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Instant Insanity

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

Network Trees

Explore some of the different types of network, and prove a result about network trees.

Magic Caterpillars

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

Limiting Probabilities

Age 16 to 18
Challenge Level

Think about the number of edges travelled when going around the triangle.