Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Difference between revisions of "Resources for mathematics competitions"
m (→‎Math Competition Problems)
 
(198 intermediate revisions by 78 users not shown)
Line 1: Line 1:
−
The [[Art of Problem Solving]] hosts this [[AoPSWiki]] as well as many other online resources for students interested in [[mathematics competitions]].
+
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.
  
 
* [[Math books]]
 
* [[Math books]]
 
* [[Mathematics forums]]
 
* [[Mathematics forums]]
−
* [[Mathematics news]]
 
 
* [[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]
 +
 +
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].
 +
 +
* [[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 ==
 +
=== 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 [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]].
 +
* [[MATHCOUNTS]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 +
* [[AMC]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 +
* [[Mandelbrot Competition]] books are available [https://www.artofproblemsolving.com/store/list/other-products here] at [[AoPS]].
 +
 +
=== 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 examples:
 +
==== Introductory Problem Solvers ====
 +
* [[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  .
 +
* [[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].
 +
* [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].
 +
* The [[South African Mathematics Olympiad]] ([http://www.samf.ac.za/QuestionPapers.aspx see here]) includes many years of past problems with solutions.
 +
 +
==== Intermediate Problem Solvers ====
 +
* [[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].
 +
* [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 [[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://www.clevermath.org/ Clevermath] Is similar to above
 +
 +
==== Olympiad Problem Solvers ====
 +
* [[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].
 +
* 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.
 +
* [[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]
 +
* 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 this web capture]
 +
 +
== Articles ==
 +
* [https://thepuzzlr.com/math-kangaroo-time-management Time Management]
 +
* [https://artofproblemsolving.com/news/articles/pros-cons-math-competitions Pros and Cons of 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 ==
 +
=== AoPS Course Recommendations ===
 +
*[http://www.artofproblemsolving.com/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!
 +
 +
===AMC 8 Preparation===
 +
 +
====Problems====
 +
[https://artofproblemsolving.com/community/c3413_amc_8 AMC 8 Problems in the Resources Section]
 +
 +
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===
 +
 +
[http://www.artofproblemsolving.com/community/c5h388108 How preparing for the AIME will help AMC 10/12 Score]
 +
 +
[http://www.artofproblemsolving.com/community/c5h396741 What class to take?]
 +
 +
[http://www.artofproblemsolving.com/community/c5h387918 AMC 10 for AMC 12 practice]
 +
 +
[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====
 +
 +
[https://artofproblemsolving.com/community/c3414_amc_10 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/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===
 +
[http://www.artofproblemsolving.com/community/c5h397954 Studying to qualify for USAMO]
 +
 +
[http://www.artofproblemsolving.com/community/c5h400442 How to prepare for the AIME]
 +
 +
[http://www.artofproblemsolving.com/community/c5h399160 Preparation for the AIME]
 +
 +
[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====
 +
 +
[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]
 +
 +
'''[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]'''
 +
 +
===Beginning Olympiad Preparation===
 +
* [http://www.artofproblemsolving.com/community/c5h480253 General]
 +
* [http://www.artofproblemsolving.com/community/c5h481746 General]
 +
* [http://www.artofproblemsolving.com/community/c5h401061 How to Prepare for USAJMO?]
 +
* [http://www.artofproblemsolving.com/community/c5h399023 USAMO preparation/doing problems]
 +
* [http://www.artofproblemsolving.com/community/c5h396736 Easier Olympiads for USAJMO practice?]
 +
* [http://www.artofproblemsolving.com/community/c5h366383 For the USAMO: ACoPS or Engel?]
 +
* [http://www.artofproblemsolving.com/community/c5h360619 Olympiad problems- how to prepare]
 +
* [http://www.artofproblemsolving.com/community/c5h354103 USAMO/Olympiads Preparation: Where to start?]
 +
* [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep]
 +
 +
====Bunch of General links====
 +
* [http://www.artofproblemsolving.com/community/c5h31888 USAMO Prep]
 +
* [http://www.artofproblemsolving.com/community/c5h71008 USAMO Prep]
 +
* [http://www.artofproblemsolving.com/community/c5h79077 USAMO]
 +
* [http://www.artofproblemsolving.com/community/c5h81296 Usamo prep ]
 +
* [http://www.artofproblemsolving.com/community/c5h143168 USAMO Prep]
 +
* [http://www.artofproblemsolving.com/community/c5h273572 Counting down to USAMO]
 +
* [http://www.artofproblemsolving.com/community/c5h294132 USAMO Preparation]
 +
* [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep]
 +
* [http://www.artofproblemsolving.com/community/c5h385092 USAMO Preparation]
 +
* [http://www.artofproblemsolving.com/community/c5h397424 USAJMO Prep]
 +
* [http://www.artofproblemsolving.com/community/c5h401201 How to prepare for the USAMO/Making Red MOP]
 +
* [http://www.artofproblemsolving.com/community/c5h401640 Preparing in a hardcore way]
 +
* [http://www.artofproblemsolving.com/community/c5h406402 USAMO and JMO prep]
 +
* [http://www.artofproblemsolving.com/community/c5h411476 USAMO PREP]
 +
* [http://www.artofproblemsolving.com/community/c5h419800 Beginner to USAMO]
 +
* [http://www.artofproblemsolving.com/community/c5h447454 What should I be doing?]
 +
* [http://www.artofproblemsolving.com/community/c5h453638 Improve to USAMO and IMO level]
 +
* [http://www.artofproblemsolving.com/community/c5h474960 Prep for USA(J)MO]
 +
* '''[http://www.artofproblemsolving.com/community/c5h385654 contest math stuff/some advice on how to get good]'''
 +
* [http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]
 +
* '''[http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]'''
 +
* '''[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====
 +
* [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]
 +
* [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]
 +
 +
===Middle/Advanced Olympiad Preparation===
 +
 +
====Problems====
 +
* [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=38805 Practice Olympiad 3]
 +
* [http://www.artofproblemsolving.com/Forum/download/file.php?id=38806 Practice Olympiad Solutions]
 +
* [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]
 +
* [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]
  
 
== See also ==
 
== See also ==
  
 
* [[List of mathematics competitions]]
 
* [[List of mathematics competitions]]
 +
* [[Mathematics scholarships]]
 +
* [[Science 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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Resources_for_mathematics_competitions&oldid=223186"