User:Aoum
Find more resources at Omega Learn: https://www.omegalearn.org/
Visit me at my website, Mathance: https://sites.google.com/view/mathance/
Contents
Welcome
Welcome to my user page! I am a math competition enthusiast! I contribute to the AoPS Wiki and I try to get better at math! 'Please remember to bookmark or watch this page, as it will give you vital information on math competition preparation.' This user page is often updated with more information and edits, so keep coming back!
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Please add one more to the visit count below if this is your first time on my user page. I got the idea from cxsmi, who got the idea from MRENTHUSIASM. Thanks for visiting my user page, and enjoy your stay!
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If you would like to find more math and science competition resources, check out OmegaLearn.org for information, resources, books, and videos by Sohil Rathi! Also check out Sohil Rathi's YouTube Channel for a collection of videos, including AMC 8, 10, 12 preparation videos.
Sohil Rathi's Omega Learn provides a variety of resources for math competition enthusiasts. For example, Omega Learn has written the following books, free and available on Omega Learn:
AMC 8
What is the AMC 8 Contest
The AMC 8 is a math contest organized by the Mathematical Association of America (MAA). The AMC 8 contest consists of 25 multiple-choice questions that must be completed within 40 minutes. There is no negative marking on this test, so remember to select an answer for every problem, even if you have to guess.
Who can take the AMC 8
Students must be in grade 8 or below and also under 14.5 years of age on the day of the competition. Note that students in elementary schools are also eligible to take the contest.
Where can you take the AMC 8
Many middle schools host the contest in their school. If your middle school doesn't offer the contest, you can try requesting your math teachers or principal to consider becoming a hosting site. You can also search for nearby locations hosting the contest using this zip code search.
The Mathematical Association of America also requests its member institutions of higher learning to consider offering the AMC 8 to students whose schools will not be offering the contest. You can find a list of alternate locations in your area here.
If you are in elementary school and interested in taking the AMC 8, you can also reach out to math teachers in nearby middle schools and check if any of them will allow outside students to take the contest.
How to score high on the AMC 8
So, how can you score well on the AMC 8? Here are four key things to focus on:
- Understanding all the content: these go beyond the school curriculum so there's going to be a lot of learning to do if you're new to competition math
- Being able to apply concepts to tricky problems: these are math content problems and the problems are not straightforward like in school math so the problems require creative thinking and that's something that can only be achieved with more practice
- Solving the problems accurately: You need to learn how to avoid common mistakes like calculation errors, silly mistakes, misreading the questions, etc.
- Working quickly: You need to finish 25 problems in 40 minutes, and you need to learn good time management so you can attempt all the questions without getting stuck.
AMC 10
What is the AMC 10 Contest
The AMC 10 is a math contest organized by the Mathematical Association of America (MAA). The AMC 10 contest contains 25 multiple choice questions that must be completed within 75 minutes. You get 1.5 points for every question that is left blank, so remember to not guess blindly.
The top 2.5% (approximately) students on the AMC 10 are invited to take the American Invitational Mathematics Examination (AIME).
Who can take the AMC 10
Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. Note that even students in elementary schools are eligible to take the contest.
Where can you take the AMC 10
Many middle/high schools host the contest in their school. If your school doesn't offer the contest, you can try requesting your math teachers or principal to consider becoming a hosting site. You can also search for nearby locations hosting the contest using this zip code search.
The Mathematical Association of America also requests its member institutions of higher learning to consider offering the AMC 10 to students whose schools will not be offering the contest. You can find a list of alternate locations in your area here.
If you are in a school which does not host the contest, you can also reach out to math teachers in nearby high schools and check if any of them will allow outside students to take the contest.
How to score high on the AMC 10
So, how can you score well on the AMC 10? Here are four key things to focus on:
- Understanding all the content: The problems go beyond the school curriculum, so if you're new to competition math you will need to learn a variety of concepts from Algebra, Number Theory, Combinatorics, and Geometry
- Being able to apply concepts to tricky problems: AMC 10 problems are not straightforward like in school math, so the problems require creative thinking and that's something that can only be achieved with significant practice
- Solving the problems accurately: You need to simulate test conditions to learn how to avoid common mistakes like calculation errors, silly mistakes, misreading the questions, etc.
- Working quickly: You need to finish 25 problems in 75 minutes, and you need to learn good time management so you can attempt most of the questions without getting stuck.
AMC 12
What is the AMC 12 Contest
The AMC 12 is a math contest organized by the Mathematical Association of America (MAA). The AMC 12 contest contains 25 multiple choice questions that must be completed within 75 minutes. You get 1.5 points for every question that is left blank, so remember to not guess blindly.
The top 5% (approximately) students on the AMC 12 are invited to take the American Invitational Mathematics Examination (AIME).
Who can take the AMC 12
Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12. Note that even students in elementary/middle schools are eligible to take the contest.
Where can you take the AMC 12
Many high schools host the contest in their school. If your school doesn't offer the contest, you can try requesting your math teachers or principal to consider becoming a hosting site. You can also search for nearby locations hosting the contest using this zip code search.
The Mathematical Association of America also requests its member institutions of higher learning to consider offering the AMC 12 to students whose schools will not be offering the contest. You can find a list of alternate locations in your area here.
If you are in a school which does not host the contest, you can also reach out to math teachers in nearby high schools and check if any of them will allow outside students to take the contest.
How to score high on the AMC 12
So, how can you score well on the AMC 12? Here are four key things to focus on:
- Understanding all the content: The problems go beyond the school curriculum, so if you're new to competition math you will need to learn a variety of concepts from Algebra, Number Theory, Combinatorics, and Geometry. Note: The AMC 12 contests include a few extra topics compared to the AMC 10, so you must specifically prepare for these topics:
- Trigonometry
- Logarithms
- Complex Numbers
- Being able to apply concepts to tricky problems: AMC 12 problems are not straightforward like in school math, so the problems require creative thinking and that's something that can only be achieved with significant practice
- Solving the problems accurately: You need to simulate test conditions to learn how to avoid common mistakes like calculation errors, silly mistakes, misreading the questions, etc.
- Working quickly: You need to finish 25 problems in 75 minutes, and you need to learn good time management so you can attempt most of the questions without getting stuck.
AIME
What is the AIME Contest
The AIME (American Invitational Math Examination) is a math contest organized by the Mathematical Association of America (MAA). The AIME contest contains 15 questions that must be completed within 3 hours. Each answer is a 3 digit integer from 000 - 999. There is no penalty for guessing but there is only a 1 in 1000 chance of guessing something correctly.
Who can take the AIME
To take the AIME, you must qualify based on your score on AMC 10 or AMC 12 contest. The top 10 - 15% on the AMC 12 and the top 5 - 10% on the AMC 10 are invited to take the American Invitational Mathematics Examination (AIME).
You can also qualify for AIME from USAMTS (USA Mathematical Talent Search), which is a proof based competition with 3 rounds over 3 months. However, this is much harder than making it through the AMC 10/12. Even if you qualify for AIME through USAMTS, it will be much harder to qualify for USA(J)MO as the index for USAMTS is "100 times the USAMTS score divided by 75" so your maximum index will be 100 (compared to AMC max score of 150), and you would need to score very high on AIME to have any chance at USA(J)MO qualification.
Where can you take the AIME
The AIME must be taken at the same center where you took the AMC 10/12, which helped you qualify for the AIME.
MATHCOUNTS
MOEMS
Science Bowl
F=ma
Free Book: Mastering AMC 8
The Mastering AMC 8 book covers the most important concepts on the AMC 8 exam with video lectures for every topic and hundreds of practice problems with video solutions. This includes problems from AMC 8, MATHCOUNTS, BmMT, EMCC, and many original problems.
This book covers the following topics:
- Combinatorics
- Algebra
- Number Theory
- Geometry
Award: The National Museum of Mathematics organizes the Strogatz Prize for Math Communications which awarded an honorable mention to the Mastering AMC 8 book.
Free Book: Mastering AMC 10/12
The Mastering AMC 10/12 book covers the most important concepts on the AMC 10/12 exam with video lectures for every topic and hundreds of practice problems with video solutions.
This book covers the following topics:
- Combinatorics
- Algebra
- Number Theory
- Geometry
- Logarithms
- Trigonometry
- Complex Numbers
Note: This book is a work in progress and new chapters and problems will be added regularly, so bookmark OmegaLearn.org and check often to get the latest version of the book.
Free Book: The Mathematical Book of Formulas and Strategies
This book covers the most popular mathematical formulas and strategies. This book is a 140+ page collection of the most important theorems, formulas, and strategies for math competitions. This book should serve as a reference guide for quick review before any math competition, and should be useful for competitions like the AMC 8, AMC 10/12, MATHCOUNTS, and AIME.
This book covers the following topics:
- Algebra
- Number Theory
- Combinatorics
- Geometry
- Trigonometry
- Logarithms
- Complex Numbers
