What is a Square Number?
A square number is the result of multiplying a number by itself.
For example:
- 3×3=93 × 3 = 93×3=9 → So, 9 is the square of 3.
- 15×15=22515 × 15 = 22515×15=225 → So, 225 is the square of 15.
In math terms:
👉 Square of n = n × n
Knowing the square 1 to 100 means you know the squares of all numbers from 1 to 100.
Square 1 to 100 Table (Full Chart):
Here’s a full chart of square 1 to 100 to help you revise quickly:
| Number | Square | Number | Square | Number | Square | Number | Square |
|---|---|---|---|---|---|---|---|
| 1 | 1 | 26 | 676 | 51 | 2601 | 76 | 5776 |
| 2 | 4 | 27 | 729 | 52 | 2704 | 77 | 5929 |
| 3 | 9 | 28 | 784 | 53 | 2809 | 78 | 6084 |
| 4 | 16 | 29 | 841 | 54 | 2916 | 79 | 6241 |
| 5 | 25 | 30 | 900 | 55 | 3025 | 80 | 6400 |
| 6 | 36 | 31 | 961 | 56 | 3136 | 81 | 6561 |
| 7 | 49 | 32 | 1024 | 57 | 3249 | 82 | 6724 |
| 8 | 64 | 33 | 1089 | 58 | 3364 | 83 | 6889 |
| 9 | 81 | 34 | 1156 | 59 | 3481 | 84 | 7056 |
| 10 | 100 | 35 | 1225 | 60 | 3600 | 85 | 7225 |
| 11 | 121 | 36 | 1296 | 61 | 3721 | 86 | 7396 |
| 12 | 144 | 37 | 1369 | 62 | 3844 | 87 | 7569 |
| 13 | 169 | 38 | 1444 | 63 | 3969 | 88 | 7744 |
| 14 | 196 | 39 | 1521 | 64 | 4096 | 89 | 7921 |
| 15 | 225 | 40 | 1600 | 65 | 4225 | 90 | 8100 |
| 16 | 256 | 41 | 1681 | 66 | 4356 | 91 | 8281 |
| 17 | 289 | 42 | 1764 | 67 | 4489 | 92 | 8464 |
| 18 | 324 | 43 | 1849 | 68 | 4624 | 93 | 8649 |
| 19 | 361 | 44 | 1936 | 69 | 4761 | 94 | 8836 |
| 20 | 400 | 45 | 2025 | 70 | 4900 | 95 | 9025 |
| 21 | 441 | 46 | 2116 | 71 | 5041 | 96 | 9216 |
| 22 | 484 | 47 | 2209 | 72 | 5184 | 97 | 9409 |
| 23 | 529 | 48 | 2304 | 73 | 5329 | 98 | 9604 |
| 24 | 576 | 49 | 2401 | 74 | 5476 | 99 | 9801 |
| 25 | 625 | 50 | 2500 | 75 | 5625 | 100 | 10000 |
Why Is “Square 1 to 100” Important for Govt Exams?
Almost every competitive exam includes square-related questions. Here’s how:
- Simplifying calculations in percentage, SI/CI, profit & loss, time & work
- Quick approximations
- Solving quadratic equations
- Square roots and HCF/LCM questions
- Shortcuts in reasoning and mental math
That’s why many toppers recommend memorizing squares from 1 to 100 early in your preparation journey.
Tips & Tricks to Remember Squares Easily:
1. Pattern in Last Digits
Observe how square numbers end:
- Numbers ending in 1 → Square ends in 1 (e.g. 11² = 121)
- Numbers ending in 5 → Square always ends in 25 (e.g. 15² = 225)
2. Use Identity Formula
Use:
(a + b)² = a² + 2ab + b²
For example:
Let’s find 42²
→ 42 = 40 + 2
→ (40 + 2)² = 1600 + 160 + 4 = 1764
3. Learn 1-25 squares first
First 25 squares repeat very frequently. Once you remember them, you’ll find mental calculations much faster.
Examples Using Square Numbers:
Example 1: What is the square of 17?
Solution: 17 × 17 = 289
Example 2: What number has a square of 1225?
Solution: √1225 = 35
Example 3: If a² = 2500, find a.
Solution: a = √2500 = 50
Practice Questions on Squares (with Answers):
Try these out. These are exam-style questions often asked in SSC, Banking, Railways, etc.
1) What is the square of 29?
A) 841
B) 729
C) 961
D) 889
👉 Correct Answer: A) 841
2) Find the number whose square is 9025.
A) 85
B) 95
C) 90
D) 75
👉 Correct Answer: B) 95
3) What is the square of 48?
A) 2025
B) 2401
C) 2304
D) 2024
👉 Correct Answer: C) 2304
4) What is the value of √4225?
A) 65
B) 55
C) 60
D) 70
👉 Correct Answer: A) 65
5) Which of the following is not a perfect square?
A) 1225
B) 1444
C) 2025
D) 2020
👉 Correct Answer: D) 2020
🔁 Downloadable Square 1 to 100 PDF
We’ve created a free downloadable PDF of the full square 1 to 100 table for your offline study.
📝 Download Now – Square 1 to 100 Table PDF
📝 Click Here to Download Important Square Root Chart PDF
📌 Conclusion
Mastering the square 1 to 100 chart is a powerful tool for cracking government job exams. It builds your speed, accuracy, and helps you do mental math faster.
Make it a habit to revise squares daily, especially the first 30-40 numbers, until you become familiar with these numbers. By regularly practicing these you will develop speed while solving quant problems of various Govt Jobs exams.
👉 If you found this blog helpful, share it with your friends who are preparing for SSC, Railway, WBCS, or Banking exams.
