Difference between revisions of "Resources for mathematics competitions"

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* [[Mathematics websites]]
 
* [[Mathematics websites]]
  
== Access FREE MATHCOUNTS & AMC Solutions ==
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== Free Math Books ==
Upgrade your math game for FREE at https://rb.gy/g0sfx! Discover our revolutionary approach to learning, designed to provide you with intuitive solutions that will ensure lasting retention on the day of the exam!
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Ritvik Rustagi's [https://www.tmasacademy.com/ace-the-amc10-12-free-book ACE The AMC 10 and 12 book]
 
 
We offer
 
* Varied examples
 
* Expert instruction
 
* Step-by-step teaching
 
 
 
Enjoy!
 
 
 
== Quick Start Video Introduction to the AMC ==
 
[https://youtu.be/C2CSITfTwqw/  A quick video overview of the AMC and AIME].
 
 
 
== Training Websites ==
 
* AMC Problem Trainer: https://amctrainer.com/play
 
* Problem generator and AoPS Wiki Reader: https://vqbc.github.io/trivial/
 
* mathRanks contests: https://mathranks.net/
 
* twice annual elementary/middle school contests: https://www.beestar.org/math-competition/
 
 
 
== Intuitive olympiad solutions ==
 
https://www.imomath.xyz/
 
  
Intuitive solutions to IMO problems posted, that helps the reader understand *how* to think of the solution on their own rather than simply memorizing the trick in the solution. Over a million views, very widespread.
 
 
== Free Math Books ==
 
 
Mastering AMC 8: https://www.omegalearn.org/mastering-amc8
 
Mastering AMC 8: https://www.omegalearn.org/mastering-amc8
  
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The Book of Formulas: https://www.omegalearn.org/thebookofformulas
 
The Book of Formulas: https://www.omegalearn.org/thebookofformulas
  
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== Free Math Courses ==
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AMC 8/10/12 Course: https://math.llmlab.io/courses
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AMC 8/10/12 Practice: https://math.llmlab.io/alcumus
  
== Free Math Courses ==
 
 
AMC 8 Fundamentals Course: https://www.omegalearn.org/amc8-fundamentals
 
AMC 8 Fundamentals Course: https://www.omegalearn.org/amc8-fundamentals
  
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== Math Competition Classes ==
 
== 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].
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* [[AMC Academy]] hosts private AMC10/12 and AIME Classes taught by USAMO Qualifiers from UCBerkeley, UofToronto, and many more.  [https://www.amcacademy.ca AMC Academy Info Link].
  
 
== Math Competition Problems ==
 
== Math Competition Problems ==
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* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].
 
* [[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  .
* [http://www.beestar.org/index.jsp?adid=106 Beestar] - 1st to 8th grades Weekly problem solving challenges and honor roll ranking.  
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* [[Beestar]].org - 1st to 8th grades Weekly problem solving challenges and honor roll ranking.  
 
* [https://www.youtube.com/watch?v=1EpNaRaQnVM Introduction to MathCounts] video.
 
* [https://www.youtube.com/watch?v=1EpNaRaQnVM Introduction to MathCounts] video.
 
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].
 
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].
 
* [http://mathteamnyc.weebly.com/mathcounts.html List of all MathCounts competitions from 2000 to 2017].
 
* [http://mathteamnyc.weebly.com/mathcounts.html List of all MathCounts competitions from 2000 to 2017].
 
* [[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.
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* The [[South African Mathematics Olympiad]] ([http://www.samf.ac.za/QuestionPapers.aspx see here]) includes many years of past problems with solutions.
 
 
  
 
==== Intermediate Problem Solvers ====
 
==== Intermediate Problem Solvers ====
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* [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]
 
* [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]
 
* 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]
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* [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 this web capture]
  
 
== Articles ==
 
== Articles ==
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====Problems====
 
====Problems====
 
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[https://artofproblemsolving.com/community/c3413_amc_8 AMC 8 Problems in the Resources Section]
[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]
 
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]
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===AMC 10/12 Preparation===
 
===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]  
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[http://www.artofproblemsolving.com/community/c5h388108 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?]
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[http://www.artofproblemsolving.com/community/c5h396741 What class to take?]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=387918&hilit=preparation AMC 10 for AMC 12 practice]
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[http://www.artofproblemsolving.com/community/c5h387918 AMC 10 for AMC 12 practice]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385418&hilit=preparation AMC prep]
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[http://www.artofproblemsolving.com/community/c5h385418 AMC prep]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384828&hilit=preparation AMC 10/12 Preparation]
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[http://www.artofproblemsolving.com/community/c5h384828 AMC 10/12 Preparation]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=384747&hilit=preparation AIME/AMC 10 Overlap and Preparation]
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[http://www.artofproblemsolving.com/community/c5h384747 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?]
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[http://www.artofproblemsolving.com/community/c4h378851 How to prepare for amc10 and aime?]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=149&t=369849&hilit=preparation Preparation for AMC 10?]
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[http://www.artofproblemsolving.com/community/c4h369849 Preparation for AMC 10?]
 
====Problems====
 
====Problems====
  
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]
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[https://artofproblemsolving.com/community/c3414_amc_10 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]
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[https://artofproblemsolving.com/community/c3415_amc_12ahsme 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/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]
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===AIME Preparation===
 
===AIME Preparation===
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397954&hilit=preparation Studying to qualify for USAMO]
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[http://www.artofproblemsolving.com/community/c5h397954 Studying to qualify for USAMO]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=400442&hilit=preparation How to prepare for the AIME]
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[http://www.artofproblemsolving.com/community/c5h400442 How to prepare for the AIME]
  
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]
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[http://www.artofproblemsolving.com/community/c5h399160 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]
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[http://www.artofproblemsolving.com/community/c5h357602 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?]
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[http://www.artofproblemsolving.com/community/c4h355918 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?]
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[http://www.artofproblemsolving.com/community/c5h344816 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]
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[http://www.artofproblemsolving.com/community/c5h341827 Preparation for AIME and USAMO]
  
 
BOGTRO's AIME list of topics: https://www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf?dl=0
 
BOGTRO's AIME list of topics: https://www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf?dl=0
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====Problems====
 
====Problems====
  
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]
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[https://artofproblemsolving.com/community/c3416_aime_problems AIME Problems in the Resources Section]
  
 
[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]
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===Beginning Olympiad Preparation===
 
===Beginning Olympiad Preparation===
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]
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* [http://www.artofproblemsolving.com/community/c5h480253 General]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]
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* [http://www.artofproblemsolving.com/community/c5h481746 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/community/c5h401061 How to Prepare for USAJMO?]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]
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* [http://www.artofproblemsolving.com/community/c5h399023 USAMO preparation/doing problems]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]
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* [http://www.artofproblemsolving.com/community/c5h396736 Easier Olympiads for USAJMO practice?]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]
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* [http://www.artofproblemsolving.com/community/c5h366383 For the USAMO: ACoPS or Engel?]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]
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* [http://www.artofproblemsolving.com/community/c5h360619 Olympiad problems- how to prepare]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?]
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* [http://www.artofproblemsolving.com/community/c5h354103 USAMO/Olympiads Preparation: Where to start?]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep]
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* [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep]
  
 
====Bunch of General links====
 
====Bunch of General links====
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep]
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* [http://www.artofproblemsolving.com/community/c5h31888 USAMO Prep]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep]
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* [http://www.artofproblemsolving.com/community/c5h71008 USAMO Prep]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO]
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* [http://www.artofproblemsolving.com/community/c5h79077 USAMO]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ]
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* [http://www.artofproblemsolving.com/community/c5h81296 Usamo prep ]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep]
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* [http://www.artofproblemsolving.com/community/c5h143168 USAMO Prep]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO]
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* [http://www.artofproblemsolving.com/community/c5h273572 Counting down to USAMO]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation]
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* [http://www.artofproblemsolving.com/community/c5h294132 USAMO Preparation]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep]
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* [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation]
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* [http://www.artofproblemsolving.com/community/c5h385092 USAMO Preparation]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep]
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* [http://www.artofproblemsolving.com/community/c5h397424 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]
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* [http://www.artofproblemsolving.com/community/c5h401201 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]
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* [http://www.artofproblemsolving.com/community/c5h401640 Preparing in a hardcore way]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep]
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* [http://www.artofproblemsolving.com/community/c5h406402 USAMO and JMO prep]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP]
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* [http://www.artofproblemsolving.com/community/c5h411476 USAMO PREP]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO]
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* [http://www.artofproblemsolving.com/community/c5h419800 Beginner to USAMO]
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?]
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* [http://www.artofproblemsolving.com/community/c5h447454 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]
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* [http://www.artofproblemsolving.com/community/c5h453638 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]
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* [http://www.artofproblemsolving.com/community/c5h474960 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]'''
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* '''[http://www.artofproblemsolving.com/community/c5h385654 contest math stuff/some advice on how to get good]'''
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep]
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* [http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]
* '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]'''
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* '''[http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]'''
* '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]'''
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* '''[http://www.artofproblemsolving.com/community/c5h619416 USAJMO Prep]'''
 
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]'''
 
* '''[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]'''
 
* '''[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]
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* [https://artofproblemsolving.com/community/c3420_usajmo 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]
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* [https://artofproblemsolving.com/community/c3409_usamo 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]
  
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* [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]  
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* [https://artofproblemsolving.com/community/c3409_usamo 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]
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* [https://artofproblemsolving.com/community/c3222_imo 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:===
 
====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]
 
* [https://drive.google.com/file/d/1BcJTLjQaelZ4w_70oHKyImC2I8zLfyrt/view?usp=sharing Modern Olympiad Number Theory]
 
 
=====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===
 
* [http://www.casperyc.club/amc Collection of Past Papers in PDF Format]
 
* [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]
 
* [https://mathcsr.org/article.html?type=problemsolving&a=cHJvYiBwcm9ibGVt&v=1&n=1&t=Q29uZGl0aW9uYWwgUHJvYmFiaWxpdHkgUHJvYmxlbSBTZXQ= Conditional Probability Problem Set]
 
* [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 ==
 
== See also ==

Latest revision as of 22:06, 19 July 2024

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.

Free Math Books

Ritvik Rustagi's ACE The AMC 10 and 12 book

Mastering AMC 8: https://www.omegalearn.org/mastering-amc8

Mastering AMC 10/12: https://www.omegalearn.org/mastering-amc1012

The Book of Formulas: https://www.omegalearn.org/thebookofformulas

Free Math Courses

AMC 8/10/12 Course: https://math.llmlab.io/courses

AMC 8/10/12 Practice: https://math.llmlab.io/alcumus

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

AMC 8 Advanced/MATHCOUNTS: https://www.omegalearn.org/amc8-advanced

AMC 10/12 Fundamentals: https://www.omegalearn.org/amc10-12

Introduction To Number Theory: https://thepuzzlr.com/math-courses

Free AMC 8 Bootcamp covering all the essential concepts: https://thepuzzlr.com/courses/amc-8-bootcamp/

Free AMC 10 Course: https://thepuzzlr.com/courses/amc-10-crash-course/

List of Resources

All AMC 8 essentials: https://thepuzzlr.com/courses/amc-8-bootcamp/

All AMC 10 essentials: https://thepuzzlr.com/courses/amc-10-crash-course/

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

BOGTRO's AIME list of topics: https://www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf?dl=0

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

See also