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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.
+
The [[Art of Problem Solving]] hosts this [[AoPS Wiki]] as well as many other online resources for students interested in [[mathematics competitions]].  Look around the AoPS Wiki.  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]]
 
* [[Math books]]
Line 5: Line 5:
 
* [[Mathematics websites]]
 
* [[Mathematics websites]]
  
 +
== Free Math Books ==
  
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== Math competition classes ==
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* CompetifyHub's Problem Sets [//competifyhub.com/resources/ Free Competition Resources for Grades 1-12]
−
* [[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].
+
* Ritvik Rustagi's [//www.tmasacademy.com/ace-the-amc10-12-free-book ACE The AMC 10 and 12 book]
−
* [[EPGY]] hosts classes for [[AMC]] students.
+
* [//www.omegalearn.org/mastering-amc8 Mastering AMC 8]
 +
* [//www.omegalearn.org/mastering-amc1012 Mastering AMC 10/12]
 +
* [//www.omegalearn.org/thebookofformulas The Book of Formulas]
  
 +
== Free Math Courses ==
 +
 +
* [//math.llmlab.io/courses AMC 8/10/12 Course]
 +
* [//math.llmlab.io/alcumus AMC 8/10/12 Practice]
 +
* [//www.omegalearn.org/amc8-fundamentals AMC 8 Fundamentals Course]
 +
* [//www.omegalearn.org/amc8-advanced AMC 8 Advanced/MATHCOUNTS]
 +
* [//www.omegalearn.org/amc10-12 AMC 10/12 Fundamentals]
 +
* [//thepuzzlr.com/math-courses Introduction To Number Theory]
 +
* [//thepuzzlr.com/courses/amc-8-bootcamp AMC 8 Bootcamp covering all the essential concepts]
 +
* [//thepuzzlr.com/courses/amc-10-crash-course AMC 10 Course]
 +
* [//www.youtube.com/watch?v=bIipw2XSMgU Free MOEMS Course]
 +
 +
== List of Resources ==
 +
* CompetifyHub's Problem Sets [//competifyhub.com/resources/ Free Math Resources for Grades 1-12]
 +
* [//thepuzzlr.com/courses/amc-8-bootcamp All AMC 8 essentials]
 +
* [//thepuzzlr.com/courses/amc-10-crash-course All AMC 10 essentials]
 +
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, Grading, and Problem Trainer ]
 +
* A list of [{{SERVER}}/community/c1967976h2550333 handouts] (Here's [{{SERVER}}/community/c5h1578191p15903900 another])
 +
 +
== Math Competition Classes ==
 +
 +
* [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States.  [{{SERVER}}/Classes/AoPS_C_PSeries.php AoPS Problem Series].
 +
* [[AMC Academy]] hosts private AMC10/12 and AIME Classes taught by USAMO Qualifiers from UCBerkeley, UofToronto, and many more.  [//www.amcacademy.ca AMC Academy Info Link].
 +
 +
== Math Competition Problems ==
 +
 +
=== Problem Books ===
  
−
== 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.
 
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].
+
* CompetifyHub's Problem Sets [//competifyhub.com/resources/ Free Competition Resources for Grades 1-12]
−
* [[MOEMS]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MOEMS.php here] at [[AoPS]].
+
* [[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 [//www.arml2.com/arml_2018/page/index.php?page_type=public&page=books here].
−
* [[MathCounts]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_MC.php here] at [[AoPS]].
+
* [[MOEMS]] books are available [{{SERVER}}/store/list/other-products#MOEMS here] at [[AoPS]].
−
* [[AMC]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_AMC.php here] at [[AoPS]].
+
* [[MATHCOUNTS]] books are available [{{SERVER}}/store/list/other-products#MATHCOUNTS here] at [[AoPS]].
−
* [[Mandelbrot Competition]] books are available [http://www.artofproblemsolving.com/Books/AoPS_B_CP_Mand.php here] at [[AoPS]].
+
* [[AMC]] books are available [{{SERVER}}/store/list/other-products#American Mathematics Competitions 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]].
+
* [[Mandelbrot Competition]] books are available [{{SERVER}}/store/list/other-products#Mandelbrot here] at [[AoPS]].
  
 +
=== Problems Online ===
 +
* CompetifyHub's Problem Sets [//competifyhub.com/resources/ Free Competition Resources for Grades 1-12]
 +
[[Art of Problem Solving]] maintains a very large database of [{{SERVER}}/resources 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:
  
−
=== Problems online ===
+
==== Introductory ====
−
[[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:
+
* [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources for students grades 1-4
−
==== Introductory Problem Solvers ====
+
* [[Mu Alpha Theta]].org and [//math.llmlab.io/ Math.llmlab.io] hosts past [//www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems].
−
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/National_Convention/PastTests.aspx contest problems].
+
* Noetic Learning [//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  .
+
* [[Beestar]].org - 1st to 8th grades Weekly problem solving challenges and honor roll ranking [//www.beestar.org/exercise all  subjects].
−
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page].
+
* [//www.youtube.com/watch?v=1EpNaRaQnVM Introduction to MathCounts] video.
−
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage].
+
* Elias Saab's [[MATHCOUNTS]] [//mathcounts.saab.org/ Drills page].
−
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions.
+
* [//mathteamnyc.weebly.com/mathcounts.html List of all MathCounts competitions from 2000 to 2017].
−
* [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Beestar weekly problem solving tests for grade 1 - 8
+
* [[Alabama Statewide High School Mathematics Contest]] [//mcis.jsu.edu/mathcontest/ homepage].
 +
* The [[South African Mathematics Olympiad]] ([//www.samf.ac.za/QuestionPapers.aspx see here]) includes many years of past problems with solutions.
  
−
==== Intermediate Problem Solvers ====
+
==== Intermediate ====
−
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
+
* [//competifyhub.com/resources CompetifyHub] has Free Competition Math resources for students grades 5-8 and 9-12
−
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].
+
* [[AoPS]] [{{SERVER}}/resources math contest problems and solutions]
−
* The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet.
+
* Past [[United States of America Mathematical Talent Search|USAMTS]] problems can be found at the [//usamts.org USAMTS homepage].
−
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].
+
* [//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
−
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]
+
* The [//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 [//mks.mff.cuni.cz/kalva/ this page])
−
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.
+
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [//www.uccs.edu/%7Easoifer/olympiad.html CMO homepage].
−
*[https://www.clevermath.org/] Is similar to above
+
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [//www.cms.math.ca/Competitions/IMTS/ here]
 +
* [//brilliant.org Brilliant] is a website where one can solve problems to gain points and go to higher levels.
 +
*[//www.clevermath.org Clevermath] Is similar to above
  
−
==== Olympiad Problem Solvers ====
+
==== Olympiad ====
−
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
+
* [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources for students grades 9-12
−
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].
+
* [[AoPS]] [{{SERVER}}/resources math contest problems and solutions]
−
* 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].)
+
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, USA(J)MO Grading, and Problem Trainer ]
−
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.
+
* [//mathcsr.org Math and CS Research] is a math and computer science publication with articles and problem sets on a wide range of topics.
−
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].
+
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [//usamts.org USAMTS homepage].
−
* [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]
+
* The [//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 [//mks.mff.cuni.cz/kalva/ here].)
−
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here]
+
* [//www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions.
−
* [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]
+
* [[Canadian Mathematical Olympiad]] are hosted [//www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society].
 +
* [//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 [//www.cms.math.ca/Competitions/IMTS/ here]
 +
* [//web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists and has been replaced by this web capture]
  
 
== Articles ==
 
== Articles ==
  
−
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].
+
* [//thepuzzlr.com/math-kangaroo-time-management Time Management]
−
* [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.
+
* [{{SERVER}}/news/articles/pros-cons-math-competitions Pros and Cons of Math Competitions] by [[Richard Rusczyk]].
−
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
+
* [{{SERVER}}/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_Questions.php Stupid Questions] by [[Richard Rusczyk]].
+
* [{{SERVER}}/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
−
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]
+
* [{{SERVER}}/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]].
−
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].
+
* [{{SERVER}}/news/articles/learning-through-teaching Learning Through Teaching]
 +
* [{{SERVER}}/news/articles/how-to-write-a-solution How to Write a Math Solution] by [[Richard Rusczyk]] and [[User:MCrawford|Mathew Crawford]].
 +
* [{{SERVER}}/articles/files/KedlayaInequalities.pdf Inequalities] by Dr. Kiran Kedlaya
 +
* [{{SERVER}}/articles/files/MildorfInequalities.pdf Olympiad Inequalities] by Thomas J. Mildorf
 +
* [{{SERVER}}/articles/files/MildorfNT.pdf Olympiad Number Theory: An Abstract Perspective] by Thomas J. Mildorf
 +
* [{{SERVER}}/articles/files/SatoNT.pdf Number Theory] by Naoki Sato
 +
* [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/olympiad-number-theory.pdf Olympiad Number Theory Through Challenging Problems] by Justin Stevens
 +
* [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/bary.pdf Barycentric Coordinates in Olympiad Geometry] by Max Schindler and Evan Chen
 +
* [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/lifting-the-exponent.pdf Lifting the Exponent (LTE)] by Amir Hossein Parvardi
 +
* [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/uvw.pdf The uvw Method] by Mathias Bæk Tejs Knudsen
 +
* [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/crt.pdf The Chinese Remainder Theorem] by Evan Chen
 +
* [//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]
+
* [{{SERVER}}/School/recommendations.php Art of Problem Solving Course Recommendations]
−
[http://www.artofproblemsolving.com/Store/personalrec.php Still have trouble deciding which course? Ask for personal 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 ====
 +
* [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AMC 8 Prep
 +
[{{SERVER}}/community/c3413 AMC 8 Problems in the Resources Section]
 +
 
 +
Problem and Solutions: [[AMC_8_Problems_and_Solutions|AMC 8 Problems in the AoPS Wiki]]
 +
 
 +
=== AMC 10/12 Preparation ===
 +
 
 +
* [{{SERVER}}/community/c5h388108 How preparing for the AIME will help AMC 10/12 Score]
 +
* [{{SERVER}}/community/c5h396741 What class to take]
 +
* [{{SERVER}}/community/c5h387918 AMC 10 for AMC 12 practice]
 +
* [{{SERVER}}/community/c5h385418 AMC prep]
 +
* [{{SERVER}}/community/c5h384828 AMC 10/12 Preparation]
 +
* [{{SERVER}}/community/c5h384747 AIME/AMC 10 Overlap and Preparation]
 +
* [{{SERVER}}/community/c4h378851 How to prepare for AMC 10 and AIME]
 +
* [{{SERVER}}/community/c4h369849 Preparation for AMC 10]
 +
 
 +
==== Problems ====
 +
[//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AMC 10/12 Prep
 +
 
 +
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, USA(J)MO Grading, and Problem Trainer(with helpful hints!) ]
 +
 
 +
[{{SERVER}}/community/c3414_amc_10 AMC 10 Problems in the Resources Section]
 +
 
 +
[[AMC 10 Problems and Solutions]]
 +
 
 +
[{{SERVER}}/community/c3415_amc_12ahsme AMC 12 Problems in the Resources Section]
  
−
===AMC 8 Preparation===
+
[{{SERVER}}/wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]
−
====Problems====
 
−
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]
 
−
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]
 
  
−
===AMC 10/12 Preparation===
+
[[AMC_12_Problems_and_Solutions|AMC 12 Problems in the AoPS Wiki]]
−
[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===
 
===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]
 
  
−
===Beginning Olympiad Preparation===
+
* [{{SERVER}}/community/c5h397954 Studying to qualify for USAMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General]
+
* [{{SERVER}}/community/c5h400442 How to prepare for the AIME]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]
+
* [{{SERVER}}/community/c5h399160 Preparation for the AIME]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?]
+
* [{{SERVER}}/community/c5h357602 Using non-AIME questions to prepare for AIME]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems]
+
* [{{SERVER}}/community/c4h355918 Best books to prepare for AIME]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?]
+
* [{{SERVER}}/community/c5h344816 How to improve AIME score to make JMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?]
+
* [{{SERVER}}/community/c5h341827 Preparation for AIME and USAMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare]
+
* [//www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf BOGTRO's AIME list of topics]
−
[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]
+
==== Problems ====
−
====Bunch of General links====
+
[//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AIME Prep
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep]
+
[{{SERVER}}/community/c3416 AIME Problems in the Resources Section]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep]
+
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep]
+
* [//https://mathema-amc.replit.app/ Mathema] has free problem lookup, trainer, and hint generation to push you toward the solution
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654]
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845]
 
−
'''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622]'''
 
  
−
====Problems====
+
[[AIME Problems and Solutions]]
−
[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===
+
'''[//drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]'''
  
−
====Problems====
+
===Beginning Olympiad Preparation===
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1]
+
* [{{SERVER}}/community/c5h480253 General]
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2]
+
* [{{SERVER}}/community/c5h481746 General]
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3]
+
* [{{SERVER}}/community/c5h401061 How to Prepare for USAJMO]
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]
+
* [{{SERVER}}/community/c5h399023 USAMO preparation/doing problems]
−
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section]  
+
* [{{SERVER}}/community/c5h396736 Easier Olympiads for USAJMO practice]
−
[http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki]
+
* [{{SERVER}}/community/c5h366383 For the USAMO: ACoPS or Engel]
−
[http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section]
+
* [{{SERVER}}/community/c5h360619 Olympiad problems- how to prepare]
−
[http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki]
+
* [{{SERVER}}/community/c5h354103 USAMO/Olympiads Preparation: Where to start]
 +
* [{{SERVER}}/community/c5h344929 USAJMO prep]
  
 +
==== General links ====
 +
* [{{SERVER}}/community/c5h31888 USAMO Prep]
 +
* [{{SERVER}}/community/c5h71008 USAMO Prep]
 +
* [{{SERVER}}/community/c5h79077 USAMO]
 +
* [{{SERVER}}/community/c5h81296 USAMO prep ]
 +
* [{{SERVER}}/community/c5h143168 USAMO Prep]
 +
* [{{SERVER}}/community/c5h273572 Counting down to USAMO]
 +
* [{{SERVER}}/community/c5h294132 USAMO Preparation]
 +
* [{{SERVER}}/community/c5h344929 USAJMO prep]
 +
* [{{SERVER}}/community/c5h385092 USAMO Preparation]
 +
* [{{SERVER}}/community/c5h397424 USAJMO Prep]
 +
* [{{SERVER}}/community/c5h401201 How to prepare for the USAMO/Making Red MOP]
 +
* [{{SERVER}}/community/c5h401640 Preparing in a hardcore way]
 +
* [{{SERVER}}/community/c5h406402 USAMO and JMO prep]
 +
* [{{SERVER}}/community/c5h411476 USAMO PREP]
 +
* [{{SERVER}}/community/c5h419800 Beginner to USAMO]
 +
* [{{SERVER}}/community/c5h447454 What should I be doing]
 +
* [{{SERVER}}/community/c5h453638 Improve to USAMO and IMO level]
 +
* [{{SERVER}}/community/c5h474960 Prep for USA(J)MO]
 +
* [{{SERVER}}/community/c5h385654 contest math stuff/some advice on how to get good]
 +
* [{{SERVER}}/community/c5h420845 Olympiad Prep]
 +
* [{{SERVER}}/community/c5h420845 Olympiad Prep]
 +
* [{{SERVER}}/community/c5h619416 USAJMO Prep]
 +
* [{{SERVER}}/community/c5h520900 The Right Training]
 +
* [//usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests What Leads to Success]
 +
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, USA(J)MO Grading, and Problem Trainer(with helpful hints!) ]
  
−
===Book Links:===
+
==== Problems ====
−
====Olympiad Level====
 
−
=====Free=====
 
−
[http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38802 Hidden Discoveries -- How To]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38801 Infinity]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38816 Number Theory]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38817 Diophantine Number Theory]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38818 More Diophantine Number Theory]
 
  
−
=====Not Free=====
+
* [{{SERVER}}/community/c3420_usajmo USAJMO Problems in the Resources Section]
−
[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]
+
* [[USAJMO Problems and Solutions]]
−
[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]
+
* [//www.usamts.org/contest/past-problems USAMTS Problems]
−
[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]
+
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, USA(J)MO Grading, and Problem Trainer(with helpful hints!) ]
−
[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===
+
===Middle/Advanced Olympiad Preparation===
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=1068 31 Olympiad problems about Probabilistic Method]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=30721 567 Nice and Hard Inequalities]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32201 Inequalities]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32093 100 Polynomial Problems]
 
−
[http://http://www.artofproblemsolving.com/Forum/download/file.php?id=32270 161 Inequalities]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=31329 Trigonometry Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32212 General all levels]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32310 Number Theory]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32228 Olympiad Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33993 33 Functional Equations]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33874 Induction Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33873 Induction Solutions]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32128 260 Geometry Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=30649 150 Geometry Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=35398 50 Diophantine Equation Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=35716 60 Geometry Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33026 116 Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32361 Algebraic Inequalities]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33543 100 Combinatorics Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=30597 100 Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=32007 Number Theory]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=37234 Geometry]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=37233 General]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33551 100 Number Theory Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=33486 100 Functional Equation Problems]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=37457 Beginning/Intermediate Counting and Probability]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=37628 40 Functional Equations]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=35164 100 Geometric Inequalities]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38538 10 Fun Unconventional Problems :)]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=35831 169 Functional Equations]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38916 Triangle Geometry]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38915 Probability]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38914 Algebra]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38920 Number Theory]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38918 Circle Geometry]
 
−
[http://www.artofproblemsolving.com/Forum/download/file.php?id=38919 Other Geometry]
 
  
−
'''[http://www.artofproblemsolving.com/Wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]'''
+
====Problems====
 +
* [{{SERVER}}/Forum/download/file.php?id=38803 Practice Olympiad 1]
 +
* [{{SERVER}}/Forum/download/file.php?id=38804 Practice Olympiad 2]
 +
* [{{SERVER}}/Forum/download/file.php?id=38805 Practice Olympiad 3]
 +
* [{{SERVER}}/Forum/download/file.php?id=38806 Practice Olympiad Solutions]
 +
* [{{SERVER}}/community/c3409_usamo USAMO Problems in the Resources Section]
 +
* [[USAMO Problems and Solutions]]
 +
* [{{SERVER}}/community/c3222_imo IMO Problems in the Resources Section]
 +
* [[IMO Problems and Solutions]]
 +
* [//mathgauss.com/ MathGauss: Free AMC/AIME/USAJMO Lessons, USA(J)MO Grading, and Problem Trainer(with helpful hints!) ]
  
−
== See also ==
+
== See Also ==
  
 
* [[List of mathematics competitions]]
 
* [[List of mathematics competitions]]
Line 222: Line 232:
 
* [[Science competitions]]
 
* [[Science competitions]]
 
* [[Informatics competitions]]
 
* [[Informatics competitions]]
 +
* [[How should I prepare?]]

Latest revision as of 12:49, 24 July 2025

The Art of Problem Solving hosts this AoPS Wiki as well as many other online resources for students interested in mathematics competitions. Look around the AoPS Wiki. 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

Free Math Courses

List of Resources

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

Intermediate

Olympiad

Articles

A Huge List of Links

AoPS Course Recommendations

AMC 8 Preparation

Problems

  • CompetifyHub has Free Competition Math resources problems for AMC 8 Prep

AMC 8 Problems in the Resources Section

Problem and Solutions: AMC 8 Problems in the AoPS Wiki

AMC 10/12 Preparation

Problems

CompetifyHub has Free Competition Math resources problems for AMC 10/12 Prep

AMC 10 Problems in the Resources Section

AMC 10 Problems and Solutions

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

Problems

CompetifyHub has Free Competition Math resources problems for AIME Prep AIME Problems in the Resources Section

  • Mathema has free problem lookup, trainer, and hint generation to push you toward the solution

AIME Problems and Solutions

AIME problems sorted by difficulty

Beginning Olympiad Preparation

General links

Problems

Middle/Advanced Olympiad Preparation

Problems

See Also

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