Investigate how you can work out what day of the week your birthday
will be on next year, and the year after...
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
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.