Being resourceful

A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?

Why does this fold create an angle of sixty degrees?

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

Watch the video to see how Charlie works out the sum. Can you adapt his method?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Can you find the hidden factors which multiply together to produce each quadratic expression?

Where should runners start the 200m race so that they have all run the same distance by the finish?