To find square of number close to 50, subtract 25 from the number and prefix it to square of its distance from 50.

For example:

Let’s find

For example:

Let’s find

**square of 47****Step 1:**Subtract 25 from the number

*47 – 25 = 22*

**Step 2:**Find its distance from 50 and square it

Distance of 47 from 50 is ‘3’ and square of ‘3’ is 9

**Step 3:**Use the first two digits from Step 2 and last two by adding any carryover to output from step 1

so, here answer is

**2209**

Let’s take another example:

**Square of 54**

**Step 1:**54 – 25 = 29

**Step 2:**54 is 4 away from 50; square of 4 is 16

**Step 3:**Answer is

**2916**

*This will work for numbers far away from 50 as well but it is not worth it.*

Let’s take an example –

**square of 111**

**Step 1:**111-25 = 86

**Step 2:**111 is 61 more than 50; Square of 61 = 3721

**Step 3:**(86+37)21 -> Answer is

**12321**