problem Trace the edges Age 7 to 11 Challenge level On which of these shapes can you trace a path along all of its edges, without going over any edge twice?
problem Hidden rectangles Age 11 to 14 Challenge level Rectangles are considered different if they vary in size or have different locations. How many different rectangles can be drawn on a chessboard?
problem Classic cube Age 16 to 18 Challenge level The net of a cube is to be cut from a sheet of card 100 cm square. What is the maximum volume cube that can be made from a single piece of card?
problem Cubic covering Age 14 to 16 Challenge level A blue cube has blue cubes glued on all of its faces. Yellow cubes are then glued onto all the visible blue facces. How many yellow cubes are needed?
problem Putting two and two together Age 7 to 11 Challenge level In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem Triangles in the middle Age 11 to 18 Challenge level This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
problem Auditorium steps Age 7 to 14 Challenge level What is the shape of wrapping paper that you would need to completely wrap this model?
game Sprouts A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
problem Wrapping presents Age 7 to 11 Challenge level Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
problem Pyramid numbers Age 7 to 11 Challenge level What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?