If a number is multiplied by the same number, then the obtained number is called the square of that number.
(किसी संख्या को यदि उसी संख्या से गुणा किया जाए तो प्राप्त संख्या उसी संख्या का वर्ग कहलाती है।)
On squaring a number, the number of digits in it is 2n or (2n -1).
(किसी संख्या का वर्ग करने पर उसमें अंको की संख्या 2n या (2n –1) होती है।)
List of Square 1 to 50
The square from 1 to 50 is the square of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49 and 50. These square helps us to easily solve various mathematical calculations. The square of the numbers from 1 to 50 ranges from 1 to 2500.
Square From 1 to 10
The square from 1 to 10 is the square of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
| Square 1 to 10 | ||
| 12 | 1 × 1 | 1 |
| 22 | 2 × 2 | 4 |
| 32 | 3 × 3 | 9 |
| 42 | 4 × 4 | 16 |
| 52 | 5 × 5 | 25 |
| 62 | 6 × 6 | 36 |
| 72 | 7 × 7 | 49 |
| 82 | 8 × 8 | 64 |
| 92 | 9 × 9 | 81 |
| 102 | 10 × 10 | 100 |
Square From 11 to 20
The square from 11 to 20 is the square of the numbers 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20.
| Square 11 to 20 | ||
| 112 | 11 × 11 | 121 |
| 122 | 12 × 12 | 144 |
| 132 | 13 × 13 | 169 |
| 142 | 14 × 14 | 196 |
| 152 | 15 × 15 | 225 |
| 162 | 16 × 16 | 256 |
| 172 | 17 × 17 | 289 |
| 182 | 18 × 18 | 324 |
| 192 | 19 × 19 | 361 |
| 202 | 20 × 20 | 400 |
Square From 21 to 30
The square from 21 to 30 is the square of the numbers 21, 22, 23, 24, 25, 26, 27, 29 and 30.
| Square 21 to 30 | ||
| 212 | 21 × 21 | 441 |
| 222 | 22 × 22 | 484 |
| 232 | 23 × 23 | 529 |
| 242 | 24 × 24 | 576 |
| 252 | 25 × 25 | 625 |
| 262 | 26 × 26 | 676 |
| 272 | 27 × 27 | 729 |
| 282 | 28 × 28 | 784 |
| 292 | 29 × 29 | 841 |
| 302 | 30 × 30 | 900 |
Square From 31 to 40
The square from 31 to 40 is the square 31, 32, 33, 34, 35, 36, 37, 38, 39 and 40.
| Square 31 to 40 | ||
| 312 | 31 × 31 | 961 |
| 322 | 32 × 32 | 1024 |
| 332 | 33 × 33 | 1089 |
| 342 | 34 × 34 | 1156 |
| 352 | 35 × 35 | 1225 |
| 362 | 36 × 36 | 1296 |
| 372 | 37 × 37 | 1369 |
| 382 | 38 × 38 | 1444 |
| 392 | 39 × 39 | 1521 |
| 402 | 40 × 40 | 1600 |
Square From 41 to 50
The square from 41 to 50 is the square 41, 42, 43, 44, 45, 46, 47, 48, 49 and 50.
| Square 41 to 50 | ||
| 412 | 41 × 41 | 1681 |
| 422 | 42 × 42 | 1764 |
| 432 | 43 × 43 | 1849 |
| 442 | 44 × 44 | 1936 |
| 452 | 45 × 45 | 2025 |
| 462 | 46 × 46 | 2116 |
| 472 | 47 × 47 | 2209 |
| 482 | 48 × 48 | 2304 |
| 492 | 49 × 49 | 2401 |
| 502 | 50 × 50 | 2500 |
How to learn Square From 41 to 50 (Trick)
412 = 1681 [Explain 16 and (09)2 = 1681]
422 = 1764 [Explain 17 and (08)2 = 1764]
432 = 1889 [Explain 18 and (07)2 = 1849]
442 = 1936 [Explain 19 and (06)2 = 1936]
452 = 2025 [Explain 20 and (05)2 = 2025]
462 = 2116 [Explain 21 and (04)2 = 2116]
472 = 2209 [Explain 22 and (03)2 = 2209]
482 = 2304 [Explain 23 and (02)2 = 2304]
492 = 2401[Explain 24 and (01)2 = 2401]
502 = 2500 [Explain 25 and (00)2 = 2500]
Square 1 to 50 Chart (Even Numbers)
The Even Numbers From 1 to 50 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48 and 50. Learning the square of even numbers from 1 to 50 is very important. The following table contains the squares 1 to 50 for even numbers.
| Square 1 to 50 (Even Numbers) | ||
| 22 | 2 × 2 | 4 |
| 42 | 4 × 4 | 16 |
| 62 | 6 × 6 | 36 |
| 82 | 8 × 8 | 64 |
| 102 | 10 × 10 | 100 |
| 122 | 12 × 12 | 144 |
| 142 | 14 × 14 | 196 |
| 162 | 16 × 16 | 256 |
| 182 | 18 × 18 | 324 |
| 202 | 20 × 20 | 400 |
| 222 | 22 × 22 | 484 |
| 242 | 24 × 24 | 576 |
| 262 | 26 × 26 | 676 |
| 282 | 28 × 28 | 784 |
| 302 | 30 × 30 | 900 |
| 322 | 32 × 32 | 1024 |
| 342 | 34 × 34 | 1156 |
| 362 | 36 × 36 | 1296 |
| 382 | 38 × 38 | 1444 |
| 402 | 40 × 40 | 1600 |
| 422 | 42 × 42 | 1764 |
| 442 | 44 × 44 | 1936 |
| 462 | 46 × 46 | 2116 |
| 482 | 48 × 48 | 2304 |
| 502 | 50 × 50 | 2500 |
Square 1 to 50 Chart (Odd Numbers)
The Odd Numbers from 1 to 50 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39 41, 43, 45, 47 and 49. Learning the square of odd numbers from 1 to 50 is very important. The following table contains the squares 1 to 50 for odd numbers.
| Square 1 to 50 (ODD Numbers) | ||
| 12 | 1 × 1 | 1 |
| 32 | 3 × 3 | 9 |
| 52 | 5 × 5 | 25 |
| 72 | 7 × 7 | 49 |
| 92 | 9 × 9 | 81 |
| 112 | 11 × 11 | 121 |
| 132 | 13 × 13 | 169 |
| 152 | 15 × 15 | 225 |
| 172 | 17 × 17 | 289 |
| 192 | 19 × 19 | 361 |
| 212 | 21 × 21 | 441 |
| 232 | 23 × 23 | 529 |
| 252 | 25 × 25 | 625 |
| 272 | 27 × 27 | 729 |
| 292 | 29 × 29 | 841 |
| 312 | 31 × 31 | 961 |
| 332 | 33 × 33 | 1089 |
| 352 | 35 × 35 | 1225 |
| 372 | 37 × 37 | 1369 |
| 392 | 39 × 39 | 1521 |
| 412 | 41 × 41 | 1681 |
| 432 | 43 × 43 | 1849 |
| 452 | 45 × 45 | 2025 |
| 472 | 47 × 47 | 2209 |
| 492 | 49 × 49 | 2401 |
Square 1 to 50 Chart
| Square 1 to 50 Chart | ||||
| 12 = 1 | 112 = 121 | 212 = 441 | 312 = 961 | 412 = 1681 |
| 22 = 4 | 122 = 144 | 222 = 484 | 322 = 1024 | 422 = 1764 |
| 32 = 9 | 132 = 169 | 232 = 529 | 332 = 1089 | 432 = 1849 |
| 42 = 16 | 142 = 196 | 242 = 576 | 342 = 1156 | 442 = 1936 |
| 52 = 25 | 152 = 225 | 252 = 625 | 352 = 1225 | 452 = 2025 |
| 62 = 36 | 162 = 256 | 262 = 676 | 362 = 1296 | 462 = 2116 |
| 72 = 49 | 172 = 289 | 272 = 729 | 372 = 1369 | 472 = 2209 |
| 82 = 64 | 182 = 324 | 282 = 784 | 382 = 1444 | 482 = 2304 |
| 92 = 81 | 192 = 361 | 292 = 841 | 392 = 1521 | 492 = 2401 |
| 102 = 100 | 202 = 400 | 302 = 900 | 402 = 1600 | 502 = 2500 |
List of Square 1 to 50 Chart.
Square 1 to 50.
List of Square 1 to 50 (PDF Download)
Click here to PDF Download
Solved Examples on Square 1 to 50.
learn Square 1 to 50.
Example 1: Find the area of the circular park whose radius is 49 m.
Solution:
Given,
Radius of Park = 49 m
Area of Circular Park(A) = πr2
A = π (49)2
Using the square of 49 from the square 1 to 50 table
492 = 2401
A = 22/7(2401)
A = 7546 m2
Thus, the area of the circular park is 7546 m2
Example 2: Find how much glass is required to cover the square window of side 45 cm.
Solution:
Given,
Side of Square Window(s) = 45 cm
Area of Square Window(A) = (s)2
A = (45)2
Using the square of 45 from the square of 1 to 50 table
452 = 4225
A = 4225 cm2
Thus, the glass required to cover the square window is 4225 cm2
Square 1 to 50
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