Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

Can you beat the computer in the challenging strategy game?

Katherine, Stephen and pupils from Wiggington Primary show how working backwards can sometimes help solve a problem.