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Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

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Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

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Antiques Roadshow

Weekly Problem 51 - 2007
Last year, on the television programme Antiques Roadshow... work out the approximate profit.

Rough Rectangle

Age 14 to 16 Short Challenge Level:

The length of a rectangle is 6 cm and its width is 5 cm, both correct to the nearest centimetre.

What is the smallest possible area the rectangle could have?


This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.