Mathematical Olympiads, 2000-2001: Problems and Solutions from Around the World (MAA Problem Book Series)

This volume is a continuation of Mathematical Olympiads 1999-2000: Problems and Solutions From Around the World, republishing hundreds of mathematics problems and solutions from that book as well as selected problems (without solutions) from national and regional contests in 2001. The collection provides practice material for serious high-school level mathematicians who wish to prepare for the USA Math Olympiad (USAMO) and Team Selection Test (TST). The newly added 2001 problems were contributed by dozens of countries including Korea, Belarus, China, Poland, and Romania This book is a continuation of Mathematical Olympiads 1999 2000: Problems and Solutions From Around the World, published by the Mathematical Association of America. It contains solutions to the problems from 27 national and regional contests featured in the earlier book, together with selected problems (without solutions) from national and regional contests given during 2001. In many cases multiple solutions are provided in order to encourage students to compare different problem-solving strategies. The editors have tried to present a wide variety of problems, especially from those countries that have often done well at the IMO. The problems themselves should provide much enjoyment for all those fascinated by solving challenging mathematics questions." Let M be the intersection point of the diagonals AC and BD of a convex quadrilateral ABCD.