Squares and cubes 1 to 30

Squares and cubes of the numbers 1 to 30, with perfect squares to remember.

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Numbers 1 to 15

A square is a number multiplied by itself: n² = n × n. A cube is n³ = n × n × n.
A perfect square always ends in 0, 1, 4, 5, 6 or 9, never in 2, 3, 7 or 8.
The square of an even number is even, and the square of an odd number is odd.
Square roots: √144 = 12, √225 = 15, √400 = 20, √900 = 30. Cube roots: ∛1000 = 10, ∛27000 = 30.
To square a number ending in 5, take the tens digit n, work out n × (n + 1), and write 25 after it: 35² = (3 × 4) then 25 = 1225.