Maths – Short Cut Tricks for Square

Hello Readers,
One of the ardent follower and most helpful person of BankersAdda, TempleRun aka VT shared this trick for the Short Cut Trick  for Squares of the number. We are sharing this with everybody, so that everybody can make use of it!!

Square of a number 


From 1 to 30 (this is damn easy) You need to remember. Based on this I am going to explain square of a number from 31 to 100. 


31 to 100 is divided into 3 parts 

  • 31 to 50
  • 51 to 80
  • 81 to 100

From 31 to 50: 


Find the square of 38. 


First Step : 
122 =50-12 (haan bhai haan fir se 50 ) 


Second Step : 
Last 2 Digit : 122 = 144 =44 (1 Carry) 
First 2 Digit : 25-12+1 =14 
25 hamesha ki tarah Constant ..You need to add 
12 comes from (50-12) 
1 upar wala carry 


Final answer =1444 (First 2 Digit Last 2 Digit) 
382=1444 


Find the Square of 47. 


First Step : 
47 =50-03 


Second Step : 
Last 2 Digit : 09 ( kaise ? 3 ka Sqaure ) Carry ? Zero 
First 2 Digit : 25 -03+0 =22 
25 constant …yaad rakho 
03 comes from 50-03 
Carry to zero hi aya tha 

So final Answer is 2209 (First 2 Digit Last 2 Digit) 

472= 2209 

Rapid Fire Round ! 


1)Find the Square of 33. 
33 =50-17 
Last 2 Digit =289 =89 ( 2 carry) 
First 2 Digit =25-17+2 =10 
Final Answer =1089 


2) Find the square of 42. 
42 =50-08 
Last 2 Digit =64 ( Carry Zero) 
First 2 Digit =25-8+0 =17 
Final Answer =1764 


3) Find the Square of 45. 
Last 2 Digit =25 
First 2 Digit =4*(4+1) =20 
Final Answer =2025 


Let’s see 51 to 80 : 


Find the Square of 62

First Step – 50+12 ( Yes, every time You have to think like this 50 + ) 


{If the number is 72 We will write 50+22} 

Second Step – _ _ _ _  — 4 Digit number is the answer ( From 32 to 99 Every Number Square has 4 Digits) 


Last 2 Digit :   122 =144 = 44 ( 1 will be carry ) 


First 2 Digit : 25+12+1 =38 


25 is constant number for every number 51-80 You have to add this!!


12 comes from (50+12) 


So our final result is 3844 (See First 2 Digit and Last 2 Digit above) 
62= 3844


Thoda to jarur samjh me aaya hoga ?  Solve another question 


Find the Square of 77 


50 +27 ( Every time You have to think like this) 


_ _ _ _  — First 2 Digit Last 2 Digit 


Last 2 Digit : 272  =729 = 29 ( 7 is carry ) 


First 2 Digit : 25+27+ 7 =59 


25 is constant as I said before You have to add every time this number!!


27 comes from (50+27) 


How to add 25+27+7? 


(Thought process will go like this 25+(25+2)+7=(25+25+9) =50+9=59) 


So Final Answer is .. 5929


Hmm ..You can do it fast …just You need practice …Ghar me Practice karoge to Exam me without putting pen on the Paper You can do it. 


Remember : The more you sweat in the peace ..the less you bleed 


Lets Solve few examples in Simple way 


1)Find the Square of 53 ? 


Last 2 Digit =09 ( No Carry here ) 


First 2 Digit =25+3+0 =28 


2)Find the Square of 66 ? 


Last 2 Digit =256=56 ( 2 Carry ) 


First 2 Digit =25+16+2 =43 


3)Find the Square of 75 ? 


Don’t use above method 


First 2 Digit =7(7+1) =56 


Now, let’s see for 81 to 100 : 


Find the square of 88


First Step : 
88=100 -12 ( Yes 100-12 Only , not 50+38 or 80+8 ) 
{If the number is 92 then we have to think like 100-8} 

Second Step : 

_ _ _ _ 4 Digit number is the answer.As I said before Square of any number b/w 32 and 99 has 4 digits. 


Last 2 Digit : 122 = 144 = 44 (1 carry ) 


First 2 Digit : 88 – 12 + 1 =77 
88 is the given number jiska hum square find kar rhe he 
12 comes from 100-12 
1 is as usual carry ( 100-12 doesn’t mean that we have to minus 1 from 
the number..here also we add ) 


So our final Answer is 7744 (First 2 Digit Last 2 Digit) 
88= 7744 
(Btw this number is Special,No other number square has this form XXYY) 

Let’s do another sum 
Find the Square of 92 . 

First Step :
 

92 =100-8 ( Yes 100-8 only ,don’t confuse with 50+ ) 


Second Step : 
Last 2 Digit : 82 = 64 ( It’s only the last 2 Digit …No carry) 

First 2 Digit : 92-8+0 =84 


92 is given number 
8 is from 100-8 
O is carry ( Carry to Anda hi aaya tha ) 


Final Answer is 8464 ( First 2 Digit Last 2 Digit ) 
922 =8464 


Rapid Fire Round ! 


1)Find the square of 96. 
96=100-4 
Last 2 Digit =16 (How come 16 ? 4 ka Square ) Carry Zero 
First 2 Digit =96-4+0 =92 
Final Answer =9216 


2) Find the Square of 81. 
81 =100-19 
Last 2 Digit = 192= 361 =61 (Carry 3) 
First 2 Digit =81-19+3 =65 
Final Answer =6561 


3) Find the Square of 85. 
Last 2 Digit =25 
First 2 Digit =8*(8+1) =72 

Final Answer =7225

If You find this method easy ..Plz reply me back ! 


©TempleRun(aka VT)