Squares 1 to 100 : Chart, Perfect Squares and Solved Examples
Squares 1 to 100
Whether you’re appearing for a competitive exam or a school exam, squares are often a confusing bunch. But in these tests, the speed of solving the problems matters a lot, which is why understanding the value of squares 1 to 100 is a great move.
Squares 1 to 100 Chart
The chart below shows the squares of numbers from 1 to 100, which you can easily glance over.
| Number | Square | Number | Square | Number | Square | Number | Square | Number | Square |
| 1 | 1 | 21 | 441 | 41 | 1681 | 61 | 3721 | 81 | 6561 |
| 2 | 4 | 22 | 484 | 42 | 1764 | 62 | 3844 | 82 | 6724 |
| 3 | 9 | 23 | 529 | 43 | 1849 | 63 | 3969 | 83 | 6889 |
| 4 | 16 | 24 | 576 | 44 | 1936 | 64 | 4096 | 84 | 7056 |
| 5 | 25 | 25 | 625 | 45 | 2025 | 65 | 4225 | 85 | 7225 |
| 6 | 36 | 26 | 676 | 46 | 2116 | 66 | 4356 | 86 | 7396 |
| 7 | 49 | 27 | 729 | 47 | 2209 | 67 | 4489 | 87 | 7569 |
| 8 | 64 | 28 | 784 | 48 | 2304 | 68 | 4624 | 88 | 7744 |
| 9 | 81 | 29 | 841 | 49 | 2401 | 69 | 4761 | 89 | 7921 |
| 10 | 100 | 30 | 900 | 50 | 2500 | 70 | 4900 | 90 | 8100 |
| 11 | 121 | 31 | 961 | 51 | 2601 | 71 | 5041 | 91 | 8281 |
| 12 | 144 | 32 | 1024 | 52 | 2704 | 72 | 5184 | 92 | 8464 |
| 13 | 169 | 33 | 1089 | 53 | 2809 | 73 | 5329 | 93 | 8649 |
| 14 | 196 | 34 | 1156 | 54 | 2916 | 74 | 5476 | 94 | 8836 |
| 15 | 225 | 35 | 1225 | 55 | 3025 | 75 | 5625 | 95 | 9025 |
| 16 | 256 | 36 | 1296 | 56 | 3136 | 76 | 5776 | 96 | 9216 |
| 17 | 289 | 37 | 1369 | 57 | 3249 | 77 | 5929 | 97 | 9409 |
| 18 | 324 | 38 | 1444 | 58 | 3364 | 78 | 6084 | 98 | 9604 |
| 19 | 361 | 39 | 1521 | 59 | 3481 | 79 | 6241 | 99 | 9801 |
| 20 | 400 | 40 | 1600 | 60 | 3600 | 80 | 6400 | 100 | 10000 |
Perfect Square from 1 to 100
The term perfect square means that a number can be obtained by multiplying the same number twice, and there are some perfect squares from 1 to 100. Here is a list for that.
There are 10 perfect squares from 1 to 100; they are:
- 1 = 1 × 1
- 4 = 2 × 2
- 9 = 3 × 3
- 16 = 4 × 4
- 25 = 5 × 5
- 36 = 6 × 6
- 49 = 7 × 7
- 64 = 8 × 8
- 81 = 9 × 9
- 100 = 10 × 10
Square 1 to 100 – Even Numbers
Here’s a list of maths 1 to 100 squares for even numbers.
| Even Number² | Value | Even Number² | Value |
| 2² | 4 | 52² | 2704 |
| 4² | 16 | 54² | 2916 |
| 6² | 36 | 56² | 3136 |
| 8² | 64 | 58² | 3364 |
| 10² | 100 | 60² | 3600 |
| 12² | 144 | 62² | 3844 |
| 14² | 196 | 64² | 4096 |
| 16² | 256 | 66² | 4356 |
| 18² | 324 | 68² | 4624 |
| 20² | 400 | 70² | 4900 |
| 22² | 484 | 72² | 5184 |
| 24² | 576 | 74² | 5476 |
| 26² | 676 | 76² | 5776 |
| 28² | 784 | 78² | 6084 |
| 30² | 900 | 80² | 6400 |
| 32² | 1024 | 82² | 6724 |
| 34² | 1156 | 84² | 7056 |
| 36² | 1296 | 86² | 7396 |
| 38² | 1444 | 88² | 7744 |
| 40² | 1600 | 90² | 8100 |
| 42² | 1764 | 92² | 8464 |
| 44² | 1936 | 94² | 8836 |
| 46² | 2116 | 96² | 9216 |
| 48² | 2304 | 98² | 9604 |
| 50² | 2500 | 100² | 10000 |
Square 1 to 100 – Odd Numbers
Here is a list of odd numbers as well.
| Odd Number² | Value | Odd Number² | Value |
| 1² | 1 | 51² | 2601 |
| 3² | 9 | 53² | 2809 |
| 5² | 25 | 55² | 3025 |
| 7² | 49 | 57² | 3249 |
| 9² | 81 | 59² | 3481 |
| 11² | 121 | 61² | 3721 |
| 13² | 169 | 63² | 3969 |
| 15² | 225 | 65² | 4225 |
| 17² | 289 | 67² | 4489 |
| 19² | 361 | 69² | 4761 |
| 21² | 441 | 71² | 5041 |
| 23² | 529 | 73² | 5329 |
| 25² | 625 | 75² | 5625 |
| 27² | 729 | 77² | 5929 |
| 29² | 841 | 79² | 6241 |
| 31² | 961 | 81² | 6561 |
| 33² | 1089 | 83² | 6889 |
| 35² | 1225 | 85² | 7225 |
| 37² | 1369 | 87² | 7569 |
| 39² | 1521 | 89² | 7921 |
| 41² | 1681 | 91² | 8281 |
| 43² | 1849 | 93² | 8649 |
| 45² | 2025 | 95² | 9025 |
| 47² | 2209 | 97² | 9409 |
| 49² | 2401 | 99² | 9801 |
How to Calculate the Values of Squares 1 to 100?
There are two ways you can calculate the squares between 1 and 100; the first method is how it normally works, but the second method is for bigger numbers.
- Multiplication by itself: You can multiply the number, let’s say 10, by 10 itself and get 100 and find the square.
- Algebraic identities: If you get a bigger number, that is 99, in an exam, the calculation becomes complicated and time-consuming, and using algebraic identities solves the crisis.
(99)2
= (100-1)2
= (a + b)² = a² – 2ab + b²
= 1002 – 2x100x1 + 12
= 10000 – 200 + 1
= 9801
Solved Examples on Square 1 to 100
Example 1: Normal Method
- Find the square of 24.
- Solution:
24² = 24 × 24
= 576 - So, the square of 24 is 576.
Example 2: Algebraic Method
- Find the square of 48 using algebraic identity.
- Use the identity:
(a + b)² = a² + 2ab + b² - 48² = (50 − 2)²
- = 50² − 2 × 50 × 2 + 2²
= 2500 − 200 + 4
= 2304 - So, the square of 48 is 2304.
Conclusion
Learning squares 1 to 100 is a game-changer when it comes to competitive exams or school exams; manual calculation, unless the numbers are too long, can be a waste of time, and knowing the square list 1 to 100 can be the difference between an A and a B.
Here at Turito, we teach our students how they can easily score higher on maths by focusing on their weak points in our 1-1 coaching. If you feel like you need help, join Turito today!
FAQs
What is the Value of Squares 1 to 100?
The square 1 to 100 is the list of integers you get when you multiply an integer by itself (z × z). It will always be a number that is greater than zero. The squares of 1 to 100 range from 1 (which is 1²) all the way up to 10,000 (which is 100²). Since any integer multiplied by itself is always positive, all perfect squares are greater than zero. A useful pattern to note is that the square of an even number is always even, and the square of an odd number is always odd.
What are the Methods to Calculate Squares from 1 to 100?
There are two methods to calculate squares from 1 to 100.
Find a Square by Multiplication
Finding Squares Using the Algebraic Identities
How many perfect squares are there between 1 and 100?
There are 10 perfect squares between 1 and 100, namely 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
How Many Numbers in Squares 1 to 100 are Odd?
There are 50 off numbers in 1 to 100, namely 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.
What is the Sum of all Perfect Squares from 1 to 100?
The sum of all perfect squares from 1 to 100 is 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 = 385.
What Values of Squares from 1 to 100 are Between 30 and 50?
The numbers 36 and 49 are the squares of numbers between 30 and 50.
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