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How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

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Oh for the Mathematics of Yesteryear

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?

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Racing Odds

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

Do Unto Caesar

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

In Poker the total money in the game doesn't change, just the distribution between the players. What fraction of that total does each player have at the start and at the finish? They can't all be winners.
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. More information on many of our other activities can be found here.
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