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Five Circuits, Seven Spins

A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.

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Pole Vaulting

Consider the mechanics of pole vaulting

Set Square

Stage: 5 Challenge Level: Challenge Level:1

You might look for a cyclic quadrilateral.

 

We have constructed this in geogebra to help

 

 

 

Created with GeoGebra


NOTES AND BACKGROUND

You might like to download your own free copy of GeoGebra from the link above and draw this dynamic diagram for yourself. You will find it easy to get started on GeoGebra with the Quickstart guide for beginners.