This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php

This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php

This book can be used by 6th to 10th grade students preparing for AMC 10. Each chapter consists of (1) basic skill and knowledge section with examples, (2) plenty of exercise problems, and (3) detailed solutions to all problems. Training class is offered: http: //www.mymathcounts.com/Copied-2015-Summer-AMC-10-Training-Program.php

This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the thirteen AMC 12 contests given in the years between 2001 and 2007. The authors were the joint directors of the AMC 12 and the 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. 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 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. The problems on these contests are posed by members of the mathematical community in the hope that all secondary school students will have an opportunity to participate in problem-solving and an enriching mathematical experience.

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php

The best preparing method for all exams is to solve the past papers of the exam! Analysis of the AMC 8 revealed that there are 81 item types in the test. This book, Past Papers AMC 8 vol.1, contains 1.Linear Equation 2.Venn Diagram 3.Pythagorean Theorem 4.Prime Factorization 5.Number of Ways 6.Average And this book provides correct answers and detailed explanations. In addition, by providing item types for each question, students could make feedback based on incorrect answers. Practice like you test, Test like you practice!

The American Mathematics Competition (AMC) series is a group of contests that judge students’ mathematical abilities in the form of a timed test. The AMC 8 is the introductory level competition in this series and is taken by tens of thousands of students every year in grades 8 and below. Students are given 40 minutes to complete the 25 question test. Every right answer receives 1 point and there is no penalty for wrong or missing answers, so the maximum possible score is 25/25. While all AMC 8 problems can be solved without any knowledge of trigonometry, calculus, or more advanced high school mathematics, they can be tantalizingly difficult to attempt without much prior experience and can take many years to master because problems often have complex wording and test the knowledge of mathematical concepts that are not covered in the school curriculum. This book is meant to teach the skills necessary to solve mostly any problem on the AMC 8. However, our goal is to not only teach you how to perfect the AMC 8, but we also want you to learn and understand the topics presented as if you were in a classroom setting. Above all, the first and foremost goal is for you to have a good time learning math! The units that will be covered in this book are the following: - Test Taking Strategies for the AMC 8 - Number Sense in the AMC 8 - Number Theory in the AMC 8 - Algebra in the AMC 8 - Counting and Probability in the AMC 8 - Geometry in the AMC 8 - Advanced Competition Tricks for the AMC 8

This book is for students who are preparing for middle school math competitions such as AMC 8 and MathCounts. It contains four AMC 8 practice exams with new problems not used in any past competitions and with insightful solutions.The authors of the book, AlphaStar Math Development Team, is a group of expert students and alumni of AlphaStar Academy, an education company located in Bay Area, California offering online courses for contest preparation in Math, Computer Science, and Physics. The authors themselves participated and got excellent results in Math competitions and Olympiads. In particular, in AMC 8, the authors had a combined number of 6 Perfect scores and 21 Distinguished Honor Roll Awards which is given to only top 1% of participants. Dr. Ali Gurel, AlphaStar Academy co-founder and Math Director, led the team and also did the editing.

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.