FINDING SQUARES

 

SQUARES TRICKS

Above 100:

1032 = 10609

Step 1. Add the number to the ones digit:

103 + 3 = 106

Step 2. Square the ones digit number (if the result is a single digit

put a 0 in front of it):

3^2 = 09

Step 3. Place the result from Step 2 next to the result from Step 1:

10609

Below 100:

972 = 9409

Step 1. Subtract the number from 100: 100- 97 = 3

Step 2. Subtract the number (from Step 1) from original number:

97-3 =94

Step 3. Square the result from Step 1 (if the result is a single digit

put a 0 in front of it): 3^2 = 09

Step 4. Place the result from Step 3 next to the result from Step 2:

9409

Below 50:

482 = 2304

Step 1. Subtract the number from 50: 50-48=2

Step 2. Subtract the result (from Step 1) from 25: 25-2 =23

Step 3. Square the result from Step 1 if the result is a single digit

put a 0 in front of it): 

2^2 = 04

Step 4. Place the result from Step 3 next to the result from Step 2:

2304

 Above 50:

532 = 2809

Step 1. Add 25 to the ones digit: 25 + 3 = 28

Step 2. Square the ones digit number (if the result is a single digit

put a 0 in front of it): 3^2 = 09

Step 3. Place the result from Step 2 next to the result from Step 1:

2809

Important Points:

Condition for Perfect square:

 2,3,7,8 should not be unit digit.

 1,4,7,9 should be digital sum.

 Last two digits must be same as the last two digits

of square of 1-24.

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