Square tricks and tips of Natural numbers (201 - 299) 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 200 then this tricky method of calculation of square of numbers more than 200 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 200 & the number itself

Method :-

Step 1^st :- Subtract 200 from the numbers  & get the difference.

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

Step 3^rd :- Now multiply above result by 2 to get the product.

Step 4^th :- Now follow the above product with the square of the difference of 1^st step in 2- digit only

Demonstration of above method:-

201² →   Step 1^st    201 – 200 = 01

               Step 2^nd   201 + 01 = 202

               Step 3^rd   202 × 02 = 404

               Step 4^th    Arrange it like this 404(01)² → 40401

Get the required answer 201² = 40401

202² →   Step 1^st    202 – 200 = 02

                Step 2^nd   202 + 02 = 204

                Step 3^rd   204 × 02 = 408

                Step 4^th    Arrange it like this 408(02)² → 40804

Get the required answer 202² = 40804

203² →   Step 1^st    203 – 200 = 03

                Step 2^nd   203 + 03 = 206

                Step 3^rd   206 × 02 = 412

                Step 4^th  Arrange it like this 412(03)² → 41209

Get the required answer 203² = 41209

204² →   Step 1^st    204 – 200 = 04

                Step 2^nd   204 + 04 = 208

                Step 3^rd   208 × 02 = 416  

                Step 4^th  Arrange it like this 416(04)² → 41616

Get the required answer 204² = 41616

206² →   Step 1^st    206 – 200 = 06

                Step 2^nd   206 + 06 = 212

                Step 3^rd   212 × 02 = 424              

                Step 4^th   Arrange it like this 424(06)² → 42436

Get the required answer 206² = 42436

207² →   Step 1^st    207 – 200 = 07

                Step 2^nd   207 + 07 = 214

                Step 3^rd   214 × 02 = 428

                Step 4^th   Arrange it like this 428(07)² → 42849

Get the required answer 207² = 42849

208² →   Step 1^st    208 – 200 = 08

                Step 2^nd   208 +  08 = 216

                Step 3^rd   216 × 02 = 432

                Step 4^th   Arrange it like this 432(08)² → 43264

Get the required answer 208² = 43264

209² →   Step 1^st    209 – 200 = 09

                Step 2^nd   209 + 09 = 218

                Step 3^rd   218 × 02 = 436

                Step 4^th   Arrange it like this 436(09)² → 43681

Get the required answer 209² = 43681

211² →   Step 1^st    211 – 200 = 11

                Step 2^nd   211 + 11 = 222

                Step 3^rd   222 × 02 = 444

                Step 4^th   Arrange it like this 444(11)² → 444(121) → 44 (4+1) 21 →44521

Get the required answer 211² = 44521

212² →   Step 1^st    212 – 200 = 12

                  Step 2^nd   212 + 12 = 224

                  Step 3^rd   224 × 02 = 448

                  Step 4^th  Arrange it like this 448(12)² → 448(144) → 44(8+1) 44 →44944

Get the required answer 212² = 44944

213² →   Step 1^st    213 – 200 = 13

                Step 2^nd   213 + 13 = 226

                Step 3^rd   226 × 02 = 452

                Step 4^th   Arrange it like this 452(13)² → 452(169) →45 (2+1) 69 →45369

Get the required answer 213² = 45369

214² →   Step 1^st    214 – 200 = 14

                Step 2^nd   214 + 14 = 228

                Step 3^rd   228 × 02 = 456

                Step 4^th   Arrange it like this 456(14)² → 456(196) →45 (6+1) 96 →45796

Get the required answer 214² = 45796

226² →   Step 1^st    226 – 200 = 26

                Step 2^nd   226 + 26 = 252

                Step 3^rd   252 × 02 = 504

                Step 4^th    Arrange it like this 504(26)² → 504(676) →5 (04+6) 76 →51076

Get the required answer 226² = 51076

236² →   Step 1^st    236 – 200 = 36

                Step 2^nd   236 + 36 = 272

                Step 3^rd   272 × 02 = 544

                Step 4^th  Arrange it like this 544(36)² → 544(1296) →5 (44+12) 96 →55696

Get the required answer 236² = 55696

249² →   Step 1^st    249 – 200 = 49

                Step 2^nd   249 + 49 = 298

                Step 3^rd   298 × 02 = 596

                Step 4^th   Arrange it like this 596(49)² → 596(2401) →   (596+24) 01 → 62001

Get the required answer 249² = 62001

254² →   Step 1^st    254 – 200 = 54

                Step 2^nd   254 + 54 = 308

                Step 3^rd   308 × 02 = 616

                Step 4^th   Arrange it like this 616(54)² → 616(2916) →6 (16 + 29) 16 →64516

Get the required answer 254² = 64516

286² →   Step 1^st    286 – 200 = 86

               Step 2^nd   286 + 86 = 372

               Step 3^rd   372 × 02 = 744

               Step 4^th   Arrange it like this 744(86)² → 744(7396) → (744+73) 96 →81796

Get the required answer 286² = 81796

299² →   Step 1^st    299 – 200 = 99

                Step 2^nd   299 + 99 = 398

                Step 3^rd   398 × 02 = 796

                Step 4^th   Arrange it like this 796(99)² → 796(9801) → (796+98) 01 → 89401

Get the required answer 299² = 89401

To be continued like this upto 299 only (this trick is valid for 201 to 299)