Label this plum tree graph to make it totally magic!
Find all the ways of placing the numbers 1 to 9 on a W shape, with
3 numbers on each leg, so that each set of 3 numbers has the same
A 2-Digit number is squared. When this 2-digit number is reversed
and squared, the difference between the squares is also a square.
What is the 2-digit number?
This looks like a fairly standard problem leading to a simple
algebraic equation that can be solved, however the need to examine
what is happening to each of the digits of the number means that
the solution requires a little more thought and an appreciation of
Being able to generalise this to any year may help convince you
that the structure of the problem is understood.