Difference between revisions of "Resources for mathematics competitions"
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====Problems==== | ====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] | Problem and Solutions: [http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions AMC 8 Problems in the AoPS wiki] | ||
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===AMC 10/12 Preparation=== | ===AMC 10/12 Preparation=== | ||
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h388108 How preparing for the AIME will help AMC 10/12 Score] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h396741 What class to take?] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h387918 AMC 10 for AMC 12 practice] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h385418 AMC prep] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h384828 AMC 10/12 Preparation] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h384747 AIME/AMC 10 Overlap and Preparation] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c4h378851 How to prepare for amc10 and aime?] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c4h369849 Preparation for AMC 10?] |
====Problems==== | ====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] | [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/AHSME_Problems_and_Solutions AHSME (Old AMC 12) Problems in the AoPS Wiki] | ||
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===AIME Preparation=== | ===AIME Preparation=== | ||
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h397954 Studying to qualify for USAMO] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h400442 How to prepare for the AIME] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h399160 Preparation for the AIME] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h357602 Using non-AIME questions to prepare for AIME] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c4h355918 Best books to prepare for AIME?] |
| − | [http://www.artofproblemsolving.com/ | + | [http://www.artofproblemsolving.com/community/c5h344816 How to improve AIME score to make JMO?] |
| − | [http://www.artofproblemsolving.com/ | + | [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 | BOGTRO's AIME list of topics: https://www.dropbox.com/s/icds9u5yo0xypyf/AIMElist.pdf?dl=0 | ||
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====Problems==== | ====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] | [http://www.artofproblemsolving.com/Wiki/index.php/AIME_Problems_and_Solutions AIME Problems in the AoPS Wiki] | ||
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===Beginning Olympiad Preparation=== | ===Beginning Olympiad Preparation=== | ||
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h480253 General] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h481746 General] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h401061 How to Prepare for USAJMO?] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h399023 USAMO preparation/doing problems] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h396736 Easier Olympiads for USAJMO practice?] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h366383 For the USAMO: ACoPS or Engel?] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h360619 Olympiad problems- how to prepare] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h354103 USAMO/Olympiads Preparation: Where to start?] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep] |
====Bunch of General links==== | ====Bunch of General links==== | ||
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h31888 USAMO Prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h71008 USAMO Prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h79077 USAMO] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h81296 Usamo prep ] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h143168 USAMO Prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h273572 Counting down to USAMO] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h294132 USAMO Preparation] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h344929 USAJMO prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h385092 USAMO Preparation] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h397424 USAJMO Prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h401201 How to prepare for the USAMO/Making Red MOP] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h401640 Preparing in a hardcore way] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h406402 USAMO and JMO prep] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h411476 USAMO PREP] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h419800 Beginner to USAMO] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h447454 What should I be doing?] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h453638 Improve to USAMO and IMO level] |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h474960 Prep for USA(J)MO] |
| − | * '''[http://www.artofproblemsolving.com/ | + | * '''[http://www.artofproblemsolving.com/community/c5h385654 contest math stuff/some advice on how to get good]''' |
| − | * [http://www.artofproblemsolving.com/ | + | * [http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep] |
| − | * '''[http://www.artofproblemsolving.com/ | + | * '''[http://www.artofproblemsolving.com/community/c5h420845 Olympiad Prep]''' |
| − | * '''[http://www.artofproblemsolving.com/community/ | + | * '''[http://www.artofproblemsolving.com/community/c5h619416 USAJMO Prep]''' |
* '''[http://www.artofproblemsolving.com/community/c5h520900 The Right Training]''' | * '''[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]''' | * '''[https://usamo.wordpress.com/2014/07/27/what-leads-to-success-at-math-contests/ What Leads to Success]''' | ||
====Problems==== | ====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] | * [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] | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | ||
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* [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] | ||
| − | * [ | + | * [https://artofproblemsolving.com/community/c3409_usamo USAMO Problems in the Resources Section] |
* [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | * [http://www.artofproblemsolving.com/Wiki/index.php/USAMO_Problems_and_Solutions USAMO Problems in the AoPS Wiki] | ||
| − | * [ | + | * [https://artofproblemsolving.com/community/c3222_imo IMO Problems in the Resources Section] |
* [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki] | * [http://www.artofproblemsolving.com/Wiki/index.php/IMO_Problems_and_Solutions IMO Problems in the AoPS Wiki] | ||
Revision as of 15:53, 1 March 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.
Contents
- 1 Quick Start Video Introduction to the AMC
- 2 Training Websites
- 3 Free Math Books
- 4 Free Math Courses
- 5 List of Resources
- 6 Math Competition Classes
- 7 Math Competition Problems
- 8 Articles
- 9 A Huge List of Links
- 10 See also
Quick Start Video Introduction to the AMC
A quick video overview of the AMC and AIME.
Training Websites
- AMC Problem Trainer: https://amctrainer.com/play
- Trainer like MathCounts trainer and past contest taker: https://amctrainer.org/
- Problem generator and AoPS Wiki Reader: https://vqbc.github.io/trivial/
- mathRanks contests: https://mathranks.net/
- twice annual elementary/middle school contests: https://www.beestar.org/math-competition/
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 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. 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 .
- Beestar - 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 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
- 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. Site has been replaced by a 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
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
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
- 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
- Lemmas in Olympiad Geometry article
- Plane Geometry
- Evan Chen OTIS-Excerpts
- The Basics of Olympiad Number Theory
- Olympiad Number Theory Through Challenging Problems
- Modern Olympiad Number Theory
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
- Collection of Past Papers in PDF Format
- Practice problems from around the world
- General problems in Olympiad Mathematics
- Conditional Probability Problem Set
- 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)
