Difference between revisions of "Resources for mathematics competitions"
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− | == Math | + | == 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]. | ||
− | |||
− | + | == Math Competition Problems == | |
− | == Math | + | === Problem Books === |
− | === Problem | ||
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]] 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 [ | + | * [[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]]. |
− | * [[AMC]] books are available [ | + | * [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. |
− | * [[Mandelbrot Competition]] books are available [ | + | * [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]]. |
− | |||
− | + | === Problems Online === | |
− | === Problems | + | [[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples: |
− | [[Art of Problem Solving]] maintains a very large database of [http://www.artofproblemsolving.com/Forum/resources.php math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few | ||
==== Introductory Problem Solvers ==== | ==== Introductory Problem Solvers ==== | ||
− | * [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/ | + | * [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems]. |
* Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students . | * Noetic Learning [http://www.noetic-learning.com/gifted/index.jsp Challenge Math] - Problem Solving for the Gifted Elementary Students . | ||
* Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page]. | * Elias Saab's [[MathCounts]] [http://mathcounts.saab.org/ Drills page]. | ||
* [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage]. | * [[Alabama Statewide High School Mathematics Contest]] [http://mcis.jsu.edu/mathcontest/ homepage]. | ||
* The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions. | * The [[South African Mathematics Olympiad]] [http://www.samf.ac.za/QuestionPapers.aspx here] includes many years of past problems with solutions. | ||
− | * [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - | + | * [http://www.beestar.org/index.jsp?adid=106 Beestar.org] - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8 |
==== Intermediate Problem Solvers ==== | ==== Intermediate Problem Solvers ==== | ||
* [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions] | * [[AoPS]] [http://www.artofproblemsolving.com/Forum/resources.php math contest problems and solutions] | ||
* Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage]. | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [http://usamts.org USAMTS homepage]. | ||
− | * The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. | + | * [http://www.albany.edu/ialexandrova/HS.html Ivana Alexandrova's Weekly Math Problems for High School Students] contains good problems that will make you think and that will teach you new skills and material |
+ | * The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [https://mks.mff.cuni.cz/kalva/ this page]) | ||
* Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage]. | * Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [http://www.uccs.edu/%7Easoifer/olympiad.html CMO homepage]. | ||
* Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here] | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [http://www.cms.math.ca/Competitions/IMTS/ here] | ||
* [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/] Is similar to above | + | *[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] | ||
* 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:// | + | * The [http://www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [https://mks.mff.cuni.cz/kalva/ here].) |
* [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions. | * [http://www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions. | ||
* [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society]. | * [[Canadian Mathematical Olympiad]] are hosted [http://www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society]. | ||
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== Articles == | == Articles == | ||
− | * [ | + | * [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons and Math Competitions] by [[Richard Rusczyk]]. |
− | * [ | + | * [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. |
− | * [ | + | * [https://artofproblemsolving.com/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]]. |
− | * [ | + | * [https://artofproblemsolving.com/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]]. |
− | * [ | + | * [https://artofproblemsolving.com/news/articles/learning-through-teaching Learning Through Teaching] |
− | * [ | + | * [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] | ||
− | *Do you still have trouble deciding which course?[http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!] | + | *Do you still have trouble deciding which course? [http://www.artofproblemsolving.com/Store/personalrec.php Ask for personal recommendations!] |
===AMC 8 Preparation=== | ===AMC 8 Preparation=== | ||
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[http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section] | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10 Problems in the Resources Section] | ||
− | [http://www.artofproblemsolving.com/ | + | [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/ | + | [http://www.artofproblemsolving.com/wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki] |
− | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/wiki/index.php/AMC_12_Problems_and_Solutions AMC 12 Problems in the AoPS Wiki] |
===AIME Preparation=== | ===AIME Preparation=== | ||
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[http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki] | [http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki] | ||
+ | |||
+ | '''[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]''' | ||
===Beginning Olympiad Preparation=== | ===Beginning Olympiad Preparation=== | ||
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=480253 General] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=481746&p=2698978 General] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401061&hilit=preparation How to Prepare for USAJMO?] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=399023&hilit=preparation USAMO preparation/doing problems] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=396736&hilit=preparation Easier Olympiads for USAJMO practice?] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=366383&hilit=preparation For the USAMO: ACoPS or Engel?] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=360619&hilit=preparation Olympiad problems- how to prepare] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=354103&hilit=preparation USAMO/Olympiads Preparation: Where to start?] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=preparation USAJMO prep] |
+ | |||
====Bunch of General links==== | ====Bunch of General links==== | ||
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=31888&hilit=USAMO+prep USAMO Prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=71008&hilit=USAMO+prep USAMO Prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=79077&hilit=USAMO+prep USAMO] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=81296&hilit=USAMO+prep Usamo prep ] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=143168&hilit=USAMO+prep USAMO Prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=273572&hilit=USAMO+prep Counting down to USAMO] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=294132&hilit=USAMO+prep USAMO Preparation] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=344929&hilit=olympiad+prep USAJMO prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385092&hilit=USAMO+prep USAMO Preparation] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=397424&hilit=olympiad+prep USAJMO Prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401201&hilit=USAMO+prep How to prepare for the USAMO/Making Red MOP] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=401640&hilit=USAMO+prep Preparing in a hardcore way] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=406402&hilit=USAMO+prep USAMO and JMO prep] |
− | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep USAMO PREP] | |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=411476&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep Beginner to USAMO] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=419800&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454 What should I be doing?] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=447454] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep Improve to USAMO and IMO level] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=453638&hilit=USAMO+prep] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep Prep for USA(J)MO] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=474960&hilit=USAMO+prep] | + | * '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654 contest math stuff/some advice on how to get good]''' |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=385654] | + | * [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845 Olympiad Prep] |
− | [http://www.artofproblemsolving.com/Forum/viewtopic.php?f=133&t=420845] | + | * '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622 Olympiad Prep]''' |
− | '''[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2379622#p2379622]''' | + | * '''[http://www.artofproblemsolving.com/community/c5h619416p3697136 USAJMO Prep]''' |
+ | * '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]''' | ||
+ | * '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]''' | ||
====Problems==== | ====Problems==== | ||
− | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section] | + | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=176 USAJMO Problems in the Resources Section] |
− | [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki] | + | * [http://www.artofproblemsolving.com/Wiki/index.php/USAJMO_Problems_and_Solutions USAJMO Problems in the AoPS Wiki] |
− | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] | + | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] |
− | [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | + | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] |
===Middle/Advanced Olympiad Preparation=== | ===Middle/Advanced Olympiad Preparation=== | ||
====Problems==== | ====Problems==== | ||
− | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1] | + | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38803 Practice Olympiad 1] |
− | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2] | + | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38804 Practice Olympiad 2] |
− | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3] | + | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38805 Practice Olympiad 3] |
− | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions] | + | * [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions] |
− | [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] | + | * [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO Problems in the Resources Section] |
− | [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | + | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] |
− | [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section] | + | * [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO Problems in the Resources Section] |
− | [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki] | + | * [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki] |
− | |||
===Book Links:=== | ===Book Links:=== | ||
====Olympiad Level==== | ====Olympiad Level==== | ||
=====Free===== | =====Free===== | ||
− | [ | + | * [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:// | ||
− | |||
− | |||
=====Not Free===== | =====Not Free===== | ||
− | [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems] | + | * [http://www.amazon.com/Plane-Euclidean-Geometry-Theory-Problems/dp/0953682366/ref=sr_1_1?s=books&ie=UTF8&qid=1338742080&sr=1-1 Plane Euclidean Geometry: Theory and Problems] |
− | [http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry] | + | *[https://www.amazon.com/dp/0883858398/ref=cm_sw_r_cp_awdb_t1_WTaBCbBFKWMPK Euclidean Geometry in Mathematical Olympiads] |
− | [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers] | + | *[http://www.amazon.com/Complex-Geometry-Mathematical-Association-Textbooks/dp/0883855100/ref=sr_1_1?s=books&ie=UTF8&qid=1338742131&sr=1-1 Complex Numbers and Geometry] |
− | [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z] | + | * [http://www.amazon.com/Geometry-Complex-Numbers-Dover-Mathematics/dp/0486638308/ref=sr_1_1?s=books&ie=UTF8&qid=1338742156&sr=1-1 Geometry of Complex Numbers] |
− | [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team] | + | * [http://www.amazon.com/Complex-Numbers-Z-Titu-Andreescu/dp/0817643265/ref=sr_1_1?s=books&ie=UTF8&qid=1338741912&sr=1-1 Complex Numbers from A to …Z] |
− | [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach] | + | * [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=sr_1_1?s=books&ie=UTF8&qid=1338742048&sr=1-1 103 Trigonometry Problems: From the Training of the USA IMO Team] |
− | [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities] | + | * [http://www.amazon.com/An-Introduction-Diophantine-Equations-Problem-Based/dp/0817645489/ref=sr_1_1?ie=UTF8&qid=1338741533&sr=8-1 An Introduction to Diophantine Equations: A Problem-Based Approach] |
− | [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team] | + | * [http://www.amazon.com/Introductions-Number-Theory-Inequalities-Bradley/dp/0953682382/ref=sr_1_1?s=books&ie=UTF8&qid=1338741653&sr=1-1 Introductions to Number Theory and Inequalities] |
− | [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems] | + | * [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=sr_1_1?s=books&ie=UTF8&qid=1338741697&sr=1-1 104 Number Theory Problems: From the Training of the USA IMO Team] |
− | [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] | + | * [http://www.amazon.com/102-Combinatorial-Problems-Titu-Andreescu/dp/0817643176/ref=sr_1_1?s=books&ie=UTF8&qid=1338741741&sr=1-1 102 Combinatorial Problems] |
− | [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions] | + | * [http://www.amazon.com/Path-Combinatorics-Undergraduates-Counting-Strategies/dp/8181283368/ref=sr_1_2?s=books&ie=UTF8&qid=1338741874&sr=1-2 A Path to Combinatorics for Undergraduates: Counting Strategies] |
− | [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving] | + | * [http://www.amazon.com/Mathematical-Olympiads-1972-1986-Problems-Solutions/dp/0883856344/ref=sr_1_fkmr1_1?s=books&ie=UTF8&qid=1338742228&sr=1-1 -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions] |
− | [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies] | + | * [http://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=art+and+craft+of+problem+solving Art and Craft of Problem Solving] |
+ | * [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=sr_1_1?ie=UTF8&qid=1338865322&sr=8-1 Problem Solving Strategies] | ||
===Problem Sets=== | ===Problem Sets=== | ||
+ | * [https://drive.google.com/file/d/0B3gLVLnxtyRvS05vQ0N6aEVqSGs/view?usp=sharing Practice problems from around the world] | ||
+ | * [https://drive.google.com/file/d/0B3gLVLnxtyRvQkkwS0xsVVZ3Z1E/view?usp=sharing General problems in Olympiad Mathematics] | ||
* [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method] | * [http://cdn.artofproblemsolving.com/aops20/attachments/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method] | ||
* [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities] | * [http://cdn.artofproblemsolving.com/aops20/attachments/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities] | ||
Line 243: | Line 253: | ||
* [[Science competitions]] | * [[Science competitions]] | ||
* [[Informatics competitions]] | * [[Informatics competitions]] | ||
+ | * [http://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F How should I prepare] |
Revision as of 15:46, 3 October 2019
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.
Contents
- 1 Math Competition Classes
- 2 Math Competition Problems
- 3 Articles
- 4 A Huge List of Links
- 5 See also
Math Competition Classes
- Art of Problem Solving hosts classes that are popular among many of the highest performing students in the United States. AoPS Problem Series.
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.
- 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 here.
- MOEMS books are available here at AoPS.
- MATHCOUNTS books are available here at AoPS.
- AMC books are available here at AoPS.
- Mandelbrot Competition books are available here at AoPS.
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
- Mu Alpha Theta.org hosts past contest problems.
- Noetic Learning Challenge Math - Problem Solving for the Gifted Elementary Students .
- Elias Saab's MathCounts Drills page.
- Alabama Statewide High School Mathematics Contest homepage.
- The South African Mathematics Olympiad here includes many years of past problems with solutions.
- Beestar.org - Weekly problem solving challenges and honor roll ranking, Grade 1 - 8
Intermediate Problem Solvers
- AoPS math contest problems and solutions
- Past USAMTS problems can be found at the USAMTS homepage.
- 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 Kalva site is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at this page)
- Past Colorado Mathematical Olympiad (CMO) problems can be found at the CMO homepage.
- Past International Mathematical Talent Search (IMTS) problems can be found here
- Brilliant is a website where one can solve problems to gain points and go to higher levels.
- Clevermath Is similar to above
Olympiad Problem Solvers
- AoPS math contest problems and solutions
- Past USAMTS problems can be found at the USAMTS homepage.
- The Kalva site is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g here.)
- Nick's Mathematical Puzzles -- Challenging problems with hints and solutions.
- Canadian Mathematical Olympiad are hosted here by the Canadian Mathematical Society.
- 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 here
- Olympiad Math Madness - Stacks of challenging problems, no solutions. [Site no longer exists. Site has been replaced by a web capture]
Articles
- Pros and Cons and Math Competitions by Richard Rusczyk.
- Establishing a Positive Culture of Expectation in Math Education by Sister Scholastica Award winner Darryl Hill.
- Stop Making Stupid Mistakes by Richard Rusczyk.
- What Questions Really Are the Stupid Questions? by Richard Rusczyk.
- Learning Through Teaching
- How to Write a Math Solution by Richard Rusczyk and Mathew Crawford.
- Inequalities by Dr. Kiran Kedlaya
- Olympiad Inequalities by Thomas J. Mildorf
- Olympiad Number Theory: An Abstract Perspective by Thomas J. Mildorf
- Number Theory by Naoki Sato
- Olympiad Number Theory Through Challenging Problems by Justin Stevens
- Barycentric Coordinates in Olympiad Geometry by Max Schindler and Evan Chen
- Lifting the Exponent (LTE) by Amir Hossein Parvardi
- The uvw Method by Mathias Bæk Tejs Knudsen
- The Chinese Remainder Theorem by Evan Chen
- Contest Reflections by Wanlin Li
A Huge List of Links
AoPS Course Recommendations
- Art of Problem Solving Course Recommendations
- Do you still have trouble deciding which course? Ask for personal 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
AIME/AMC 10 Overlap and Preparation
How to prepare for amc10 and aime?
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
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
- General
- General
- How to Prepare for USAJMO?
- USAMO preparation/doing problems
- Easier Olympiads for USAJMO practice?
- For the USAMO: ACoPS or Engel?
- Olympiad problems- how to prepare
- USAMO/Olympiads Preparation: Where to start?
- USAJMO prep
Bunch of General links
- USAMO Prep
- USAMO Prep
- USAMO
- Usamo prep
- USAMO Prep
- Counting down to USAMO
- USAMO Preparation
- USAJMO prep
- USAMO Preparation
- USAJMO Prep
- How to prepare for the USAMO/Making Red MOP
- Preparing in a hardcore way
- USAMO and JMO prep
- USAMO PREP
- Beginner to USAMO
- What should I be doing?
- Improve to USAMO and IMO level
- Prep for USA(J)MO
- contest math stuff/some advice on how to get good
- Olympiad Prep
- Olympiad Prep
- USAJMO Prep
- The Right Training
- What Leads to Success
Problems
- USAJMO Problems in the Resources Section
- USAJMO Problems in the AoPS Wiki
- USAMO Problems in the Resources Section
- USAMO Problems in the AoPS Wiki
Middle/Advanced Olympiad Preparation
Problems
- Practice Olympiad 1
- Practice Olympiad 2
- Practice Olympiad 3
- Practice Olympiad Solutions
- USAMO Problems in the Resources Section
- USAMO Problems in the AoPS Wiki
- IMO Problems in the Resources Section
- IMO Problems in the AoPS Wiki
Book Links:
Olympiad Level
Free
Not Free
- Plane Euclidean Geometry: Theory and Problems
- Euclidean Geometry in Mathematical Olympiads
- Complex Numbers and Geometry
- Geometry of Complex Numbers
- Complex Numbers from A to …Z
- 103 Trigonometry Problems: From the Training of the USA IMO Team
- An Introduction to Diophantine Equations: A Problem-Based Approach
- Introductions to Number Theory and Inequalities
- 104 Number Theory Problems: From the Training of the USA IMO Team
- 102 Combinatorial Problems
- A Path to Combinatorics for Undergraduates: Counting Strategies
- -fkmr1 USA Mathematical Olympiads 1972-1986 Problems and Solutions
- Art and Craft of Problem Solving
- Problem Solving Strategies
Problem Sets
- Practice problems from around the world
- General problems in Olympiad Mathematics
- 31 Olympiad problems about Probabilistic Method
- 567 Nice and Hard Inequalities
- Inequalities
- 100 Polynomial Problems
- Trigonometry Problems
- General all levels
- Number Theory
- Olympiad Problems
- 33 Functional Equations
- Induction Problems
- Induction Solutions
- 260 Geometry Problems
- 150 Geometry Problems
- 50 Diophantine Equation Problems
- 60 Geometry Problems
- 116 Problems
- Algebraic Inequalities
- 100 Combinatorics Problems
- 100 Problems
- Number Theory
- Geometry
- General
- 100 Number Theory Problems
- 100 Functional Equation Problems
- Beginning/Intermediate Counting and Probability
- 40 Functional Equations
- 100 Geometric Inequalities
- 10 Fun Unconventional Problems :)
- 169 Functional Equations
- Triangle Geometry
- Probability
- Algebra
- Number Theory
- Circle Geometry
- Other Geometry
Ranking of all Olympiads (Difficulty Level)