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problem

Ordering Journeys

7 to 11

How would you put these journey lengths in order?

problem

Proving the Laws of Logarithms

16 to 18

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

problem

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Lens Angle

14 to 16

Find the missing angle between the two secants to the circle when the two angles at the centre subtended by the arcs created by the intersections of the secants and the circle are 50 and 120 degrees.

problem

Here are three 'tricks' to amaze your friends. But the really clever trick is explaining to them why these 'tricks' are maths not magic. Like all good magicians, you should practice by trying them. Can you explain how they work?

problem

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An Unhappy End

11 to 14

Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

problem

Snooker

16 to 18

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

article

Go Forth and Generalise

11 to 14

Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.