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What's the largest volume of box you can make from a square of paper?
Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
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?
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
Four friends must cross a bridge. How can they all cross it in just 17 minutes?