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Published by - amtt.com.au
Published byA M T PU B L I S H I N GAustralian Mathematics TrustUniversity of Canberra Locked Bag 1 Canberra GPO ACT 2601 AUSTRALIAC opyright 2014 AMT PublishingTelephone: +61 2 6201 Limited ACN 083 950 341 National Library of Australia Card Number and ISSNA ustralian Mathematics Trust Enrichment Series ISSN 1326-0170 Australian Intermediate Mathematics Olympiads 1999-2013 ISBN 978-1-876420-73-4ii AIMO book1999-2013b5 2014/6/18 16:33 page vii #2iiiiiiviiPrefaceAustralia entered a team in the International Mathematical Olympiad (IMO) for the firsttime in 1981 and has participated in this competition ever since, enjoying significant successand assisting in the development of many fine young mathematicians. In 1983, the AustralianMathematical Olympiad Committee (AMOC) was set up to identify and train students forinternational competition, as well as to stimulate a general interest in mathematical problemsolving.
CONTENTS • PREFACE vii • AUSTRALIAN I NTERMEDIATE M ATHEMATICS OLYMPIAD C OMMITTEE ix • QUESTIONS 1 Australian Intermediate Mathematics Olympiad 1999 3
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