A little mouse called Delia lives in a hole in the bottom of a
tree.....How many days will it be before Delia has to take the same
Investigate the number of paths you can take from one vertex to
another in these 3D shapes. Is it possible to take an odd number
and an even number of paths to the same vertex?
This drawing shows the train track joining the Train Yard to all
the stations labelled from A to S. Find a way for a train to call
at all the stations and return to the Train Yard.
A pentagon has five diagonals (lines drawn between the corners).
You can trace over all of the diagonals without lifting your pencil
and without going over any more than once. Try it.
Can the same thing be done with a hexagon (6 sides) or with a
heptagon (7 sides)?
(Take care to find ALL the diagonals. Drawing a large shape will