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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.

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Pattern of Islands

In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...

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Only Connect

The graph represents a salesman’s area of activity with the shops that the salesman must visit each day. What route around the shops has the minimum total distance?

Tourism

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A good opportunity to develop geometric reasoning, test ideas and formulate hypotheses and generalisations.