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?
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?
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?
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Which armies can be arranged in hollow square fighting formations?
Two ladders are propped up against facing walls. At what height do the ladders cross?
