Last updated: 24 October 2026. Squares, square roots, cubes and cube roots save precious time in the Mathematics section of AISSEE, RMS CET and JNVST. Learn the tables below by heart; the charts that follow are for quick revision.
Squares from 1 to 30
n | n² | n | n² | n | n² |
|---|---|---|---|---|---|
1 | 1 | 11 | 121 | 21 | 441 |
2 | 4 | 12 | 144 | 22 | 484 |
3 | 9 | 13 | 169 | 23 | 529 |
4 | 16 | 14 | 196 | 24 | 576 |
5 | 25 | 15 | 225 | 25 | 625 |
6 | 36 | 16 | 256 | 26 | 676 |
7 | 49 | 17 | 289 | 27 | 729 |
8 | 64 | 18 | 324 | 28 | 784 |
9 | 81 | 19 | 361 | 29 | 841 |
10 | 100 | 20 | 400 | 30 | 900 |
Cubes from 1 to 15
n | n³ | n | n³ | n | n³ |
|---|---|---|---|---|---|
1 | 1 | 6 | 216 | 11 | 1331 |
2 | 8 | 7 | 343 | 12 | 1728 |
3 | 27 | 8 | 512 | 13 | 2197 |
4 | 64 | 9 | 729 | 14 | 2744 |
5 | 125 | 10 | 1000 | 15 | 3375 |
Quick Facts
A perfect square never ends in 2, 3, 7 or 8.
The square of an even number is even; the square of an odd number is odd.
Square root of a perfect square ending in 6 ends in 4 or 6; ending in 9 ends in 3 or 7.
To find √ quickly, use prime factorisation: √144 = √(2×2×2×2×3×3) = 2×2×3 = 12.
Square of a number ending in 5: for 35², 3×4 = 12, then add 25 → 1225.
Revision Charts
Frequently Asked Questions
Why should students learn squares up to 30?
Many area, Pythagoras-style and simplification questions use them, and knowing them saves several minutes in the exam.
Are squares and roots in the Sainik School syllabus?
Yes. Squares and square roots are part of AISSEE and RMS Class 9 maths, and quick squares help in Class 6 arithmetic too.
