How many right-angled triangles are there with sides that are all
integers less than 100 units?
A square patio was tiled with square tiles all the same size. Some
of the tiles were removed from the middle of the patio in order to
make a square flower bed, but the number of the remaining tiles was
still a square number. What were the dimensions of the patio and
the flower bed?
A woman was born in a year that was a square number, lived a square
number of years and died in a year that was also a square number.
When was she born?
A man completely paved a square courtyard with square tiles. He
decided that it was too small, so he took up the tiles, bought 100
more and used them to pave another square courtyard. All the tiles
were the same size. How many tiles did he use altogether?