This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the 13 AMC 12 contests given in the years 2001 through 2007. The authors were the joint directors of the AMC 12 and AMC 10 competitions during that period. The problems have all been edited to ensure that they conform to the current style of the AMC 12 competitions, the graphs and figures have been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. A Problem Index at the back of the book classifies the problems into the subject areas of Algebra, Arithmetic, Complex Numbers, Counting Functions, Geometry, Graphs, Logarithms, Logic, Number Theory, Polynomials, Probability, Sequences, Statistics, and Trigonometry. A problem that uses a combination of these areas is listed multiple times.

This is a book that should be on the active use desk of every high school math teacher in the world. The problems were created for the American Mathematics Competitions (AMC) exams that are for high school students so there is a wide variation in difficulty but none require any mathematics beyond the level of precalculus. The problems are multiple-choice and detailed solutions to all are included. Therefore, it is a perfect resource for the teacher looking for problems to challenge the class or to present a topic in a different way. ... The book concludes with an index of the problems according to type, so it is very easy to find any problem that will conform to your needs and interests of the moment. It is also fun for more advanced mathematicians, I kept a notepad at my side as I was reading it and on many occasions picked it up and quickly verified what I considered to be the solution. Obviously, it is also an excellent resource for teachers training their students for math competitions.

Charles Ashbacher Source: Journal of Recreational Mathematics