problem Tiling into slanted rectangles Age 7 to 11 Challenge level A follow-up activity to Tiles in the Garden.

problem Tiles in the Garden Age 7 to 11 Challenge level How many tiles do we need to tile these patios?

problem Changing areas, changing volumes Age 11 to 14 Challenge level How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

problem Uniform units Age 14 to 16 Challenge level Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

problem Funnel Age 14 to 16 Challenge level A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

problem Cola Can Age 11 to 14 Challenge level An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

problem Peeling the Apple or The Cone that Lost its Head Age 14 to 16 Challenge level How much peel does an apple have?

problem All Wrapped Up Age 7 to 11 Challenge level What is the largest cuboid you can wrap in an A3 sheet of paper?

problem Brush Loads Age 7 to 11 Challenge level How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

problem Tin Tight Age 14 to 16 Challenge level What's the most efficient proportion for a 1 litre tin of paint?