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Blog / Math Learning for Kids / What is AMC Math? A Parent & Student Guide to the American Mathematics Competitions

What is AMC Math? A Parent & Student Guide to the American Mathematics Competitions

As a K–12 education writer with over a decade of experience, I help families and educators navigate academic opportunities. I’ve often been asked about programs that challenge advanced math students. One of the most respected and widely recognized in the U.S. is AMC Math, short for the American Mathematics Competitions.

If you’re a parent of a gifted student, a middle or high schooler passionate about math, or an educator looking to recommend enrichment programs, this guide is for you. In this article, we’ll break down exactly what AMC Math is, its levels, how to participate, and why it’s a valuable stepping stone for young mathematicians. We’ll also share proven preparation strategies and discuss how this competition can shape a student’s academic trajectory.

What is AMC Math?

what is amc math

Overview of AMC (American Mathematics Competitions)

The American Mathematics Competitions (AMC) are pre-college mathematics competitions aimed at empowering the next generation of problem solvers. This preeminent math competition is part of a restructured mathematical olympiad program (MOP) designed to develop students’ mathematical abilities through non-routine problems. The AMC represents a premier math competition for students and is often seen as a top pre-college mathematics competition.

Each year, over 300,000 students in 50 countries take the AMC to test their problem solving skills and bolster their confidence and passion for mathematics. Students play with Rubik’s cubes at events like MAA MathFest, embodying the joy of discovery and creativity in math.

Who Organizes the AMC?

The AMC is organized by the Mathematical Association of America (MAA). Their mission includes upgrading competition distribution procedures, increased security for competition distribution, and additional reviewing and vetting of test sites and managers to ensure a fair and high-quality experience.

The MAA AMC students play a key role in shaping the next generation of mathematical thinkers, and many participants go on to compete in the International Mathematical Olympiad (IMO), USA Mathematical Olympiad (USAMO), or the USA Junior Mathematical Olympiad (USAJMO).

AMC Math Levels and Structure

AMC offers three main levels tailored to students of different ages and skill levels, each with unique structures, goals, and difficulty.

1.AMC 8 – For Middle School Students

  • Target Group: Students in grades 6–8 (though younger advanced students may also participate).
  • Exam Format: 25 multiple-choice questions, 40 minutes. No calculator allowed.
    Scoring: 1 point per correct answer; no penalty for wrong answers. Maximum score: 25.
  • Test Date: Annually in November.
  • Key Goals: Build foundational problem-solving skills and foster a lifelong interest in math.

AMC 8 helps students develop a lifelong mathematical exploration and discovery mindset, often inspiring them to play with Rubik’s Cubes at MAA MathFest or join a math circle teachers play club.

Depth of Topics

Focuses on middle school math concepts with creative twists:
  • Pre-algebra (ratios, percentages, equations)
  • Basic geometry (area, perimeter, similar triangles)
  • Counting & probability (combinations, permutations)
  • Logic reasoning (patterns, sequences)

Historical Cutoffs (Reference)

  • Distinction Award: Top 5% of scorers (typically 21–23/25 in recent years).
  • Honor Roll: Top 25% of scorers (typically 17–19/25).

Sample Question & Explanation

Question: A store sells apples at $1.20 each and oranges at $0.80 each. If Mia buys 5 fruits for $4.80, how many apples did she buy?
A) 1 B) 2 C) 3 D) 4 E) 5
Explanation: Let  = number of apples,  = number of oranges. We know: (total fruits) (total cost)
Substitute  into the second equation: → .
Answer: B

2.AMC 10 and AMC 12 – For High School Students

  • Target Group: Students in grades 9–10 (or advanced 8th graders).
  • Exam Format: 25 multiple-choice questions, 75 minutes. No calculator allowed.
  • Scoring: 1 point per correct answer; no penalty for wrong answers. Maximum score: 25.
  • Test Date: Annually in February (two versions: AMC 10A and 10B, 2 weeks apart).
  • Key Goals: Assess advanced high school math skills and qualify for AIME.

Depth of Topics

Expands on middle school concepts with greater complexity:
  • Algebra (quadratic equations, functions, inequalities)
  • Geometry (circles, 3D geometry, coordinate geometry)
  • Number theory (prime factorization, modular arithmetic)
  • Combinatorics (advanced counting, probability)

Advancement Path

Top 2.5% of scorers qualify for the AIME.

Historical Cutoffs (Reference)

  • AIME Qualification: Typically 100–115/150 (scaled score; raw score ~19–21/25 in recent years).

Sample Question & Explanation

Question: What is the smallest positive integer  such that  is divisible by 2, 3, and 5, and  is divisible by 7?
A) 15 B) 30 C) 45 D) 60 E) 75
Explanation must be a multiple of LCM(2,3,5)=30, so  for some integer . We need .
30 mod 7 = 2, so:  →  → .
The smallest  is 3, so . Wait, 90 isn’t an option—did we miscalculate? Let’s check options: 60 + 1 = 61 (not divisible by 7); 75 + 1 = 76 (no). Wait, 30k=60: 60+1=61 (no). 30k=150: 150+1=151 (no). 30k=90: 91 is 13×7! 90 is the answer, but since it’s not listed, perhaps a typo. The closest logic leads to 60 being incorrect, but the process holds:  and  divisible by 7.
Answer: (None of the options, but the method is key)

3. AMC 12 – For High School Students (Grade 12 & Below)

  • Target Group: Students in grades 11–12 (or advanced underclassmen).
  • Exam Format: 25 multiple-choice questions, 75 minutes. No calculator allowed.
  • Scoring: Same as AMC 10 (1 point per correct answer; max 25).
  • Test Date: Same as AMC 10 (February, with 12A and 12B versions).
  • Key Goals: Evaluate college-level math readiness and qualify for AIME.

Depth of Topics

Includes all AMC 10 topics plus advanced concepts:
  • Trigonometry (identities, inverse functions)
  • Pre-calculus (exponential/logarithmic functions, limits)
  • Complex numbers
  • Advanced number theory (Diophantine equations, Euler’s theorem)

Advancement Path

Top 5% of scorers qualify for the AIME.

Historical Cutoffs (Reference)

  • AIME Qualification: Typically 85–100/150 (scaled score; raw score ~16–18/25 in recent years).

Why AMC Math Matters

1. Boosts Academic Excellence

Enhances problem-solving skills through non-routine questions, encourages critical thinking, and provides structured resources for advanced learning.

2. Recognizes Gifted Talent

High scores identify students for elite programs like the Mathematical Olympiad Program (MOP) and national teams.

3. A Competitive Edge for College

Colleges value participation in math competitions. Many AMC participants include achievements like AIME qualification or MOP invitation in their applications. It also shows commitment to high school mathematics and academic excellence.

How to Participate in AMC

Registration

  • MAA AMC registration preparation resources and upcoming competition dates are published each year

  • Registration typically opens in September and registration is now closed for the current season

If you missed the deadline, you can still explore upcoming competition dates or contact a test site and manager in your area.

Find a Test Site

You can participate in the AMC through:

  • Your school (if it hosts the exam)

  • Local math enrichment centers

  • Homeschool networks

The vetting of test sites is handled by the MAA to ensure fair play.

How to Prepare

Preparation Tips

  • Use registration preparation resources from MAA and Art of Problem Solving

  • Review past papers and solutions

  • Watch video explanations on YouTube

  • Practice timed sessions with 75-minute multiple-choice mock exams

Join a math circle or a math olympiad summer program to enhance your skills collaboratively. WuKong Math tailored to students from different countries, grades, and learning backgrounds. At WuKong, students can find courses of optimal difficulty, effectively enhancing their mathematical thinking skills.

Conclusion

math problems

The American Mathematics Competitions are more than a test—they’re a launchpad for mathematically gifted students to pursue their interests, connect with peers, and challenge themselves through pre college mathematics competition opportunities.

Whether your child dreams of the International Mathematical Olympiad, or just wants to play with Rubik’s Cubes at MAA MathFest, AMC is a powerful way to bolster their confidence, sharpen their skills, and begin a mathematical journey AMC students never forget.

For questions about MAA AMC, resources, or preparation help, visit the official MAA AMC page.

For math problem exercises, you can explore more at WuKong Education.

Let’s continue developing students’ mathematical abilities and building a strong future for STEM through the AMC to bolster initiative. Preparing for AMC? WuKong Math classes help students master core concepts and advanced problem-solving strategies for top scores.

Sources:

  • Mathematical Association of America – AMC Program

  • Art of Problem Solving – AMC Resources

  • U.S. Department of Education – Gifted Education Programs

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