How many squares can you make on a chess board?

Today we have been investigating how many different ways you can make a square on a chess board.

At first we thought it was 64, but it turns out that there is a lot more.

 

What if….

  • What if the grid was 12 x 12?
  • What if the grid was any number x any number?
  • Can you find a rule to apply to all grids no matter what the size so that no one has to count any more squares?

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