Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?...

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

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?...

Can you draw a sketch of how Frosty's volume changes as his height decreases?...

Which of the statements must be true?...

Which of the statements is true?...

These proofs are wrong. Can you see why?...

Can you find different ways of showing the same number? Try this matching game and see!...

Ben is planting garlic. Can you use the information to work out how many garlic cloves he has planted?...

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?...