Imagine you were given the chance to win some money... and imagine you had nothing to lose...
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Can you find the values at the vertices when you know the values on the edges?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
