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Delia's Routes

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 route again?

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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?

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Diagonal Trace

You can trace over all of the diagonals of a pentagon without lifting your pencil and without going over any more than once. Can the same thing be done with a hexagon or with a heptagon?

Networks and Nodes

Age 7 to 11 Challenge Level:
Network 1. Network 2. Network 3.
Network 8. Without taking your pencil off the paper or going over a line or passing through one of the points twice, can you follow each of the networks?

If you are able to do this, mark your pathway and direction using arrows.

Create your own networks. Can you draw one that is impossible to complete without lifting your pencil?

Network 4.
Network 7. Network 6. Network 5.