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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

Last year, on the television programme Antiques Roadshow... work out the approximate profit.

Rough Rectangle

Age 14 to 16 Short Challenge Level:

Answer: 24.75 cm$^2$
 


$5.5\le$ length ("6 cm") $\lt 6.5$


  


$4.5\leq$ width ("5 cm") $\lt 5.5$



$\therefore$ smallest possible area is $5.5\times4.5=24.75$ cm$^2$



 

You can find more short problems, arranged by curriculum topic, in our short problems collection.