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AMC 10 vs AMC 12: A Strategic Guide to Exam Selection and Long-Term Preparation

Choosing between AMC 10 and AMC 12 is a critical decision for students aiming to qualify for AIME and strengthen their academic profile for competitive high school and university admissions. This article provides a comprehensive comparison of AMC 10 and AMC 12, along with grade-based recommendations and a structured long-term preparation strategy.

I. AMC 10 / AMC 12 Training Programs (Selected Courses)

AMC 10 Full Program
Class Size: 3–8 students
Schedule: February 7 – August 22, 2026 (Every Saturday, 10:00–12:00)
Instructor: Mr. Wang

AMC 10 Full Program
Class Size: 3–8 students
Schedule: February 22 – September 13, 2026 (Every Sunday, 10:10–12:10)
Instructor: Mr. Wang

AMC 12 Full English Program
Class Size: 3–8 students
Schedule: February 22 – September 31, 2026 (Every Sunday, 8:00–10:00)
Instructor: Mr. Wang

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II. Overview of the AMC Competition System

  • IMO (International Mathematical Olympiad)
    The highest-level international mathematics competition for high school students, held annually and hosted by participating countries on a rotating basis.

  • USA(J)MO (United States of America Mathematical Olympiad / Junior Mathematical Olympiad)
    Top performers advance to the Mathematical Olympiad Summer Program (MOSP), from which the U.S. IMO team is selected.

  • AIME (American Invitational Mathematics Examination)
    An invitation-only exam with a higher difficulty level than AMC 10/12. High scorers may qualify for USAJMO or USAMO.

  • AMC 10 / AMC 12 (American Mathematics Competitions)
    National-level math competitions for middle and high school students. Strong performance can lead to AIME qualification.

  • AMC 8
    The introductory level of the AMC series, designed for younger students.

III. AMC 10 vs AMC 12: Key Comparison

Similarities

  • Exam Period: November each year (A and B versions held one week apart)

  • Exam Language: Bilingual (English and Chinese in mainland China)

  • Format: 25 multiple-choice questions, 75 minutes

  • Scoring Rules:

    • Correct answer: +6 points

    • Incorrect answer: 0 points

    • Unanswered: +1.5 points

Differences

Eligibility

  • AMC 10: Grade 10 and below, under 17.5 years old on exam day

  • AMC 12: Grade 12 and below, under 19.5 years old on exam day

AIME Qualification Rate

  • AMC 10: Approximately top 2.5%

  • AMC 12: Approximately top 5%

Difficulty Level

  • AMC 10: Comparable to junior high-level mathematics competitions, with an emphasis on foundational concepts

  • AMC 12: Comparable to senior high-level competitions, requiring stronger abstraction and mathematical reasoning

Content Coverage

  • AMC 10 Topics:
    Integers, fractions, decimals, basic geometry, area and volume, ratios, percentages, elementary number theory, probability, statistics, and logical reasoning. No trigonometry or calculus is required.

  • Additional AMC 12 Topics:
    Trigonometric identities, advanced sequences, binomial theorem, logarithms, and complex numbers (not covered in AMC 10).

Key Conclusions

  • AMC 12 is more challenging, but the AIME qualification threshold is lower.

  • AMC 12 results are generally more competitive and carry greater weight in elite university applications.

IV. AMC 10 / AMC 12 Selection Recommendations by Grade

  • Grades 5–7 (without advanced coursework):
    AMC 10 is recommended due to limited exposure to required topics.

  • Grades 8–10:

    • Goal: AIME qualification only → AMC 10

    • Goal: High score + AIME → AMC 12

    • Goal: Advanced competitions, summer programs, Ivy League or Oxbridge → AMC 12 (if foundation is strong)

  • Grades 11–12:
    AMC 12 is the only option and should be approached with full commitment to achieving a high score.

V. Matching Competitions with Academic Goals

  • AMC 10:
    Suitable for international high schools, strong foundation programs, and early demonstration of mathematical talent.

  • AMC 12:
    Strongly aligned with elite A-Level schools, advanced mathematics tracks, MIT, Cambridge, and other top-tier institutions.

VI. Dual-Registration Strategy: AMC 10 + AMC 12

Because the A and B exams are held approximately one week apart, students may register for multiple versions to increase their chances of success.

Recommended combinations include:

  • AMC 10A + AMC 10B

  • AMC 10A + AMC 12B

  • AMC 12A + AMC 12B

  • AMC 12A + AMC 10B

This strategy allows students to balance risk and opportunity.

VII. Long-Term AMC 10 / AMC 12 Preparation Strategy

Stage 1: Foundation Building (Now – June)

Focus on the four core modules:

  • Algebra (approximately 30%)

  • Geometry (approximately 25%)

  • Number Theory and Combinatorics (approximately 45%)

Allocate time based on individual strengths and weaknesses.

Stage 2: Past Paper Training (July – September)

Adopt a three-round practice method:

  1. Full-length timed mock exams

  2. Error analysis and topic-based review

  3. Targeted practice on Questions 21–25

Stage 3: Final Review and Sprint (October – Exam Day)

  • Maintain a structured error log

  • Conduct weekly full mock exams

  • For top 1% candidates, incorporate AIME past papers to enhance advanced problem-solving skills

VIII. AMC Training Program Overview

  • Course Types: Foundation, Full Program, Intensive

  • Class Size: 3–8 students or one-on-one

  • Language Options: Chinese, English, or Full English

  • Format: Online instruction with replay access

Fast-Track Program

  • Tuition: RMB 8,800 (limited-time offer)

  • Includes:

    • 20 hours of structured concept review

    • 20 hours of intensive problem-solving sessions

    • Exam registration support

IX. Faculty Team (Selected Members)

  • Dr. Zhang – PhD in Pure Mathematics (University of Rochester), AMC-certified coach

  • Mr. Liu – MSc in Electrical and Computer Engineering (University of British Columbia)

  • Dr. Zhuang – PhD in Mathematical Logic, former U.S. university lecturer

X. Self-Developed Materials and Student Achievements

Proprietary AMC Textbooks

Designed by the teaching team to systematically organize AMC 10, AMC 12, and AIME content into modular, exam-focused units.

Selected Results

  • Hundreds of AMC 10 students qualified for AIME

  • Multiple global Top 1% scorers and perfect scores

  • AMC 12 students reached USA(J)MO qualification thresholds

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