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Congratulations Team USA, all of whom are AoPS WOOT alumni, for their 1st Place win at the 65th International Mathematical Olympiad! Discover WOOT.
Also available as an Online Book

Mandelbrot Morsels

Sam Vandervelde
Paperback
180 pages.
Past problems with complete solutions from The Mandelbrot Competition 2002-09. Contains problems that are excellent practice for the American Mathematics Competitions as well as excellent problems for students first learning how to tackle challenging proof problems.

Overview

The Mandelbrot Competition is one of the premier math contests for high school students in the United States today. This volume compiles over 400 engaging problems that appeared on the tests from 2002 through 2009. Full solutions to each problem are included.

Individual Test questions are excellent training for the AMC and AIME contests, and the Team Test questions are excellent training for students first learning how to tackle challenging proof problems. This author is a past US International Math Olympiad team member.

Sample