Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Can you find the values at the vertices when you know the values on the edges?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
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?
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?
