Year 8 Being curious

problem
Unequal averages

Age

11 to 14

Challenge level

Play around with sets of five numbers and see what you can discover about different types of average...
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
Cuboid challenge

Age

11 to 16

Challenge level

What's the largest volume of box you can make from a square of paper?