Resources for mathematics competitions

Revision as of 05:46, 3 November 2012 by ChiefShoe (talk | contribs)

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 competition classes


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.


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

Intermediate Problem Solvers

Olympiad Problem Solvers

Articles

A Huge List of Links

AoPS Course Recommendations

[url=http://www.artofproblemsolving.com/School/recommendations.php]Art of Problem Solving Course Recomendations[/url] [url=http://www.artofproblemsolving.com/Store/personalrec.php]Still have trouble deciding which course? Ask for personal reccomendations[/url]


AMC 8 Preparation

Problems

[url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42]AMC 8 Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions]AMC 8 Problems in the AoPS wiki[/url]

AMC 10/12 Preparation

[url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation]How preparing for the AIME will help AMC 10/12 Score[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation]What class to take?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation]AMC 10 for AMC 12 practice[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation]AMC prep[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation]AMC 10/12 Preparation[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation]AIME/AMC 10 Overlap and Preparation[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation]How to prepare for amc10 and aime?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation]Preparation for AMC 10?[/url]

Problems

[url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43]AMC 10 Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions]AMC 10 Problems in the AoPS Wiki[/url] [url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44]AMC 12 Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions]AHSME (Old AMC 12) Problems in the AoPS Wiki[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions]AMC 12 Problems in the AoPS Wiki[/url]

AIME Preparation

[url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation]Studying to qualify for USAMO[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation]How to prepare for the AIME[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation]Preparation for the AIME[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation]Using non-AIME questions to prepare for AIME[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation]Best books to prepare for AIME?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation]How to improve AIME score to make JMO?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation]Preparation for AIME and USAMO[/url]

Problems

[url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45]AIME Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions]AIME Problems in the AoPS Wiki[/url]

Beginning Olympiad Preparation

[url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253]General[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978]General[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation]How to Prepare for USAJMO?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation]USAMO preparation/doing problems[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation]Easier Olympiads for USAJMO practice?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation]For the USAMO: ACoPS or Engel?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation]Olympiad problems- how to prepare[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation]USAMO/Olympiads Preparation: Where to start?[/url] [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation]USAJMO prep[/url] [hide="Bunch of General links"] http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845

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Problems

[url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176]USAJMO Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions]USAJMO Problems in the AoPS Wiki[/url] [url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27]USAMO Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions]USAMO Problems in the AoPS Wiki[/url]


Middle/Advanced Olympiad Preparation

Problems

[url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38803]Practice Olympiad 1[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38804]Practice Olympiad 2[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38805]Practice Olympiad 3[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38806]Practice Olympiad Solutions[/url] [url=http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27]USAMO Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions]USAMO Problems in the AoPS Wiki[/url] [url=http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16]IMO Problems in the Resources Section[/url] [url=http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions]IMO Problems in the AoPS Wiki[/url]


Book Links:

Olympiad Level

Free

[url=http://analgeomatica.files.wordpress.com/2008/11/geometryrevisited_coxetergreitzer_0883856190.pdf]Geometry Revisited[/url] [url=http://www-math.mit.edu/~kedlaya/geometryunbound/gu-060118.pdf]Geometry Unbound[/url] [url=http://students.imsa.edu/~tliu/Math/planegeo.pdf]Plane Geometry[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38802]Hidden Discoveries -- How To[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38801]Infinity[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38816]Number Theory[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38817]Diophantine Number Theory[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38818]More Diophantine Number Theory[/url]

Not Free

[url=http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1]Plane Euclidean Geometry: Theory and Problems[/url] [url=http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1]Complex Numbers and Geometry[/url] [url=http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1]Geometry of Complex Numbers[/url] [url=http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1]Complex Numbers from A to …Z[/url] [url=http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1]103 Trigonometry Problems: From the Training of the USA IMO Team[/url] [url=http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1]An Introduction to Diophantine Equations: A Problem-Based Approach[/url] [url=http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1]Introductions to Number Theory and Inequalities[/url] [url=http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1]104 Number Theory Problems: From the Training of the USA IMO Team[/url] [url=http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1]102 Combinatorial Problems[/url] [url=http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2]A Path to Combinatorics for Undergraduates: Counting Strategies[/url] [url=http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1-fkmr1]USA Mathematical Olympiads 1972-1986 Problems and Solutions[/url] [url=http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving]Art and Craft of Problem Solving[/url] [url=http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1]Problem Solving Strategies[/url]

Problem Sets

[url=http://www.artofproblemsolving.com/Forum/download/file.php?id=1068]31 Olympiad problems about Probabilistic Method[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=30721]567 Nice and Hard Inequalities[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32201]Inequalities[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32093]100 Polynomial Problems[/url] [url=http://http://www.artofproblemsolving.com/Forum/download/file.php?id=32270]161 Inequalities[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=31329]Trigonometry Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32212]General all levels[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32310]Number Theory[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32228]Olympiad Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33993]33 Functional Equations[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33874]Induction Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33873]Induction Solutions[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32128]260 Geometry Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=30649]150 Geometry Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=35398]50 Diophantine Equation Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=35716]60 Geometry Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33026]116 Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32361]Algebraic Inequalities[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33543]100 Combinatorics Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=30597]100 Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=32007]Number Theory[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=37234]Geometry[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=37233]General[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33551]100 Number Theory Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=33486]100 Functional Equation Problems[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=37457]Beginning/Intermediate Counting and Probability[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=37628]40 Functional Equations[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=35164]100 Geometric Inequalities[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38538]10 Fun Unconventional Problems :)[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=35831]169 Functional Equations[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38916]Triangle Geometry[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38915]Probability[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38914]Algebra[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38920]Number Theory[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38918]Circle Geometry[/url] [url=http://www.artofproblemsolving.com/Forum/download/file.php?id=38919]Other Geometry[/url]

[b][url=http://www.artofproblemsolving.com/Wiki/index.php/AoPSWiki:Competition_ratings]Ranking of all Olympiads (Difficulty Level)[/url][/b]

See also

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