Squares 1 to 30 Table for Bank Exams
Squares up to 30 turn up in simplification, approximation, number series, quadratics and data interpretation. Knowing them by heart saves seconds on every one of those questions.
Tricks to remember them
- A square only ends in 0, 1, 4, 5, 6 or 9. If an option ends in 2, 3, 7 or 8, it can’t be a perfect square.
- A number ending in 5: n5² = n × (n + 1), then write 25. 25² = 2 × 3 = 6 → 625. 35² = 3 × 4 = 12 → 1225.
- The next square: (n + 1)² = n² + 2n + 1. 17² = 289, so 18² = 289 + 35 = 324.
- Teens: (10 + a)² = 100 + 20a + a². 14² = 100 + 80 + 16 = 196.
Where squares help in the exam
- Simplification: a² − b² = (a + b)(a − b), so 32² − 22² = 54 × 10 = 540.
- Approximation: round a square root to the nearest perfect square, √780 ≈ 28 because 28² = 784.
- Number series: look for n², n² + 1 or n² − 1 when terms grow slowly at first and then fast.
- Quadratic equations: x² = k gives x = +√k and −√k.
Squares 1–30
- 1²
- 1
- 2²
- 4
- 3²
- 9
- 4²
- 16
- 5²
- 25
- 6²
- 36
- 7²
- 49
- 8²
- 64
- 9²
- 81
- 10²
- 100
- 11²
- 121
- 12²
- 144
- 13²
- 169
- 14²
- 196
- 15²
- 225
- 16²
- 256
- 17²
- 289
- 18²
- 324
- 19²
- 361
- 20²
- 400
- 21²
- 441
- 22²
- 484
- 23²
- 529
- 24²
- 576
- 25²
- 625
- 26²
- 676
- 27²
- 729
- 28²
- 784
- 29²
- 841
- 30²
- 900
More shortcuts and tables
Looking for the exam itself? See the exam patterns for SBI, IBPS and RRB.