Transcription of PROBLEM SOLVING VIA THE AMC - amtt.com.au
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PROBLEM SOLVING VIA THE AMC - amtt.com.au
The AusT r AliA n MATheMATics TrusT enrichMenT series PROBLEM SOLVING VIA THE AMC W ATKINSW ATKINS5 PROBLEM SOLVINGVIA THE AMCThis book consists of a development of techniques for SOLVING approximately 150 problems which have been set in the Australian Mathematics Competition for the Westpac Awards (AMC). These problems have been selected from the topics: Geometry, Motion, Diophantine Equations and Counting Techniques. Students find these areas difficult and in the case of the latter two, the topics are not often covered in standard school AMC is one of the largest competitions in the world with around 490 000 entries yearly or approximately one third of all Australian secondary school Atkins graduated with a BA from Sydney University and an MA from Macquarie University.
Problem Solving via the AMC Chapter 1 Diophantine Equations Diophantine equations are named after the prominent Greek math- ematician Diophantus of Alexandria (c. 275) who published three
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