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Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?

Can you make square numbers by adding two prime numbers together?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Here are two games you can play. Which offers the better chance of winning?

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?