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Contact

A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?

Gift of Gems

Four jewellers share their stock. Can you work out the relative values of their gems?

Burning Down

One night two candles were lit. Can you work out how long each candle was originally?

At a Glance

Age 14 to 16 Challenge Level:



The area of a regular pentagon looks about twice as a big as the pentangle drawn within it.

Is it?