problem Relative time Age 14 to 16 Challenge level Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
problem Painted octahedron Age 11 to 14 Challenge level What is the smallest number of colours needed to paint the faces of a regular octahedron so that no adjacent faces are the same colour?
problem Bike shop Age 14 to 16 Challenge level If I walk to the bike shop, but then cycle back, what is my average speed?
problem Starting fibonacci Age 11 to 14 Challenge level What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
problem Hyperbolic thinking Age 16 to 18 Challenge level Explore the properties of these two fascinating functions using trigonometry as a guide.
problem Trig reps Age 16 to 18 Challenge level Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
problem Maths shop window Age 16 to 18 Challenge level Make a functional window display which will both satisfy the manager and make sense to the shoppers
problem Polar bearings Age 16 to 18 Challenge level What on earth are polar coordinates, and why would you want to use them?
problem Charting more success Age 11 to 16 Challenge level Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?
problem Charting success Age 11 to 16 Challenge level Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?