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Free AoPS E-Books to Help Students Build Competition-Level Mathematical Thinking

For families pursuing the international university application track, especially those targeting MIT, Cambridge, and other world-leading institutions, the pressure is real. Strong standardized test scores alone are no longer enough. Top universities increasingly expect clear academic distinction, and in mathematics, the AMC (American Mathematics Competitions) are nearly unavoidable.

The AMC series is one of the most globally recognized mathematics competitions, widely regarded as an “unspoken benchmark” by elite universities in the U.S. and U.K. However, many parents struggle with AMC preparation:

• The difficulty curve is steep

• Resources are scattered

• Standard textbooks lag far behind competition requirements

• Blindly drilling problems wastes valuable time

In reality, there is a widely acknowledged “shortcut” in AMC preparation:
The Art of Problem Solving (AoPS) series—often called the “competition bible” by top students worldwide. These black-covered textbooks consistently rank at the top of AMC preparation resources and are frequently cited by successful applicants to top universities.

Today, we are sharing free AoPS e-book resources to help students systematically build competition-level mathematical logic, prepare efficiently for AMC exams, and avoid common detours.

Part I: Introduction to the AoPS Book Series

Unlike traditional textbooks that simply list formulas and concepts, AoPS emphasizes mathematical thinking and real problem-solving ability, making it exceptionally well-suited for AMC 8 / AMC 10 / AMC 12 preparation.

Whether a student is starting in Grade 5 or aiming for high scores in Grade 11, AoPS offers a one-stop preparation pathway.

Comprehensive Coverage Across Grades 5–11

The AoPS curriculum progresses in carefully structured stages, aligning with students’ developmental levels and competition goals:

• Foundational topics such as algebra and geometry to solidify core skills

• Advanced topics including number theory and combinatorics, targeting high-frequency AMC challenges

• Full coverage of all tested concepts across AMC 8, 10, and 12

Deep Thinking Training and Logical Framework Building

AoPS does not rely on rote memorization. Instead, it uses guided discovery and heuristic examples to encourage active thinking. Each problem is designed to connect prior knowledge, helping students understand how concepts relate, not just how to apply formulas.

Over time, students develop the ability to generalize, transfer, and extend ideas, which directly matches the core assessment goals of AMC competitions.

Strong Practical Focus with High-Quality Practice

AoPS problem sets are highly targeted and include numerous AMC-style variations and past-problem adaptations. Every problem comes with detailed, logically structured solutions that explain not only how to solve the problem, but why the method works—ensuring deep mastery rather than superficial familiarity.

Essential AoPS Mathematics Competition Books

The Art of Problem Solving, Volume 1

• Difficulty: Moderate

• Recommended for Grades 7–10

• Topics include exponents and logarithms, complex numbers, linear equations, ratios, number theory, and foundational proofs

Prealgebra

• Difficulty: Introductory

• Recommended for Grades 5–8 (AMC 8 level)

• Covers arithmetic, primes and divisibility, fractions, equations and inequalities, decimals, ratios, unit conversion, percentages, and square roots

• Can serve as a complete pre-algebra course

Introduction to Algebra

• Difficulty: Foundational

• Recommended for Grades 6–9

• Covers linear and quadratic equations, factoring techniques, complex numbers, inequalities, functions, polynomials, sequences, absolute value, exponents, and logarithms

Introduction to Geometry

• Difficulty: Intermediate

• Recommended for Grades 7–10 with basic algebra background

• Topics include similar and congruent triangles, quadrilaterals, polygons, circles, solid geometry, and geometric transformations

Introduction to Number Theory

• Difficulty: Intermediate

• Recommended for Grades 7–10

• Covers primes and composites, factors and multiples, prime factorization, modular arithmetic, divisibility rules, linear congruences, and number sense development

Introduction to Counting & Probability

• Difficulty: Intermediate

• Recommended for Grades 7–10

• Topics include permutations, combinations, Pascal’s Triangle, combinatorial identities, probability fundamentals, geometric probability, expected value, and the binomial theorem

Part II: Hanlin AMC Coaching Programs

Aiming for the top 1%, but concerned about gaps in foundations or insufficient advanced training? Hanlin offers tiered AMC programs designed for students at different levels, ensuring systematic progress toward high scores.

Hanlin AMC courses feature:

• Carefully developed proprietary materials

• Elite instructors with strong academic backgrounds

• High-frequency, competition-focused training models

All programs are designed to solidify foundations and push students toward top-percentile performance.

AMC & Euclid Course Overview

If your goal is to qualify for AIME and strengthen your application to top U.S. universities, AMC 10/12 is an essential mathematics competition you cannot overlook. This guide walks you through the competition rules, key focus areas, and a structured preparation strategy to help you compete efficiently and confidently.

1. Key Information About AMC 10 & AMC 12

1.1 Eligibility Requirements

• AMC 10: Students in Grade 10 or below, and no older than 17.5 years

• AMC 12: Students in Grade 12 or below, and no older than 19.5 years

1.2 2026 Exam Schedule (Tentative)

• AMC 10/12 A: November 6, 2026 (Thursday), 17:00–18:15

• AMC 10/12 B: November 14, 2026 (Friday), 17:00–18:15

Exam Duration: 75 minutes

1.3 Exam Format and Scoring

• Format: Individual written exam with 25 multiple-choice questions

• Scoring Rules:

  • Correct answer: 6 points

  • Unanswered question: 1.5 points

  • Incorrect answer: 0 points

• Maximum Score: 150 points

1.4 Exam Content Overview

AMC 10 (Foundational Level)

Covers middle school and early high school mathematics, including:

• Arithmetic & Algebra: ratios, rates, work problems, motion problems

• Geometry: equations and inequalities, parallel lines, similarity

• Number Theory & Combinatorics: divisibility, factors, permutations, and combinations

AMC 12 (Advanced Level)

Builds upon AMC 10 topics without calculus or linear algebra, introducing:

• Advanced Algebra: trigonometric functions, logarithms

• Advanced Geometry: trigonometry, basic conic sections

• Advanced Number Theory: Euler’s theorem, Chinese Remainder Theorem

1.5 Awards and Recognitions

• Distinguished Honor Roll: Top 1% worldwide

• Honor Roll: Top 5% worldwide

• Achievement Award:

  • AMC 10: Students in Grade 8 or below scoring 90+

  • AMC 12: Students in Grade 10 or below scoring 90+

• AIME Qualification Certificate: Awarded to students who meet the official AIME cutoff score

2. Registration and Course Support

2.1 Registration Benefits

Students who register for the AMC 10/12 exam through Hanlin and complete the exam without absence are eligible for the following 2026 benefits:

• Top 5% score: Complimentary 2-hour AIME group course (valued at RMB 3,000)

• Top 1% score: Complimentary 2-hour one-on-one session (valued at RMB 1,500), with a choice between AIME coaching or summer school application guidance

Students who have not secured an exam seat by October 10, 2026, may request a full refund without penalty.

2.2 Course Advantages

• Official Authorized Test Center
  Standardized registration procedures and guaranteed exam seats allow students to focus fully on preparation.

• Structured and Professional Curriculum
  Designed by an experienced academic team, the curriculum addresses AMC 10/12 key concepts and common challenges. Courses span from foundational reinforcement to advanced problem-solving, with targeted modules in algebra, geometry, number theory, combinatorics, and logical reasoning.

2.3 Complete AMC Preparation Materials Package

The preparation package includes:

• Official AMC 10/12 past papers

• Detailed solution guides

• Topic-based problem sets

• Practice workbooks

• Reference textbooks

• Formula sheets and key theorems

As the AIME examination enters its most critical final preparation phase, students who have advanced from AMC 10/12 are fully focused on this prestigious mathematics competition—often regarded as a key stepping stone toward Ivy League and top-tier STEM programs.

As an advanced stage of the AMC competition pathway and a required qualifier for USA(J)MO, every single point on the AIME carries significant academic weight. With a global average score of only 3–5 points, achieving 8 or above places students in the global top 10%, making AIME performance a core reference for Ivy League admissions and elite mathematics summer programs.

Final Sprint: Key Preparation Focus and Exam Strategies

Core Topics to Master

The AIME assesses knowledge across arithmetic, algebra, combinatorics, geometry, number theory, and probability, with calculus strictly prohibited. Compared with AMC competitions, AIME significantly increases both the breadth and depth of tested concepts.

• Algebra
  Emphasis on polynomial theory (Vieta’s formulas, factorization techniques), complex numbers (geometric interpretation, roots of unity), logarithms, trigonometric functions, sequences, and inequalities.

• Geometry
  Advanced geometric theorems such as Menelaus’ Theorem, Ceva’s Theorem, Stewart’s Theorem, triangle centers, power of a point, and applications of coordinate geometry.

• Number Theory
  Intensive focus on congruences, the Chinese Remainder Theorem, divisibility theory, and prime-related results including applications of Fermat’s Little Theorem and Euler’s Theorem.

• Combinatorics and Probability
  Training in the Principle of Inclusion–Exclusion, recurrence relations, foundational graph theory, and probability and expected value calculations, with emphasis on structural analysis.

Difficulty Progression and Time Management

AIME problems increase in difficulty sequentially:

• Problems 1–5: Moderate difficulty

• Problems 6–10: Significantly more challenging

• Problems 11–15: Highly demanding, designed to distinguish top performers

With only 12 minutes per problem on average, time pressure is substantial.

Recommended time allocation:

• Complete Problems 1–5 within 30 minutes to secure foundational points

• Allocate 60 minutes to Problems 6–10, the primary scoring zone

• Attempt Problems 11–15 selectively based on individual strengths

• Reserve 15 minutes at the end for answer verification and form completion

Preparation goals:

• Students aiming to barely qualify should prioritize accuracy in the first 10 problems, targeting 7+ points

• High-scoring AMC qualifiers should expand depth and breadth, focusing strategically on the final five high-difficulty problems

In-Exam Techniques and Mental Readiness

• Problem Reading
  AIME problems are concise but information-dense. Identify the mathematical domain and potential solution paths carefully. Use the bilingual (Chinese–English) exam paper strategically to resolve ambiguities.

• Computation
  Maintain clear and organized scratch work. AIME problems often involve heavy computation, requiring both patience and calculation efficiency. Common numerical results should be fully memorized.

• Answer Format
  All answers must be integers between 0 and 999, with no units or extra symbols.

• Mindset
  When encountering difficult problems, adjust strategy promptly to avoid excessive time loss. Trust the preparation process and remain composed.

After the Exam: Score Release and Cutoff Insights

Score Release Channels

AIME scores are typically released approximately four weeks after the exam. Chinese students may check results via:

• China Organizing Committee
  Students receive an email notification and can log into the official score system at
  https://math-table.com/
  (Select Personal Center → Scores, then enter the registered phone number and verification code.)

• ASDAN Organizing Committee

Historical Score Benchmarks and Competitiveness

• Maximum Score: 15

• Historical Average: ~5

Score interpretations:

• 7+ points: Strong performance, competitive for U.S. Top 30 universities

• Around 9 points: Key credential for elite math summer programs such as ROSS, SUMaC, and PROMYS

• 10+ points: Top 7.2% globally, highly advantageous for Top 20 university applications

• 12+ points: Significantly increases chances of qualifying for USAMO (though Chinese students cannot participate due to nationality restrictions), representing exceptional mathematical ability

Qualification score formulas:

• USAMO Index = AMC 12 Score + 10 × AIME Score

• USAJMO Index = AMC 10 Score + 10 × AIME Score

In recent years, competition has intensified as international students are limited to AIME II, driving cutoff scores higher. For example, the 2025 AIME II USAMO cutoff (AMC 12B) reached 251.5, the highest on record. This makes a strong AIME score increasingly critical, especially for students with lower AMC results.

Post-AIME Planning: Next Steps by Score Range

Regardless of outcome, AIME is a valuable academic experience. Students should plan strategically based on performance:

• 5 points or below
  Consider competitions emphasizing foundational skills and mathematical reasoning, such as the Euclid Mathematics Contest, to strengthen algebra and geometry.

• 5–8 points
  With solid fundamentals, students may pursue applied mathematics challenges like HiMCM, developing mathematical modeling and academic writing skills.

• 9 points and above
  Strongly recommended to apply for elite mathematics summer programs such as ROSS, PROMYS, and SUMaC, which offer exceptional academic value and access to top-tier mentors.

• 10 points and above
  Representing the top 7.2% worldwide, students at this level should also consider advanced competitions or in-depth research projects to build a strong foundation for top STEM university applications.

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

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

For students aiming to achieve strong AMC10/12 scores and secure a solid qualification for AIME, the most critical first step is choosing the right time and strategy to begin preparation.

To help students assess their readiness and experience AMC-style problems, a limited-time AMC10/12 experience class for the 2026 season is now available.

AMC10/12 Experience Class (Limited-Time Offer)

Special Offer: RMB 9.9 for the 2026 season

The Key to AMC10/12 Success: Choosing the Right Starting Point

AMC10/12 exams are held annually in November. The recommended preparation cycle ranges from 3 to 12 months, depending on the student’s grade and background.

Lower grades benefit from long-term foundational development, while higher grades should focus on short-term, precision-driven improvement—avoiding the common pitfalls of starting too early without efficiency or too late under pressure.

The Ideal Preparation Timeline by Grade

Grades 6–8: Foundation Building Stage

Students at this stage should begin exposure to core AMC10 concepts without focusing on intensive problem drilling or scores. The emphasis should be on developing logical reasoning, algebra–geometry connections, and smooth transitions between middle school and high school mathematics.

This stage significantly reduces future preparation pressure.

Grade 9: The Golden Starting Year

Grade 9 is widely regarded as the optimal year to begin formal AMC10 preparation. With sufficient time available, students can systematically master all major topics, aim for high scores, and achieve a stable AIME qualification.

Grade 10: Transition Stage

Students should prioritize achieving strong results in AMC10 while gradually bridging into AMC12 foundational topics. This dual-track strategy allows students to prepare for both competitions and strengthen their academic profile for U.S. college applications.

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Grades 11–12: Short-Term Intensive Stage

At this stage, students should avoid overly difficult or low-frequency problems and focus instead on high-frequency core topics. The primary goal is to improve accuracy on foundational and intermediate-level problems and reliably surpass the AIME cutoff score in a limited timeframe.

A Universal AMC10/12 Preparation Framework

Regardless of starting grade or preparation length, effective AMC preparation follows a consistent three-step structure:

1. Solidify the Fundamentals

Students must fully master the foundational topics across algebra, geometry, number theory, and combinatorics, ensuring 100% accuracy on Problems 1–10, which are typically straightforward but decisive.

2. Targeted Problem-Type Mastery

Rather than blindly practicing full exams, students should systematically work through AMC10/12 problems from the past 10 years, organized by topic.

For Problems 11–20, which require deeper insight, students should develop personalized solution strategies and aim for an accuracy rate of at least 80%.

Recommended Practice Resources:

• AMC10 Past Papers (2010–2024)

• AMC12 Past Papers (2010–2024)

• AIME Past Papers (2010–2025)

3. Mock Exam and Final Sprint

In the final phase, students should repeatedly review incorrect and time-consuming problems, identify weak areas, and refine exam pacing through mock tests.

AMC Participation Eligibility

• AMC10: Students in Grade 10 or below who are under 17.5 years old on the exam date

• AMC12: Students in Grade 12 or below who are under 19.5 years old on the exam date

• AIME: An invitational exam for top scorers in AMC10 and AMC12, featuring significantly higher difficulty

Final Takeaway

Preparing for AMC10/12 is not about starting as early as possible—it is about matching preparation strategies to grade level and executing efficiently.

To help students evaluate their current level and experience the structure of AMC-style problems, we have curated AMC10/12 experience classes for the new season, providing a practical and low-risk entry point into competition preparation.

As a critical bridge between AMC and higher-level mathematics competitions, the AIME (American Invitational Mathematics Examination) is well known for both its difficulty and academic value.

In this article, we will take a clear and approachable look at what the AIME focuses on in 2026, the core mathematical areas it tests, and how students can reserve access to full solution analyses.

Key Features of the AIME Mathematics Competition

Unlike AMC multiple-choice exams, the AIME consists of 15 short-answer questions, each requiring complete logical reasoning and accurate final answers. There are no answer choices to rely on—every problem demands depth of thought and precise execution.

Overall, AIME questions emphasize conceptual understanding, flexible application of techniques, and rigorous problem-solving processes, mainly across the following four areas.

1. Algebra

AIME algebra problems rarely ask students to simply “solve an equation.” Instead, they focus on advanced algebraic manipulation, functional equations, and creative algebraic constructions.

For example, a problem may present a complicated rational or radical expression and ask for its integer part, or define a function with a special relationship and require the evaluation of a sum of function values.

Preparation Tips:
A strong command of AMC-level algebra techniques is essential. Beyond that, students should practice working with symmetric expressions, cyclic sums, and advanced algebraic identities that frequently appear in AIME problems.

2. Geometry

AIME geometry problems often involve complex plane-geometry figures, requiring the combined use of properties of circles, triangles, and classical theorems. In many cases, problems also integrate coordinate geometry or trigonometry.

For example, a problem may include a diagram with multiple intersecting circles and triangles and ask for the length of a segment that is not directly measurable. The key lies in drawing effective auxiliary lines and identifying hidden similarity or congruence relationships.

Preparation Tips:
Students should be fluent in common geometry theorems and models, such as Ceva’s Theorem and Menelaus’ Theorem, and practice breaking down complex diagrams into simpler, manageable components.

3. Number Theory

Number theory is one of the defining features—and challenges—of the AIME. Topics include divisibility, prime numbers, modular arithmetic, and Diophantine equations. While problems are often concise, they require highly rigorous and creative reasoning.

For instance, a problem might ask how many three-digit numbers satisfy a specific divisibility condition involving the number and the sum of its digits. Solving such problems requires systematic analysis and careful casework.

Preparation Tips:
Master fundamental tools such as modular arithmetic and the Euclidean algorithm, and develop familiarity with standard number-theory strategies through extensive practice and structured case analysis.

4. Combinatorics and Probability

Problems in this category often appear in real-life or game-based scenarios, asking students to count outcomes or compute probabilities accurately. Common techniques include case classification, the Principle of Inclusion and Exclusion, and recurrence relations.

Examples include counting the number of valid paths on a game board or determining how many codes satisfy a given set of constraints. Precision is essential to avoid overcounting or missing cases.

Preparation Tips:
Develop a clear understanding of the difference between permutations and combinations, and practice translating word problems into correct mathematical counting models.

Final Thoughts

Overall, AIME problems require students to move beyond AMC-level familiarity and develop deeper reasoning, complete solution structures, and rigorous mathematical writing. During daily practice, it is essential to write out every step clearly and logically—this habit not only improves accuracy but also strengthens problem-solving intuition.

For students preparing for AIME 2026, a clear understanding of these four core areas is the foundation for effective revision and high performance.

Based on the problem-setting patterns of the past ten years of AIME examinations, we are launching a pre-exam intensive training program combining exam trend analysis and problem prediction. This course is designed to help students accurately identify high-frequency topics and maximize scoring efficiency.

Students who enroll now will also receive priority access to in-depth official solution analysis for the 2026 AIME exams, including authoritative answers and scoring standards immediately after the exam embargo is lifted.

1. AIME 2026 Exam Schedule

• AIME I: February 6, 2026, 13:00–16:00

• AIME II: February 12, 2026, 13:00–16:00

2. AIME I / II Exam Trend Analysis and Problem Prediction Intensive Course

Course Highlights

• Real Exam Practice
  In-depth walkthrough of the 2026 AIME I paper. No excessive drilling—only the most representative “core problems” that reveal true problem-setting trends.

• Deep Conceptual Analysis
  Beyond final answers, the course focuses on underlying mathematical ideas, common traps, and high-score strategies. Students learn not only how to solve problems, but why the solutions work.

• Expert-Led Instruction
  Led by experienced competition coaches and top university graduates with extensive AIME teaching and exam experience, helping students prepare from the perspective of seasoned competitors.

Course Content

• Full problem-by-problem explanation of the 2026 AIME I exam

• Targeted AIME II topic forecasting and strategy guidance

Course Schedule

Instructor Profile – Mr. Wang

• Admitted through recommendation to Shanghai Huayu High School, Shanghai High School, and Peking University

• Master’s Degree (First Class Honours) in Financial Statistics from the London School of Economics (LSE)

• Winner of the Allianz Data Analysis Competition

• Two years of overseas professional experience

• Extensive background in mathematical competitions and elite student coaching

Selected Student Achievements

• 2024–2025:

  • 20+ AMC students advanced to AIME

  • 3 students achieved DHR

  • Early application admissions: 1 to Caltech, 3 to Ivy League universities

• 2023–2024:

  • 30+ AMC students advanced to AIME

  • 7 DHRs

  • 5 students scored 10+ on AIME

  • 1 USAMO Silver Medalist (National Rank #33)

  • Admissions to Stanford, Ivy League schools, and Oxbridge

  • Students admitted to SUMAC and ROSS math programs

• 2022–2023:

  • 30+ AMC students advanced to AIME

  • 5 DHRs

  • 6 students scored 10+ on AIME

  • 5 students admitted to the global elite SUMAC in-person program (40 students worldwide)

  • 1 student admitted to ROSS Mathematics Program

Course Format and Fee

• Format: Online live large-group class

• Fee: RMB 1,499

3. 2026 AIME Official Problems and Solutions

• AIME I official problems and solutions: Distributed after the embargo is lifted in 2026

• AIME II official problems and solutions: Distributed after the embargo is lifted in 2026

Students enrolled in the program will receive all materials centrally and promptly.

4. 2026 AIME II On-Site Exam Operations Guide

Event Schedule

• Admission Ticket Query:
  February 4, 2026, 12:00 PM
  (Registered mobile number must be remembered and used for answer sheet identification)

• Exam Time:
  February 12, 2026, 13:00–16:00
  (Entry permitted 30 minutes before the exam)

• Score Release:
  2–4 weeks after the exam

• Certificate Download:
  6–8 weeks after the exam

Exam Rules

• The exam consists of 15 short-answer questions

• Each correct answer earns 1 point; incorrect answers receive 0 points

• Each answer must be an integer from 0 to 999

• Answers with fewer than three digits must be padded with leading zeros (e.g., 000, 001, 011)

• Final scores are determined solely by the answer sheet markings
  (If the written answer is 055 but the filled answer is 056, the recorded answer will be 056)

5. Why Is AIME the “Golden Key” to Top Universities?

AIME is far more than a standard mathematics test—it is one of the most influential global mathematics competitions for secondary school students and a critical gateway to higher academic honors.

1. A Highly Selective Advancement System

AIME is a core component of the AMC competition system. Only students who achieve top scores on AMC 10 or AMC 12 (typically the top 2–2.5%) qualify. Every AIME participant represents the top tier of mathematical talent.

2. Exceptional Academic Value

AIME scores are a key criterion for selecting participants for USAMO and USAJMO. A strong AIME performance is not only proof of advanced mathematical ability but also a powerful academic credential that stands out in applications to Harvard, MIT, Stanford, and other world-class universities.

With the new AMC season approaching, students aiming for top scores need not only strong foundations but also a strategic preparation plan. Led by officially certified AMC instructors, our 2026 AMC10/12 program offers structured guidance and exclusive benefits to help students compete for the global top 1%.

1. AMC10/12 Competition Registration

2026 AMC10/12 Pre-Registration Now Open

As an officially authorized AMC-China examination center, we provide full registration support along with exclusive academic benefits for eligible students.

Registration Benefits

Notes:

• All exam seats are officially authorized by the AMC-China Organizing Committee.

• Exam registration fees are fully refundable without penalty before October 10, 2026.

• After October 10, 2026, exam seats are locked; withdrawals or absences are non-refundable.

• Students meeting the activity requirements (no missed exams) may contact academic advisors for benefits after score cutoffs are announced.

• Final interpretation rights belong to the organizing institutions.

2. 2026 AMC10/12 Experience Classes

Target Students

Students of any grade who are preparing for AMC10 or AMC12. These experience classes provide an introduction to key AMC topics and question styles.

Class Schedule

Course Highlights

• Instruction led by experienced mentors from top universities

• Affordable opportunity to experience full-priced flagship courses

• Carefully selected topics with real exam problem analysis and live Q&A

• Live sessions with replay access for review and consolidation

Instructor Profiles

AMC12 Instructor – Dr. Zhuang

• PhD in Mathematics (Mathematical Logic), University of Denver

• Bachelor’s degree in Applied Mathematics, Southeast University

• Associate editor of International Competition Mathematics Coaching (Junior Level), published with Tsinghua University Press

• Coached multiple students to top results in international math competitions

• 2025 AMC Results:

  • 10 students qualified for AIME

  • 3 students ranked Top 5%

  • 1 student ranked Top 1%

  • Overall AIME qualification rate: 53%

AMC10 Instructor – Mr. Xu

• Bachelor’s and Master’s degrees in Mathematics from the University of Cambridge

• Officially certified AP instructor by the College Board

• Students have repeatedly achieved Top 1% and Top 5% worldwide in AMC8/10

• AP Calculus students achieved a 5-score rate exceeding 80%

The 2026 AIME (American Invitational Mathematics Examination) admission ticket query channel is officially open. Below are important pre-exam details to help students prepare effectively.

1. Exam Schedule

Admission Ticket Query:

• Query Opens: February 4, 2026, 12:00 PM

• How to Query:

  1. Click here to access the query link.

  2. Enter your registered mobile number and verify to view your admission ticket.

• Note: Remember your registration mobile number, as it is required for filling out the answer sheet.

Exam Dates and Times:

• AIME I (Not open to international students): February 6, 2026 (Friday), 1:00–4:00 PM

• AIME II: February 12, 2026 (Thursday), 1:00–4:00 PM
  Students may enter the exam room 30 minutes before the exam to prepare.

Score and Certificate Release:

• Score Release: 2–4 weeks after the exam

• Certificate Download: 6–8 weeks after the exam
  Exact dates subject to official announcement.

2. Exam Instructions

• Enter the exam room 15–30 minutes before the start. Students arriving more than 15 minutes after the start will not be allowed to take the exam.

• Early submission of the exam is not permitted.

• Students must bring: black 2B pencils, erasers, black gel pens, and blank scratch paper.

• Allowed tools during the exam: blank scratch paper, ruler, compass, and eraser.

• Prohibited items: calculators, smartwatches, phones, electronic devices, protractors, or graph paper.

• After the exam, students must submit the answer sheet and exam paper together; removing them from the room is not allowed.

• Do not discuss exam questions, answers, or solutions with anyone within 24 hours after the exam.

3. Academic Integrity Rules

• Students must take the exam independently. Impersonation, coaching, or assistance from others will be considered a violation, and the exam result will be invalid.

• Using books, notes, electronic devices, or copying from others constitutes academic misconduct; results will be voided.

• Students must complete personal matters before the exam and may not leave the room during the exam. Leaving the room will be treated as cheating.

• Any behavior affecting exam fairness will be penalized.

4. Answer Sheet Instructions

• Use black gel pen for signature, mobile number, and answer writing sections; use 2B pencil for all other filling areas.

• Fill in the answer retention page on the last page of the exam.

• Do not write outside the designated areas; extraneous marks may cause the machine to reject the answer sheet.

• Do not use correction fluid, tape, or leave pencil debris after erasing; clean thoroughly to prevent scoring errors.

• If a wrong option is marked, erase it completely to avoid being counted as multiple selections.

• When signing the pledge, use black gel pen in block letters; do not use cursive.

• The student’s registered mobile number serves as the unique identifier. Fill and mark carefully to prevent invalid scores.

Scoring:

• Each correct answer: 1 point

• Incorrect or blank answer: 0 points

• Maximum score: 15 points

• Answers are integers from 0–999; fill leading zeros for numbers under three digits (e.g., 000, 001, 011). The machine reading determines the final score.

5. AIME II Pre-Exam Crash Course

For students preparing for AIME II, the release of AIME I past papers provides efficient pre-exam practice. Real exam simulations help understand difficulty levels and trends.

Target Students:

• Students who qualified for AIME and aim for high scores in AIME II

• Top-performing AMC10/12 students preparing in advance

Course Highlights:

• Real Exam Practice: Focus on representative problems, avoiding redundant drills.

• In-Depth Analysis: Learn underlying mathematical ideas, traps, and high-score strategies.

• Expert Instructors: Experienced competition coaches and top students guide preparation.

Course Schedule:

Instructor Background (Mr. Wang):

• Admitted to Shanghai Huayu High School, Shanghai High School, and Peking University

• Master’s degree (First Class) in Financial Statistics from London School of Economics (LSE)

• Winner of Allianz Data Analysis Competition

• Two years overseas work experience with extensive math competition background

Previous Achievements:

• 2024–2025: 20+ AMC students advanced to AIME; 3 DHRs; early applicants admitted to Caltech and Ivy League schools

• 2023–2024: 30+ AMC students advanced to AIME; 7 DHRs; 5 AIME scores above 10; 1 USAMO Silver Medalist ranked 33 nationally; multiple admissions to Ivy League and Oxbridge

• 2022–2023: 30+ AMC students advanced to AIME; 5 DHRs; 6 AIME scores above 10; several students admitted to top global math summer programs

As the 2026 AIME (American Invitational Mathematics Examination) approaches, the final stage of preparation becomes critical for students who have already secured qualification. With the AIME score weight in the USAMO/USAJMO qualification formula doubling from 10× to 20× in 2026, every single point now carries unprecedented significance.

This article provides a comprehensive overview of the 2026 AIME schedule, exam policies, difficulty structure, time management strategies, and in-exam techniques, helping students approach the competition with clarity and confidence.

I. 2026 AIME Schedule and Key Information

(1) Exam Dates and Format

The 2026 AIME will be administered in two separate sessions:

• AIME I: Thursday, February 6, 2026, 13:00–16:00

• AIME II: Wednesday, February 12, 2026, 13:00–16:00

Students may participate in only one of the two sessions.

(2) Exam Overview

• Exam duration: 3 hours

• Number of questions: 15 integer-answer questions

• Answer format: Integers from 000 to 999

• Scoring:

  • 1 point per correct answer

  • No penalty for incorrect or blank answers

  • Maximum score: 15

• Language: Bilingual (English and Chinese)

• Calculator policy: Calculators are strictly prohibited

(3) Major Weight Adjustment in 2026

The 2026 season introduces a significant rule update: the weight of AIME scores in USAMO and USAJMO qualification has doubled.

The updated formulas are:

• USAMO Index = AMC 12 Score + 20 × AIME Score

• USAJMO Index = AMC 10 Score + 20 × AIME Score

As a result, the AIME score now accounts for approximately two-thirds of the total qualification index, compared to about half in previous years. This change substantially elevates the strategic importance of AIME performance.

(4) Relationship to Other Math Competitions

• USAMO (USA Mathematical Olympiad)
  Comparable to China’s CMO; open only to U.S. citizens and permanent residents.

• AIME (American Invitational Mathematics Examination)
  A high-impact credential for U.S. college admissions. Scores of 7–10 are particularly competitive.

• AMC 10 & AMC 12
  Top 2.5% (AMC 10) and 5% (AMC 12) qualifiers are invited to AIME.

• AMC 8
  Designed to cultivate mathematical interest and problem-solving skills; often compared to domestic junior math competitions.

II. AIME Difficulty Structure and Time Management Strategy

AIME problems are known for their clear gradient of increasing difficulty. Developing a disciplined time allocation strategy is essential for achieving a strong score.

(1) Difficulty Breakdown and Recommended Strategy

(2) Time Allocation Principles

Although the average time per problem is 12 minutes, effective allocation should follow the principles of “tight early, flexible late” and “easy first, hard later.”

• Problems 1–5:
  Complete within 40 minutes. These are the most reliable scoring opportunities and should be solved carefully to avoid unnecessary errors.

• Problems 6–10:
  Allocate around 50 minutes. This section is critical for gaining a competitive edge and typically requires synthesizing multiple concepts.

• Problems 11–15:
  Reserve at least 30 minutes. Even partial progress on these problems can be valuable, and thoughtful attempts are encouraged.

III. In-Exam Techniques and Common Pitfalls

(1) Core Problem-Solving Techniques

• Pattern Exploration: Reduce complex problems to smaller cases and analyze numerical or structural patterns.

• Special Value Substitution: For equations or symmetry-based problems, test values such as 0, 1, or −1.

• Visual Aids:

  • Draw precise diagrams for geometry problems.

  • Use tables or tree diagrams for combinatorics problems.

• Symmetry Awareness: Symmetric structures often lead to integer or special-value answers, which can be used to validate results.

(2) Common Mistakes and How to Avoid Them

(3) Mindset and Psychological Readiness

AIME is widely regarded as a challenging competition. Even experienced contestants may find it difficult to solve every problem. When encountering difficult questions, remain calm and remember that even top scorers do not necessarily complete the entire paper.

Prioritize accuracy on solvable problems and recognize that partial success on challenging questions can still meaningfully impact the final score.

With only days remaining until the 2026 AIME, every day of preparation counts. Maintain a steady review rhythm and avoid excessive fatigue just before the exam. Ultimately, success in AIME depends not only on mathematical knowledge, but also on exam strategy, time management, and mental composure.