EXP003 · Powers, exponents & logarithms · Classes 5–8
Square Numbers
A square number is a number times itself. It counts the tiles in a square n tiles wide and n tiles tall.
n²Square Numbers
📐 Formula
n² = n × n; consecutive squares differ by odd numbers: (n+1)² − n² = 2n + 1
✏️ Worked example
4² = 4 × 4 = 16 tiles.
🌍 Where it is used
Floor tiling, area of square plots and chessboards (8² = 64).
❓ Quick check
Which is a square number?
🏋️ Practice
Easy7² = ?
Answer: 49
MediumA square garden has 81 tiles. How many tiles along a side?
Answer: 9
ChallengeFind 31² using 30² and the odd-number pattern.
Answer: 900 + 61 = 961