Category: Blog

As a globally influential middle school mathematics competition, AMC10 is not only a gateway to higher-level math contests but also a highly valued "hard currency" in applications to prestigious schools both domestically and internationally. Its syllabus mainly covers mathematics content from grade 9 to grade 10, divided into four core modules, with difficulty increasing in a stepwise manner.

I. AMC10 Core Topics & Difficulty Gradient Analysis

The AMC10 exam content is mainly divided into four modules, each with different emphasis and weight:

• Algebra (35%-40%): Core topics include quadratic functions, inequalities, sequences, etc. This is the foundation for scoring on the entire paper.
• Geometry (25%-30%): Covers plane geometry, circles, triangles, and the Pythagorean theorem, focusing on spatial imagination and graphical analysis skills.
• Number Theory (15%-20%): Mainly involves divisibility, congruences, prime factorization, etc. This is a key area for distinguishing scores.
• Combinatorics & Probability (15%-20%): Includes permutations, combinations, probability, and counting principles, emphasizing logical reasoning and case-based thinking.

In terms of difficulty distribution, the 25 questions show a very clear stepwise pattern:

• Questions 1-10 (Warm-up): Comparable to intermediate-level questions in the domestic high school entrance exam. Students with a solid foundation in school math can easily score.
• Questions 11-20 (Advanced dividing line): Difficulty is roughly at the level of the domestic junior high school math league. Requires certain competition thinking and the ability to apply knowledge comprehensively.
• Questions 21-25 (High-difficulty sprint): Difficulty approaches the first round of the domestic high school math league. These are crucial for aiming for top awards and widening the gap.

II. AMC10 A vs B Volume: Style Differences and Selection Strategy

AMC10 offers two exam opportunities each year: Volume A and Volume B. Both are at the same difficulty level, but their question styles differ significantly:

• Volume A (Steady & Reliable): The overall difficulty gradient is smooth, with a higher proportion of foundational questions in the first 15 questions. There are more computation-oriented questions, the problem statements are straightforward, and the final questions tend to follow conventional patterns. Suitable for first-time participants with a solid foundation who aim for a stable qualification to AIME.
• Volume B (Flexible & Innovative): Questions are more flexible and comprehensive, with the mid-section difficulty tending to rise. There are more innovative question types in number theory and combinatorics, and the final questions feature ingenious approaches, demanding high flexibility in thinking. Suitable for students with competition experience, who excel at innovative questions, and aim to rank in the top 1% globally.

Selection Recommendations:

• For a safe AIME qualification: Prioritize Volume A.
• For a top 1% global rank: Students with strong math skills can focus on Volume B.
• Double-registration strategy: If conditions allow, it is highly recommended to register for both A and B. Having two exam opportunities and taking the highest score for qualification can significantly increase the chance of getting an AIME invitation.
• If time/energy is limited: Beginners should prioritize Volume A; students with prior AMC experience who regularly practice difficult problems can choose Volume B.

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III. AMC10 Score Competitiveness and College Application Value

AMC10 has a total score of 150 (6 points for correct answers, 1.5 points for unanswered, 0 points for wrong answers). Different score ranges correspond to different levels of competitiveness for college applications:

• 90 points and above (Proof of talent for younger students): Students in grade 8 or below who achieve this score typically receive the "Achievement Roll" award. This is a strong proof of mathematical talent for younger students and is highly regarded in interviews for various prestigious schools.
• 105 points and above (Key to top schools): Reaching the AIME qualification score provides a clear advantage when applying to top international schools like Pinghe, Lingke, and Shenzhen College of International Education, or for independent admissions to key high school science/technology classes in China. It also significantly boosts subsequent "Strong Foundation Plan" applications.
• 136 points and above (Trump card for top-tier universities): Entering the top 1% globally (Honor Roll of Distinction) typically requires answering 21-22 questions correctly, with very low tolerance for errors. This is a "trump card" score that sets applicants apart and can be decisive for admission to top overseas universities like Stanford and Princeton.

IV. AMC10 Preparation Guide for Zero-Baseline Students

AMC10 is a "popularizing" competition, not purely a "talent selection" exam. Zero-baseline students have a full opportunity to achieve excellent results. The first 10 questions are "gimme" questions, and the AIME qualification line is usually around 100 points. You do not need to forcefully tackle the last 5 difficult problems; as long as you maintain a high accuracy rate on the first 15 questions, you can steadily cross the AIME threshold.

However, zero-baseline preparation requires acknowledging and overcoming two major gaps:

• Knowledge gaps: Number theory and combinatorics are almost "zero coverage" in the domestic school curriculum. Systematic and early supplementary training is necessary.
• Time endurance: 25 questions in 75 minutes means an average of only 3 minutes per question. The speed requirement for reading, thinking, and calculating is extremely high. Strict timed practice must be conducted in daily preparation.

We are an AMC authorized test center and can provide free registration assistance!

Scan the QR code to inquire about AMC10 registration for the 2026 season ⇓

Scan the QR code to get free AMC 10 past papers (2010–2025) + solutions + book list + formulas, etc., and details of trial classes!

With the approach of the 2027 season, the Mathematical Association of America (MAA) has implemented a historic rule reshaping of the AMC/AIME competition system. From the fixation of the qualification threshold, the complete restructuring of the USAMO qualification logic, to a comprehensive upgrade of the exam format, these changes not only alter the preparation path for US-based students but also impose new requirements on the academic planning of Chinese students.

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I. Three Core Changes to US AIME Rules: A Complete Overhaul

1. Fixed Qualification Threshold, Farewell to "Floating Cutoff Scores"

Previously, AIME qualification was determined dynamically based on the percentile scores of AMC test-takers in a given year. Starting from the 2027 season, the AIME qualification threshold will be changed to fixed numerical scores: a score of 100 on the AMC 10 or 85 on the AMC 12 will guarantee qualification. This adjustment makes the qualification standard more transparent and stable, allowing students to set clear target scores in advance. However, it also means that qualification standards will no longer be lowered due to a particularly difficult exam paper or weaker overall performance. The margin for error in the AMC has become thinner, and every point is crucial.

2. USAMO Qualification Logic Restructured, AIME Weighting Takes the Lead

In the past, the qualification formula for USAMO/USAJMO was "AMC score + 20 × AIME score," with the AIME score already accounting for two-thirds of the total. Starting from the 2027 season, the AMC score will no longer be used as a basis for qualification. Qualification for USAMO/USAJMO will depend entirely and primarily on the AIME score. This means that the previous strategy of relying on a high AMC score to boost the total and compensate for weaknesses in the AIME has been completely blocked. The 15 questions of the AIME have become the true "decisive battleground."

3. New Age Restrictions and Computer-Based Testing at Test Centers

Starting from the 2027 season, only students who have reached the age of 13 are eligible to take the AIME. Even if younger students meet the AMC qualification threshold, they will not be able to participate if they are under 13. Additionally, all test-takers in the US and Canada must go to Pearson Professional Centers for computer-based testing. There will no longer be a distinction between AIME I and AIME II; all exams will be administered during a unified window from February 5 to 6.

II. Preparation Window for the China Region: A "Golden Opportunity" Brought by the Fixed Cutoff

Although the rules in the US have undergone major changes, for students in the China region, the 2027 season AMC presents a rare golden window for qualification. This year, the AIME qualification threshold has been favorably lowered: a score of 100 on the AMC 10 or 85 on the AMC 12 will unlock an invitation to the AIME. This is an excellent opportunity in recent years to win awards and qualify. Students should make full use of the less than three months of preparation time, precisely target the fixed cutoffs, and set clear AMC scoring goals.

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III. Competition Selection Strategy: AMC 10 and AMC 12 Are Parallel Tracks, Not Prerequisites

Many parents and students have a misconception that AMC 10 and AMC 12 are in a progression relationship. In fact, they are two parallel tracks. As long as grade and age conditions are met, students can even register for a combination such as AMC 10 A卷 + AMC 12 B卷 in the same year. For 10th-grade students, both are options; however, 11th grade and above can only register for AMC 12. The choice of competition should not be based on盲目 pursuit of higher difficulty, but on the student's grade and current math level:

• 1. Still building a foundation → Prioritize AMC 10
  If the student is currently in grades 8–10, is just beginning to engage with competitions, and has an incomplete knowledge system, AMC 10 is the best starting point. At this stage, the most important thing is to build a knowledge structure and ensure stable scores on the basic and intermediate questions. Jumping directly to AMC 12 may lead to difficulties in understanding and keeping up due to knowledge gaps, which can cause a loss of confidence.
• 2. Stuck at a bottleneck → Consider switching to AMC 12
  For students who have been preparing for a while but whose AMC 10 scores consistently fluctuate around the 12–16 correct answer range, trying AMC 12 can be an option. Improving scores on AMC 10 requires overcoming the last few extremely difficult questions, which demands a significant amount of time and ability. By switching to AMC 12, students may find it easier to see results by relying on more consistent performance to hit the 85-point qualification cutoff.
• 3. Clear goal for results → Directly aim for AMC 12
  If the student's goal is very clear, i.e., to qualify for AIME as soon as possible and obtain competition results, then prioritizing the AMC 12 path is recommended. In essence, AMC 10 tends to "screen for top-tier talents," while AMC 12 tends to "provide opportunities to meet the standard." With equivalent ability, AMC 12 relies less on extremely difficult problems, offers a higher margin for error, and has a significantly higher qualification rate (top 5% globally) compared to AMC 10 (top 2.5% globally).

We are an AMC authorized test center and can provide free registration assistance!

Scan the QR code to inquire about AMC 10 registration for the 2026 season ⇓

Scan the QR code to get free AMC 10 past papers (2010–2025) + solutions + book list + formulas, etc., and details of trial classes!