Difference between revisions of "Resources for mathematics competitions"
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===Problem Sets=== | ===Problem Sets=== | ||
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/probability_problems_306.pdf 31 Olympiad problems about Probabilistic Method] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_e31f7415b8debe259534f245ab6f402c 567 Nice and Hard Inequalities] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/78444_44261211c725bfc07fe3a40698ce18b0 Inequalities] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_e3aaee2729d3d97d945b66e06971e5bc 100 Polynomial Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_afdd8bf4469c8aa0dd12406f9d246da1 Trigonometry Problems] |
| − | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/82357_cfd6bc6cd06884730701121c0146d455 General all levels] | |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/85314_e1e907a6c92d64bea241ed35b6414d3a Number Theory] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/78444_c808a31bb53413a4d4c90426d66df645 Olympiad Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/110524_b361f5fe3bb9b43c6d8a1b516e200bc6 33 Functional Equations] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/114639_fbc5d584d5949657f5b7db35d2548f4b Induction Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/114639_c6b98fb00f3baca6fefb3978db3dda1d Induction Solutions] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/369_675af9219c63516a024366c1d8d28251 260 Geometry Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_4872d512bdc737f3379ad265e17340d1 150 Geometry Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_65dac7d2c6936fe666a991407da6cbeb 50 Diophantine Equation Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_d8b71468d1bc454fb4ca732ed7950e19 60 Geometry Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/62273_8f432f52f6a8b50ffab885999aacb652 116 Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/47577_3609b09820bce0490302aca817405696 Algebraic Inequalities] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_f6f1d08183b32b889ee7d4315ef6f620 100 Combinatorics Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_55fffd4049ab2308ae770a143f03d7c1 100 Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/16383_6600f91864a38bc31764efe5d8b69475 Number Theory] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/97235_946d6121c243f09232ea6c390236abfd Geometry] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/97235_fd4595a2f0efac349561fae52fa49c2b General] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_f0a58877b5326ff79aca7f091559d4e4 100 Number Theory Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/67223_cc845a4f181a71ab84cf7af38b79018c 100 Functional Equation Problems] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/110524_4dfa3fbf02e9fd55fcfa3ece6a1a1835 Beginning/Intermediate Counting and Probability] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/82334_ea1bd0c9afa7d8b36d4b7c9e53048d37 40 Functional Equations] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/91148_d2614226d17974c7cae22fd6819e6a35 100 Geometric Inequalities] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/139996_1ce94c21ab568094858ede6bdfbec235 10 Fun Unconventional Problems :)] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/118_a49397fc1e83d0931c0e72c9139d5a29 169 Functional Equations] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_6df2379fee465fac760b788106151ed8 Triangle Geometry] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_a090e8492fc3b5e6c9f4ef72e8c25f53 Probability] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_3b10e491c0ba9d6421f55aab84c24632 Algebra] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_cc6e30d39d41a700d293c1c36869ca6f Number Theory] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_c06dc3f7dddb7efe22b5f9c0db0d3a49 Circle Geometry] |
| − | [ | + | * [https://s3.amazonaws.com/aops-cdn.aops.com/attachments/20/113521_a7c63b4b9529686a56abe8298ed1eaa4 Other Geometry] |
| − | [ | ||
'''[http://www.artofproblemsolving.com/Wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]''' | '''[http://www.artofproblemsolving.com/Wiki/index.php/AoPSWiki:Competition_ratings Ranking of all Olympiads (Difficulty Level)]''' | ||
Revision as of 12:12, 29 June 2015
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.
- EPGY hosts classes for AMC students.
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.
- Putnam 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 exmaples:
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 - Beestar weekly problem solving tests for grade 1 - 8
Intermediate 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.
- 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.
- [1] 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.
- Stupid Questions by Richard Rusczyk.
- Learning Through Teaching
- How to Write a Solution by Richard Rusczyk and Mathew Crawford.
A Huge List of Links
AoPS Course Recommendations
Art of Problem Solving Course Recommendations Still have trouble deciding which course? Ask for personal recommendations.
AMC 8 Preparation
Problems
AMC 8 Problems in the Resources Section 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
Problems
AIME Problems in the Resources Section AIME Problems in the AoPS Wiki
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
[2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23]
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
Plane Geometry Hidden Discoveries -- How To Infinity Number Theory Diophantine Number Theory More Diophantine Number Theory
Not Free
Plane Euclidean Geometry: Theory and Problems 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
- 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)
