

Here are formula shortcuts of like numbers i.e. 44,66,777,8888,99999 etc.

(xx)^{2}= 121*[(x)^{2}]

Example

66^{2}= 121*[(6)^{2}]= 121*36= 4356

Similarly

(xxx)^{2}= 12321*[(x)^{2}]

(xxxx)^{2}= 1234321*[(x)^{2}]

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