Investigation: squares on a chessboard

How many squares are there on a chessboard?  Lots of people think the answer is 64, but in fact you can find 204 squares.  There are 64 single squares, but there are also squares of other sizes, made from single squares.  There is of course one big square (the whole board) which contains all 64 small squares, but there are lots more.  The board above shows how many squares you can find of each size.

We will continue to learn interesting things next week.  The end of exams does not mean the end of learning!