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Resources for mathematics competitions
The Art of Problem Solving hosts this AoPSWiki as well as many other online resources for students
interested in mathematics competitions. Look around the AoPSWiki. Individual articles often have sample
problems and solutions for many levels of problem solvers. Many also have links to books, websites, and
other resources relevant to the topic.
Math booksMathematics forums
Mathematics websites
Contents [hide]
1 Math competition classes
2 Math competition problems2.1 Problem books
2.2 Problems online2.2.1 Introductory Problem Solvers
2.2.2 Intermediate Problem Solvers
2.2.3 Olympiad Problem Solvers
3 Articles
4 A Huge List of Links4.1 AoPS Course Recommendations
4.2 AMC 8 Preparation4.2.1 Problems
4.3 AMC 10/12 Preparation4.3.1 Problems
4.4 AIME Preparation4.4.1 Problems
4.5 Beginning Olympiad Preparation4.5.1 Bunch of General links
4.5.2 Problems
4.6 Middle/Advanced Olympiad Preparation4.6.1 Problems
4.7 Book Links:4.7.1 Olympiad Level
4.7.1.1 Free
4.7.1.2 Not Free
4.8 Problem Sets
5 See also
Math competition classes
Art of Problem Solving hosts classes that are popular among many of the highest performing students in
the United States. AoPS Problem Series .
EPGY hosts classes for AMC students.
Math competition problems
Problem books
Many mathematics competitions sell books of past competitions and solutions. These books can be
great supplementary material for avid students of mathematics.
ARML has four problem books covering most ARML as we ll as some NYSML competitions. However, they
are generally difficult to find. Some can be ordered here .
MOEMS books are available here at AoPS.
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MathCounts books are available here at AoPS.
AMC books are available here at AoPS.
Mandelbrot Competition books are available here at AoPS.
Putnam Competition books are available here at AoPS.
Problems online
Art of Problem Solving maintains a very large database of math contest problems . Many math contest
websites include archives of past problems. The List of mathematics competitions leads to links for many
of these competition homepages. Here are a few exmaples:
Introductory Problem Solvers
Mu Alpha Theta.org hosts past contest problems .
Noetic Learning Challenge Math - Problem Solving for the Gifted Elementary Students .
Elias Saab's MathCounts Drills page .
Alabama Statewide High School Mathematics Contest homepage .
The South African Mathematics Olympiad here includes many years of past problems with solutions.
Beestar.org - Beestar weekly problem solving tests for grade 1 - 8
Intermediate Problem Solvers
AoPS math contest problems and solutions
Past USAMTS problems can be found at the USAMTS homepage .
The Kalva site is one of the best resources for math problems on the planet.
Past Colorado Mathematical Olympiad (CMO) problems can be found at the CMO homepage .
Past International Mathematical Talent Search (IMTS) problems can be found here
MathProb is a website that presents problems and solutions based by categories and is run
by Anirudh.Brilliant is a website where one can solve problems to gain points and go to higher levels.
Olympiad Problem Solvers
AoPS math contest problems and solutions
Past USAMTS problems can be found at the USAMTS homepage .
The Kalva site is one of the best resources for math problems on the planet. (Currently offline - but a
few mirrors are available, e.g here .)
Nick's Mathematical Puzzles -- Challenging problems with hints and so lutions.
Canadian Mathematical Olympiad are hosted here by the Canadian Mathematical Society .
Problems of the All-Soviet-Union math competitions 1961-1986 - Many problems, no solutions. [Site nolonger exists. Site has been replaced by a web capture ]
Past International Mathematical Talent Search (IMTS) problems can be found here
Olympiad Math Madness - Stacks of challenging problems, no solutions. [Site no longer exists. Site has
been replaced by a web capture.]
Articles
Pros and Cons and Math Competitions by Richard Rusczyk.
Establishing a Positive Culture o f Expectation in Math Education by Sister Scholastica Award winner
Darryl Hill.
Stop Making Stupid Mistakes by Richard Rusczyk.
Stupid Questions by Richard Rusczyk.
Learning Through Teaching
How to Write a Solution by Richard Rusczyk and Mathew Crawford.
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A Huge List of Links
AoPS Course Recommendations
Art of Problem Solving Course Recommendations Still have trouble deciding which course? Ask for
personal recommendations.
AMC 8 Preparation
Problems
AMC 8 Problems in the Resources Section AMC 8 Problems in the AoPS wiki
AMC 10/12 Preparation
How preparing for the AIME will help AMC 10/12 Score What class to take? AMC 10 for AMC 12
practice AMC prep AMC 10/12 Preparation AIME/AMC 10 Overlap and Preparation How to prepare
for amc10 and aime? Preparation for AMC 10?
Problems
AMC 10 Problems in the Resources Section AMC 10 Problems in the AoPS Wiki AMC 12 Problems in
the Resources Sect ion AHSME (Old AMC 12) Problems in the AoPS Wiki AMC 12 Problems in the AoPS
Wiki
AIME Preparation
Studying to qualify for USAMO How to prepare for the AIME Preparation for the AIME Using non-
AIME questions to prepare for AIME Best books to prepare for AIME? How to improve AIME score to
make JMO? Preparation for AIME and USAMO
Problems
AIME Problems in the Resources Section AIME Problems in the AoPS Wiki
Beginning Olympiad Preparation
General General How to Prepare for USAJMO? USAMO preparation/doing problems Easier
Olympiads for USAJMO practice? For the USAMO: ACoPS or Engel? Olympiad problems- how to
prepare USAMO/Olympiads Preparation: Where to start? USAJMO prep
Bunch of General links
[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17]
[18] [19] [20] [21] [22]
Problems
USAJMO Problems in the Resources Section USAJMO Problems in the AoPS Wiki USAMO Problems in
the Resources Sect ion USAMO Problems in the AoPS Wiki
Middle/Advanced Olympiad Preparation
Problems
Pract ice Olympiad 1 Pract ice Olympiad 2 Pract ice Olympiad 3 Practice Olympiad Solutions USAMO
Problems in the Resources Section USAMO Problems in the AoPS Wiki IMO Problems in the Resources
Section IMO Problems in the AoPS Wiki
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Book Links:
Olympiad Level
Free
Geometry Revisited Geometry Unbound Plane Geometry Hidden Discoveries -- How
To Infinity Number Theory Diophantine Number Theory More Diophantine Number Theory
Not Free
Plane Euclidean Geometry: Theory and Problems Complex Numbers and Geometry Geometry of
Complex Numbers Complex Numbers from A to …Z 103 Trigonometry Problems: From the Training of
the USA IMO Team An Introduction to Diophantine Equations: A Problem-Based
Approach Introductions to Number Theory and Inequalities 104 Number Theory Problems: From the
Training of the USA IMO Team 102 Combinatorial Problems A Path to Combinatorics for
Undergraduates: Counting St rategies -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and
Solutions Art and Craft of Problem Solving Problem Solving Strategies
Problem Sets31 Olympiad problems about Probabilistic Method 567 Nice and Hard Inequalities Inequalities 100
Polynomial Problems 161 Inequalities Trigonometry Problems General all levels Number
Theory Olympiad Problems 33 Functional Equations Induction Problems Induction Solutions 260
Geometry Problems 150 Geometry Problems 50 Diophantine Equation Problems 60 Geometry
Problems 116 Problems Algebraic Inequalities 100 Combinatorics Problems 100 Problems Number
Theory Geometry General 100 Number Theory Problems 100 Funct ional Equation
Problems Beginning/Intermediate Counting and Probability 40 Functional Equations 100 Geometric
Inequalities 10 Fun Unconventional Problems :) 169 Functional Equations Triangle
Geometry Probability Algebra Number Theory Circle Geometry Other Geometry
Ranking of all Olympiads (Difficulty Level)
