https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Mysmartmouth&feedformat=atomAoPS Wiki - User contributions [en]2022-08-16T06:49:46ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=Frequently_Asked_Questions&diff=26990Frequently Asked Questions2008-07-08T19:19:22Z<p>Mysmartmouth: </p>
<hr />
<div>'''Q. How do I write math formulas on the forums? How do I learn LaTeX? How do I use LaTeX on the forums? How do I typeset documents with LaTeX? I have a problem with LaTeX?'''<br />
<br />
A. To write math formulas on the forum, you must use LaTeX. The Wiki contains a a guide to [[LaTeX:About | getting started with LaTeX]] as well as a list of [[LaTeX:Help | LaTeX FAQs]].<br />
<br />
----<br />
<br />
<br />
'''Q. How do I get better at math? How should I prepare for this contest?'''<br />
<br />
A. See the Wiki article on [[ How should I prepare?]].</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Frequently_Asked_Questions&diff=26989Frequently Asked Questions2008-07-08T19:19:10Z<p>Mysmartmouth: </p>
<hr />
<div>----<br />
<br />
<br />
'''Q. How do I write math formulas on the forums? How do I learn LaTeX? How do I use LaTeX on the forums? How do I typeset documents with LaTeX? I have a problem with LaTeX?'''<br />
<br />
A. To write math formulas on the forum, you must use LaTeX. The Wiki contains a a guide to [[LaTeX:About | getting started with LaTeX]] as well as a list of [[LaTeX:Help | LaTeX FAQs]].<br />
<br />
----<br />
<br />
<br />
'''Q. How do I get better at math? How should I prepare for this contest?'''<br />
<br />
A. See the Wiki article on [[ How should I prepare?]].</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Frequently_Asked_Questions&diff=26988Frequently Asked Questions2008-07-08T19:18:48Z<p>Mysmartmouth: New page: '''Q. How do I write math formulas on the forums? How do I learn LaTeX? How do I use LaTeX on the forums? How do I typeset documents with LaTeX? I have a problem with LaTeX?''' A. To ...</p>
<hr />
<div>'''Q. How do I write math formulas on the forums? How do I learn LaTeX? How do I use LaTeX on the forums? How do I typeset documents with LaTeX? I have a problem with LaTeX?'''<br />
<br />
A. To write math formulas on the forum, you must use LaTeX. The Wiki contains a a guide to [[LaTeX:About | getting started with LaTeX]] as well as a list of [[LaTeX:Help | LaTeX FAQs]].<br />
<br />
'''Q. How do I get better at math? How should I prepare for this contest?'''<br />
<br />
A. See the Wiki article on [[ How should I prepare?]].</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26984How should I prepare?2008-07-08T13:56:15Z<p>Mysmartmouth: </p>
<hr />
<div>== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Cheat Sheets ==<br />
Many great reference guides are available for free on the internet.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/mathcountsplaybook.pdf MathCounts Playbook] is a good place to start for MathCounts-level material.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/HighSchoolPlaybook.pdf High School Playbook] goes a little more in depth, and is useful for all levels of high school mathematics.<br />
<br />
*The Mandelbrot Competition maintains a nice list of topics you need to know for high school math competitions called [http://www.mandelbrot.org/resources/forms/indivtopics.pdf All of Math in 3 Pages].<br />
<br />
== Lectures/Handouts ==<br />
If you are looking for new material to learn for harder contests, many handouts on specific topics exist. CMR has a nice [http://www.contestmath.com/lectures.html list] of handouts that are on all levels from easy AIME to hard USAMO. They also have a [http://www.contestmath.com/texts.html list of free texts] available online.<br />
<br />
== Classes ==<br />
<br />
If you are serious about improving your problem-solving skills, AoPS offers several online classes, available [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php here].<br />
<br />
[http://www.artofproblemsolving.com/Classes/AoPS_C_WOOT.php WOOT] is an online class offered by AoPS for olympiad training. It has one of the best peer groups in the country, and is a great way to prepare for the USAMO.<br />
<br />
== Summer Camps ==<br />
<br />
Summer programs are also a great way to improve problem-solving skills. Some of these include:<br />
<br />
* PROMYS<br />
* MathCamp<br />
* MathPath<br />
* AwesomeMath</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26983How should I prepare?2008-07-08T13:55:52Z<p>Mysmartmouth: /* Classes */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Cheat Sheets ==<br />
Many great reference guides are available for free on the internet.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/mathcountsplaybook.pdf MathCounts Playbook] is a good place to start for MathCounts-level material.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/HighSchoolPlaybook.pdf High School Playbook] goes a little more in depth, and is useful for all levels of high school mathematics.<br />
<br />
*The Mandelbrot Competition maintains a nice list of topics you need to know for high school math competitions called [http://www.mandelbrot.org/resources/forms/indivtopics.pdf All of Math in 3 Pages].<br />
<br />
== Lectures/Handouts ==<br />
If you are looking for new material to learn for harder contests, many handouts on specific topics exist. CMR has a nice [http://www.contestmath.com/lectures.html list] of handouts that are on all levels from easy AIME to hard USAMO. They also have a [http://www.contestmath.com/texts.html list of free texts] available online.<br />
<br />
== Classes ==<br />
<br />
If you are serious about improving your problem-solving skills, AoPS offers several online classes, available [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php here].<br />
<br />
[http://www.artofproblemsolving.com/Classes/AoPS_C_WOOT.php WOOT] is an online class offered by AoPS for olympiad training. It has one of the best peer groups in the country, and is a great way to prepare for the USAMO.<br />
<br />
== Summer Camps ==<br />
<br />
Summer programs are also a great way to improve problem-solving skills. Some of these include:<br />
<br />
* PROMYS<br />
* MathCamp<br />
* MathPath<br />
* AwesomeMath</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26982How should I prepare?2008-07-08T13:55:28Z<p>Mysmartmouth: /* Classes */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Cheat Sheets ==<br />
Many great reference guides are available for free on the internet.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/mathcountsplaybook.pdf MathCounts Playbook] is a good place to start for MathCounts-level material.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/HighSchoolPlaybook.pdf High School Playbook] goes a little more in depth, and is useful for all levels of high school mathematics.<br />
<br />
*The Mandelbrot Competition maintains a nice list of topics you need to know for high school math competitions called [http://www.mandelbrot.org/resources/forms/indivtopics.pdf All of Math in 3 Pages].<br />
<br />
== Lectures/Handouts ==<br />
If you are looking for new material to learn for harder contests, many handouts on specific topics exist. CMR has a nice [http://www.contestmath.com/lectures.html list] of handouts that are on all levels from easy AIME to hard USAMO. They also have a [http://www.contestmath.com/texts.html list of free texts] available online.<br />
<br />
== Classes ==<br />
<br />
If you are serious about improving your problem-solving skills, AoPS offers several online classes, available [http://www.artofproblemsolving.com/Classes/AoPS_C_About.php here].<br />
<br />
[http://www.artofproblemsolving.com/Classes/AoPS_C_WOOT.php WOOT] is an online class offered by AoPS for olympiad training. It has one of the best peer groups in the country, and is a great way to prepare for the USAMO.<br />
<br />
Summer programs are also a great way to improve problem-solving skills. Some of these include:<br />
<br />
* PROMYS<br />
* MathCamp<br />
* MathPath<br />
* AwesomeMath</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26981How should I prepare?2008-07-08T13:51:52Z<p>Mysmartmouth: </p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Cheat Sheets ==<br />
Many great reference guides are available for free on the internet.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/mathcountsplaybook.pdf MathCounts Playbook] is a good place to start for MathCounts-level material.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/HighSchoolPlaybook.pdf High School Playbook] goes a little more in depth, and is useful for all levels of high school mathematics.<br />
<br />
*The Mandelbrot Competition maintains a nice list of topics you need to know for high school math competitions called [http://www.mandelbrot.org/resources/forms/indivtopics.pdf All of Math in 3 Pages].<br />
<br />
== Lectures/Handouts ==<br />
If you are looking for new material to learn for harder contests, many handouts on specific topics exist. CMR has a nice [http://www.contestmath.com/lectures.html list] of handouts that are on all levels from easy AIME to hard USAMO. They also have a [http://www.contestmath.com/texts.html list of free texts] available online.<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26980How should I prepare?2008-07-08T13:48:30Z<p>Mysmartmouth: /* Handouts */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Cheat Sheets ==<br />
Many great reference guides are available for free on the internet.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/mathcountsplaybook.pdf MathCounts Playbook] is a good place to start for MathCounts-level material.<br />
<br />
* Coach Monk's [http://math.scranton.edu/monks/courses/ProblemSolving/HighSchoolPlaybook.pdf High School Playbook] goes a little more in depth, and is useful for all levels of high school mathematics.<br />
<br />
*The Mandelbrot Competition maintains a nice list of topics you need to know for high school math competitions called [http://www.mandelbrot.org/resources/forms/indivtopics.pdf All of Math in 3 Pages].<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26979How should I prepare?2008-07-08T13:42:34Z<p>Mysmartmouth: /* Forums */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>2^3</math> on the forums.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26978How should I prepare?2008-07-08T13:42:20Z<p>Mysmartmouth: /* Forums */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>\frac{2}{3}</math> on the forums.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26977How should I prepare?2008-07-08T13:42:06Z<p>Mysmartmouth: Cou</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=132 MathCounts] forum is for MathCounts-level problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=149 High School Basics] forum is a good place to find AMC-level and easy AIME-level problems.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=150 Intermediate Topics] has hard AMC-level problems, as well as all levels of AIME topics. There is not a clear line between Intermediate and High School basics, but Intermediate is generally harder.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/index.php?f=151 Pre-Olympiad] is a forum for problems just below olympiad level. Here you will find a lot of easy USAMO-level proofs, and problems as tough as the last few AIME problems.<br />
<br />
* The [http://www.artofproblemsolving.com/Forum/index.php?f=123 LaTeX] forum is a place to get help with LaTeX, which is what you use to type things like <math>\frac{2^2}{3}</math> on the forums.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26964How should I prepare?2008-07-08T04:59:38Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Art and Craft of Problem Solving] by Paul Zeitz<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* [http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b 102 Combinatorial Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng<br />
<br />
* [http://www.amazon.com/104-Number-Theory-Problems-Training/dp/0817645276/ref=pd_bxgy_b_text_b 104 Number Theory Problems] by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26963How should I prepare?2008-07-08T04:57:34Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* [http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190 Geometry Revisited] by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26962How should I prepare?2008-07-08T04:57:09Z<p>Mysmartmouth: </p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions. '''''THIS PAGE IS VERY MUCH A WORK IN PROGRESS.'''<br />
''<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26961How should I prepare?2008-07-08T04:56:37Z<p>Mysmartmouth: </p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
The forums are one of the best ways to find problems to solve, get help with problems you cannot solve, and collaborate with people of all levels and abilities. The forum is divided into many subforums for problems of different difficulties.<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26960How should I prepare?2008-07-08T04:54:09Z<p>Mysmartmouth: /* Practice Problems */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8] is a national contest for grades 8 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10] is a national contest for grades 10 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12] is a national contest for grades 12 and younger.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME] is a contest administered to those who qualify with a high score on the AMC 10/12.<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO] is a proof-based contest which must be qualified for through a combination of AMC & AIME scores.<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26959How should I prepare?2008-07-08T04:52:43Z<p>Mysmartmouth: /* Practice Problems */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* [http://www.math.ksu.edu/main/handbook/ProblemSets AMC 8]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO]<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26958How should I prepare?2008-07-08T04:51:36Z<p>Mysmartmouth: /* Practice Problems */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* AMC 8<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=43 AMC 10]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44 AMC 12]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=45 AIME]<br />
<br />
* [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27 USAMO]<br />
<br />
* [http://web.mit.edu/hmmt/www/datafiles/problems/ HMMT] is a nice contest on a hard AIME level.<br />
<br />
* [http://www.math.sc.edu/contest/problems.html USC] is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26957How should I prepare?2008-07-08T04:49:11Z<p>Mysmartmouth: /* Practice Problems */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
Here are some old contest archives that may be useful for practicing with:<br />
<br />
* AMC 8<br />
<br />
* AMC 10<br />
<br />
* AMC 12<br />
<br />
* AIME<br />
<br />
* USAMO<br />
<br />
* HMMT is a nice contest on a hard AIME level.<br />
<br />
* USC is a contest with a lot of problems based on common concepts you will see over and over.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26956How should I prepare?2008-07-08T04:46:31Z<p>Mysmartmouth: /* Introduction */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
The best way to prepare for math contests is to do lots of practice problems. There are also many books and online handouts/lectures you can use to improve your problem solving skills. Depending on your current abilities, you will want to start out with different practice problems, different books, and in different areas of the forums. This guide is intended to help you get started.<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26955How should I prepare?2008-07-08T04:44:13Z<p>Mysmartmouth: Ol</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
Old practice problems (with solutions) sorted by contest and year are available on the Wiki and the Resources section.<br />
<br />
Many practice problems are also available on the forums.<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26954How should I prepare?2008-07-08T04:41:56Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Geometry Revisited by H.S.M. Coxeter & Samuel L. Greitzer<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26953How should I prepare?2008-07-08T04:40:24Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
<br />
Here are a few more '''books good for preparation for higher level contests''' such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26952How should I prepare?2008-07-08T04:40:01Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
AoPS has a list of books available through the website, separated by contest level, [http://www.artofproblemsolving.com/Books/AoPS_B_CP.php here].<br />
<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
Here are a few more books good for preparation for higher level contests such as AMC 12, AIME, and USAMO:<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* Problem-Solving Strategies by Arthur Engel<br />
<br />
* Art and Craft of Problem Solving by Paul Zeitz<br />
<br />
* 102 Combinatorial Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 103 Trigonometry Problems by Titu Andreescu & Zuming Feng<br />
<br />
* 104 Number Theory Problems by Titu Andreescu & Zuming Feng<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26951How should I prepare?2008-07-08T04:34:25Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
* Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
* Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
* Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
* Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26950How should I prepare?2008-07-08T04:33:48Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
- Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
The '''AoPS textbooks''' break down specific areas of mathematics. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
- Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
- Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26949How should I prepare?2008-07-08T04:33:10Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
The '''Art of Problem Solving books''' are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
- Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
AoPS also has books broken down into specific areas. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
- Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
- Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26948How should I prepare?2008-07-08T04:32:55Z<p>Mysmartmouth: /* Books */</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
The Art of Problem Solving books are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
- Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
<br />
AoPS also has books broken down into specific areas. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
- Introduction to Algebra - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Number Theory - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Geometry - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Introduction to Counting & Probability - Mathcounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Intermediate Algebra - AMC 12, AIME, USAMO<br />
<br />
- Intermediate Counting & Probability - AMC 12, AIME, USAMO<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26947How should I prepare?2008-07-08T04:31:42Z<p>Mysmartmouth: </p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
The Art of Problem Solving books are an excellent resource to help prepare for math contests. They cover a broad range of topics, from algebra to geometry to number theory to combinatorics and much much more.<br />
<br />
- Art of Problem Solving Volume 1 - MathCounts, AMC 8, AMC 10, AMC 12<br />
<br />
- Art of Problem Solving Volume 2 - AMC 10, AMC 12, AIME, USAMO<br />
<br />
AoPS also has books broken down into specific areas. These books are on 3 levels, Introductory, Intermediate, and Advanced. The Advanced series, as well as part of the Intermediate series, has not yet been published. These books are indexed [http://www.artofproblemsolving.com/Books/AoPS_B_Texts.php here]. Excerpts are provided, as well as pretests and posttests to see if the books are on the right level for you.<br />
<br />
- Introduction to Algebra<br />
<br />
- Introduction to Number Theory<br />
<br />
- Introduction to Geometry<br />
<br />
- Introduction to Counting & Probability<br />
<br />
- Intermediate Algebra<br />
<br />
- Intermediate Counting & Probability<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26946How should I prepare?2008-07-08T04:23:15Z<p>Mysmartmouth: </p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.<br />
<br />
== Introduction ==<br />
<br />
<br />
== Books ==<br />
<br />
<br />
== Practice Problems ==<br />
<br />
<br />
== Forums ==<br />
<br />
<br />
== Handouts ==<br />
<br />
<br />
== Classes ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=How_should_I_prepare%3F&diff=26945How should I prepare?2008-07-08T04:18:39Z<p>Mysmartmouth: New page: A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.</p>
<hr />
<div>A common question that regularly comes up on the forum is "How can I prepare for MathCounts/AMC/ARML/AIME/USAMO?" This page is intended to answer these questions.</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=User:Mysmartmouth&diff=26944User:Mysmartmouth2008-07-08T04:16:34Z<p>Mysmartmouth: </p>
<hr />
<div>== About Me ==<br />
<br />
I'm Sean, an 11th grader in South Carolina. I'm a moderator of several AoPS forums, including Careers in Mathematics, Other US Contests & Programs, and the South Carolina community forum. I am also a Resource Manager, so if you post a problem that needs to be included in the resources section, please contact me. My interests include: math, tennis, wrestling, & Halo 2.<br />
<br />
'''<br />
[[User:Mysmartmouth/Awards | My Awards]]<br />
<br />
[[User:Mysmartmouth/Contributions | My Contributions]]<br />
<br />
[[User:Mysmartmouth/Handles| My Handles]]<br />
'''</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=User:Mysmartmouth/Community_Awards&diff=12146User:Mysmartmouth/Community Awards2007-01-15T05:20:17Z<p>Mysmartmouth: </p>
<hr />
<div><br />
== My Community Awards ==</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Mock_AMC&diff=12144Mock AMC2007-01-14T20:48:20Z<p>Mysmartmouth: /* 2006-2007 */</p>
<hr />
<div>A '''Mock AMC''' is a contest intended to mimic an actual [[AMC]] exam. A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member and then administered for any of the other community members to take.<br />
<br />
Mock AMC's are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock AMC's in any given year, but it's usually a good bet that someone will.<br />
<br />
== Tips for Writing a Mock AMC ==<br />
Anyone can write a Mock AMC and administer it. If you are interested in writing one, here are some tips:<br />
<br />
* Look at past AMC/[[AHSME]] tests to get a feel for what kind of problems you should write and what difficulty level they should be.<br />
* Look at famous theorems and formulas and see if there's any way you can make a good problem out of them.<br />
* If you're running out of creative juice and decide to pull problems from contests, try using problems from obscure contests first, if possible. This way, even the more experienced test takers will hopefully find problems that they do not already know how to do.<br />
* Pair up with another user on AoPS and write it together. Two minds are much better than one. With just one person, the problems might be biased toward one subject, but with two people, the chances of this happening are less.<br />
<br />
== Past Mock AMCs ==<br />
Listed below are the Mock AMCs which have been hosted over AoPS in the past. All of these links are to message board threads.<br />
<br />
=== Pre 2005 ===<br />
----<br />
==== Mock AMC #1 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9321 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9353 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=55329#55329 Notes on Scoring]<br />
* Solutions<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9572 1-5]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9573 6-10]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9574 11-15]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9575 16-20]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9576 21-25]<br />
<br />
==== Mock AMC #2 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=10497 Problems]<br />
<br />
==== Mock AMC A ====<br />
* by JRosen3<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14138 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14361 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14489 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14516 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=100659#100659 Rules]<br />
<br />
==== Mock AMC B ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14492 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/download.php?id=601 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14669 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14665 Results]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14652 Rules]<br />
<br />
==== Mock AMC C ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14735 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14764 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14894 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14884 Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by JGeneson<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15001 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15134 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15251 Results/Discussion]<br />
<br />
==== Mock AMC E ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=16886 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17888 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17891 Results/Discussion]<br />
<br />
==== Mock AMC F ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=19340 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/files/mock_amc_f8.pdf Problems]<br />
<br />
==== Mock AMC G ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21997 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22141 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22344 Solutions]<br />
<br />
==== Mock AMC H ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22049 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23163 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23177 Results/Discussion]<br />
<br />
==== Mock AMC I ====<br />
* by Lucky707 and SingTheSorrow<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24974 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25087 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC J ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24437 Problems/Discussion/Solutions]<br />
<br />
==== Mock AMC K ====<br />
* by whitehorseking88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21280 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25181 Problems]<br />
<br />
=== 2005-2006 ===<br />
----<br />
==== Mock AMC A ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47580 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47582 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47736 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC B ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47625 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48129 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48132 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC C ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=49958 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50515 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50726 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=61330 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63041 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63258 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC E ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78336 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78982 Problems]<br />
*[http://www.artofproblemsolving.com/Forum/viewtopic.php?t=79749 Results/Discussion/Solutions]<br />
<br />
=== 2006-2007 ===<br />
----<br />
<br />
==== Mock AMC A ====<br />
<br />
* by chess64<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=98894 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99307 Problems]<br />
* [http://mathideas.org/public/math/mock2007A.pdf Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99344 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99566 Solutions]<br />
<br />
==== Mock AMC B ====<br />
<br />
* by mustafa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=121312 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=122126 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6047 Problems Document]<br />
<br />
==== Mock AMC C ====<br />
<br />
* by Anirudh<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125029 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6297 Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125028 Problems]<br />
* Competition is over<br />
<br />
==== Mock AMC D ====<br />
<br />
* by calc rulz<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125194 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=713630 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6356 Problems Document]<br />
* Competition in Progress<br />
<br />
==== Mock AMC E ====<br />
<br />
* by rnwang2<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=126107 Initial Discussion and Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6432 Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=723202#723202 Results/Solutions]<br />
*Competition is over<br />
<br />
==== Mock AMC E ====<br />
* by mysmartmouth<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=126107 Initial Discussion]<br />
* Problems<br />
* Results<br />
* Solutions<br />
* Competition in Progress<br />
<br />
==== Mock AMC G ====<br />
<br />
* by paladin8<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=127979 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6735 Problems Document]<br />
*Competition in progress<br />
<br />
==== Pending Mocks ====<br />
The following AoPS users are in the process of writing Mock AMC Competitions:<br />
* Krustyteklown<br />
* Go Around The Tree<br />
* <s>Anirudh</s><br />
* ccy<br />
* mysmartmouth - Mock AMC F<br />
<br />
== See also ==<br />
* [[American Mathematics Competitions]]<br />
* [[Math books]]<br />
* [[Mathematics competitions]]<br />
* [[Mock AIME]]<br />
* [[Mock USAMO]]<br />
* [[Resources for mathematics competitions]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=User:Mysmartmouth/Awards&diff=12126User:Mysmartmouth/Awards2007-01-08T00:29:48Z<p>Mysmartmouth: </p>
<hr />
<div>== My Awards ==<br />
<br />
''(We had to keep this list for school, so I copied it here)''<br />
<br />
=== 6th Grade ===<br />
<br />
AMC 8 - 1st Place Certificate: Score: 18<br />
<br />
<br />
=== 7th Grade ===<br />
<br />
AMC 8 – Score: 20 – Top 1% in USA<br />
<br />
AMC 10 – Score: 102<br />
<br />
MathCounts Regional – 15th Place Individual; 1st Place Countdown<br />
<br />
PSAT: CR = 65; Math = 70; Writing = 71; Total = 206 <br />
<br />
SAT: Math = 780; Verbal = 650; Total = 1430<br />
<br />
=== 8th Grade ===<br />
<br />
AMC 8 – Score: 22<br />
<br />
AMC 8 School Winner<br />
<br />
AMC 10 – Score: 120.5 – Top 1% (Qualifies for AIME)<br />
<br />
AMC 10 School Winner<br />
<br />
AIME Qualifier<br />
<br />
AIME Score – Score: 4<br />
<br />
AIME SC High Score: 8th Grade<br />
<br />
Duke Math Meet – Score: 5 – Highest Scoring Freshman; SC Team High Scorer<br />
<br />
PSAT: CR = 68; Math = 76; Writing = 76; Total = 220<br />
<br />
SAT: CR = 710; Math = 800; Writing = 670; Total = 2180<br />
<br />
USC High School Math Contest – 3rd Place (out of 8) A.C. Flora High Math Team<br />
<br />
MathCounts Regional – 1st Place Individual; 2nd Place Countdown, 2nd Place Team<br />
<br />
MathCounts State – 3rd Place Individual; 2nd Place Countdown; 1st Place Team<br />
<br />
MathCounts National - 15th Place Team, Most Improved Team, 87th Place Individual<br />
<br />
Coastal Carolina Math Contest – 1st Place Individual (Division I); 3rd Place Overall Team</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Mock_AMC&diff=12117Mock AMC2007-01-06T06:01:18Z<p>Mysmartmouth: /* Pending Mocks */</p>
<hr />
<div>A '''Mock AMC''' is a contest intended to mimic an actual [[AMC]] exam. A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member and then administered for any of the other community members to take.<br />
<br />
Mock AMC's are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock AMC's in any given year, but it's usually a good bet that someone will.<br />
<br />
== Tips for Writing a Mock AMC ==<br />
Anyone can write a Mock AMC and administer it. If you are interested in writing one, here are some tips:<br />
<br />
* Look at past AMC/[[AHSME]] tests to get a feel for what kind of problems you should write and what difficulty level they should be.<br />
* Look at famous theorems and formulas and see if there's any way you can make a good problem out of them.<br />
* If you're running out of creative juice and decide to pull problems from contests, try using problems from obscure contests first, if possible. This way, even the more experienced test takers will hopefully find problems that they do not already know how to do.<br />
* Pair up with another user on AoPS and write it together. Two minds are much better than one. With just one person, the problems might be biased toward one subject, but with two people, the chances of this happening are less.<br />
<br />
== Past Mock AMCs ==<br />
Listed below are the Mock AMCs which have been hosted over AoPS in the past. All of these links are to message board threads.<br />
<br />
=== Pre 2005 ===<br />
----<br />
==== Mock AMC #1 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9321 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9353 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=55329#55329 Notes on Scoring]<br />
* Solutions<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9572 1-5]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9573 6-10]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9574 11-15]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9575 16-20]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9576 21-25]<br />
<br />
==== Mock AMC #2 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=10497 Problems]<br />
<br />
==== Mock AMC A ====<br />
* by JRosen3<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14138 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14361 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14489 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14516 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=100659#100659 Rules]<br />
<br />
==== Mock AMC B ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14492 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/download.php?id=601 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14669 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14665 Results]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14652 Rules]<br />
<br />
==== Mock AMC C ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14735 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14764 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14894 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14884 Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by JGeneson<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15001 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15134 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15251 Results/Discussion]<br />
<br />
==== Mock AMC E ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=16886 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17888 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17891 Results/Discussion]<br />
<br />
==== Mock AMC F ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=19340 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/files/mock_amc_f8.pdf Problems]<br />
<br />
==== Mock AMC G ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21997 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22141 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22344 Solutions]<br />
<br />
==== Mock AMC H ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22049 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23163 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23177 Results/Discussion]<br />
<br />
==== Mock AMC I ====<br />
* by Lucky707 and SingTheSorrow<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24974 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25087 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC J ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24437 Problems/Discussion/Solutions]<br />
<br />
==== Mock AMC K ====<br />
* by whitehorseking88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21280 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25181 Problems]<br />
<br />
=== 2005-2006 ===<br />
----<br />
==== Mock AMC A ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47580 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47582 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47736 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC B ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47625 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48129 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48132 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC C ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=49958 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50515 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50726 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=61330 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63041 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63258 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC E ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78336 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78982 Problems]<br />
*[http://www.artofproblemsolving.com/Forum/viewtopic.php?t=79749 Results/Discussion/Solutions]<br />
<br />
=== 2006-2007 ===<br />
----<br />
<br />
==== Mock AMC A ====<br />
<br />
* by chess64<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=98894 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99307 Problems]<br />
* [http://mathideas.org/public/math/mock2007A.pdf Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99344 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99566 Solutions]<br />
<br />
==== Mock AMC B ====<br />
<br />
* by mustafa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=121312 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=122126 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6047 Problems Document]<br />
<br />
==== Mock AMC C ====<br />
<br />
* by Anirudh<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125029 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6297 Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125028 Problems]<br />
* Competition is over<br />
<br />
==== Mock AMC D ====<br />
<br />
* by calc rulz<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125194 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=713630 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6356 Problems Document]<br />
* Competition in Progress<br />
<br />
==== Mock AMC E ====<br />
<br />
* by rnwang2<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=126107 Initial Discussion and Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6432 Problems Document]<br />
*Competition in Progress<br />
<br />
==== Pending Mocks ====<br />
The following AoPS users are in the process of writing Mock AMC Competitions:<br />
* Krustyteklown<br />
* Go Around The Tree<br />
* <s>Anirudh</s><br />
* ccy<br />
* mysmartmouth - Mock AMC F<br />
<br />
== See also ==<br />
* [[American Mathematics Competitions]]<br />
* [[Math books]]<br />
* [[Mathematics competitions]]<br />
* [[Mock AIME]]<br />
* [[Mock USAMO]]<br />
* [[Resources for mathematics competitions]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Mock_AMC&diff=12116Mock AMC2007-01-06T03:05:17Z<p>Mysmartmouth: /* Pending Mocks */</p>
<hr />
<div>A '''Mock AMC''' is a contest intended to mimic an actual [[AMC]] exam. A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member and then administered for any of the other community members to take.<br />
<br />
Mock AMC's are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock AMC's in any given year, but it's usually a good bet that someone will.<br />
<br />
== Tips for Writing a Mock AMC ==<br />
Anyone can write a Mock AMC and administer it. If you are interested in writing one, here are some tips:<br />
<br />
* Look at past AMC/[[AHSME]] tests to get a feel for what kind of problems you should write and what difficulty level they should be.<br />
* Look at famous theorems and formulas and see if there's any way you can make a good problem out of them.<br />
* If you're running out of creative juice and decide to pull problems from contests, try using problems from obscure contests first, if possible. This way, even the more experienced test takers will hopefully find problems that they do not already know how to do.<br />
* Pair up with another user on AoPS and write it together. Two minds are much better than one. With just one person, the problems might be biased toward one subject, but with two people, the chances of this happening are less.<br />
<br />
== Past Mock AMCs ==<br />
Listed below are the Mock AMCs which have been hosted over AoPS in the past. All of these links are to message board threads.<br />
<br />
=== Pre 2005 ===<br />
----<br />
==== Mock AMC #1 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9321 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9353 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=55329#55329 Notes on Scoring]<br />
* Solutions<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9572 1-5]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9573 6-10]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9574 11-15]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9575 16-20]<br />
** [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9576 21-25]<br />
<br />
==== Mock AMC #2 ====<br />
* by mathfanatic<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=10497 Problems]<br />
<br />
==== Mock AMC A ====<br />
* by JRosen3<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14138 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14361 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14489 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14516 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=100659#100659 Rules]<br />
<br />
==== Mock AMC B ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14492 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/download.php?id=601 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14669 Solutions]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14665 Results]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14652 Rules]<br />
<br />
==== Mock AMC C ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14735 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14764 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14894 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=14884 Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by JGeneson<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15001 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15134 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=15251 Results/Discussion]<br />
<br />
==== Mock AMC E ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=16886 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17888 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=17891 Results/Discussion]<br />
<br />
==== Mock AMC F ====<br />
* by beta<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=19340 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/files/mock_amc_f8.pdf Problems]<br />
<br />
==== Mock AMC G ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21997 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22141 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22344 Solutions]<br />
<br />
==== Mock AMC H ====<br />
* by joml88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=22049 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23163 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=23177 Results/Discussion]<br />
<br />
==== Mock AMC I ====<br />
* by Lucky707 and SingTheSorrow<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24974 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25087 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC J ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=24437 Problems/Discussion/Solutions]<br />
<br />
==== Mock AMC K ====<br />
* by whitehorseking88<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=21280 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=25181 Problems]<br />
<br />
=== 2005-2006 ===<br />
----<br />
==== Mock AMC A ====<br />
* by Rep123max<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47580 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47582 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47736 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC B ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=47625 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48129 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=48132 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC C ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=49958 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50515 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=50726 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC D ====<br />
* by amirhtlusa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=61330 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63041 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=63258 Results/Discussion/Solutions]<br />
<br />
==== Mock AMC E ====<br />
* by Silverfalcon<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78336 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=78982 Problems]<br />
*[http://www.artofproblemsolving.com/Forum/viewtopic.php?t=79749 Results/Discussion/Solutions]<br />
<br />
=== 2006-2007 ===<br />
----<br />
<br />
==== Mock AMC A ====<br />
<br />
* by chess64<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=98894 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99307 Problems]<br />
* [http://mathideas.org/public/math/mock2007A.pdf Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99344 Results/Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=99566 Solutions]<br />
<br />
==== Mock AMC B ====<br />
<br />
* by mustafa<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=121312 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=122126 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6047 Problems Document]<br />
<br />
==== Mock AMC C ====<br />
<br />
* by Anirudh<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125029 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6297 Problems Document]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125028 Problems]<br />
* Competition is over<br />
<br />
==== Mock AMC D ====<br />
<br />
* by calc rulz<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=125194 Initial Discussion]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=713630 Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6356 Problems Document]<br />
* Competition in Progress<br />
<br />
==== Mock AMC E ====<br />
<br />
* by rnwang2<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=126107 Initial Discussion and Problems]<br />
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?mode=attach&id=6432 Problems Document]<br />
*Competition in Progress<br />
<br />
==== Pending Mocks ====<br />
The following AoPS users are in the process of writing Mock AMC Competitions:<br />
* Krustyteklown<br />
* Go Around The Tree<br />
* <s>Anirudh</s><br />
* ccy<br />
* mysmartmouth<br />
<br />
== See also ==<br />
* [[American Mathematics Competitions]]<br />
* [[Math books]]<br />
* [[Mathematics competitions]]<br />
* [[Mock AIME]]<br />
* [[Mock USAMO]]<br />
* [[Resources for mathematics competitions]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Mock_AIME_3_2006-2007&diff=11827Talk:Mock AIME 3 2006-20072006-11-22T03:12:35Z<p>Mysmartmouth: </p>
<hr />
<div>I used Adeel's problem uploader here. The format is different from the other Mock AIMEs, but it seems his format is a good standard to go by. --[[User:Mysmartmouth|Sean]] 22:12, 21 November 2006 (EST)</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Mock_AIME_3_2006-2007&diff=11826Mock AIME 3 2006-20072006-11-22T03:11:31Z<p>Mysmartmouth: </p>
<hr />
<div>'''Mock AIME 3 2006-2007''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution.<br />
<br />
The Mock AIME 2 2006-2007 was written by Art of Problem Solving community member 4everwise.<br />
<br />
* [[Mock AIME 3 2006-2007 Problems]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 1]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 2]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 3]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 4]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 5]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 6]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 7]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 8]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 9]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 10]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 11]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 12]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 13]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 14]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 15]]<br />
== See also ==<br />
* [[Mathematics competitions]]<br />
* [[Mathematics competition resources]]<br />
* [[Math books]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Mock_AIME_3_2006-2007&diff=11825Mock AIME 3 2006-20072006-11-22T03:10:45Z<p>Mysmartmouth: </p>
<hr />
<div>'''Mock AIME 3 2006-2007''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution.<br />
<br />
* [[Mock AIME 3 2006-2007 Problems]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 1]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 2]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 3]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 4]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 5]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 6]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 7]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 8]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 9]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 10]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 11]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 12]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 13]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 14]]<br />
* [[Mock AIME 3 2006-2007 Problems/Problem 15]]<br />
== See also ==<br />
* [[Mathematics competitions]]<br />
* [[Mathematics competition resources]]<br />
* [[Math books]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Trig_identities&diff=11737Trig identities2006-11-15T04:24:13Z<p>Mysmartmouth: </p>
<hr />
<div>#REDIRECT [[Trigonometric identities]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Derangement&diff=11725Derangement2006-11-13T21:15:12Z<p>Mysmartmouth: </p>
<hr />
<div>A '''derangement''' is a [[permutation]] with no [[fixed point]]s. A derangement can also be thought of as a permutation in which none of the objects are in their original space. For example, the derangements of <math>(1,2,3)</math> are <math>(2, 3, 1)</math> and <math>(3, 1, 2)</math>. The number of derangements of a set of x objects is denoted !x, and is given by the formula:<br />
<br />
<br />
<br />
<math>\displaystyle !x = x! \sum_{k=1}^{n} \frac{-1^k}{k!}</math><br />
<br />
<br />
<br />
{{stub}}</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Derangement&diff=11724Derangement2006-11-13T21:14:52Z<p>Mysmartmouth: </p>
<hr />
<div>A '''derangement''' is a [[permutation]] with no [[fixed point]]s. A derangement can also be thought of as a permutation in which none of the objects are in their original space. For example, the derangements of <math>(1,2,3)</math> are <math>(2, 3, 1)</math> and <math>(3, 1, 2)</math>. The number of derangements of a set of x objects is denoted !x, and is given by the formula:<br />
<br />
<math>\displaystyle !x = x! \sum_{k=1}^{n} \frac{-1^k}{k!}</math><br />
<br />
{{stub}}</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Permutation&diff=11723Permutation2006-11-13T21:08:46Z<p>Mysmartmouth: /* See also */</p>
<hr />
<div>{{stub}}<br />
<br />
<br />
A '''permutation''' of a [[set]] of <math>r</math> objects is any rearrangement (linear ordering) of the <math>r</math> objects. There are <math>\displaystyle r!</math> (the [[factorial]] of <math>r</math>) permutations of a set with <math>r</math> distinct objects.<br />
<br />
One can also consider permutations of [[infinite]] sets. In this case, a permutation of a set <math>S</math> is simply a [[bijection]] between <math>S</math> and itself.<br />
==Notations==<br />
A given permutation of a [[finite]] set can be denoted in a variety of ways. The most straightforward representation is simply to write down what the permutation looks like. For example, the permutations of the set <math>\{1, 2, 3\}</math> are <math>\{1,2,3\}, \{1, 3,2\}, \{2,1,3\}, \{2,3,1\},\{3,1,2\}</math> and <math>\{3,2,1\}</math>. We often drop the brackets and commas, so the permutation <math>\{2,1,3\}</math> would just be represented by <math>213</math>.<br />
<br />
Another common notation is cycle notation. <br />
<br />
==The Symmetric Group==<br />
The set of all permutations of an <math>n</math>-element set is denoted <math>S_n</math>. In fact, <math>S_n</math> forms a [[group]], known as the [[Symmetric group]], under the operation of permutation composition.<br />
<br />
<br />
<br />
A permutation in which no obect remains in the same place it started is called a [[derangement]].<br />
<br />
==Picking ordered subsets of a set==<br />
An important question is how many ways to pick an <math>r</math>-element [[subset]] of a set with <math>n</math> [[element]]s, where order matters. To find how many ways we can do this, note that for the first of the <math>r</math> elements, we have <math>n</math> different objects we can choose from. For the second element, there are <math>n-1</math> objects we can choose, <math>n-2</math> for the third, and so on. In general, the number of ways to permute <math>r</math> objects from a set of <math>n</math> is given by<br />
<math>P(n,r)=n(n-1)(n-2)\cdots(n-r+1)=\frac{n!}{(n-r)!}</math>.<br />
<br />
== See also ==<br />
* [[Combinatorics]]<br />
* [[Derangement]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Permutation&diff=11722Permutation2006-11-13T21:08:16Z<p>Mysmartmouth: </p>
<hr />
<div>{{stub}}<br />
<br />
<br />
A '''permutation''' of a [[set]] of <math>r</math> objects is any rearrangement (linear ordering) of the <math>r</math> objects. There are <math>\displaystyle r!</math> (the [[factorial]] of <math>r</math>) permutations of a set with <math>r</math> distinct objects.<br />
<br />
One can also consider permutations of [[infinite]] sets. In this case, a permutation of a set <math>S</math> is simply a [[bijection]] between <math>S</math> and itself.<br />
==Notations==<br />
A given permutation of a [[finite]] set can be denoted in a variety of ways. The most straightforward representation is simply to write down what the permutation looks like. For example, the permutations of the set <math>\{1, 2, 3\}</math> are <math>\{1,2,3\}, \{1, 3,2\}, \{2,1,3\}, \{2,3,1\},\{3,1,2\}</math> and <math>\{3,2,1\}</math>. We often drop the brackets and commas, so the permutation <math>\{2,1,3\}</math> would just be represented by <math>213</math>.<br />
<br />
Another common notation is cycle notation. <br />
<br />
==The Symmetric Group==<br />
The set of all permutations of an <math>n</math>-element set is denoted <math>S_n</math>. In fact, <math>S_n</math> forms a [[group]], known as the [[Symmetric group]], under the operation of permutation composition.<br />
<br />
<br />
<br />
A permutation in which no obect remains in the same place it started is called a [[derangement]].<br />
<br />
==Picking ordered subsets of a set==<br />
An important question is how many ways to pick an <math>r</math>-element [[subset]] of a set with <math>n</math> [[element]]s, where order matters. To find how many ways we can do this, note that for the first of the <math>r</math> elements, we have <math>n</math> different objects we can choose from. For the second element, there are <math>n-1</math> objects we can choose, <math>n-2</math> for the third, and so on. In general, the number of ways to permute <math>r</math> objects from a set of <math>n</math> is given by<br />
<math>P(n,r)=n(n-1)(n-2)\cdots(n-r+1)=\frac{n!}{(n-r)!}</math>.<br />
<br />
== See also ==<br />
* [[Combinatorics]]<br />
* [[Derangements]]</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Newton%27s_Sums&diff=11358Talk:Newton's Sums2006-11-08T03:42:00Z<p>Mysmartmouth: </p>
<hr />
<div>Isn't this called Newton's Sums instead of Newton sums?<br />
<br />
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --[[User:ComplexZeta|ComplexZeta]] 22:41, 22 August 2006 (EDT)<br />
<br />
== Question ==<br />
<br />
<math>\displaystyle S_4 = r^4 + s^4 + t^4 = - 127 </math>. <br />
<br />
How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --[[User:Mysmartmouth|Sean]] 17:22, 7 November 2006 (EST)<br />
<br />
Come now, you should be able to figure that one out for yourself (especially since 1 is a root of the polynomial). --[[User:JBL|JBL]] 17:31, 7 November 2006 (EST)<br />
<br />
OK, wow, stupid question. Whoooops! --[[User:Mysmartmouth|Sean]] 22:35, 7 November 2006 (EST)<br />
<br />
<br />
== Better Question ==<br />
<br />
Should we change the example to find <math>\displaystyle S_5</math> instead? Reason being, this would show how to use the sums for higher powers, showing that you still only have 4 terms in your equation when you go for a sum that is greater than 4? (i.e. <math>\displaystyle S_4 + 3S_3 + 4S_2 - 8S_1 = 0</math> and then <math>\displaystyle S_5 + 3S_4 + 4S_3 - 8S_2 = 0</math> (Hopefully you get my meaning) (this was something that confused me when I started learning Newton sums). --[[User:Mysmartmouth|Sean]] 22:40, 7 November 2006 (EST)</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Newton%27s_Sums&diff=11357Talk:Newton's Sums2006-11-08T03:40:52Z<p>Mysmartmouth: </p>
<hr />
<div>Isn't this called Newton's Sums instead of Newton sums?<br />
<br />
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --[[User:ComplexZeta|ComplexZeta]] 22:41, 22 August 2006 (EDT)<br />
<br />
== Question ==<br />
<br />
<math>\displaystyle S_4 = r^4 + s^4 + t^4 = - 127 </math>. <br />
<br />
How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --[[User:Mysmartmouth|Sean]] 17:22, 7 November 2006 (EST)<br />
<br />
Come now, you should be able to figure that one out for yourself (especially since 1 is a root of the polynomial). --[[User:JBL|JBL]] 17:31, 7 November 2006 (EST)<br />
<br />
OK, wow, stupid question. Whoooops! --[[User:Mysmartmouth|Sean]] 22:35, 7 November 2006 (EST)<br />
<br />
<br />
== Better Question ==<br />
<br />
Should we change the example to find <math>S_5</math> instead? Reason being, this would show how to use the sums for higher powers, showing that you still only have 4 terms in your equation when you go for a sum that is greater than 4? (i.e. <math>S_4 + 3S_3 + 4S_2 − 8S_1 = 0</math> and then <math>S_5 + 3S_4 + 4S_3 − 8S_2 = 0</math> (Hopefully you get my meaning) (this was something that confused me when I started learning Newton sums). --[[User:Mysmartmouth|Sean]] 22:40, 7 November 2006 (EST)</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Newton%27s_Sums&diff=11356Talk:Newton's Sums2006-11-08T03:35:59Z<p>Mysmartmouth: </p>
<hr />
<div>Isn't this called Newton's Sums instead of Newton sums?<br />
<br />
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --[[User:ComplexZeta|ComplexZeta]] 22:41, 22 August 2006 (EDT)<br />
<br />
== Question ==<br />
<br />
<math>\displaystyle S_4 = r^4 + s^4 + t^4 = - 127 </math>. <br />
<br />
How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --[[User:Mysmartmouth|Sean]] 17:22, 7 November 2006 (EST)<br />
<br />
Come now, you should be able to figure that one out for yourself (especially since 1 is a root of the polynomial). --[[User:JBL|JBL]] 17:31, 7 November 2006 (EST)<br />
<br />
OK, wow, stupid question. Whoooops! --[[User:Mysmartmouth|Sean]] 22:35, 7 November 2006 (EST)</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Newton%27s_Sums&diff=11328Talk:Newton's Sums2006-11-07T22:23:25Z<p>Mysmartmouth: </p>
<hr />
<div>Isn't this called Newton's Sums instead of Newton sums?<br />
<br />
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --[[User:ComplexZeta|ComplexZeta]] 22:41, 22 August 2006 (EDT)<br />
<br />
== Question ==<br />
<br />
<math>\displaystyle S_4 = r^4 + s^4 + t^4 = - 127 </math>. <br />
<br />
How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --[[User:Mysmartmouth|Sean]] 17:22, 7 November 2006 (EST)</div>Mysmartmouthhttps://artofproblemsolving.com/wiki/index.php?title=Talk:Newton%27s_Sums&diff=11327Talk:Newton's Sums2006-11-07T22:23:14Z<p>Mysmartmouth: </p>
<hr />
<div>Isn't this called Newton's Sums instead of Newton sums?<br />
<br />
Most people I know call them Newton sums, but I believe the "proper" term is Newton-Gerard Identities. --[[User:ComplexZeta|ComplexZeta]] 22:41, 22 August 2006 (EDT)<br />
<br />
== Question ==<br />
<br />
<math>\displaystyle S_4 = r^4 + s^4 + t^4 = - 127 </math>. How can the sum of squares equal a negative number (or does the polynomial have imaginary roots?). --[[User:Mysmartmouth|Sean]] 17:22, 7 November 2006 (EST)</div>Mysmartmouth