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Difference between revisions of "Resources for mathematics competitions"

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* [[Mathematics websites]]
 
* [[Mathematics websites]]
  
 +
== Free Math Books ==
 +
Ritvik Rustagi's [https://www.tmasacademy.com/ace-the-amc10-12-free-book ACE The AMC 10 and 12 book]
  
−
== Math competition classes ==
+
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 ==
 
* [[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.
 
  
 +
* [[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 ==
−
=== 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].
+
* [[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]].
+
* [[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 exmaples:
+
[[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems].  Many math contest websites include archives of past problems.  The [[List of mathematics competitions]] leads to links for many of these competition homepages.  Here are a few examples:
 
==== Introductory Problem Solvers ====
 
==== Introductory Problem Solvers ====
−
* [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/National_Convention/PastTests.aspx 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  .
 +
* [[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.
 
* 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].
 
* [[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 see 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
 
  
 
==== 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]
 
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.
 
* [https://brilliant.org/ Brilliant] is a website where one can solve problems to gain points and go to higher levels.
 +
*[https://www.clevermath.org/ Clevermath] Is similar to above
  
 
==== Olympiad Problem Solvers ====
 
==== Olympiad 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]
 +
* [https://mathcsr.org Math and CS Research] is a math and computer science publication with articles and problem sets on a wide range of topics.
 
* 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].
−
* [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.]
+
* [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 ==
−
 
+
* [https://thepuzzlr.com/math-kangaroo-time-management Time Management]
−
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Contests.php Pros and Cons and Math Competitions] by [[Richard Rusczyk]].
+
* [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons of 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.
+
* [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]].
+
* [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]
+
* [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]
+
*[http://www.artofproblemsolving.com/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===
 
===AMC 8 Preparation===
 +
 
====Problems====
 
====Problems====
−
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 AMC 8 Problems in the Resources Section]
+
[https://artofproblemsolving.com/community/c3413_amc_8 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]
+
 
 +
Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki]
  
 
===AMC 10/12 Preparation===
 
===AMC 10/12 Preparation===
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score]  
+
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396741&hilit=preparation What class to take?]
+
[http://www.artofproblemsolving.com/community/c5h388108 How preparing for the AIME will help AMC 10/12 Score]  
−
[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/community/c5h396741 What class to take?]
−
[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/community/c5h387918 AMC 10 for AMC 12 practice]
−
[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?]
+
[http://www.artofproblemsolving.com/community/c5h385418 AMC prep]
 +
 
 +
[http://www.artofproblemsolving.com/community/c5h384828 AMC 10/12 Preparation]
 +
 
 +
[http://www.artofproblemsolving.com/community/c5h384747 AIME/AMC 10 Overlap and Preparation]
 +
 
 +
[http://www.artofproblemsolving.com/community/c4h378851 How to prepare for amc10 and aime?]
 +
 
 +
[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]
+
 
−
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]
+
[https://artofproblemsolving.com/community/c3414_amc_10 AMC 10 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]
+
[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_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]
+
 
 +
[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/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/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]
+
 
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399160&hilit=preparation Preparation for the AIME]
+
[http://www.artofproblemsolving.com/community/c5h400442 How to prepare 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/community/c5h399160 Preparation for the 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]
+
[http://www.artofproblemsolving.com/community/c5h357602 Using non-AIME questions to prepare for AIME]
 +
 
 +
[http://www.artofproblemsolving.com/community/c4h355918 Best books to prepare for AIME?]
 +
 
 +
[http://www.artofproblemsolving.com/community/c5h344816 How to improve AIME score to make JMO?]
 +
 
 +
[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
 +
 
 
====Problems====
 
====Problems====
−
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME Problems in the Resources Section]
+
 
 +
[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]
 +
 +
'''[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/community/c5h480253 General]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General]
+
* [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?]
+
* [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]
+
* [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?]
+
* [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?]
+
* [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]
+
* [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?]
+
* [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]
+
* [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]
+
* [http://www.artofproblemsolving.com/community/c5h31888 USAMO Prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h71008 USAMO Prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h79077 USAMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h81296 Usamo prep ]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h143168 USAMO Prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h273572 Counting down to USAMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h294132 USAMO Preparation]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep]
+
* [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h385092 USAMO Preparation]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep]
+
* [http://www.artofproblemsolving.com/community/c5h397424 USAJMO Prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep]
+
* [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]
+
* [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]
+
* [http://www.artofproblemsolving.com/community/c5h406402 USAMO and JMO prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h411476 USAMO PREP]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h419800 Beginner to USAMO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h447454 What should I be doing?]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454]
+
* [http://www.artofproblemsolving.com/community/c5h453638 Improve to USAMO and IMO level]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep]
+
* [http://www.artofproblemsolving.com/community/c5h474960 Prep for USA(J)MO]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep]
+
* '''[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=385654]
+
* [http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]
−
[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845]
+
* '''[http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]'''
−
'''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622]'''
+
* '''[http://www.artofproblemsolving.com/community/c5h619416 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]
+
* [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]
+
* [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]
  
 
===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]  
+
* [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]
+
* [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=====
 
−
[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=====
 
−
[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]
 
−
[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.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)]'''
 
  
 
== See also ==
 
== See also ==
Line 221: Line 231:
 
* [[Science competitions]]
 
* [[Science competitions]]
 
* [[Informatics competitions]]
 
* [[Informatics competitions]]
 +
* [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare]

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

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