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Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?

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Cuboid Challenge

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

The Fastest Cyclist

Age 14 to 16 Challenge Level:

What is the maximum calorie intake available to Andy, based on the snacks and energy drinks he can carry?

If he cycled for $7\frac{1}{2}$ hours, how many calories would he need? How many calories could he take in?

What if he cycled for $8$ hours?