problem Maximum Scattering Age 16 to 18 Challenge level Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?
problem Cuboid-in-a-Box Age 7 to 11 Challenge level What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
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 Jomista Mat Age 7 to 11 Challenge level Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
problem Squares in rectangles Age 11 to 14 Challenge level A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?
problem Semi-regular Tessellations Age 11 to 16 Challenge level Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
problem Concrete wheel Age 11 to 14 Challenge level A huge wheel is rolling past your window. What do you see?
problem Mixing More Paints Age 14 to 16 Challenge level Can you find an efficent way to mix paints in any ratio?