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Gutter

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

Crossing the Bridge

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

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?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.