Here is mathematical trick to square any 2 digit number without the help of pen/ pencil in few seconds. Shortcut tricks are very helpful for fast
calculations in competitive exams as time allotted
is too less for lengthy calculations. So shortcut tricks helps us to
solve questions is very less time hence improving chances of getting
good score and higher rank in merit.
Square Any Two Digit Number in Seconds
For a squaring a number which ends with 5, follow link below:
For any other two digit number follow steps below:
- First look for the nearest 10 boundary of number (like for 48 its 50)
- As we went two up so write a number two below this number. ( number two below 48 is 46)
- Now multiply 46 to 50. (46 * 50 = 2300). This is our answer 1.
- As 48 is 2 number away from 50 so find square of 2 = 4. This is our answer 2.
- Now add answer 1 and answer 2. 2300 + 4 = 2304. This is our final answer.
Eg. 1:
(24)2
Step -1 => 20 is nearest number.
Step -2 => As we move down by 4 numbers so 4 number above 24 is 28.
Step -3 => 28 * 20 = 560 (Answer 1)
Step -4 => As 24 is 4 numbers away from 20. So square of 4 = 16. (Answer 2).
Step -5 =>Now Answer 1 + Answer 2 = 560 + 16 = 574.
Hence (24)2 = 574. (Ans)
Eg. 2:
(57)2
Step -1 => 60 is nearest number.
Step -2 => As we move up by 3 numbers so 3 number below 57 is 54.
Step -3 => 54 * 60 = 3240 (Answer 1)
Step -4 => As 57 is 3 numbers away from 60. So square of 3 = 9. (Answer 2).
Step -5 =>Now Answer 1 + Answer 2 = 3240 + 9 = 3249
Hence (57)2 = 3249. (Ans)
To understand it better watch this video
Try it yourself:
- (27)2 =
- (52)2 =
- (63)2 =
- (74)2 =
- (88)2 =
Mathematics is all about practice. Practice more and more problems of this type to improve your speed.
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