Difference between revisions of "Resources for mathematics competitions"
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====Problems==== | ====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] | |
− | + | [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/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] | ||
+ | |||
===Book Links:=== | ===Book Links:=== | ||
====Olympiad Level==== | ====Olympiad Level==== | ||
=====Free===== | =====Free===== | ||
− | + | [http://students.imsa.edu/~tliu/Math/planegeo.pdf Plane Geometry] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38802 Hidden Discoveries -- How To] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38801 Infinity] | |
+ | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38816 Number Theory] | ||
+ | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38817 Diophantine Number Theory] | ||
+ | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38818 More Diophantine Number Theory] | ||
=====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/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/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-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/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/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/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/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/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/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/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/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=== | ||
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=1068 31 Olympiad problems about Probabilistic Method] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=30721 567 Nice and Hard Inequalities] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32201 Inequalities] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32093 100 Polynomial Problems] | |
− | + | [http://http://www.artofproblemsolving.com/Forum/download/file.php?id=32270 161 Inequalities] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=31329 Trigonometry Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32212 General all levels] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32310 Number Theory] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32228 Olympiad Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33993 33 Functional Equations] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33874 Induction Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33873 Induction Solutions] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32128 260 Geometry Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=30649 150 Geometry Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=35398 50 Diophantine Equation Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=35716 60 Geometry Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33026 116 Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32361 Algebraic Inequalities] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33543 100 Combinatorics Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=30597 100 Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=32007 Number Theory] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=37234 Geometry] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=37233 General] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33551 100 Number Theory Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=33486 100 Functional Equation Problems] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=37457 Beginning/Intermediate Counting and Probability] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=37628 40 Functional Equations] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=35164 100 Geometric Inequalities] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38538 10 Fun Unconventional Problems :)] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=35831 169 Functional Equations] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38916 Triangle Geometry] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38915 Probability] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38914 Algebra] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38920 Number Theory] | |
− | + | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38918 Circle Geometry] | |
+ | [http://www.artofproblemsolving.com/Forum/download/file.php?id=38919 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 16:42, 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
[hide]- 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 161 Inequalities 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)