Shortcut to square any number from 20 to 29

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Shortcut to square any number from(20-29)
Shortcut to square any number from 20 to 29 is an easy way to mentally square any number from 20 to 29. Knowing this trick can of great help especially when squaring a number forms part of a bigger question.
Below are the steps to find square of any number from 20 to 29 in seconds.

Step 1:First add the given number and the unit’s digit.
Step 2:Double the result obtained in step 1.
Step 3:Square the unit’s digit of the number given in question and place it next to the result obtained in step 2.

Examples

Example 1:Find the square of 22 in 5 seconds

22²=?

Step 1:Here the unit’s place digit is 2. Adding unit digit to the given number
we get,22 + 2=24
Step 2:Doubling the result in step1
we get, 24×2=48_
Step 3:Squaring the unit’ place digit
we get,22=4
Now put the result obtained in step 3 in step 2,we get

22²=484

Ans:484 

Example 2:Find the square of 28 in 5 seconds.
28²=?
Step 1:Here the unit’s place digit is 8. Adding unit digit to the given number

we get,28+8=36
Step 2: Doubling the result in step1

we get, 36×2=72_
Step 3:Squaring the unit’ place digit

we get, 82= 64
Put the result obtained in step 2,Now carry forward ten’s place digit(6) to step 2 .
Step 4: Add carry forward from step 3 to result obtained in step 2
we get, 72+6=78
Put the unit’s place digit(4) the derived from step 3 next to result obtained in step 4.
we get, 784
28²=784     

Ans:784

Example 3:Find the square of 23 in 5 seconds

23²=?

Step 1:Here the unit’s place digit is 3. Adding unit digit to the given number
we get,23 +3=26
Step 2:Doubling the result in step1
we get, 26×2=52_
Step 3:Squaring the unit’ place digit
we get,32=9
Now put the result obtained in step 3 in step 2,we get

23²=529

Ans:529

square number from 10 to 19 math trick

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square number from 10 to 19 math trick
Square number from 10 to 19 using this amazing shortcut. Learning new shortcuts is a way to ensure success in competitive exams. To have an edge over others you must ensure that you answer questions fast and with accuracy. Here are the steps to find square of number from 10 to 19 in seconds.

Step 1: First add the given number and the units digit and leave a blank .

Step 2: Then Square the unit’s digit and put the number next to the result obtained in Step 1.

Examples to find square of number from 10 to 19

As they say practice makes a man perfect. Practice the below examples to perfect your skill.
Example-1:Find the square of 13 in 5 seconds
13² = ?
Step 1: Here the unit’s place digit is 3, Adding unit’s place digit to the given number(13)
we get 13 + 3 = 16_
Step 2: Square the unit’s digit
We get, 32 = 9
put the result obtained in step 2 in step 1 we get
13²=169
Ans= 169

Example-2:Find the square of 16 in 5 seconds

16² = ?
Step 1:Here the unit’s place digit is 6, Adding unit’s place digit to the given number(16)
we get, 16 + 6 = 22_
Step 2: Square the unit’s digit

We get, 62 = 36
put the unit’s place digit(6) of the result obtained in step 2 in step 1 as shown below and carry forward ten’s place digit(3) to step 1
226
Step 3: Add carry forward(3) from step 2 to the result obtained in step 1 as below
22+3=25
16²=256
Ans=256
Example-3:Find the square of 14 in 5 seconds
14² = ?
Step 1: Here the unit’s place digit is 4, Adding unit’s place digit to the given number(14)
we get 14 + 4 = 17_
Step 2:Square the unit’s digit
We get, 42 = 16
put the unit’s place digit(6) of the result obtained in step 2 in step 1 as shown below and carry forward ten’s place digit(3) to step 1
176
Step 3: Add carry forward(1) from step 2 to the result obtained in step 1 as below
17+1=18
17²=186
Ans=186
Example-4:Find the square of 12 in 5 seconds
12² = ?
Step 1: Here the unit’s place digit is 2, Adding unit’s place digit to the given number(13)
we get 12 + 2 = 14_
Step 2: Square the unit’s digit
We get, 22 = 4
put the result obtained in step 2 in step 1 we get
12²=144
Ans= 144

How to square a number ending with 5 within seconds

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How to square a number ending with 5 within seconds
Squaring a number ending in 5 is the easiest if you know the trick.
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

Let us now discuss the steps to follow

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

Let us find squares of numbers ending in 5 using this trick

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.

1st digit =1
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

Now you try to square 105,115,135,145,155,165,175,185,195 & see how quickly you can square.