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?
How many four digit square numbers are composed of even numerals?
What four digit square numbers can be reversed and become the
square of another number?
This problem is taken from the UKMT Mathematical Challenges.