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American Mathematics Competitions

The American Mathematics Competitions (AMC) produces the series of tests used to determine the United States math team for the International Mathematics Olympiad. Art of Problem Solving textbooks have been used by top scorers on the AMC exams for over 12 years. Compilations of past AMC contests are available here. Problems from the Mandelbrot Competition are also excellent practice for the AMC exams.

Books published by the Mathematical Association of America

First Steps for Math Olympians
by J. Douglas Faires
Lessons, examples, and exercises on topics useful for the AMC 10 and AMC 12. Written by the current director of the AMC 10. Ideal for self study for the AMC exams, and as a teaching resource for instructors developing lessons on various topics.
ISBN: 978-0-88385-824-0
307 pages.
Hardcover. 9 1/4 x 6 1/4 x 7/8 inches.
Item(s)PriceQuantity
First Steps for Math Olympians
$49.50
Contest Problem Book IX
by David Wells and J. Douglas Faires
Past problems with complete solutions from the American Mathematics Competitions 12 (AMC 12), which is one of the first tests in the series of contests that determines the United States International Math Olympiad team. This book includes all AMC 12 tests from 2001-2007.
ISBN: 978-0-88385-826-4
230 pages.
Paperback. 9 x 6 x 7/16 inches.
Item(s)PriceQuantity
Contest Problem Book IX
$49.95
Contest Problem Book VIII
by J. Douglas Faires and David Wells
Past problems with complete solutions from the American Mathematics Competitions 10 (AMC 10), which is one of the first tests in the series of contests that determines the United States International Math Olympiad team. This book includes all AMC 10 tests from 2000-2007.
ISBN: 978-0-88385-825-7
212 pages.
Paperback. 9 x 6 x 7/16 inches.
Item(s)PriceQuantity
Contest Problem Book VIII
$49.95
Contest Problem Book VII
by Harold Reiter
Past problems with complete solutions from the American Mathematics Contests (AMC 10 and AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1995-2000, including the 50th Anniversary AHSME issued in 1999.
ISBN: 978-0-88385-821-9
183 pages.
Paperback. 9 x 6 x 7/16 inches.
Item(s)PriceQuantity
Contest Problem Book VII
$47.95
Contest Problem Book VI
by Leo J. Schneider
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1989-1994.
ISBN: 978-0-88385-642-0
212 pages.
Paperback. 9 x 6 x 1/2 inches.
Item(s)PriceQuantity
Contest Problem Book VI
$31.95
Contest Problem Book V
by George Berzsenyi and Stephen B Maurer
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12) and the American Invitational Mathematics Exam (AIME), which are the first two tests in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1983-1988.
ISBN: 978-0-88385-640-6
286 pages.
Paperback. 9 x 6 x 5/8 inches.
Item(s)PriceQuantity
Contest Problem Book V
$37.50
Contest Problem Book IV
by R. A. Artino, A. M. Gaglione and Niel Shell
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1973-1982.
ISBN: 978-0-88385-629-1
184 pages.
Paperback. 9 x 6 x 1/2 inches.
Item(s)PriceQuantity
Contest Problem Book IV
$14.95
Contest Problem Book III
by C. T. Salkind and J. M. Earl
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1966-1972.
ISBN: 978-0-88385-625-3
186 pages.
Paperback. 9 x 6 x 1/2 inches.
Item(s)PriceQuantity
Contest Problem Book III
$14.99
Contest Problem Book II
by C. T. Salkind
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1961-1965.
ISBN: 978-0-88385-617-8
112 pages.
Paperback. 9 x 6 x 1/4 inches.
Item(s)PriceQuantity
Contest Problem Book II
$12.95
Contest Problem Book I
by C. T. Salkind
Past problems with complete solutions from the American High School Mathematics Exam (now called the AMC 12), which is the first test in the series of contests that determines the United States International Math Olympiad team. This book includes tests from 1950-1960.
ISBN: 978-0-88385-605-5
154 pages.
Paperback. 9 x 6 x 5/16 inches.
Item(s)PriceQuantity
Contest Problem Book I
$12.95
USA Mathematical Olympiads 1972-1986
by Murray Klamkin
Past problems with complete solutions from the USA Mathematical Olympiad, the test that determines the United States team for the International Mathematical Olympiad.
ISBN: 978-0-88385-634-5
127 pages.
Paperback. 9 x 6 x 3/8 inches.
Item(s)PriceQuantity
USA Mathematical Olympiads 1972-1986
$22.00
Hard Problems (DVD)
Directed by George Csicsery
Documentary about the 2006 US International Mathematical Olympiad team. 82-minute full-length documentary, 45-minute abridged "classroom version", and 52 minutes of bonus materials.
ISBN: 978-0-88385-902-5
(C) 2008 Mathematical Association of America
DVD Video
Item(s)PriceQuantity
Hard Problems (DVD)
$24.95

Art of Problem Solving textbooks

The Art of Problem Solving Volumes 1 and 2 and the Introduction Series of Art of Problem Solving texts are ideal for AMC 10 and AMC 12 preparation. Volume 1 and the Introduction series also provide beginning training for the AIME, while Volume 2 helps students prepare for more challenging AIME questions and beginning Olympiad-level problems.

Introduction to Algebra
by Richard Rusczyk
A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
ISBN: 978-1-934124-01-7
Text: 656 pages. Solutions: 312 pages.
Paperback. 10 7/8 x 8 3/8 x 1 3/16 inches.
Item(s)PriceQuantity
Introduction to Algebra:Textbook & Solutions Manual
$59.00
Introduction to Counting & Probability
by David Patrick
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
ISBN: 978-1-934124-10-9
Text: 256 pages. Solutions: 120 pages.
Paperback. 10 7/8 x 8 3/8 x 1/2 inches.
Item(s)PriceQuantity
Introduction to Counting & Probability: Textbook & Solutions Manual
$42.00
Introduction to Geometry
New 2nd edition!
by Richard Rusczyk
A thorough introduction for students in grades 7-10 to geometry topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, and more.
ISBN: 978-1-934124-08-6
Text: 557 pages. Solutions: 226 pages.
Paperback. 10 7/8 x 8 3/8 x 1 1/16 inches.
Item(s)PriceQuantity
Introduction to Geometry: Textbook & Solutions Manual
$57.00
Introduction to Number Theory
by Mathew Crawford
A thorough introduction for students in grades 7-10 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
ISBN: 978-0-9773045-4-7
Text: 336 pages. Solutions: 144 pages.
Paperback. 10 7/8 x 8 3/8 x 5/8 inches.
Item(s)PriceQuantity
Introduction to Number Theory: Textbook & Solutions Manual
$47.00
Intermediate Algebra
NEW!
by Richard Rusczyk and Mathew Crawford

A comprehensive textbook covering Algebra 2 and topics in PreCalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook. In addition to offering standard Algebra 2 and PreCalculus curriculum, the text includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.

ISBN: 978-1-934124-04-8
Text: 720 pages. Solutions: 336 pages.
Paperback. 10 7/8 x 8 3/8 x 1 3/8 inches.
Item(s)PriceQuantity
Intermediate Algebra: Textbook & Solutions Manual
$64.00
Intermediate Counting & Probability
by David Patrick
An intermediate textbook in counting and probability for students in grades 9-12, containing topics such as inclusion-exclusion, recursion, conditional probability, generating functions, graph theory, and more.
ISBN: 978-1-934124-06-2
Text: 400 pages. Solutions: 208 pages
Paperback. 10 7/8 x 8 3/8 x 3/4 inches.
Item(s)PriceQuantity
Intermediate Counting & Probability: Textbook & Solutions Manual
$47.00
the Art of Problem Solving, Volume 1: the Basics
7th Edition - New look!
by Sandor Lehoczky and Richard Rusczyk
A classic problem solving textbook for students in grades 7-10. Used by many successful MATHCOUNTS and AMC participants.
ISBN: 978-0-9773045-6-1
Text: 288 pages. Solutions: 144 pages.
Paperback. 10 7/8 x 8 3/8 x 9/16 inches.
Item(s)PriceQuantity
the Art of Problem Solving: Volumes 1 & 2, with Solutions
$79.00
the Art of Problem Solving: Volumes 1 & 2 (Texts only)
$62.00
the Art of Problem Solving, Volume 1: Text & Solutions
$42.00
the Art of Problem Solving, Volume 2: and Beyond
7th Edition - New look!
by Richard Rusczyk and Sandor Lehoczky
A classic problem solving textbook for students in grades 9-12. Used by many successful AMC participants, USAMO qualifiers and Math Olympiad Program invitees.
ISBN: 978-0-9773045-8-5
Text: 320 pages. Solutions: 184 pages.
Paperback. 10 7/8 x 8 3/8 x 5/8 inches.
Item(s)PriceQuantity
the Art of Problem Solving: Volumes 1 & 2, with Solutions
$79.00
the Art of Problem Solving: Volumes 1 & 2 (Texts only)
$62.00
the Art of Problem Solving, Volume 2: Text & Solutions
$45.00
Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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