Difference between revisions of "Resources for mathematics competitions"
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| − | The [[Art of Problem Solving]] hosts this [[ | + | The [[Art of Problem Solving]] hosts this [[AoPS Wiki]] as well as many other online resources for students interested in [[mathematics competitions]]. Look around the 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. |
* [[Math books]] | * [[Math books]] | ||
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== Free Math Books == | == Free Math Books == | ||
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| − | Ritvik Rustagi's [ | + | * CompetifyHub's Problem Sets [//competifyhub.com/resources/ Free Competition Resources for Grades 1-12] |
| − | + | * Ritvik Rustagi's [//www.tmasacademy.com/ace-the-amc10-12-free-book ACE The AMC 10 and 12 book] | |
| − | + | * [//www.omegalearn.org/mastering-amc8 Mastering AMC 8] | |
| − | + | * [//www.omegalearn.org/mastering-amc1012 Mastering AMC 10/12] | |
| − | Mastering AMC | + | * [//www.omegalearn.org/thebookofformulas The Book of Formulas] |
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== Free Math Courses == | == Free Math Courses == | ||
| − | + | * [//math.llmlab.io/courses AMC 8/10/12 Course] | |
| − | + | * [//math.llmlab.io/alcumus AMC 8/10/12 Practice] | |
| − | AMC 8/10/12 | + | * [//www.omegalearn.org/amc8-fundamentals AMC 8 Fundamentals Course] |
| − | + | * [//www.omegalearn.org/amc8-advanced AMC 8 Advanced/MATHCOUNTS] | |
| − | AMC 8 | + | * [//www.omegalearn.org/amc10-12 AMC 10/12 Fundamentals] |
| − | + | * [//thepuzzlr.com/math-courses Introduction To Number Theory] | |
| − | AMC 8 | + | * [//thepuzzlr.com/courses/amc-8-bootcamp AMC 8 Bootcamp covering all the essential concepts] |
| − | + | * [//thepuzzlr.com/courses/amc-10-crash-course AMC 10 Course] | |
| − | AMC | + | * [//www.youtube.com/watch?v=bIipw2XSMgU Free MOEMS Course] |
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| − | + | == List of Resources == | |
| − | All AMC | + | * [//thepuzzlr.com/courses/amc-8-bootcamp All AMC 8 essentials] |
| + | * [//thepuzzlr.com/courses/amc-10-crash-course All AMC 10 essentials] | ||
| + | * A list of [{{SERVER}}/community/c1967976h2550333 handouts] (Here's [{{SERVER}}/community/c5h1578191p15903900 another]) | ||
== Math Competition Classes == | == Math Competition Classes == | ||
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| − | * [[AMC Academy]] hosts private AMC10/12 and AIME Classes taught by USAMO Qualifiers from UCBerkeley, UofToronto, and many more. [ | + | * [[Art of Problem Solving]] hosts classes that are popular among many of the highest performing students in the United States. [{{SERVER}}/Classes/AoPS_C_PSeries.php AoPS Problem Series]. |
| + | * [[AMC Academy]] hosts private AMC10/12 and AIME Classes taught by USAMO Qualifiers from UCBerkeley, UofToronto, and many more. [//www.amcacademy.ca AMC Academy Info Link]. | ||
== Math Competition Problems == | == Math Competition Problems == | ||
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=== Problem Books === | === Problem Books === | ||
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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 [ | + | * [[ARML]] has four problem books covering most ARML as well as some [[NYSML]] competitions. However, they are generally difficult to find. Some can be ordered [//www.arml2.com/arml_2018/page/index.php?page_type=public&page=books here]. |
| − | * [[MOEMS]] books are available [ | + | * [[MOEMS]] books are available [{{SERVER}}/store/list/other-products here] at [[AoPS]]. |
| − | * [[MATHCOUNTS]] books are available [ | + | * [[MATHCOUNTS]] books are available [{{SERVER}}/store/list/other-products here] at [[AoPS]]. |
| − | * [[AMC]] books are available [ | + | * [[AMC]] books are available [{{SERVER}}/store/list/other-products here] at [[AoPS]]. |
| − | * [[Mandelbrot Competition]] books are available [ | + | * [[Mandelbrot Competition]] books are available [{{SERVER}}/store/list/other-products here] at [[AoPS]]. |
=== Problems Online === | === Problems Online === | ||
| − | [[Art of Problem Solving]] maintains a very large database of [ | + | [[Art of Problem Solving]] maintains a very large database of [{{SERVER}}/resources math contest problems]. Many math contest websites include archives of past problems. The [[List of mathematics competitions]] leads to links for many of these competition homepages. Here are a few examples: |
| − | ==== Introductory | + | ==== Introductory ==== |
| − | * [ | + | * [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources for students grades 1-4 |
| − | * [[Mu Alpha Theta]].org hosts past [ | + | * [[Mu Alpha Theta]].org and [//math.llmlab.io/ Math.llmlab.io] hosts past [//www.mualphatheta.org/index.php?chapters/national-convention/past-tests contest problems]. |
| − | * Noetic Learning [ | + | * Noetic Learning [//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. | * [[Beestar]].org - 1st to 8th grades Weekly problem solving challenges and honor roll ranking. | ||
| − | * [ | + | * [//www.youtube.com/watch?v=1EpNaRaQnVM Introduction to MathCounts] video. |
| − | * Elias Saab's [[MathCounts]] [ | + | * Elias Saab's [[MathCounts]] [//mathcounts.saab.org/ Drills page]. |
| − | * [ | + | * [//mathteamnyc.weebly.com/mathcounts.html List of all MathCounts competitions from 2000 to 2017]. |
| − | * [[Alabama Statewide High School Mathematics Contest]] [ | + | * [[Alabama Statewide High School Mathematics Contest]] [//mcis.jsu.edu/mathcontest/ homepage]. |
| − | * The [[South African Mathematics Olympiad]] ([ | + | * The [[South African Mathematics Olympiad]] ([//www.samf.ac.za/QuestionPapers.aspx see here]) includes many years of past problems with solutions. |
| − | ==== Intermediate | + | ==== Intermediate ==== |
| − | * [ | + | * [//competifyhub.com/resources CompetifyHub] has Free Competition Math resources for students grades 5-8 and 9-12 |
| − | * [[AoPS]] [ | + | * [[AoPS]] [{{SERVER}}/resources math contest problems and solutions] |
| − | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [ | + | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [//usamts.org USAMTS homepage]. |
| − | * [ | + | * [//www.albany.edu/ialexandrova/HS.html Ivana Alexandrova's Weekly Math Problems for High School Students] contains good problems that will make you think and that will teach you new skills and material |
| − | * The [ | + | * The [//www.kalva.demon.co.uk Kalva site] is one of the best resources for math problems on the planet. (Currently offline. Mirror can be found at [//mks.mff.cuni.cz/kalva/ this page]) |
| − | * Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [ | + | * Past [[Colorado Mathematical Olympiad]] (CMO) problems can be found at the [//www.uccs.edu/%7Easoifer/olympiad.html CMO homepage]. |
| − | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [ | + | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [//www.cms.math.ca/Competitions/IMTS/ here] |
| − | * [ | + | * [//brilliant.org Brilliant] is a website where one can solve problems to gain points and go to higher levels. |
| − | *[ | + | *[//www.clevermath.org Clevermath] Is similar to above |
| − | ==== Olympiad | + | ==== Olympiad ==== |
| − | * [ | + | * [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources for students grades 9-12 |
| − | * [[AoPS]] [ | + | * [[AoPS]] [{{SERVER}}/resources math contest problems and solutions] |
| − | * [ | + | * [//mathcsr.org Math and CS Research] is a math and computer science publication with articles and problem sets on a wide range of topics. |
| − | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [ | + | * Past [[United States of America Mathematical Talent Search | USAMTS]] problems can be found at the [//usamts.org USAMTS homepage]. |
| − | * The [ | + | * The [//www.kalva.demon.co.uk/ Kalva site] is one of the best resources for math problems on the planet. (Currently offline - but a few mirrors are available, e.g [//mks.mff.cuni.cz/kalva/ here].) |
| − | * [ | + | * [//www.qbyte.org/puzzles/ Nick's Mathematical Puzzles] -- Challenging problems with hints and solutions. |
| − | * [[Canadian Mathematical Olympiad]] are hosted [ | + | * [[Canadian Mathematical Olympiad]] are hosted [//www.cms.math.ca/Competitions/CMO/ here by the Canadian Mathematical Society]. |
| − | * [ | + | * [//web.archive.org/web/20120825124642/http://pertselv.tripod.com/RusMath.html Problems of the All-Soviet-Union math competitions 1961-1986] - Many problems, no solutions. [Site no longer exists. Site has been replaced by a web capture] |
| − | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [ | + | * Past [[International Mathematical Talent Search]] (IMTS) problems can be found [//www.cms.math.ca/Competitions/IMTS/ here] |
| − | * [ | + | * [//web.archive.org/web/20091027032345/http://geocities.com/CapeCanaveral/Lab/4661/ Olympiad Math Madness] - Stacks of challenging problems, no solutions. [Site no longer exists and has been replaced by this web capture] |
== Articles == | == Articles == | ||
| − | * [ | + | |
| − | * [ | + | * [//thepuzzlr.com/math-kangaroo-time-management Time Management] |
| − | * [ | + | * [{{SERVER}}/news/articles/pros-cons-math-competitions Pros and Cons of Math Competitions] by [[Richard Rusczyk]]. |
| − | * [ | + | * [{{SERVER}}/news/articles/establishing-a-positive-culture Establishing a Positive Culture of Expectation in Math Education] by [[Sister Scholastica Award]] winner Darryl Hill. |
| − | * [ | + | * [{{SERVER}}/news/articles/stop-making-stupid-mistakes Stop Making Stupid Mistakes] by [[Richard Rusczyk]]. |
| − | * [ | + | * [{{SERVER}}/news/articles/what-are-stupid-questions What Questions Really Are the Stupid Questions?] by [[Richard Rusczyk]]. |
| − | * [ | + | * [{{SERVER}}/news/articles/learning-through-teaching Learning Through Teaching] |
| − | * [ | + | * [{{SERVER}}/news/articles/how-to-write-a-solution How to Write a Math Solution] by [[Richard Rusczyk]] and [[User:MCrawford|Mathew Crawford]]. |
| − | * [ | + | * [{{SERVER}}/articles/files/KedlayaInequalities.pdf Inequalities] by Dr. Kiran Kedlaya |
| − | * [ | + | * [{{SERVER}}/articles/files/MildorfInequalities.pdf Olympiad Inequalities] by Thomas J. Mildorf |
| − | * [ | + | * [{{SERVER}}/articles/files/MildorfNT.pdf Olympiad Number Theory: An Abstract Perspective] by Thomas J. Mildorf |
| − | * [ | + | * [{{SERVER}}/articles/files/SatoNT.pdf Number Theory] by Naoki Sato |
| − | * [ | + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/olympiad-number-theory.pdf Olympiad Number Theory Through Challenging Problems] by Justin Stevens |
| − | * [ | + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/bary.pdf Barycentric Coordinates in Olympiad Geometry] by Max Schindler and Evan Chen |
| − | * [ | + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/lifting-the-exponent.pdf Lifting the Exponent (LTE)] by Amir Hossein Parvardi |
| − | * [ | + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/uvw.pdf The uvw Method] by Mathias Bæk Tejs Knudsen |
| − | * [ | + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/crt.pdf The Chinese Remainder Theorem] by Evan Chen |
| + | * [//s3.amazonaws.com/aops-cdn.artofproblemsolving.com/resources/articles/Recollection.pdf Contest Reflections] by Wanlin Li | ||
== A Huge List of Links == | == A Huge List of Links == | ||
=== AoPS Course Recommendations === | === AoPS Course Recommendations === | ||
| − | *[ | + | * [{{SERVER}}/School/recommendations.php Art of Problem Solving Course 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! | + | ** 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! |
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| − | + | === AMC 8 Preparation === | |
| − | [ | + | ==== Problems ==== |
| + | * [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AMC 8 Prep | ||
| + | [{{SERVER}}/community/c3413 AMC 8 Problems in the Resources Section] | ||
| − | [ | + | Problem and Solutions: [[AMC_8_Problems_and_Solutions|AMC 8 Problems in the AoPS Wiki]] |
| − | + | === AMC 10/12 Preparation === | |
| − | [ | + | * [{{SERVER}}/community/c5h388108 How preparing for the AIME will help AMC 10/12 Score] |
| + | * [{{SERVER}}/community/c5h396741 What class to take] | ||
| + | * [{{SERVER}}/community/c5h387918 AMC 10 for AMC 12 practice] | ||
| + | * [{{SERVER}}/community/c5h385418 AMC prep] | ||
| + | * [{{SERVER}}/community/c5h384828 AMC 10/12 Preparation] | ||
| + | * [{{SERVER}}/community/c5h384747 AIME/AMC 10 Overlap and Preparation] | ||
| + | * [{{SERVER}}/community/c4h378851 How to prepare for AMC 10 and AIME] | ||
| + | * [{{SERVER}}/community/c4h369849 Preparation for AMC 10] | ||
| − | + | ==== Problems ==== | |
| − | ====Problems==== | + | [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AMC 10/12 Prep |
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| − | [ | + | [{{SERVER}}/community/c3414_amc_10 AMC 10 Problems in the Resources Section] |
| − | [ | + | [[AMC 10 Problems and Solutions]] |
| − | [ | + | [{{SERVER}}/community/c3415_amc_12ahsme AMC 12 Problems in the Resources Section] |
| − | [ | + | [{{SERVER}}/wiki/index.php/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki] |
| − | [ | + | [[AMC_12_Problems_and_Solutions|AMC 12 Problems in the AoPS Wiki]] |
===AIME Preparation=== | ===AIME Preparation=== | ||
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| − | [ | + | * [{{SERVER}}/community/c5h397954 Studying to qualify for USAMO] |
| + | * [{{SERVER}}/community/c5h400442 How to prepare for the AIME] | ||
| + | * [{{SERVER}}/community/c5h399160 Preparation for the AIME] | ||
| + | * [{{SERVER}}/community/c5h357602 Using non-AIME questions to prepare for AIME] | ||
| + | * [{{SERVER}}/community/c4h355918 Best books to prepare for AIME] | ||
| + | * [{{SERVER}}/community/c5h344816 How to improve AIME score to make JMO] | ||
| + | * [{{SERVER}}/community/c5h341827 Preparation for AIME and USAMO] | ||
| + | * [//www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf BOGTRO's AIME list of topics] | ||
| − | [ | + | ==== Problems ==== |
| + | [//competifyhub.com/resources/ CompetifyHub] has Free Competition Math resources problems for AIME Prep | ||
| + | [{{SERVER}}/community/c3416 AIME Problems in the Resources Section] | ||
| − | [ | + | [[AIME Problems and Solutions]] |
| − | [ | + | '''[//drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]''' |
| − | [ | + | ===Beginning Olympiad Preparation=== |
| − | + | * [{{SERVER}}/community/c5h480253 General] | |
| − | [ | + | * [{{SERVER}}/community/c5h481746 General] |
| − | + | * [{{SERVER}}/community/c5h401061 How to Prepare for USAJMO] | |
| − | + | * [{{SERVER}}/community/c5h399023 USAMO preparation/doing problems] | |
| − | + | * [{{SERVER}}/community/c5h396736 Easier Olympiads for USAJMO practice] | |
| − | + | * [{{SERVER}}/community/c5h366383 For the USAMO: ACoPS or Engel] | |
| − | [ | + | * [{{SERVER}}/community/c5h360619 Olympiad problems- how to prepare] |
| − | [ | + | * [{{SERVER}}/community/c5h354103 USAMO/Olympiads Preparation: Where to start] |
| − | + | * [{{SERVER}}/community/c5h344929 USAJMO prep] | |
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| − | === | + | ==== General links ==== |
| − | * [ | + | * [{{SERVER}}/community/c5h31888 USAMO Prep] |
| − | * [ | + | * [{{SERVER}}/community/c5h71008 USAMO Prep] |
| − | * [ | + | * [{{SERVER}}/community/c5h79077 USAMO] |
| − | * [ | + | * [{{SERVER}}/community/c5h81296 Usamo prep ] |
| − | * [ | + | * [{{SERVER}}/community/c5h143168 USAMO Prep] |
| − | * [ | + | * [{{SERVER}}/community/c5h273572 Counting down to USAMO] |
| − | * [ | + | * [{{SERVER}}/community/c5h294132 USAMO Preparation] |
| − | * [ | + | * [{{SERVER}}/community/c5h344929 USAJMO prep] |
| − | * [ | + | * [{{SERVER}}/community/c5h385092 USAMO Preparation] |
| + | * [{{SERVER}}/community/c5h397424 USAJMO Prep] | ||
| + | * [{{SERVER}}/community/c5h401201 How to prepare for the USAMO/Making Red MOP] | ||
| + | * [{{SERVER}}/community/c5h401640 Preparing in a hardcore way] | ||
| + | * [{{SERVER}}/community/c5h406402 USAMO and JMO prep] | ||
| + | * [{{SERVER}}/community/c5h411476 USAMO PREP] | ||
| + | * [{{SERVER}}/community/c5h419800 Beginner to USAMO] | ||
| + | * [{{SERVER}}/community/c5h447454 What should I be doing] | ||
| + | * [{{SERVER}}/community/c5h453638 Improve to USAMO and IMO level] | ||
| + | * [{{SERVER}}/community/c5h474960 Prep for USA(J)MO] | ||
| + | * [{{SERVER}}/community/c5h385654 contest math stuff/some advice on how to get good] | ||
| + | * [{{SERVER}}/community/c5h420845 Olympiad Prep] | ||
| + | * [{{SERVER}}/community/c5h420845 Olympiad Prep] | ||
| + | * [{{SERVER}}/community/c5h619416 USAJMO Prep] | ||
| + | * [{{SERVER}}/community/c5h520900 The Right Training] | ||
| + | * [//usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests What Leads to Success] | ||
| − | ==== | + | ==== Problems ==== |
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| − | + | * [{{SERVER}}/community/c3420_usajmo USAJMO Problems in the Resources Section] | |
| − | * [ | + | * [[USAJMO Problems and Solutions]] |
| − | * [ | + | * [//www.usamts.org/contest/past-problems USAMTS Problems] |
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===Middle/Advanced Olympiad Preparation=== | ===Middle/Advanced Olympiad Preparation=== | ||
====Problems==== | ====Problems==== | ||
| − | * [ | + | * [{{SERVER}}/Forum/download/file.php?id=38803 Practice Olympiad 1] |
| − | * [ | + | * [{{SERVER}}/Forum/download/file.php?id=38804 Practice Olympiad 2] |
| − | * [ | + | * [{{SERVER}}/Forum/download/file.php?id=38805 Practice Olympiad 3] |
| − | * [ | + | * [{{SERVER}}/Forum/download/file.php?id=38806 Practice Olympiad Solutions] |
| − | * [ | + | * [{{SERVER}}/community/c3409_usamo USAMO Problems in the Resources Section] |
| − | * [ | + | * [[USAMO Problems and Solutions]] |
| − | * [ | + | * [{{SERVER}}/community/c3222_imo IMO Problems in the Resources Section] |
| − | * [ | + | * [[IMO Problems and Solutions]] |
| − | == See | + | == See Also == |
* [[List of mathematics competitions]] | * [[List of mathematics competitions]] | ||
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* [[Science competitions]] | * [[Science competitions]] | ||
* [[Informatics competitions]] | * [[Informatics competitions]] | ||
| − | * [ | + | * [[How should I prepare?]] |
Latest revision as of 18:41, 2 March 2025
The Art of Problem Solving hosts this AoPS Wiki as well as many other online resources for students interested in mathematics competitions. Look around the 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
Free Math Books
- CompetifyHub's Problem Sets Free Competition Resources for Grades 1-12
- Ritvik Rustagi's ACE The AMC 10 and 12 book
- Mastering AMC 8
- Mastering AMC 10/12
- The Book of Formulas
Free Math Courses
- AMC 8/10/12 Course
- AMC 8/10/12 Practice
- AMC 8 Fundamentals Course
- AMC 8 Advanced/MATHCOUNTS
- AMC 10/12 Fundamentals
- Introduction To Number Theory
- AMC 8 Bootcamp covering all the essential concepts
- AMC 10 Course
- Free MOEMS Course
List of Resources
- All AMC 8 essentials
- All AMC 10 essentials
- A list of handouts (Here's another)
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.
- AMC Academy hosts private AMC10/12 and AIME Classes taught by USAMO Qualifiers from UCBerkeley, UofToronto, and many more. AMC Academy Info Link.
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
- CompetifyHub has Free Competition Math resources for students grades 1-4
- Mu Alpha Theta.org and Math.llmlab.io hosts past contest problems.
- Noetic Learning Challenge Math - Problem Solving for the Gifted Elementary Students .
- Beestar.org - 1st to 8th grades Weekly problem solving challenges and honor roll ranking.
- Introduction to MathCounts video.
- Elias Saab's MathCounts Drills page.
- List of all MathCounts competitions from 2000 to 2017.
- Alabama Statewide High School Mathematics Contest homepage.
- The South African Mathematics Olympiad (see here) includes many years of past problems with solutions.
Intermediate
- CompetifyHub has Free Competition Math resources for students grades 5-8 and 9-12
- 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
- CompetifyHub has Free Competition Math resources for students grades 9-12
- AoPS math contest problems and solutions
- Math and CS Research is a math and computer science publication with articles and problem sets on a wide range of topics.
- 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 and has been replaced by this web capture]
Articles
- Time Management
- Pros and Cons of 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? Go to the above link and click contact us at the bottom of the Course Map section to ask for personal recommendations!
AMC 8 Preparation
Problems
- CompetifyHub has Free Competition Math resources problems for AMC 8 Prep
AMC 8 Problems in the Resources Section
Problem and Solutions: AMC 8 Problems in the AoPS Wiki
AMC 10/12 Preparation
- 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 AMC 10 and AIME
- Preparation for AMC 10
Problems
CompetifyHub has Free Competition Math resources problems for AMC 10/12 Prep
AMC 10 Problems in the Resources Section
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
Problems
CompetifyHub has Free Competition Math resources problems for AIME Prep AIME Problems in the Resources Section
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
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
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 and Solutions
- IMO Problems in the Resources Section
- IMO Problems and Solutions
