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Here you have an opportunity to explore the proofs of the laws of logarithms.

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Can you work out where the blue-and-red brick roads end?

A practical experiment which uses tree diagrams to help students understand the nature of questions in conditional probability.

What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?

Go on a vector walk and determine which points on the walk are closest to the origin.

Can you use numerical methods to solve this equation to 1 decimal place?

Find the location of the point of inflection of this cubic.

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

How do scientists or mathematicians estimate the size of a population of wild animals?