# Difference between revisions of "Resources for mathematics competitions"

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− | + | 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 books]] | ||

+ | * [[Mathematics forums]] | ||

+ | * [[Mathematics websites]] | ||

− | |||

− | + | ==List of Resources== | |

− | + | Elementary: https://www.omegalearn.org/elementary-competition-math | |

− | + | Middle: https://www.omegalearn.org/middle-competition-math | |

− | + | High: https://www.omegalearn.org/high-competition-math | |

− | |||

− | + | AMC 8 Fundamentals Class: https://www.omegalearn.org/amc8-fundamentals | |

+ | |||

+ | AMC/MATHCOUNTS Class: https://www.omegalearn.org/amc8-advanced | ||

− | The | + | == Math Competition Classes == |

+ | * [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series]. | ||

+ | |||

+ | == 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 well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml2.com/arml_2018/page/index.php?page_type=public&page=books here]. | ||

+ | * [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. | ||

+ | * [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. | ||

+ | * [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. | ||

+ | * [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. | ||

+ | |||

+ | === Problems Online === | ||

+ | [[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php 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 examples: | ||

+ | ==== Introductory Problem Solvers ==== | ||

+ | * [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems]. | ||

+ | * Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students . | ||

+ | * Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page]. | ||

+ | * [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage]. | ||

+ | * The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions. | ||

+ | * [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8 | ||

+ | * Subscribe here: https://www.youtube.com/channel/UC-Nt9Uo03VSo2QTNIzsE_cA and fill out this google form. https://forms.gle/1YNouth3P6oryjuF6. This class shall prepare you. | ||

+ | |||

+ | ==== Intermediate Problem Solvers ==== | ||

+ | * [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions] | ||

+ | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage]. | ||

+ | * [http://www.albany.edu/ialexandrova/HS.html Ivana Alexandrova's Weekly Math Problems for High School Students] contains good problems that will make you think and that will teach you new skills and material | ||

+ | * The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page]) | ||

+ | * Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage]. | ||

+ | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here] | ||

+ | * [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels. | ||

+ | *[https://www.clevermath.org/ Clevermath] Is similar to above | ||

+ | |||

+ | ==== Olympiad Problem Solvers ==== | ||

+ | * [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions] | ||

+ | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage]. | ||

+ | * The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].) | ||

+ | * [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions. | ||

+ | * [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society]. | ||

+ | * [http://web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture] | ||

+ | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here] | ||

+ | * [http://web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture] | ||

+ | |||

+ | == Articles == | ||

+ | |||

+ | * [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons of Math Competitions] by [[Richard Rusczyk]]. | ||

+ | * [https://artofproblemsolving.com/news/articles/establishing-a-positive-culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill. | ||

+ | * [https://artofproblemsolving.com/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]]. | ||

+ | * [https://artofproblemsolving.com/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]]. | ||

+ | * [https://artofproblemsolving.com/news/articles/learning-through-teaching Learning Through Teaching] | ||

+ | * [https://artofproblemsolving.com/news/articles/how-to-write-a-solution How to Write a Math Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]]. | ||

+ | * [https://artofproblemsolving.com/articles/files/KedlayaInequalities.pdf Inequalities] by Dr. Kiran Kedlaya | ||

+ | * [https://artofproblemsolving.com/articles/files/MildorfInequalities.pdf Olympiad Inequalities] by Thomas J. Mildorf | ||

+ | * [https://artofproblemsolving.com/articles/files/MildorfNT.pdf Olympiad Number Theory: An Abstract Perspective] by Thomas J. Mildorf | ||

+ | * [https://artofproblemsolving.com/articles/files/SatoNT.pdf Number Theory] by Naoki Sato | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/olympiad-number-theory.pdf Olympiad Number Theory Through Challenging Problems] by Justin Stevens | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/bary.pdf Barycentric Coordinates in Olympiad Geometry] by Max Schindler and Evan Chen | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/lifting-the-exponent.pdf Lifting the Exponent (LTE)] by Amir Hossein Parvardi | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/uvw.pdf The uvw Method] by Mathias Bæk Tejs Knudsen | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/crt.pdf The Chinese Remainder Theorem] by Evan Chen | ||

+ | * [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/Recollection.pdf Contest Reflections] by Wanlin Li | ||

+ | |||

+ | == A Huge List of Links == | ||

+ | === AoPS Course Recommendations === | ||

+ | *[http://www.artofproblemsolving.com/School/recommendations.php Art of Problem Solving Course Recommendations] | ||

+ | *Do you still have trouble deciding which course? Go to the above link and click '''contact us''' at the bottom of the Course Map section to ask for personal recommendations! | ||

+ | |||

+ | ===AMC 8 Preparation=== | ||

+ | ====Problems==== | ||

+ | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section] | ||

+ | |||

+ | Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki] | ||

+ | |||

+ | ===AMC 10/12 Preparation=== | ||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=378851&hilit=preparation How to prepare for amc10 and aime?] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?] | ||

+ | ====Problems==== | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki] | ||

+ | |||

+ | ===AIME Preparation=== | ||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=357602&hilit=preparation Using non-AIME questions to prepare for AIME] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=355918&hilit=preparation Best books to prepare for AIME?] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344816&hilit=preparation How to improve AIME score to make JMO?] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=341827&hilit=preparation Preparation for AIME and USAMO] | ||

+ | |||

+ | ====Problems==== | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section] | ||

+ | |||

+ | [http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki] | ||

+ | |||

+ | '''[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]''' | ||

+ | |||

+ | ===Beginning Olympiad Preparation=== | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep] | ||

+ | |||

+ | ====Bunch of General links==== | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level] | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO] | ||

+ | * '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]''' | ||

+ | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep] | ||

+ | * '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]''' | ||

+ | * '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]''' | ||

+ | * '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]''' | ||

+ | * '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]''' | ||

+ | |||

+ | ====Problems==== | ||

+ | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section] | ||

+ | * [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki] | ||

+ | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] | ||

+ | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | ||

+ | |||

+ | ===Middle/Advanced Olympiad Preparation=== | ||

+ | |||

+ | ====Problems==== | ||

+ | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1] | ||

+ | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2] | ||

+ | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3] | ||

+ | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions] | ||

+ | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] | ||

+ | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | ||

+ | * [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section] | ||

+ | * [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki] | ||

+ | |||

+ | ===Book Links:=== | ||

+ | ====Olympiad Level==== | ||

+ | =====Free===== | ||

+ | * [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article] | ||

+ | * [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry] | ||

+ | * [https://web.evanchen.cc/textbooks/OTIS-Excerpts.pdf Evan Chen OTIS-Excerpts] | ||

+ | * [https://www.dropbox.com/s/0fvyelr8rdh837b/olympiad-number-theory.pdf?dl=0 The Basics of Olympiad Number Theory] | ||

+ | * [http://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/olympiad-number-theory.pdf Olympiad Number Theory Through Challenging Problems] | ||

+ | |||

+ | =====Not Free===== | ||

+ | * [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] | ||

+ | *[https://www.amazon.com/dp/0883858398/ref=cm_sw_r_cp_awdb_t1_WTaBCbBFKWMPK Euclidean Geometry in Mathematical Olympiads] | ||

+ | *[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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | * [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] | ||

+ | |||

+ | ===Problem Sets=== | ||

+ | * [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world] | ||

+ | * [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/82357_cfd6bc6cd06884730701121c0146d455 General all levels] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/16383_6600f91864a38bc31764efe5d8b69475 Number Theory] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/97235_946d6121c243f09232ea6c390236abfd Geometry] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/97235_fd4595a2f0efac349561fae52fa49c2b General] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry] | ||

+ | * [http://cdn.artofproblemsolving.com/aops20/attachments/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry] | ||

+ | |||

+ | '''[http://www.artofproblemsolving.com/wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]''' | ||

+ | |||

+ | == See also == | ||

+ | |||

+ | * [[List of mathematics competitions]] | ||

+ | * [[Mathematics scholarships]] | ||

+ | * [[Science competitions]] | ||

+ | * [[Informatics competitions]] | ||

+ | * [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare] |

## Latest revision as of 20:31, 28 December 2020

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.

## Contents

- 1 List of Resources
- 2 Math Competition Classes
- 3 Math Competition Problems
- 4 Articles
- 5 A Huge List of Links
- 6 See also

## List of Resources

Elementary: https://www.omegalearn.org/elementary-competition-math

Middle: https://www.omegalearn.org/middle-competition-math

High: https://www.omegalearn.org/high-competition-math

AMC 8 Fundamentals Class: https://www.omegalearn.org/amc8-fundamentals

AMC/MATHCOUNTS Class: https://www.omegalearn.org/amc8-advanced

## 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.

## 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 well as some NYSML competitions. However, they are generally difficult to find. Some can be ordered here.
- MOEMS books are available here at AoPS.
- MATHCOUNTS books are available here at AoPS.
- AMC books are available here at AoPS.
- Mandelbrot 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 examples:

#### 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 - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8
- Subscribe here: https://www.youtube.com/channel/UC-Nt9Uo03VSo2QTNIzsE_cA and fill out this google form. https://forms.gle/1YNouth3P6oryjuF6. This class shall prepare you.

#### Intermediate Problem Solvers

- AoPS math contest problems and solutions
- Past USAMTS problems can be found at the USAMTS homepage.
- Ivana Alexandrova's Weekly Math Problems for High School Students contains good problems that will make you think and that will teach you new skills and material
- The Kalva site is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at this page)
- Past Colorado Mathematical Olympiad (CMO) problems can be found at the CMO homepage.
- Past International Mathematical Talent Search (IMTS) problems can be found here
- Brilliant is a website where one can solve problems to gain points and go to higher levels.
- Clevermath Is similar to above

#### 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 solutions.
- 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 no longer 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 of Math Competitions by Richard Rusczyk.
- Establishing a Positive Culture of Expectation in Math Education by Sister Scholastica Award winner Darryl Hill.
- Stop Making Stupid Mistakes by Richard Rusczyk.
- What Questions Really Are the Stupid Questions? by Richard Rusczyk.
- Learning Through Teaching
- How to Write a Math Solution by Richard Rusczyk and Mathew Crawford.
- Inequalities by Dr. Kiran Kedlaya
- Olympiad Inequalities by Thomas J. Mildorf
- Olympiad Number Theory: An Abstract Perspective by Thomas J. Mildorf
- Number Theory by Naoki Sato
- Olympiad Number Theory Through Challenging Problems by Justin Stevens
- Barycentric Coordinates in Olympiad Geometry by Max Schindler and Evan Chen
- Lifting the Exponent (LTE) by Amir Hossein Parvardi
- The uvw Method by Mathias Bæk Tejs Knudsen
- The Chinese Remainder Theorem by Evan Chen
- Contest Reflections by Wanlin Li

## A Huge List of Links

### AoPS Course Recommendations

- Art of Problem Solving Course Recommendations
- Do you still have trouble deciding which course? Go to the above link and click
**contact us**at the bottom of the Course Map section to ask for personal recommendations!

### AMC 8 Preparation

#### Problems

AMC 8 Problems in the Resources Section

Problem and Solutions: AMC 8 Problems in the AoPS wiki

### AMC 10/12 Preparation

How preparing for the AIME will help AMC 10/12 Score

AIME/AMC 10 Overlap and Preparation

How to prepare for amc10 and aime?

#### Problems

AMC 10 Problems in the Resources Section

AMC 10 Problems in the AoPS Wiki

AMC 12 Problems in the Resources Section

AHSME (Old AMC 12) Problems in the AoPS Wiki

AMC 12 Problems in the AoPS Wiki

### AIME Preparation

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

**AIME problems sorted by difficulty**

### 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

- USAMO Prep
- USAMO Prep
- USAMO
- Usamo prep
- USAMO Prep
- Counting down to USAMO
- USAMO Preparation
- USAJMO prep
- USAMO Preparation
- USAJMO Prep
- How to prepare for the USAMO/Making Red MOP
- Preparing in a hardcore way
- USAMO and JMO prep
- USAMO PREP
- Beginner to USAMO
- What should I be doing?
- Improve to USAMO and IMO level
- Prep for USA(J)MO
**contest math stuff/some advice on how to get good**- Olympiad Prep
**Olympiad Prep****USAJMO Prep****The Right Training****What Leads to Success**

#### Problems

- USAJMO Problems in the Resources Section
- USAJMO Problems in the AoPS Wiki
- USAMO Problems in the Resources Section
- USAMO Problems in the AoPS Wiki

### Middle/Advanced Olympiad Preparation

#### Problems

- Practice Olympiad 1
- Practice Olympiad 2
- Practice 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

### Book Links:

#### Olympiad Level

##### Free

- Lemmas in Olympiad Geometry article
- Plane Geometry
- Evan Chen OTIS-Excerpts
- The Basics of Olympiad Number Theory
- Olympiad Number Theory Through Challenging Problems

##### Not Free

- Plane Euclidean Geometry: Theory and Problems
- Euclidean Geometry in Mathematical Olympiads
- 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 Strategies
- -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions
- Art and Craft of Problem Solving
- Problem Solving Strategies

### Problem Sets

- Practice problems from around the world
- General problems in Olympiad Mathematics
- 31 Olympiad problems about Probabilistic Method
- 567 Nice and Hard Inequalities
- Inequalities
- 100 Polynomial Problems
- 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 Functional 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)**