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AMC 10

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AMC 10
NameAMC 10
Administered byMathematical Association of America
Established1950s
FrequencyAnnual
ParticipantsHigh-school students

AMC 10 The AMC 10 is a United States secondary-school mathematics competition administered by the Mathematical Association of America that serves as a qualifying exam for subsequent contests such as the AIME and selection into teams for the International Mathematical Olympiad. It is taken by students nationwide and internationally, and it interfaces with institutions such as the American Invitational Mathematics Examination program, regional math circles, and national organizations including the Art of Problem Solving and the National Math Olympiad Committee. The contest is recognized by academic programs at schools like Stuyvesant High School, Massachusetts Institute of Technology, and by scholarship programs such as the Rhodes Scholarship-aligned preparatory activities.

Overview

The contest offers a multiple-choice test designed to assess problem-solving skills among secondary-school participants affiliated with organizations like the Mathematical Olympiad Program, MathCounts, and Siemens Competition. Historically administered by the Mathematical Association of America, it intersects with competitions such as the American Mathematics Competitions series and complements curricula in institutions like Harvard University outreach programs, Princeton University summer initiatives, and county-level science fairs.

Eligibility and Format

Eligibility rules permit students enrolled in grades up to tenth grade or under nineteen years old according to policies similar to those of the United States Department of Education and organizations like the College Board. The format traditionally comprises 25 multiple-choice questions to be completed in 75 minutes, paralleling structures used by contests organized by the American Invitational Mathematics Examination committee and modeled for feeder events run by groups such as the Math Olympiad Committee of USA and regional mathematics clubs affiliated with universities like University of California, Berkeley and University of Chicago.

Content and Topics Covered

Problems emphasize algebraic reasoning, combinatorics, number theory, geometry, and elementary probability, drawing on methodologies taught at institutions like MIT, Stanford University, Caltech, and Yale University outreach courses. Typical topics include quadratic equations reminiscent of problems studied by students at the International Mathematical Olympiad Training Site, modular arithmetic related to results by mathematicians associated with Princeton University and University of Cambridge, planar Euclidean geometry connected to classical work by figures tied to University of Oxford and École Normale Supérieure, and counting arguments similar to research from labs at University of California, Los Angeles.

Scoring, Awards, and Advancement

Scoring uses a point-for-correct, no-penalty-for-blank model comparable to scoring in contests overseen by the Mathematical Association of America and advancement criteria that lead to invitations to the American Invitational Mathematics Examination (AIME) and selection processes run by bodies such as the USA Mathematical Olympiad program. Awards include honor roll recognitions and certificates akin to distinctions conferred by organizations like the National Science Foundation and acknowledgments similar to those given by the Choice Program and prestigious camps hosted by universities including Carnegie Mellon University and University of Michigan.

Historical Development and Notable Changes

The competition evolved alongside national initiatives in mathematical enrichment connected to programs at Princeton University, Harvard University, and federal efforts like those influenced by the National Science Foundation in the postwar era. Notable changes include shifts in problem distribution and test administration reflecting policies adopted by the Mathematical Association of America and educational trends influenced by conferences at institutions such as Columbia University and the Institute for Advanced Study.

Preparation and Resources

Preparation resources range from problem sets compiled by the Mathematical Association of America and textbooks used in courses at Massachusetts Institute of Technology and Harvard University to online platforms like the Art of Problem Solving community and archival materials maintained by mathematical societies linked to American Mathematical Society and university math departments at University of Texas at Austin and University of Illinois Urbana-Champaign. Training camps and workshops are offered by organizations including the Mathematical Olympiad Program, summer programs at Stanford University and Duke University, and regional initiatives hosted by schools such as Bronx High School of Science.

Impact and Notable Participants

Alumni and high achievers from the contest include students who later attended or were affiliated with institutions such as Harvard University, Stanford University, Massachusetts Institute of Technology, and Princeton University and who participated in programs like the International Mathematical Olympiad and the Putnam Competition. The contest has served as an early platform for mathematicians, engineers, and scientists who later worked at organizations including Bell Labs, Google, Microsoft Research, and research institutes associated with NASA and the National Institutes of Health.

Category:Mathematics competitions Category:Mathematical Association of America