Number given to you can be a two digit number or three digit number or five or six digit number, it does’n t matter. The same trick can be applied to find the square of any number ending in 5.

## Square a number ending with 5 within seconds

**Step 1:**Multiply the ten’s digit of the given number with its immediate next number.This will be the 1st digit of the answer.

**Step 2:**Put 25 next to the result of step 1.

Logic behind putting 25 is that the number will always end with 5 and 5² is 25.

You get the answer

## Examples to find square of a 2 digit number ending with 5

**Example 1:**35²=?

**Step 1:** 3 is the ten’s digit in the given number 35.

Immediate next number to 3 is 4.

Hence,by multiplying 3 & 4 we get 12(3 x 4=12).which is the 1st digit of the answer.

**Step 2:** Now putting 25 next to 12 we get the answer as 1225.

**Ans 35²= 1225**

**Example 2:**25²=?

**Step 1:**2 is the ten’s digit in the given number 25.

Immediate next number to 2 is 3.

Hence,by multiplying 2 & 3 we get 6(2 x 3=6).which is the 1st digit of the answer.

**Step 2:** Now putting 25 next to 6 we get the answer as 625.

**Ans 25²= 625**

**Example 3:**65²=?

**Step 1:**6 is the ten’s digit in the given number 65.

Immediate next number to 6 is 7.

Hence,by multiplying 6 & 7 we get 42(6 x 7=42).which is the 1st digit of the answer.

**Step 2:** Now putting 25 next to 42 we get the answer as 4225.

**Ans 65²= 4225**

Now you try to square 25,45,15,55,65,75,85,95 & see how quickly you can square.

## Examples to find square of a 3 digit number ending with 5

**Example 1:**125²=?

**Step 1:**12 is the ten’s digit in the given number 125.

Immediate next number to 12 is 13.

Hence,by multiplying 12 & 13 we get 156(12 x 13=156).which is the 1st digit of the answer.

[To multiply a 2 digit by 2 digit number when ten’s digit of both numbers is 1 you can apply below trick to get your answer quickly.

middle digit =add unit’s place digit of both numbers(2+3=5)

unit’s place digit=Multiply unit place digit of both numbers(2 x 3=6)]

**Step 2: **Now putting 25 next to 156 we get the answer as 15625.

**Ans 125²= 15625**

**Example 2:**135²=?

**Step 1:**13 is the ten’s digit in the given number 135.

Immediate next number to 13 is 14.

Hence,by multiplying 13 & 14 we get 182(13 x 14=182).which is the 1st digit of the answer.

**Step 2: **Now putting 25 next to 182 we get the answer as 18225.

**Ans 135²= 18225**

**Example 3:**145²=?

**Step 1:**14 is the ten’s digit in the given number 145.Immediate next number to 14 is 15.

Hence,by multiplying 14 & 15 we get 210(14 x 15=210).which is the 1st digit of the answer. Apply the below trick to multiply quickly

https://www.yobankexams.com/2014/01/shortcut-to-multiply-any-2-digit-number-by-15.html

**Step 2:**Now putting 25 next to 210 we get the answer as 21025.

**Ans 145²= 21025**

**Tip: Use other multiplication tricks learnt earlier wherever needed to calculate faster.**

Also see

Shortcut to square any number from 10 to 19

Shortcut to square any number from 20 to 29

Shortcut to square any number from 30 to 79

Shortcut to multiply 2digit number by 2digit number