problem Missing Multipliers Age 7 to 14 Challenge level What is the smallest number of answers you need to reveal in order to work out the missing headers?
problem Dotty Six Age 5 to 11 Challenge level Dotty Six is a simple dice game that you can adapt in many ways.
problem Which solids can we make? Age 11 to 14 Challenge level Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
problem What does random look like? Age 11 to 14 Challenge level Engage in a little mathematical detective work to see if you can spot the fakes.
problem Last one standing Age 14 to 16 Challenge level Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
problem Sociable Cards Age 11 to 14 Challenge level Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
problem Charlie's delightful machine Age 11 to 16 Challenge level Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
problem A little light thinking Age 14 to 16 Challenge level Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
problem Shifting Times Tables Age 11 to 14 Challenge level Can you find a way to identify times tables after they have been shifted up or down?
problem Tower of Hanoi Age 11 to 14 Challenge level The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.