Squares and Cubes

How to play Squares and Cubes

Choose a level, then press Start game.
Answer the question at the top, for example 13 squared or the square root of 196.
After each answer, the tiles or blocks are drawn to show why.
On Roots between, the leftover tiles show why a root lies between two whole numbers.
A game is twelve questions.

For parents and teachers

The name square number comes from the picture: 49 tiles make a 7 by 7 square, 50 do not. Keeping that picture in mind makes square roots and estimates make sense: the square root of 50 is a little more than 7, because 50 is a little more than 49. Learning the squares up to 20 by heart pays off right through secondary school.

How it works

Square numbers are the tiles that make a square and cube numbers the blocks that make a cube, and every answer here is shown with that picture: 13 squared as a 13 by 13 square of tiles, and the square root of 50 as a 7 by 7 square with tiles left over and not enough for 8 by 8. The levels follow NCERT Ganita Prakash Class 8, A Square and a Cube and Power Play: is it a square number, squares up to 25, square roots, which two whole numbers a square root lies between, and cubes and cube roots.

Practises

Square numbers and square roots

Cube numbers and cube roots

Estimating roots

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How to play Squares and Cubes

For parents and teachers