Here are two games you can play. Which offers the better chance of winning?
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?
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
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?
Can you find the hidden factors which multiply together to produce each quadratic expression?
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
Have you ever wondered what it would be like to race against Usain Bolt?
