Difference between revisions of "Resources for mathematics competitions"

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* [[Mathematics websites]]
 
* [[Mathematics websites]]
  
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==Free eBook of Mathematical Formulas and Strategies==
 +
130+ page free eBook of Mathematical Formulas and Strategies: https://www.omegalearn.org/thebookofformulas
 +
 +
== Math Courses ==
 +
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/
 +
 +
==List of Resources==
 +
 +
Elementary: https://www.omegalearn.org/elementary-competition-math
 +
 +
Middle: https://www.omegalearn.org/middle-competition-math
 +
 +
High: https://www.omegalearn.org/high-competition-math
 +
 +
Everything you need to know for the AMC 8: https://thepuzzlr.com/courses/amc-8-bootcamp/
 +
 +
 +
AMC 8 Fundamentals Class: https://www.omegalearn.org/amc8-fundamentals
 +
 +
AMC 8 Video Solutions Playlist: https://www.youtube.com/watch?v=TRGPF3BxujE&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL
 +
 +
AMC/MATHCOUNTS Class: https://www.omegalearn.org/amc8-advanced
  
 
== 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].
* [[EPGY]] hosts classes for [[AMC]] students.
 
  
 
== Math Competition Problems ==
 
== Math Competition Problems ==
 
=== Problem Books ===
 
=== Problem Books ===
 
Many mathematics competitions sell books of past competitions and solutions.  These books can be great supplementary material for avid students of mathematics.
 
Many mathematics competitions sell books of past competitions and solutions.  These books can be great supplementary material for avid students of mathematics.
* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions.  However, they are generally difficult to find.  Some can be ordered [http://www.arml.com/books.htm here].
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* [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions.  However, they are generally difficult to find.  Some can be ordered [http://www.arml2.com/arml_2018/page/index.php?page_type=public&page=books here].
 
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 
* [[MOEMS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 
* [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 
* [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
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* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
 
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions]
 
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].
 
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage].
 +
* [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])
 
* 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].
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==== 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://mks.mff.cuni.cz/kalva/ 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].)
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== 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]].
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* [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons of Math Competitions] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/articles/culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.
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* [https://artofproblemsolving.com/news/articles/establishing-a-positive-culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill.
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Mistakes.php Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
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* [https://artofproblemsolving.com/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Questions.php Stupid Questions] by [[Richard Rusczyk]].
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* [https://artofproblemsolving.com/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]].
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_Teaching.php Learning Through Teaching]
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* [https://artofproblemsolving.com/news/articles/learning-through-teaching Learning Through Teaching]
* [http://www.artofproblemsolving.com/Resources/AoPS_R_A_HowWrite.php How to Write a Solution] by [[Richard Rusczyk]] and [[user:MCrawford | Mathew Crawford]].
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* [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
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* [https://artofproblemsolving.com/articles/files/MildorfInequalities.pdf Olympiad Inequalities] by Thomas J. Mildorf
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* [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
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* [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
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* [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/lifting-the-exponent.pdf Lifting the Exponent (LTE)] by Amir Hossein Parvardi
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* [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/uvw.pdf The uvw Method] by Mathias Bæk Tejs Knudsen
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* [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/crt.pdf The Chinese Remainder Theorem] by Evan Chen
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* [https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/Recollection.pdf Contest Reflections] by Wanlin Li
  
 
== A Huge List of Links ==
 
== A Huge List of Links ==
 
=== AoPS Course Recommendations ===
 
=== AoPS Course Recommendations ===
*[http://www.artofproblemsolving.com/School/recommendations.php: Art of Problem Solving Course Recommendations]
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*[http://www.artofproblemsolving.com/School/recommendations.php Art of Problem Solving Course Recommendations]
*Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!]
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*Do you still have trouble deciding which course? Go to the above link and click '''contact us''' at the bottom of the Course Map section to ask for personal recommendations!
  
 
===AMC 8 Preparation===
 
===AMC 8 Preparation===
 +
 +
Free AMC 8 Classes: https://thepuzzlr.com/courses/amc-8-bootcamp/
 
====Problems====
 
====Problems====
 +
Free AMC 8 Classes: omegalearn.org/amc8-fundamentals
 +
omegalearn.org/amc8-advanced
 +
 +
These classes cover all of the important concepts needed to do well on the AMC 8.
 +
 +
AMC 8 Video Solutions: https://www.youtube.com/watch?v=TRGPF3BxujE&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL
 +
 
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=42 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]
  
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===AMC 10/12 Preparation===
 
===AMC 10/12 Preparation===
 +
AMC 10/12 130+ page Book of Mathematical Formulas and Strategies: https://www.omegalearn.org/thebookofformulas
 +
 +
Free AMC 10/12 Classes: omegalearn.org/amc10-12
 +
 
[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=388108&hilit=preparation How preparing for the AIME will help AMC 10/12 Score]  
  
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[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]
 
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section]
  
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]
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[http://www.artofproblemsolving.com/wiki/index.php/AMC_10_Problems_and_Solutions AMC 10 Problems in the AoPS Wiki]
  
 
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]
 
[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12 Problems in the Resources Section]
  
[http://www.artofproblemsolving.com/Wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]
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[http://www.artofproblemsolving.com/wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki]
  
[http://www.artofproblemsolving.com/Wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]
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[http://www.artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki]
  
 
===AIME Preparation===
 
===AIME Preparation===
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* [https://drive.google.com/file/d/0B3gLVLnxtyRvejlpenRmZGh6SDQ/view?usp=sharing Lemmas in Olympiad Geometry article]
 
* [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]
 
* [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=====
 
=====Not Free=====
 
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]
 
* [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems]
* [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry]
+
*[https://www.amazon.com/dp/0883858398/ref=cm_sw_r_cp_awdb_t1_WTaBCbBFKWMPK Euclidean Geometry in Mathematical Olympiads]
 +
*[http://www.amazon.com/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/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/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]
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* [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world]
 
* [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://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/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method]
 
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]
 
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities]

Revision as of 04:19, 3 May 2021

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 eBook of Mathematical Formulas and Strategies

130+ page free eBook of Mathematical Formulas and Strategies: https://www.omegalearn.org/thebookofformulas

Math Courses

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/

List of Resources

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

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

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

Everything you need to know for the AMC 8: https://thepuzzlr.com/courses/amc-8-bootcamp/


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

AMC 8 Video Solutions Playlist: https://www.youtube.com/watch?v=TRGPF3BxujE&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL

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

Math Competition Classes

Math Competition Problems

Problem Books

Many mathematics competitions sell books of past competitions and solutions. These books can be great supplementary material for avid students of mathematics.

Problems Online

Art of Problem Solving maintains a very large database of math contest problems. Many math contest websites include archives of past problems. The List of mathematics competitions leads to links for many of these competition homepages. Here are a few examples:

Introductory Problem Solvers

Intermediate Problem Solvers

Olympiad Problem Solvers

Articles

A Huge List of Links

AoPS Course Recommendations

AMC 8 Preparation

Free AMC 8 Classes: https://thepuzzlr.com/courses/amc-8-bootcamp/

Problems

Free AMC 8 Classes: omegalearn.org/amc8-fundamentals omegalearn.org/amc8-advanced

These classes cover all of the important concepts needed to do well on the AMC 8.

AMC 8 Video Solutions: https://www.youtube.com/watch?v=TRGPF3BxujE&list=PLbhMrFqoXXwmwbk2CWeYOYPRbGtmdPUhL

AMC 8 Problems in the Resources Section

Problem and Solutions: AMC 8 Problems in the AoPS wiki

AMC 10/12 Preparation

AMC 10/12 130+ page Book of Mathematical Formulas and Strategies: https://www.omegalearn.org/thebookofformulas

Free AMC 10/12 Classes: omegalearn.org/amc10-12

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

What class to take?

AMC 10 for AMC 12 practice

AMC prep

AMC 10/12 Preparation

AIME/AMC 10 Overlap and Preparation

How to prepare for amc10 and aime?

Preparation for AMC 10?

Problems

AMC 10 Problems in the Resources Section

AMC 10 Problems in the AoPS Wiki

AMC 12 Problems in the Resources Section

AHSME (Old AMC 12) Problems in the AoPS Wiki

AMC 12 Problems in the AoPS Wiki

AIME Preparation

Studying to qualify for USAMO

How to prepare for the AIME

Preparation for the AIME

Using non-AIME questions to prepare for AIME

Best books to prepare for AIME?

How to improve AIME score to make JMO?

Preparation for AIME and USAMO

Problems

AIME Problems in the Resources Section

AIME Problems in the AoPS Wiki

AIME problems sorted by difficulty

Beginning Olympiad Preparation

Bunch of General links

Problems

Middle/Advanced Olympiad Preparation

Problems

Book Links:

Olympiad Level

Free
Not Free

Problem Sets

Ranking of all Olympiads (Difficulty Level)

See also