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Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

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Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?


Stage: 3 Short Challenge Level: Challenge Level:1

If Dilly brings two green gloves then they will not necessarily be a matching pair (since they could both be left-hand gloves or both be right-hand gloves). Similarly, two blue gloves could both be right-hand gloves. In the same way, three blue (or green) gloves could all be right-handed. However, if Dilly brings all four blue gloves then these will include a matching pair.

This problem is taken from the UKMT Mathematical Challenges.