Sumber Pelatihan Olimpiade MATEMATIKA SMA

Olympiad
Problems from Around the World

This book is a continuation of Mathematical Olympiads 1996-1997: Olympiad
Problems from Around the World, published by the American Mathematics
Competitions. It contains solutions to the problems from 34 national
and regional contests featured in the earlier book, together with
selected problems (without solutions) from national and regional contests
given during 1998.
This collection is intended as practice for the serious student who
wishes to improve his or her performance on the USAMO. Some of the
problems are comparable to the USAMO in that they came from national
contests. Others are harder, as some countries rst have a national
olympiad, and later one or more exams to select a team for the IMO. And
some problems come from regional international contests (\mini-IMOs").
Dierent nations have dierent mathematical cultures, so you will nd
some of these problems extremely hard and some rather easy. We have
tried to present a wide variety of problems, especially from those countries
that have often done well at the IMO.
Each contest has its own time limit. We have not furnished this information,
because we have not always included complete exams. As a rule
of thumb, most contests allow a time limit ranging between one-half to
one full hour per problem.
Thanks to the following students of the 1998 and 1999 Mathematical
Olympiad Summer Programs for their help in preparing and proofreading
solutions: David Arthur, Reid Barton, Gabriel Carroll, Chi-Bong Chan,
Lawrence Detlor, Daniel Katz, George Lee, Po-Shen Loh, Yogesh More,
Oaz Nir, David Speyer, Paul Valiant, Melanie Wood. Without their efforts,
this work would not have been possible. Thanks also to Alexander
Soifer for correcting an early draft of the manuscript.
The problems in this publication are copyrighted. Requests for reproduction
permissions should be directed to:
Dr. Walter Mientka
Secretary, IMO Advisory Board
1740 Vine Street
Lincoln, NE 68588-0658, USA.