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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

This problem encourages students to think carefully about what the ratio actually means. The total sum of money doesn't change, so students need to convert the distribution given as a ratio into a fraction form to help them consider what each player has before and after the game.