Square and Cube Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on square and cube numbers, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, building from squares and cubes up to higher powers, mixed calculations and worded patio and box problems.
A square number is what you get when you multiply a number by itself, and it is called that because that many dots really do make a square. A cube number is a number multiplied by itself three times, and those dots make a cube. Holding on to the picture is the difference between recalling these and reconstructing them under pressure.
What is on the sheet
Squares first, then cubes, which get large quickly and are worth writing out in full rather than reaching for. Then higher powers, so that the notation is read as an instruction rather than a label. The later questions mix powers into ordinary calculations, which is where they usually appear in an exam question, and it closes on two worded questions about area and volume, the places these numbers come from in the first place.
Marking it
The square and cube numbers lesson builds both from the shapes they are named after.
Keep going
More number properties practice
Prime Numbers — Free KS3 Worksheet
A free, printable KS3 worksheet on prime numbers, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from spotting small primes up to working out how far you actually have to test.
Factors and Multiples — Free KS3 Worksheet
A free, printable KS3 worksheet on factors and multiples, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from listing factors and multiples up to knowing exactly where to stop.
Square and Cube Roots — Free KS3 Worksheet
A free, printable KS3 worksheet on square and cube roots, with a full worked answer key. 15 questions graded easy to hard for Years 7, 8 and 9, building from square roots and cube roots up to estimating a root that isn't exact, and worded garden and box problems.
Want all 8 number properties worksheets at once?
One PDF, 125 questions, every answer key included, in teaching order. Every sheet in it is free on its own page too. The pack just saves you collecting them one at a time.