Difference between revisions of "Resources for mathematics competitions"

(List of Resources)
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== Math competition classes ==
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==List of Resources==
 +
 
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Elementary: https://www.omegalearn.org/elementary-competition-math
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 +
Middle: https://www.omegalearn.org/middle-competition-math
 +
 
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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.  [http://www.artofproblemsolving.com/Classes/AoPS_C_PSeries.php AoPS Problem Series].
 
* [[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].
* [[EPGY]] hosts classes for [[AMC]] students.
 
  
 
+
== Math Competition Problems ==
== Math competition problems ==
+
=== Problem Books ===
=== Problem books ===
 
 
Many mathematics competitions sell books of past competitions and solutions.  These books can be great supplementary material for avid students of mathematics.
 
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.arml.com/books.htm here].
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* [[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 [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php here] at [[AoPS]].
+
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
* [[MathCounts]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php here] at [[AoPS]].
+
* [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
* [[AMC]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php here] at [[AoPS]].
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* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
* [[Mandelbrot Competition]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php here] at [[AoPS]].
+
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
* [[William Lowell Putnam Mathematical Competition | Putnam Competition]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Putnam.php here] at [[AoPS]].
 
  
 
+
=== Problems Online ===
=== 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:
[[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 exmaples:
 
 
==== Introductory Problem Solvers ====
 
==== Introductory Problem Solvers ====
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/National_Convention/PastTests.aspx contest problems].
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* [[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  .
 
* 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].
 
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].
 
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].
 
* [[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.
 
* 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] - Beestar weekly problem solving tests for grade 1 - 8
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* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8
  
 
==== Intermediate Problem Solvers ====
 
==== Intermediate Problem Solvers ====
 
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
 
* [[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].
 
* 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.
+
* [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 [[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]
 
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]
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* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
 
* [[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].
 
* 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://webspace.utexas.edu/ag6823/www/www.kalva.demon.co.uk/index.html here].)
+
* 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.
 
* [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].
 
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].
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== Articles ==
 
== Articles ==
  
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].
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* [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons and Math Competitions] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_CultureofExpectation.php Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.
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* [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.
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
+
* [https://artofproblemsolving.com/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].
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* [https://artofproblemsolving.com/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]
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* [https://artofproblemsolving.com/news/articles/learning-through-teaching Learning Through Teaching]
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].
+
* [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 ==
 
== A Huge List of Links ==
 
=== AoPS Course Recommendations ===
 
=== AoPS Course Recommendations ===
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]
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*[http://www.artofproblemsolving.com/School/recommendations.php Art of Problem Solving Course Recommendations]
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]
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*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===
 
===AMC 8 Preparation===
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[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]
 
[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/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/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]
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[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]
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[http://www.artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]
  
 
===AIME Preparation===
 
===AIME Preparation===
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[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki]
 
[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 by sorted by difficulty]
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'''[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]'''
  
 
===Beginning Olympiad Preparation===
 
===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=480253 General]
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]
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* [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?]
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* [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=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=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=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=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=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]
+
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]
 +
 
 
====Bunch of General links====
 
====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=31888&hilit=USAMO+prep 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=71008&hilit=USAMO+prep 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=79077&hilit=USAMO+prep USAMO]
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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]
+
* [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=411476&hilit=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=419800&hilit=USAMO+prep]
+
* [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=447454]
+
* [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=453638&hilit=USAMO+prep]
+
* [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=474960&hilit=USAMO+prep]
+
* '''[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=385654]
+
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845]
+
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''
'''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622]'''
+
* '''[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====
 
====Problems====
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section]
+
* [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/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/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/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]
  
 
===Middle/Advanced Olympiad Preparation===
 
===Middle/Advanced Olympiad Preparation===
  
 
====Problems====
 
====Problems====
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]
+
* [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=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=38805 Practice Olympiad 3]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]
+
* [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/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/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/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]
+
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]
 
 
  
 
===Book Links:===
 
===Book Links:===
 
====Olympiad Level====
 
====Olympiad Level====
 
=====Free=====
 
=====Free=====
[http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]
+
* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38802 Hidden Discoveries -- How To]
+
* [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38801 Infinity]
+
* [https://web.evanchen.cc/textbooks/OTIS-Excerpts.pdf Evan Chen OTIS-Excerpts]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38816 Number Theory]
+
* [https://www.dropbox.com/s/0fvyelr8rdh837b/olympiad-number-theory.pdf?dl=0 The Basics of Olympiad Number Theory]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38817 Diophantine Number Theory]
+
* [http://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/olympiad-number-theory.pdf Olympiad Number Theory Through Challenging Problems]
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38818 More Diophantine Number Theory]
 
  
 
=====Not Free=====
 
=====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]
+
* [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]
[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]
+
*[https://www.amazon.com/dp/0883858398/ref=cm_sw_r_cp_awdb_t1_WTaBCbBFKWMPK Euclidean Geometry in Mathematical Olympiads]
[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-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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/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/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies]
+
* [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===
 
===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/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/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]

Revision as of 18:54, 23 October 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.


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

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 examples:

Introductory Problem Solvers

Intermediate Problem Solvers

Olympiad Problem Solvers

Articles

A Huge List of Links

AoPS Course 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

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 Section

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

AIME problems sorted by difficulty

Beginning Olympiad Preparation

Bunch of General links

Problems

Middle/Advanced Olympiad Preparation

Problems

Book Links:

Olympiad Level

Free
Not Free

Problem Sets

Ranking of all Olympiads (Difficulty Level)

See also

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