Square tricks and tips of Natural numbers (101 to 199) for competitive exams

Now I am going to guide you for faster calculation of square with the help of some tricks. If you have prepared the procedure/ trick for the square of natural numbers from 25 to 100 then this tricky method of calculation of square of numbers more than 100 will help you to save your time in calculation and save your precious time,
 Let's see this trick and practice it for fastest calculation. 

In this range we use the trick which uses 100 & the number itself

Method :-

Step 1^st :- Subtract 100 from the numbers  & get the difference.

Step 2^nd :- Now add the above difference in the number  & get the result.

Step 3^rd :- Now follow the above result with the square of the difference of 1^st step in 2- digit only.

Demonstration of above method:-

101² →   Step 1^st    101 – 100 = 01

             Step 2^nd   101 + 01 = 102

             Step 3^rd   Arrange it like this 102(01)² → 10201

Get the required answer 101² = 10201

102² →   Step 1^st    102 – 100 = 02

             Step 2^nd   102 + 02 = 104

             Step 3^rd   Arrange it like this 104(02)² → 10404

Get the required answer 102² = 10404

103² →   Step 1^st    103 – 100 = 03

             Step 2^nd   103 + 03 = 106

             Step 3^rd   Arrange it like this 106(03)² → 10609

Get the required answer 103² = 10609

104² →   Step 1^st    104 – 100 = 04

             Step 2^nd   104 + 04 = 108

             Step 3^rd   Arrange it like this 108(04)² → 10816

Get the required answer 104² = 10816

106² →   Step 1^st    106 – 100 = 06

             Step 2^nd   106 + 06 = 112

             Step 3^rd   Arrange it like this 88(06)² → 11236

Get the required answer 106² = 11236

107² →   Step 1^st    107 – 100 = 07

             Step 2^nd   107 + 07 = 114

             Step 3^rd   Arrange it like this 114(07)² → 11449

Get the required answer 107² = 11449

108² →   Step 1^st    108 – 100 = 08

             Step 2^nd   108 +  08 = 116

             Step 3^rd   Arrange it like this 116(08)² → 11664

Get the required answer 108² = 11664

109² →   Step 1^st    109 – 100 = 09

             Step 2^nd   109 + 09 = 118

             Step 3^rd   Arrange it like this 118(09)² → 11881

Get the required answer 109² = 11881

111² →   Step 1^st    111 – 100 = 11

             Step 2^nd   111 + 11 = 122

             Step 3^rd   Arrange it like this 122(11)² → 122(121) →12 (2+1) 21 →12321

Get the required answer 111² = 12321

112² →   Step 1^st    112 – 100 = 12

             Step 2^nd   112 + 12 = 124

             Step 3^rd   Arrange it like this 124(12)² → 124(144) → 12 (4+1)  44 →12544

Get the required answer 112² = 12544

113² →   Step 1^st    113 – 100 = 13

             Step 2^nd   113 + 13 = 126

             Step 3^rd   Arrange it like this 126(13)² → 126(169) →12 (6+1) 69 →12769

Get the required answer 113² = 12769

114² →   Step 1^st    114 – 100 = 14

             Step 2^nd   114 + 14 = 128

             Step 3^rd   Arrange it like this 128(14)² → 128(196) →12 (8+1) 96 →12996

Get the required answer 114² = 12996

126² →   Step 1^st    126 – 100 = 26

             Step 2^nd   126 + 26 = 152

             Step 3^rd   Arrange it like this 152(26)² → 152(676) →15 (2+6) 76 →15876

Get the required answer 152² = 15876

136² →   Step 1^st    136 – 100 = 36

             Step 2^nd   136 + 36 = 172

        Step 3^rd   Arrange it like this 172(36)² → 172(1296) →1 (72+12) 96 →18496

Get the required answer 136² = 18496

149² →   Step 1^st    149 – 100 = 49

             Step 2^nd   149 + 49 = 198

       Step 3^rd   Arrange it like this 198(49)² → 198(2401) →   (198+24) 01 → 22201

Get the required answer 149² = 22201

154² →   Step 1^st    154 – 100 = 54

             Step 2^nd   154 + 54 = 208

      Step 3^rd   Arrange it like this 208(54)² → 208(2916) →2 (08 + 29) 16 →23716

Get the required answer 154² = 23716

186² →   Step 1^st    186 – 100 = 86

             Step 2^nd   186 + 86 = 272

    Step 3^rd   Arrange it like this 272(86)² → 272(7396) → (272+73) 96 →34596

Get the required answer 186² = 34596

199² →   Step 1^st    199 – 100 = 99

             Step 2^nd   199 + 99 = 298

     Step 3^rd   Arrange it like this 298(99)² → 298(9801) → (298+98) 01 → 39601

Get the required answer 199² = 39601

To be continued like this upto 199 only (this trick is valid for 101 to 199 only)