AMC8 Math Competition 2027 Prep Guide: Difficulty Analysis & Study Strategies

Looking at the difficulty of the AMC8 competition over the past two years, the overall difficulty of the 2026 exam has increased significantly! The questions are more comprehensive, and the depth of cognitive assessment has noticeably improved. By analyzing the difficulty breakdown of the 2026 AMC8 exam, we can predict the overall difficulty and question-setting direction for the new 2027 season. To successfully aim for awards and maintain high scores in the new season, it is crucial to understand the exam changes in advance and prepare scientifically!

2026 AMC8 Exam: Question-by-Question Knowledge Point Analysis

The AMC8 math competition consists of 25 questions covering five core mathematical modules: algebraic operations, geometry, word problems, combinatorial counting, and number theory. Each question is labeled with its corresponding knowledge point and difficulty level, categorized into four tiers: Easy, Medium, Harder, and Hardest.

01 Difficulty Distribution and Gradient Characteristics of AMC8 Questions

Overall Difficulty Distribution of AMC8 Questions

  • Easy questions: 11, accounting for 44%
  • Medium questions: 7, accounting for 28%
  • Harder questions: 5, accounting for 20%
  • Hardest questions: 2, accounting for 8%

02 Difficulty Gradient Pattern of AMC8 Questions

The difficulty of AMC8 questions increases significantly with the question number, following a strict "easy first, hard later" logic:

  • Questions 1-11: All are easy questions, with no medium or higher difficulty questions.
  • Questions 12-20: Primarily medium questions, with only one harder question interspersed (Question 16).
  • Questions 21-25: Enter the high-difficulty zone. These 5 questions include 3 harder questions and 2 hardest questions, serving as the core scoring differentiator for the entire exam.

Algebraic operations account for the highest proportion of the exam and form the foundational core of the AMC8.

Geometry and combinatorial counting have equal proportions and serve as the core carriers for medium and higher difficulty questions.

Word problems have the lowest proportion and only appear in basic and medium difficulty questions.

03 High-Frequency Core Knowledge Points in the 2026 AMC8 Exam

The knowledge points that repeatedly appear and are tested most frequently across the entire AMC8 exam are concentrated in three main areas:

  • Basic Operations: Basic arithmetic and percentage applications each appear twice, serving as the core testing points for basic questions.
  • Number Theory: Factor applications, prime numbers + divisibility, pure number theory, and number theory + counting combinations appear a total of 4 times, forming the core testing points for medium-to-high difficulty questions.
  • Counting & Probability: Basic counting, circular permutations, classical probability, and probability + counting combinations appear a total of 4 times, acting as the core comprehensive carriers for high-difficulty questions.
  • Plane Geometry: Ranging from basic triangle and rectangle areas to advanced comprehensive plane geometry, butterfly models + Pythagorean theorem, appearing a total of 5 times. This is the most comprehensively covered knowledge module in the exam, spanning from basic to hardest questions.

04 AMC8 Math Competition Exam Content (Standard Version)

05 Don't Blindly Chase "Hard Questions": The Core to Winning Awards is Securing the Points You Should Get

The 2026 AMC8 exam has already shown us: the first 11 basic questions and the 12-20 medium questions are the foundation for winning awards.

  • Zero errors on the first 10 questions (easy) is the baseline for winning an award.
  • Stably solving 6-7 questions from 12-20 (medium/harder) determines whether you can enter the top 5%.
  • Questions 21-25 (harder/hardest): Prioritize tackling 1-2 questions. Strategically skip the rest to avoid wasting time and making mistakes on the first 20 questions.

AMC8 Math Competition Award Target Reference Table

AMC8 Global Top 1% (Honor Roll)

Target Score: 23-25 points

How many questions need to be answered correctly?

Answer all of the first 20 questions correctly, and get 3-4 correct from questions 21-25. Requires systematic training in number theory, combinatorics, and comprehensive geometry hard problems.

AMC8 Global Top 10% (Distinguished Honor Roll):

Target Score: 19-22 points

How many questions need to be answered correctly?

Answer all of the first 15 questions correctly, get 3-4 correct from questions 16-20, and get 1 correct from questions 21-25.

AMC8 Global Top 25% (Achievement Roll):

Target Score: 15-18 points

How many questions need to be answered correctly?

Answer all of the first 10 questions correctly, get 3-4 correct from questions 11-15, and strategically skip the harder questions after question 16.

Phased High-Efficiency AMC8 Preparation Plan: Follow It Directly!

01 AMC8 Foundation Building Phase: Complete the Knowledge System

Master elementary to middle school foundational knowledge points and eliminate knowledge gaps.

Clear blind spots by module, aligning with the testing points from the 2026 past papers to fill gaps.

  • Algebraic Operations: Basic arithmetic, percentage/fraction applications, factors/primes/divisibility, mean/median, radical calculations.
  • Geometry: Triangle properties, rectangle/circle areas, arc length, 3D geometry surface area, Pythagorean theorem.
  • Word Problems: Distance/speed/time, drainage/work problems, meeting problems.
  • Combinatorial Counting: Basic counting, logical reasoning, classical probability.

Practice the first 15 questions from the past 10 years of AMC8 exams without a time limit. The goal is an accuracy rate of 95% or higher.

02 AMC8 Topic Breakthrough Phase: Conquer Medium Questions

Target high-frequency difficult modules and resolve point-loss areas in questions 12-20.

Focus on modules where difficulty increased in 2026:

  • Number Theory: Prime factorization, GCD/LCM, integer properties, number theory + counting combinations.
  • Combinatorial Counting: Circular permutations, probability + counting combinations, number theory + counting.
  • Comprehensive Geometry: Plane geometry figure relationships, 3D geometry nets/surface area, butterfly model + Pythagorean theorem.

Practice questions 11-20 from the past 10 years of exams by module, under timed conditions.

03 AMC8 Sprint & Mock Exam Phase: Adjust Answering Strategies

Full-scale mock exams to optimize question order and time allocation.

Use the past 5 years of real exams, strictly limiting yourself to 40 minutes to simulate the actual exam environment completely.

Goal: Complete the first 10 questions within 10 minutes, questions 11-20 within 20 minutes, and leave 10 minutes to check and tackle the 1-2 most confident questions from 21-25.


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2026 AMC 10 Math Competition: Registration Dates, Rules, Cutoffs & Prep Guide

Preparation for the 2026 AMC 10 math competition is now in full swing! When are the registration and exam dates? Let's dive into the details.

01 2026 AMC 10 Registration & Exam Schedule

The AMC 10 is typically held in November each year. It is divided into two versions, A and B. Each exam lasts 75 minutes. Both versions have equivalent difficulty and cover the exact same scope of topics. Students may choose to take either version or register for both. Below is the recent schedule for the China region for reference.

Item Time
AMC 10 Version A Registration Deadline Late October (October 27, 2025)
AMC 10 Version B Registration Deadline Early November (November 9, 2025)
AMC 10 Version A Exam Date Early November, 17:00-18:15 (75 minutes, offline only)
AMC 10 Version B Exam Date Mid-November, 17:00-18:15 (Approximately one week after Version A)
2026 Score Inquiry & E-Certificate Download 6-8 weeks after the exam. Exact dates will be notified via registration channels.

The official 2026 AMC 10 dates have not yet been released. You can refer to the historical schedule above for planning.

  • AMC 10 Version A Registration Deadline: Late October (October 27, 2025)
  • AMC 10 Version B Registration Deadline: Early November (November 9, 2025)
  • AMC 10 Version A Exam: Early November, 17:00-18:15 (75 minutes, fully offline)
  • AMC 10 Version B Exam: Mid-November, 17:00-18:15 (About a week after Version A)
  • 2026 Score Release & Certificate Download: 6-8 weeks post-exam, notified via registration channels

02 AMC 10 Eligibility & Exam Rules

AMC 10 Eligibility:

The AMC 10 is exclusively for students in grade 10 and below (equivalent to high school freshman year or below in China), and participants must be under 17.5 years old on the day of the exam.

Generally, students in grades 7-10 participate most frequently. However, if a 6th grader has a solid foundation and a strong interest in mathematics, they can also plan ahead to prepare for the AMC 10, laying a strong foundation for future high scores.

AMC 10 Exam Format:

Offline examination, individual competition, with bilingual (Chinese/English) test papers.

AMC 10 Question Format:

25 multiple-choice questions. Each correct answer is worth 6 points, unanswered questions earn 1.5 points, and incorrect answers receive 0 points. The maximum score is 150.

AMC 10 Scoring Rules:

The exam consists of 25 multiple-choice questions to be completed in 75 minutes. The scoring standard is: +6 for a correct answer, +1.5 for a blank answer, and 0 for an incorrect answer, with a maximum of 150 points. Students are encouraged to manage their time wisely and avoid losing points due to blind guessing.

Item Details
Eligibility Grade 10 and below; must be under 17.5 years old on exam day
Format Offline, individual competition, bilingual test papers
Question Type 25 multiple-choice questions; 6 pts correct, 1.5 pts blank, 0 pts wrong; max 150
Scoring Rules +6 correct, +1.5 blank, 0 wrong; max 150 points

03 AMC 10 Difficulty Compared to Domestic Math

The AMC 10 difficulty level is equivalent to advanced middle school mathematics plus foundational high school mathematics in China. The difficulty ranking is: Middle School Math League < AMC 10 < High School Math League (First Round). The final questions approach the difficulty of the High School League First Round.

AMC 10 Difficulty Positioning: Middle School Math League < AMC 10 < High School Math League (First Round)

School Curriculum Overlap: 70% of the topics overlap with domestic middle school math, while 30% cover high school required courses (sequences, permutations & combinations, advanced number theory).

As long as a student has a solid middle school math foundation and can handle challenging high school entrance exam problems, they can start preparing for the AMC 10 even without completing high school math. There is no need to worry about falling behind.

The AMC 10 is not exclusively for top-tier students. Students with average proficiency can gradually catch up by dedicating time to practice and adapting to the question formats. Furthermore, preparing for the AMC 10 can conversely improve domestic math performance and enhance mathematical thinking, achieving two goals at once.

04 AMC 10 Awards & Cutoff Scores

AMC 10 Award Categories:

  • Perfect Score Award: Achieving a full score of 150
  • Distinguished Honor Roll (DHR): Top 1% globally
  • Honor Roll (HR): Top 5% globally
  • Top 10% Honor Roll: Top 10% globally
  • Top 25% Honor Roll: Top 25% globally
  • Achievement Roll: Scoring 90+ for students in grade 8 and below
  • AIME Qualification Certificate: Reaching the seasonal AIME cutoff (typically top ~2.5% globally)

AMC 10 Historical Cutoff Scores:

Year Version Top 1% Cutoff Top 5% Cutoff AIME Qualification Cutoff
2025 A 135 111 105
2025 B 132 108 103.5
2024 A 132 105 94.5
2024 B 126 102 96
2023 A 121.5 100.5 93
2023 B 120 99 94.5

The 2025 AMC 10 cutoff scores saw a comprehensive increase, with a remarkable phenomenon where the AMC 12 Version A Top 1% cutoff required a perfect score of 150. This marks a highly competitive phase for this global mathematics competition.

Not only have the top-tier award cutoffs risen, but the AIME qualification thresholds have also surged across the board. For instance, the AMC 10 Version A qualification line jumped from 94.5 to 105. Therefore, to secure a ticket to the next stage, students must demonstrate higher and more consistent performance levels. Taking the exam without preparation is highly unlikely to yield results.

Given this intense competition, why still take the AMC 10? Because the AMC is worth the effort. Let's explore the reasons below.

05 Why Participate in the AMC 10?

1. International Recognition & College Admissions Advantage

Boost for Top University Applications: Highly valued by prestigious institutions. Ivy League schools (e.g., Harvard, MIT, Stanford) and UK G5 universities (e.g., Oxford, Cambridge) place significant emphasis on AMC 10 scores during admissions. Outstanding results (such as qualifying for AIME in the top 2.5%) can significantly enhance application competitiveness. Some university application systems even feature dedicated sections for AMC scores.

Domestic Education Support: In domestic education pathways, AMC 10 scores serve as strong proof of mathematical ability. Many top international schools in China (e.g., Shanghai World Foreign Language Academy, Beijing Keystone Academy) directly use AMC 10 past papers or similar questions in their entrance exams. High scorers may qualify for written exam waivers or receive interview bonus points.

2. Enhance Mathematical Literacy & Cognitive Skills

The AMC 10 covers core mathematical domains including algebra, geometry, number theory, and combinatorics. Unlike domestic drill-based competitions, it is jointly designed by experts from top institutions like Harvard, MIT, and Princeton. It emphasizes logical reasoning, flexible application, and problem-solving in unfamiliar contexts. Through preparation and participation, students deepen their understanding of foundational math and cultivate the ability to apply knowledge flexibly to solve complex problems.

3. Competition Pathway & Advancement Opportunities

The AMC 10 serves as the cornerstone for higher-level math competitions. Students in the top 2.5% qualify for the AIME (American Invitational Mathematics Examination), opening pathways to the USAMO (USA Mathematical Olympiad) and ultimately the IMO (International Mathematical Olympiad). This provides a clear progression route for students aspiring to pursue mathematics.

4. Accumulate Experience & Build Confidence

For students in grades 7-10, the AMC 10 is a relatively accessible competition with ample time for multiple attempts to gain experience and gradually improve scores. Achieving excellent results boosts students' confidence and academic motivation, laying a psychological foundation for future academic and career development.

Whether you are a first-time participant or aiming for higher awards, once you decide to compete, avoid a just trying it out mindset. Start planning earlier and engage in systematic, in-depth training.

06 Recommended Preparation Pathways

Structured preparation programs are available to suit different foundational levels and goals. Below are common training frameworks designed for grades 6-10:

Pre-AMC 10 Foundation Program (120 hours)

Target Audience: Students transitioning from grade 6 to 7, 7 to 8, or 8 to 9 with a weak foundation or first-time exposure to AMC 10.

Core Objective: Focuses on building foundational skills. Beyond test prep, it enhances overall mathematical proficiency, ensuring a smooth transition from middle school math to AMC 10. It establishes a competition knowledge framework and solidifies basics for future advanced training.

AMC 10 Core Program (50 hours)

Target Audience: Grades 7-10 students with a middle school math foundation but weak competition knowledge or specific knowledge gaps.

Core Objective: Systematically reviews core topics across the four main modules, builds a complete competition framework, and cultivates competition mindset. Helps students quickly adapt to AMC 10 difficulty and lays a solid foundation for intensive prep.

AMC 10 Advanced Program (30 hours)

Target Audience: Grades 8-10 students with a solid foundation, mastery of core topics, and a goal of reaching the global top 5% or conquering mid-range problems.

Core Objective: Targets high-frequency difficult points, teaches cross-module comprehensive problem-solving techniques, and focuses on questions 16-20. Aims to improve solving speed and accuracy to build momentum for high scores.

AMC 10 Sprint Program (30 hours)

Target Audience: Students 1-2 months before the exam, with a solid foundation, aiming for the global top 1% or AIME qualification.

Core Objective: Full-length mock exams under timed conditions to master pacing. Detailed review of mistakes to break through high-frequency error points. Explains strategies for final challenging questions to ensure stable AIME qualification and high-score pursuit.

1-on-1 Customized Program (Flexible)

Target Audience: Students needing targeted remediation for weak areas, personalized guidance for top-score goals, or flexible scheduling due to tight timelines.

Core Objective: Exclusively tailored study plans that precisely address individual weaknesses. Provides continuous one-on-one tutoring for efficient score improvement, adapting to each student's prep pace and goals.

Program Formats: Small groups (3-8 students) / 1-on-1 / Rolling enrollment

Instruction Language: Bilingual (Chinese/English) / Full English

Delivery Mode: Online / Offline synchronous learning

Flexible learning modes are available to accommodate different locations and schedules.


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AMC8 Math Competition 2026-2027: Difficulty Analysis & Preparation Guide

Looking at the difficulty of the AMC8 competition over the past two years, the overall difficulty of the 2026 exam has increased significantly! The questions are more comprehensive, and the depth of cognitive assessment has noticeably improved. By analyzing the difficulty breakdown of the 2026 AMC8 exam, we can also predict the overall difficulty and question-setting direction for the 2027 season. To successfully aim for awards and maintain high scores in the new season, it is crucial to understand the exam changes in advance and prepare scientifically!

Is the AMC8 Math Competition Difficult? How to Prepare Efficiently for the New Season?

Question-by-Question Knowledge Point Analysis of the 2026 AMC8 Exam

The AMC8 math competition consists of 25 questions, covering five core mathematical modules: algebra, geometry, word problems, combinatorics/counting, and number theory. Each question is tagged with its corresponding knowledge point and difficulty level, categorized into four tiers: Easy, Medium, Hard, and Very Hard.

01 Difficulty Distribution and Gradient Characteristics of AMC8 Questions

Overall Difficulty Distribution of AMC8 Questions

  • Easy: 11 questions (44%)
  • Medium: 7 questions (28%)
  • Hard: 5 questions (20%)
  • Very Hard: 2 questions (8%)

02 Difficulty Gradient Pattern of AMC8 Questions

The difficulty of AMC8 questions increases significantly with the question number, following a strict "easy-to-hard" progression:

  • Questions 1-11: All easy questions, with no medium or higher difficulty questions.
  • Questions 12-20: Primarily medium difficulty, with only one hard question interspersed (Question 16).
  • Questions 21-25: Enters the high-difficulty zone. These 5 questions include 3 hard and 2 very hard questions, serving as the core score-differentiating section of the exam.

Algebra is the most heavily weighted module on the exam and serves as the foundational core of the AMC8.

Geometry and combinatorics/counting have equal weight and are the primary vehicles for medium-to-high difficulty questions.

Word problems have the lowest weight and only appear in the easy and medium difficulty sections.

03 High-Frequency Core Knowledge Points in the 2026 AMC8 Exam

The most frequently tested knowledge points across the entire AMC8 exam are concentrated in three main areas:

  • Basic Operations: Basic arithmetic and percentage applications each appear twice, forming the core focus of easy questions.
  • Number Theory: Factor applications, prime numbers + divisibility, pure number theory, and number theory + counting combinations appear a total of 4 times, serving as core testing points for medium-to-high difficulty questions.
  • Counting & Probability: Basic counting, circular permutations, classical probability, and probability + counting combinations appear 4 times in total, acting as the primary comprehensive vehicle for high-difficulty questions.
  • Plane Geometry: Ranging from basic triangle and rectangle areas to advanced comprehensive plane geometry, butterfly models, and the Pythagorean theorem, this topic appears 5 times. It is the most comprehensively covered module on the exam, spanning from easy to very hard questions.

04 AMC8 Math Competition Exam Content (Standard Version)

05 Don't Blindly Chase "Hard Questions": The Key to Winning Awards is Securing the Points You Should Get

The 2026 AMC8 exam has already shown us: the first 11 easy questions and the medium-difficulty questions 12-20 form the foundation for winning awards.

  • Zero mistakes on the first 10 questions (easy) is the baseline for winning an award.
  • Consistently solving 6-7 questions from 12-20 (medium/hard) determines whether you can break into the top 5%.
  • Questions 21-25 (hard): Prioritize solving 1-2 questions. Strategically skip the rest to avoid wasting time and making mistakes on the first 20 questions.

AMC8 Award Target Score Reference

Target: Global Top 1% (Honor Roll)
Target Score: 23-25
How many questions need to be answered correctly?
Answer all of the first 20 questions correctly, plus 3-4 from questions 21-25. Requires systematic training in number theory, combinatorics, and comprehensive geometry hard problems.

Target: Global Top 10% (Distinguished Honor Roll)
Target Score: 19-22
How many questions need to be answered correctly?
Answer all of the first 15 questions correctly, 3-4 from 16-20, and 1 from 21-25.

Target: Global Top 25% (Achievement Roll)
Target Score: 15-18
How many questions need to be answered correctly?
Answer all of the first 10 questions correctly, 3-4 from 11-15, and strategically skip questions after 16.

Phased High-Efficiency AMC8 Preparation Plan: Follow It Directly!

01 Phase 1: Foundation Building – Complete the Knowledge System

Master elementary to middle school foundational knowledge points and eliminate blind spots.

Clear knowledge gaps module by module, aligning with the testing points from the 2026 past papers.

  • Algebra: Basic operations, percentage/fraction applications, factors/primes/divisibility, mean/median, radical calculations.
  • Geometry: Triangle properties, rectangle/circle area, arc length, 3D geometry surface area, Pythagorean theorem.
  • Word Problems: Distance/speed/time, work/drainage, meeting problems.
  • Combinatorics & Counting: Basic counting, logical reasoning, classical probability.

Practice the first 15 questions from the past 10 years of AMC8 exams without a time limit, aiming for an accuracy rate of ≥95%.

02 Phase 2: Topic Breakthrough – Conquer Medium-Difficulty Questions

Target high-frequency difficult modules to address point-loss areas in questions 12-20.

Focus on modules that saw increased difficulty in 2026.

  • Number Theory: Prime factorization, GCD/LCM, integer properties, number theory + counting combinations.
  • Combinatorics & Counting: Circular permutations, probability + counting combinations, number theory + counting.
  • Comprehensive Geometry: Plane geometry figure relationships, 3D geometry nets/surface area, butterfly model + Pythagorean theorem.

Practice questions 11-20 from the past 10 years' exams by module, under timed conditions.

03 Phase 3: Sprint & Mock Exams – Adjust Answering Strategies

Full-length mock exams to optimize question order and time allocation.

Strictly complete past 5 years' exams within 40 minutes to fully simulate the exam environment.

Goal: Finish the first 10 questions in 10 minutes, questions 11-20 in 20 minutes, leaving 10 minutes to review and tackle the 1-2 most confident questions from 21-25.

AMC8 Math Competition Training Curriculum Syllabus

AMC8 Math Competition Training Service Process

Supports both offline small-group classes and online live-streamed tutoring simultaneously, meeting the scheduling needs of different families with greater flexibility.

Two Instructional Formats: Online Live Streaming + Offline In-Person Classes

Offline Campus Locations

The headquarters is located in Shanghai, with offline campuses in Huangpu, Pudong, Xuhui, and Minhang. Additionally, offline campuses are available in Beijing (Haidian/Guomao/Shunyi), Shenzhen (Futian/Nanshan), Guangzhou, Hangzhou, Suzhou, Hefei, Changzhou, Chengdu, Nanjing, Wuhan, Wuxi, Ningbo, Qingdao, Chongqing, Tianjin, Hong Kong, Singapore, and the United States. Students can attend classes at the nearest campus based on their location or opt for online courses to access headquarters-level instructors.

Historical AMC8 Training Results Summary

Training Results for 2021, 2022, 2023, 2024, 2025, and 2026.


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AMC8 Math Competition: 2026 Exam Analysis & 2027 Preparation Guide

Looking at the difficulty trends of the AMC8 competition over the past two years, the overall difficulty of the 2026 exam has increased significantly. The questions are more comprehensive, and the depth of logical reasoning required has noticeably improved. By analyzing the difficulty breakdown of the 2026 AMC8 exam, we can also predict the overall difficulty and question trends for the upcoming 2027 season. To successfully aim for awards and maintain high scores in the new season, it is crucial to understand these exam changes in advance and prepare scientifically.

2026 AMC8 Exam: Question-by-Question Knowledge Point Analysis

The AMC8 math competition consists of 25 questions covering five core mathematical modules: algebra, geometry, word problems, combinatorics/counting, and number theory. Each question is tagged with its corresponding knowledge point and difficulty level, categorized into four tiers: Easy, Medium, Hard, and Very Hard.

01. Difficulty Distribution and Gradient Characteristics

Overall Difficulty Breakdown

  • Easy questions: 11 (44%)
  • Medium questions: 7 (28%)
  • Hard questions: 5 (20%)
  • Very Hard questions: 2 (8%)

02. Difficulty Gradient Pattern

The difficulty of AMC8 questions increases significantly with the question number, following a strict "easy-to-hard" progression:

  • Questions 1–11: All are easy questions, with no medium or harder difficulty levels.
  • Questions 12–20: Primarily medium difficulty, with only one hard question interspersed (Question 16).
  • Questions 21–25: Enter the high-difficulty zone. These 5 questions include 3 hard and 2 very hard questions, serving as the core scoring differentiator for the entire exam.

Key Module Insights:

  • Algebra: The most heavily weighted module, forming the foundational core of the AMC8.
  • Geometry & Combinatorics: Hold equal weight and serve as the primary vehicles for medium-to-hard questions.
  • Word Problems: Have the lowest proportion, appearing only in basic and medium-difficulty questions.

03. High-Frequency Core Knowledge Points (2026 Exam)

The most frequently tested knowledge points across the AMC8 exam concentrate on four main areas:

  • Basic Operations: Fundamental arithmetic and percentage applications each appear twice, forming the core of basic questions.
  • Number Theory: Factor applications, prime numbers & divisibility, pure number theory, and number theory combined with counting appear a total of 4 times, serving as the core考点 for medium-to-hard questions.
  • Counting & Probability: Basic counting, circular permutations, classical probability, and probability combined with counting appear 4 times, acting as the core comprehensive vehicle for high-difficulty questions.
  • Plane Geometry: Ranging from basic triangle and rectangle areas to advanced comprehensive plane geometry, the butterfly model, and the Pythagorean theorem. This appears 5 times, making it the most comprehensively covered module across all difficulty levels.

04. Standard AMC8 Competition Content

The AMC8 curriculum aligns with middle school mathematics, covering arithmetic, algebra, geometry, counting/probability, and number theory. Students are expected to apply these concepts to solve non-routine problems under timed conditions.

05. Don't Blindly Chase "Hard Questions": The Key to Winning is Securing the Points You Should Get

The 2026 AMC8 exam clearly demonstrates that the first 11 basic questions and the 12–20 medium questions form the foundation for earning awards.

  • Questions 1–10 (Easy): Zero mistakes here is the baseline for winning any award.
  • Questions 12–20 (Medium/Hard): Consistently solving 6–7 of these determines whether you can break into the top 5%.
  • Questions 21–25 (Hard/Very Hard): Prioritize solving 1–2 of these. Strategically skip the rest to avoid wasting time and making careless errors on the first 20 questions.

AMC8 Award Target Score Breakdown

Global Top 1% (Distinguished Honor Roll)
Target Score: 23–25
Questions to Answer Correctly: All of the first 20 questions correct, plus 3–4 from questions 21–25. Requires systematic training in number theory, combinatorics, and advanced geometry.

Global Top 5% (Honor Roll)
Target Score: 19–22
Questions to Answer Correctly: All of the first 15 questions correct, 3–4 from questions 16–20, and 1 from questions 21–25.

Global Top 25% (Certificate of Achievement)
Target Score: 15–18
Questions to Answer Correctly: All of the first 10 questions correct, 3–4 from questions 11–15, and strategically skip difficult questions after question 16.

Phased AMC8 Preparation Plan: Follow This Directly!

Phase 1: Foundation Building – Complete the Knowledge System

Master elementary to middle school foundational concepts and eliminate knowledge gaps. Conduct module-by-module reviews aligned with the 2026 exam's tested points.

  • Algebra: Basic operations, percentage/fraction applications, factors/primes/divisibility, mean/median, radical calculations.
  • Geometry: Triangle properties, rectangle/circle areas, arc length, 3D geometry surface area, Pythagorean theorem.
  • Word Problems: Distance/speed/time, drainage/work problems, meeting/overtaking problems.
  • Combinatorics & Counting: Basic counting principles, logical reasoning, classical probability.

Practice the first 15 questions from the past 10 years of AMC8 exams without a time limit. Aim for an accuracy rate of ≥95%.

Phase 2: Topic Breakthrough – Conquer Medium Questions

Target high-frequency difficult modules to eliminate point losses in questions 12–20. Focus on the modules that saw increased difficulty in 2026.

  • Number Theory: Prime factorization, GCD/LCM, integer properties, number theory combined with counting.
  • Combinatorics & Counting: Circular permutations, probability combined with counting, number theory combined with counting.
  • Comprehensive Geometry: Relationships between plane geometric figures, 3D geometry nets/surface area, butterfly model + Pythagorean theorem.

Practice questions 11–20 from the past 10 years of exams by module, under timed conditions.

Phase 3: Sprint & Mock Exams – Optimize Test-Taking Strategy

Conduct full-length mock exams to optimize question order and time allocation.

Use the past 5 years of real exams, strictly limiting yourself to 40 minutes to simulate the actual testing environment.

Time Management Goal: Complete questions 1–10 within 10 minutes, questions 11–20 within 20 minutes, and reserve 10 minutes for checking and tackling the 1–2 most confident questions from 21–25.

 


 

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Understanding AMC 8, 10, 12 & AIME: Cutoffs, Rules, and Competition Guide

This year's AMC 8 score release features significant changes, including the addition of a Top 25% cutoff score. For the first time, the China region has used two different exam papers with distinct cutoff scores.

The Asdan online exam aligns with North American cutoffs, requiring a score of 24 for the Global Honor Roll of Distinction (Top 1%). The offline exam administered by the China Committee is slightly more challenging, with a lower cutoff of 22 for the Top 1% award.

Overall, cutoff scores are trending upward, indicating increasingly fierce competition.

The 2026 AMC 8 cutoff scores for the China Committee version, Asdan version, and Taiwan version have been released.

The 2026 AIME qualification cutoffs have also been announced.

This serves as a reminder for students planning to participate in the upcoming AMC season: start preparing early to aim for high scores, increase your chances of winning awards, and strengthen your academic profile.

 

What Are the Different MAA AMC Competitions?

The AMC series offers tiered competitions for different grade levels: AMC 8, AMC 10, AMC 12, and the advanced AIME.

Both AMC 10 and AMC 12 are divided into Version A and Version B. The only difference between the two versions is the exam date.

 

AMC 8

The AMC 8 is an excellent pathway for younger students to engage with mathematical problem-solving beyond the standard school curriculum. Students who enjoy the AMC 8 often progress to the AMC 10 and AMC 12.

Overview: The AMC 8 consists of 25 multiple-choice questions to be completed in 40 minutes. It is designed for students in grade 8 and below. Topics cover middle school mathematics, including counting and probability, estimation, proportional reasoning, elementary geometry (including the Pythagorean theorem), spatial visualization, and graph interpretation. Some problems may involve introductory algebra, such as linear and quadratic functions and coordinate geometry.

Eligibility: Students in grade 8 and below, under 15.5 years of age on the day of the competition.

Exam Date: Held annually in January over a one-week period. Each student may take the AMC 8 only once per year.

 

AMC 10

The AMC 10 provides students with opportunities to develop advanced problem-solving skills.

Overview: The AMC 10 features 25 multiple-choice questions with a 75-minute time limit, designed for students in grade 10 and below. Content covers elementary algebra, basic geometry, area and volume formulas, elementary number theory, and elementary probability. Advanced topics such as trigonometry, higher algebra, and advanced geometry are excluded.

The AMC 10 offers Version A and Version B. Schools or organizers can choose the most suitable date, or students may take both versions.

Eligibility: Students in grade 10 and below, under 17.5 years of age on the day of the competition.

Exam Date: Held annually in November, on the same dates as the AMC 12. Students cannot take both the AMC 10 and AMC 12 on the same day.

 

AMC 12

The AMC 12 aims to further enhance students' mathematical problem-solving abilities. It is primarily targeted at high school students up to grade 12.

Overview: The AMC 12 consists of 25 multiple-choice questions with a 75-minute time limit, designed for students in grade 12 and below. The exam covers the entire high school mathematics curriculum, including trigonometry, advanced algebra, and advanced geometry. Calculus is excluded.

Like the AMC 10, the AMC 12 offers Version A and Version B. Organizers can select the preferred date, or students may participate in both.

Eligibility: Students in grade 12 and below, under 19.5 years of age on the day of the competition.

Exam Date: Held annually in November, concurrent with the AMC 10. Students cannot take both exams on the same day.

 

2025 AMC 10/12 Award Structure Updates

Please note the following changes to the AMC 10/12 award categories this year:

  • New Awards Added:
    • Top 10% Honor Roll (Global)
    • Top 25% Honor Roll (Global)
  • Existing Awards Remain Unchanged: The Perfect Score, Honor Roll of Distinction (Top 1%), Distinction (Top 5%), Achievement Roll, and AIME Qualification certificates remain the same.

 

Recommended International Mathematics Competitions

Participating in international middle and high school math competitions can significantly enhance a student's academic profile. With numerous options available, how should students and parents choose beyond the AMC series? Below is a curated list by grade level.

 

Elementary School Level

  • Australian Mathematics Competition (AMC) - Level A: Targeted at grades 3-4. Features five difficulty levels to ensure fair competition across ages. Low difficulty, ideal for beginners. Time: Typically held in August-September annually.
  • Australian Mathematics Competition (AMC) - Level B: Targeted at grades 5-6. Low-to-medium difficulty with a slight challenge, focusing on foundational math skills. Time: Typically held in August-September annually (alongside Level A).
  • Math Kangaroo: Covers grades 1-12 (Elementary corresponds to grades 1-6). Features engaging, real-world problems designed to cultivate mathematical thinking and interest. Low-to-medium difficulty, perfect for elementary enrichment. Time: Fixed annually in mid-to-late March.

 

Middle School Level

  • Junior Mathematical Challenge (JMC): Targeted at grades 7-8 (UK Year 7-8). Introductory level focusing on basic math application and logical reasoning. Low difficulty, designed to spark interest in competitions. Time: April 30, 2026 (Thursday) 17:00-18:00 (60 mins). Registration Deadline: April 21, 2026.
  • Junior Mathematical Olympiad (JMO): Targeted at grades 7-8 (requires high JMC scores to qualify). Medium-to-high difficulty, emphasizing mathematical proofs and deep thinking. Serves as an advanced selection round following the JMC. Time: June 10, 2026 (Wednesday) 17:00–19:00. Registration Deadline: June 1, 2026.
  • Australian Mathematics Competition (AMC) - Level C: Targeted at grades 7-8. Medium difficulty, emphasizing fair competition and testing mastery and application of mathematical knowledge. Time: Typically held in August-September annually.
  • Intermediate Mathematical Challenge (IMC): Targeted at grades 9-10 (UK Year 9-10). Medium difficulty, focusing on comprehensive application of core middle school topics like algebra and geometry. Acts as a bridge to high school competitions. Time: Typically held in January-February annually.
  • Math Kangaroo: Middle school division corresponds to grades 7-9. Problems are practical and engaging with medium difficulty, suitable as an introductory enrichment for middle school math. Time: Fixed annually in mid-to-late March.

 

High School & Advanced Level

  • Duke Math Meet (DMM): Targeted at grades 9-12. Medium-to-high difficulty, featuring classical and standardized test-level problems. Suitable for students with some competition experience. Time: Typically held in February-March annually (online/offline).
  • Euclid Mathematics Contest: Open to all high school grades. High difficulty, emphasizing innovation and comprehensive problem-solving. Often regarded as a high-level benchmark for university admissions. Time: Typically held in March-April annually.
  • Harvard-MIT Mathematics Tournament (HMMT) - February Round: Targeted at outstanding high school students. Extremely high difficulty, heavily challenging mathematical and analytical skills. Highly recognized by STEM-focused universities. Time: Fixed annually in February (November round also available).
  • International Mathematical Olympiad (IMO): Targeted at grades 8-11 (national team selection). The pinnacle of global math competitions, requiring exceptional foundational knowledge and problem-solving abilities. Often referred to as the Math Olympics. Time: Typically held in July annually, lasting about one week.
  • Math Kangaroo: High school division corresponds to grades 10-12. Medium-to-high difficulty, focusing on logic and problem-solving techniques, suitable for high school math enrichment. Time: Fixed annually in mid-to-late March (global synchronization).

 


 

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AMC8 Math Competition: Difficulty Analysis & Strategic Preparation Guide for the New Season

Based on recent trends, the overall difficulty of the AMC8 exam has significantly increased. The 2026 exam featured more comprehensive question types and a deeper assessment of mathematical thinking. By analyzing the 2026 exam, we can predict the difficulty and direction for the upcoming season. To secure awards and maintain high scores, understanding these changes and preparing scientifically in advance is crucial.

01. Difficulty Distribution & Gradient Characteristics

Overall Difficulty Breakdown

  • Easy Questions: 11 (44%)
  • Medium Questions: 7 (28%)
  • Harder Questions: 5 (20%)
  • Hard Questions: 2 (8%)

Difficulty Gradient Pattern

The difficulty increases strictly with the question number, following a clear "easy-to-hard" progression:

  • Questions 1–11: All easy questions. No medium or harder questions appear.
  • Questions 12–20: Primarily medium difficulty, with only one harder question (Question 16).
  • Questions 21–25: High-difficulty zone. Contains 3 harder questions and 2 hard questions. This is the core scoring differentiator.

Algebraic operations make up the largest portion of the exam and form the foundation. Geometry and combinatorial counting are equally represented and serve as the core for medium-to-hard questions. Word problems have the lowest proportion and only appear in easy and medium questions.

02. High-Frequency Core Knowledge Points (2026 Exam)

The most frequently tested concepts across the exam fall into four main categories:

  • Basic Operations: Fundamental arithmetic and percentage applications each appeared twice, forming the core of easy questions.
  • Number Theory: Factor applications, prime numbers + divisibility, pure number theory, and number theory + counting combinations appeared 4 times in total, serving as key points for medium-to-hard questions.
  • Counting & Probability: Basic counting, circular permutations, classical probability, and probability + counting combinations appeared 4 times, acting as the core comprehensive carrier for high-difficulty questions.
  • Plane Geometry: Ranging from basic triangle and rectangle areas to advanced comprehensive geometry, butterfly models, and the Pythagorean theorem. Appeared 5 times, making it the most comprehensively covered module across all difficulty levels.

03. Standard AMC8 Exam Content Overview

The AMC8 covers a standard curriculum aligned with middle school mathematics, focusing on problem-solving, logical reasoning, and mathematical creativity across algebra, geometry, number theory, and combinatorics.

04. Strategic Approach: Secure Points Instead of Blindly Chasing Hard Problems

The 2026 exam clearly demonstrates that the first 11 easy questions and questions 12–20 are the foundation for winning awards.

  • Questions 1–10 (Easy): Zero mistakes are the baseline for any award.
  • Questions 12–20 (Medium/Harder): Consistently solving 6–7 of these determines whether you reach the top 5%.
  • Questions 21–25 (Harder/Hard): Prioritize solving 1–2 questions. Strategically skip the rest to avoid wasting time and making careless errors on the first 20 questions.

05. Award Target Breakdown & Question Strategy

Top 1% (Distinguished Honor Roll)
Target Score: 23–25 points
Strategy: Answer all of the first 20 questions correctly, and solve 3–4 of questions 21–25. Requires systematic training in advanced number theory, combinatorics, and comprehensive geometry.

Top 5% (Honor Roll)
Target Score: 19–22 points
Strategy: Answer all of the first 15 questions correctly, solve 3–4 of questions 16–20, and solve 1 of questions 21–25.

Top 25% (Certificate of Achievement)
Target Score: 15–18 points
Strategy: Answer all of the first 10 questions correctly, solve 3–4 of questions 11–15, and strategically skip questions after 16.

06. Phased Preparation Plan for AMC8

Phase 1: Foundation Building – Complete the Knowledge Framework

Master elementary and middle school fundamentals to eliminate knowledge gaps. Align your review with the 2026 exam's tested points.

  • Algebra: Basic operations, fractions/percentages, factors/primes/divisibility, mean/median, radical calculations.
  • Geometry: Triangle properties, rectangle/circle areas, arc length, 3D geometry surface area, Pythagorean theorem.
  • Word Problems: Distance/speed/time, work/drainage, meeting problems.
  • Combinatorics: Basic counting, logical reasoning, classical probability.

Practice the first 15 questions from the past 10 years of AMC8 exams without a time limit. Aim for an accuracy rate of ≥95%.

Phase 2: Topic Breakthrough – Master Medium-Difficulty Questions

Target high-frequency challenging modules to eliminate point losses in questions 12–20. Focus on the areas where difficulty increased in 2026.

  • Number Theory: Prime factorization, GCD/LCM, integer properties, number theory + counting combinations.
  • Combinatorics: Circular permutations, probability + counting, number theory + counting.
  • Comprehensive Geometry: Plane geometry relationships, 3D geometry nets/surface area, butterfly models + Pythagorean theorem.

Practice questions 11–20 from the past 10 years by module, using timed training sessions.

Phase 3: Sprint & Mock Exams – Optimize Test-Taking Strategy

Conduct full-length mock exams to refine question order and time management.

Use the past 5 years of official exams under strict 40-minute conditions to simulate the real testing environment.

Time Allocation Goal: Complete questions 1–10 within 10 minutes, questions 11–20 within 20 minutes, and reserve 10 minutes for reviewing answers and tackling the 1–2 most manageable questions from 21–25.

 


 

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2026 AMC8 Cutoff Scores: Complete Analysis & Award Thresholds

2026 AMC8 Cutoff Scores: Complete Analysis & Award Thresholds

The 2026 AMC8 cutoff scores for the China region have been officially released. The competition now utilizes a dual-cutoff system managed by ASDAN and the China Committee. The ASDAN version aligns with the North American cutoff scores, while the China Committee has established its own independent thresholds.

Let’s take a detailed look at the cutoff scores across all regions!

01: 2026 AMC8 All-Region Cutoff Scores Summary

This year, the China Committee has set independent cutoff scores. The ASDAN version remains consistent with the North American region. Both scoring systems are officially certified by the Mathematical Association of America (MAA). The certificates hold identical validity and only indicate the award level, without specifying the country or cutoff differences.

China Committee Cutoff Scores (Primary Reference)

  • Perfect Score: 25 points
  • Top 1% (Distinguished Honor Roll): 22 points
  • Top 5% (Honor Roll): 18 points
  • Top 10%: 16 points
  • Top 25%: 14 points
  • Achievement Roll: 15 points (Exclusively for students in Grade 6 and below)

It is worth noting that as the AMC8 gains increasing attention, the cutoff scores have been rising steadily year after year. This year, the Top 1% threshold in the US region has surged to 24 points, allowing only a single mistake and setting a new record for the past two decades. The Top 5% cutoff has also reached 21 points, breaking the 20-point barrier for the first time.

The intense competition highlights how highly competitive Chinese students have become in this arena.

The soaring cutoff scores also reflect a growing trend: more and more students are participating in this competition, and future competition will undoubtedly become even fiercer. This is largely because the AMC8 has become a crucial reference for families with specific academic goals, both domestically and internationally.

02: Complete Guide to the AMC8 Math Competition

Competition Overview

The AMC8 Math Competition, first held in 1985, is a mathematics contest designed for students in Grade 8 and below. It serves as the foundational stage of the comprehensive AMC competition series.

In China, the AMC8 has been adopted as an evaluation criterion by top-tier schools such as Shanghai's "San Gong" and Beijing's "Liu Xiao Qiang." This has prompted a significant number of students in Grades 4–6 to begin preparing and participating. Currently, the number of participants in China has nearly reached the historical levels of traditional domestic math olympiads.

Competition Rules

  • Exam Date: Generally held in late January each year.
  • Eligibility: Students in Grade 8 or below, and under 14.5 years of age on the day of the competition.
  • Duration: 40 minutes.
  • Format: 25 multiple-choice questions.
  • Scoring: 1 point for each correct answer, 0 points for incorrect or unanswered questions. Maximum score is 25.
  • Exam Location: The competition is administered through both online and offline formats. This allows students to take the exam from home or any suitable environment with a stable internet connection, eliminating the need to travel to a designated testing center.

Difficulty Level

The AMC8 is the most accessible competition within the AMC series, making it an ideal entry point for beginners. Its difficulty level is roughly equivalent to that of a Grade 6 math olympiad.

Among popular international math competitions for primary and middle school students, the AMC8 is more challenging than the Math Kangaroo and the Australian Mathematics Competition (AMC).

The exam consists of 25 multiple-choice questions, with difficulty progressively increasing from the beginning to the end of the test.

Tested Knowledge Areas

The AMC8 covers the complete primary school mathematics curriculum, along with select middle school topics and olympiad-level concepts. It is designed to comprehensively assess students' mathematical knowledge and problem-solving abilities.

The core knowledge areas are divided into four main categories: Algebra, Geometry, Applications, and Computation.

Registration Guide

Registration Policy: Since 2021, the AMC Math Competition no longer accepts individual or public registrations.

Students can only register through the following two official channels:

  • Method 1: School Registration
    If a student's school is an official ASDAN partner or designated testing center, the school will handle the registration process collectively.
  • Method 2: Authorized Agency Registration
    If the school is not an official testing center, students must register through an authorized partner agency. Please note that agency registration deadlines are typically earlier than the official cutoff date.

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The Ultimate Guide to the AMC 10 Math Competition: Format, Difficulty, and Preparation Tips

The AMC 10 Mathematics Competition is one of the most influential middle and high school math contests globally. Its scores are internationally recognized, making it a powerful testament to a student's mathematical ability and logical reasoning, whether they are pursuing an international academic path or aiming for top-tier universities.

In this guide, we will thoroughly break down what the AMC 10 is, its value, the topics and difficulty level, and which grade levels are best suited to participate.

What Is the AMC 10 Math Competition?

The AMC 10 is an international mathematics competition designed for students in grade 10 and below. Organized by the Mathematical Association of America (MAA), it serves as a stepping stone within the AMC 8/AMC 12 series and is roughly equivalent to the difficulty level of domestic junior high school math leagues.

  • Eligible Grades: Grade 10 and below (under 17.5 years old)
  • Exam Dates: November 6 and November 12, 2026
  • Format: Offline, individual written exam
  • Language: Bilingual (Chinese and English)
  • Question Type: 25 multiple-choice questions
  • Scoring System: +6 points for a correct answer, +1.5 points for an unanswered question, 0 points for an incorrect answer. Maximum score: 150.
  • Domestic Equivalent: Junior High School Math League

AMC 10 Award Categories

  • Perfect Score: Awarded for a flawless 150/150
  • Honor Roll of Distinction: Top 1% globally
  • Distinction: Top 5% globally
  • Top 10% Honor Roll: Top 10% globally (New)
  • Top 25% Honor Roll: Top 25% globally (New)
  • Achievement Roll: Score of 90 or higher for students in grade 8 and below

Is the AMC 10 Highly Valued?

A Boost for Top University Applications

In college admissions, AMC 10 scores serve as a significant differentiator, especially for students targeting elite institutions like MIT and Harvard. Many of these universities explicitly request AMC scores on their application portals.

Enhancing Academic Competitiveness

  • Selection for Elite High School Science Tracks: Prestigious schools use AMC 10 scores as a core criterion for their specialized science or technology classes. A score of 110+ often guarantees an interview invitation.
  • Early Admission Agreements with Key High Schools: Top-tier municipal high schools explicitly state that students in the top 25% (approximately 100 points) receive priority in independent admissions, with some schools offering conditional admission guarantees.
  • Peak Achievement for Middle School Competitions: The AMC 10 is one of the few high-value international competitions open to middle schoolers. Mastering advanced concepts early provides a significant competitive edge.
  • Advantage in International School Entrance Exams: Many international schools explicitly include AMC 10-level problems in their entrance exam syllabi. Some have directly used past AMC 10 questions in their math entrance tests.

What Does the AMC 10 Cover and How Difficult Is It?

Overall, the AMC 10 curriculum aligns primarily with the standard math syllabus for grades 9-10. The core topics are divided into four main areas: Algebra, Number Theory, Geometry, and Probability/Combinatorics. The difficulty increases progressively throughout the exam.

Compared to standard domestic math curricula, the AMC 10 places a heavier emphasis on Number Theory and Combinatorics, which are less frequently tested in traditional junior high leagues. Here is how the topics align with standard coursework:

  • Algebra: Quadratic equations, functions, inequalities, sequences (equivalent to domestic grades 9-10).
  • Geometry: Similar triangles, circle properties, solid geometry (equivalent to domestic grades 9-10).
  • Number Theory: Modular arithmetic, divisibility rules, prime factorization (rarely covered in standard domestic middle school; requires dedicated study).
  • Combinatorics & Probability: Permutations, combinations, probability models (equivalent to domestic grade 10).

Which Grade Levels Should Take the AMC 10?

We recommend that students in grades 7-10 prepare for the AMC 10. Students below grade 7 typically lack the necessary foundational knowledge. If younger students wish to participate, they should first solidify their school math curriculum and consider starting with the AMC 8.

Grades 7-8 (Middle School)

With a solid mathematical foundation, students in these grades can absolutely challenge the AMC 10. Many 7th and 8th graders achieve outstanding results annually. Participating at this stage exposes students to high school-level mathematical thinking early, laying a strong foundation for future studies.

Grades 9-10 (High School)

This is the prime window for taking the AMC 10. Students have typically mastered more advanced mathematical concepts and developed stronger logical reasoning skills. For those planning to apply to universities abroad, achieving a high score during these years is highly valuable.

Differences Between the AMC 10 A and B Exams

The AMC 10 offers two versions, A and B. What are the differences?

1. Different Exam Dates

Exam A: November 6, 2025 (Thursday), 17:00-18:15 (75 minutes).

Exam B: November 14, 2025 (Friday), 17:00-18:15 (75 minutes). Typically, the AMC 10 A exam is scheduled about a week before the B exam.

2. Topic Distribution

Both exams cover the same core knowledge areas: Algebra, Geometry, Combinatorics, and Number Theory. While the exact proportion of topics may vary slightly, the overall content scope and difficulty level are highly comparable.

3. Cutoff Scores

The cutoff scores for qualifying for the AIME are generally similar between the A and B exams. However, the cutoffs for the top 1% (Honor Roll of Distinction) can fluctuate more noticeably between the two versions.

Which one should you choose? Students can actually register for both exams. The two dates do not conflict, and the highest score from either attempt will be used for official records and award considerations.

 


 

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AMC10 Math Competition: High-Frequency Topics, Difficulty Breakdown & Prep Guide

The AMC10 Mathematics Competition is open to students globally in grade 10 and below (and under 17.5 years old on the day of the exam), held annually in November. What are the high-frequency topics on the AMC10? How are the knowledge points and question difficulties distributed? This article provides a comprehensive breakdown.

01 AMC10 Knowledge Point Distribution

The AMC10 covers a broad range of mathematical concepts, primarily focusing on geometry, number theory, probability and statistics, and combinatorics. Notably, the exam does not include calculus.

Essential Knowledge Points (Focus Areas)

  • Algebra: Algebraic manipulation techniques (factoring, substitution, expansion, etc.), linear functions and equations, absolute value and floor functions, sequences, quadratic functions and equations.
  • Geometry: Geometric transformations, properties of circles, similar triangles, lines and circles.
  • Number Theory: Modular arithmetic, divisibility, prime factorization, congruence equations, place value and number bases.
  • Combinatorics: Permutations and combinations, basic probability, inclusion-exclusion principle, recurrence relations.

Common Pitfalls by Module

  • Algebra: Misinterpreting word problems, solving absolute value equations, exponent and logarithm calculations.
  • Geometry: Identifying equal angles in congruent/similar triangles, adding/removing auxiliary lines, spatial visualization in plane geometry.
  • Counting: Distinguishing between permutations and combinations, avoiding double-counting.
  • Number Theory: Prime factorization, unit digit problems.
  • Probability: Discrete probability, geometric probability.

02 AMC10 Question Difficulty Distribution

The AMC10 consists of 25 questions with a stepped difficulty progression. Effective preparation requires precise time and energy allocation. The breakdown is as follows:

  • Basic Questions (Q1–8): Lower difficulty, covering foundational concepts in algebra, geometry, and number theory. These are crucial for securing points. Aim for 100% accuracy and speed to save time for harder problems.
  • Moderately Easy Questions (Q9–13): Slightly increased difficulty, often featuring tricky wording or hidden traps. Careful reading is essential. Most students can successfully tackle this section.
  • Medium Difficulty Questions (Q14–17): The critical dividing line and key to reaching the top 1%. For students in grade 8 and below, answering 15 questions correctly is highly commendable. For grade 9+ students, this section must be mastered with a goal of full accuracy.
  • Harder Questions (Q18–23): Significantly more challenging, integrating advanced concepts like linear/quadratic functions and probability/statistics alongside foundational techniques. This is the primary focus for students aiming for the top 5% and AIME qualification.
  • Hardest Questions (Q24–25): The true challenge zone, demanding deep conceptual understanding and high mental agility. Only a small fraction of students complete these. Students aiming for a perfect score should focus their efforts here.

03 Ideal Grade Levels for the AMC10

It is recommended that students in grades 7–10 prepare for the AMC10. Students below grade 7 typically lack the necessary mathematical foundation. If they wish to participate in math competitions, they should first solidify their school math curriculum and prioritize the AMC8.

  • Grades 7–8 (Middle School): With a solid math foundation, students can confidently challenge the AMC10. Many 7th and 8th graders achieve outstanding results annually. Participating at this stage provides early exposure to high school-level mathematical thinking, laying a strong foundation for future studies.
  • Grades 9–10 (High School): This is the golden period for taking the AMC10. Students have acquired more mathematical knowledge and developed stronger logical reasoning skills. For those planning to apply to universities abroad, achieving a high score on the AMC10 during this stage is highly valuable.

 


 

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AMC 8 Math Competition: What Is It and Why Should Your Child Take It?

The popularity of the AMC 8 math competition among young students has grown year after year. In recent years, top middle schools in cities like Beijing and Shanghai have begun using AMC 8 results as an important indicator of students' mathematical ability and problem-solving skills.

In this article, we cover everything you need to know: what AMC 8 is, its value and recognition, difficulty level, key knowledge areas compared to school math, the best grade levels to participate, and important exam dates and rules.

What Is the AMC 8 Math Competition?

The AMC 8 is a mathematics competition organized by the Mathematical Association of America (MAA). It is the entry-level competition in the AMC mathematics series, designed for students at or below the 8th grade level (under 14.5 years old).

The AMC mathematics competition system has a rich history dating back to 1985. China formally introduced the competition in 2006, with early participation of around 2,000 students — mostly from international schools.

Today, the AMC 8 is widely recognized by parents who value mathematical thinking development. With the domestic competition environment changing, more families are turning to internationally recognized alternatives. By 2023, participation in China had reached 74,888 students, and by 2025, the number climbed to 79,600 — approaching the levels previously seen in traditional domestic math competitions.

Why Is AMC 8 So Valuable?

The AMC 8 competition carries significant weight in several areas:

School Admissions: Top middle schools in Beijing (the "Haidian Six"), Shanghai ("San Gong" schools), and Shenzhen consider AMC 8 results as an important reference in their admissions process. Some schools even use AMC 8-style questions in their entrance exams.

International School Applications: Many international schools and programs use AMC 8 scores as evidence of a student's mathematical ability, especially for families planning to transition to international education tracks.

Academic Skill Development: Unlike traditional rote learning, AMC 8 tests creative problem-solving, logical reasoning, and mathematical thinking — skills that benefit students across all academic subjects.

Global Recognition: AMC 8 results are recognized by schools and universities worldwide, providing a standardized measure of mathematical ability that transcends local grading systems.

How Difficult Is AMC 8?

AMC 8 covers math knowledge from elementary school through early middle school. The competition is divided into seven modules:

  • Computation: Decimal, fraction, and integer operations
  • Geometry: Area, perimeter, angles, and spatial reasoning
  • Counting & Probability: Permutations, combinations, and probability models
  • Math Applications: Word problems and real-world scenarios
  • Number Theory: Divisibility, primes, remainders, and modular arithmetic
  • Algebra: Equations, patterns, and functions
  • Logic: Pattern recognition and deductive reasoning

Compared to school math, AMC 8 tests broader knowledge and more creative problem-solving approaches. Compared to traditional Math Olympiad, AMC 8 is more accessible — it does not require memorizing obscure techniques or studying advanced topics far ahead of grade level.

AMC 8 Exam Format

Feature Details
Format 25 multiple-choice questions
Duration 40 minutes
Scoring +6 correct, +1.5 unanswered, 0 wrong (max 150)
Language Bilingual (Chinese-English) available in China
Eligibility Grade 8 or below, under 14.5 years old

Who Should Take AMC 8?

AMC 8 is designed for most students, not just "math geniuses." Here's a quick guide:

  • Grades 3-4: Build mathematical interest and foundational problem-solving skills. Focus on learning, not scoring.
  • Grades 5-6: Ideal time to start serious preparation. AMC 8 results can support middle school applications.
  • Grades 7-8: Take the competition to demonstrate ability for high school and international school applications.

When Is the AMC 8 Exam?

The AMC 8 exam is typically held in January each year. Early registration usually opens in September-October. Results are announced approximately 6-8 weeks after the exam.

Important rules:

  • No calculators allowed
  • No penalty for wrong answers (always guess if you can eliminate options)
  • Students can participate once per year
  • Both A and B versions are available (one week apart)

AMC 8 Award Levels

  • Perfect Score: 150 points (full marks)
  • Honor Roll of Distinction (DHR): Top ~2-3% globally
  • Distinction (HR): Top ~5% globally
  • Top 10% Honor Roll: Top 10% of participants
  • Top 25% Honor Roll: Top 25% of participants
  • Achievement Roll: For students in grade 6 or below who score 15+

The AMC 8 is more than just a competition — it's a tool for developing mathematical thinking that serves students throughout their academic journey. Whether you're aiming for top middle schools, international programs, or simply building stronger math skills, the AMC 8 offers value for every student willing to put in the effort.

 


 

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