How Many Easy and Hard Questions Are on the AMC 10? How Can Students in Grades 7-10 Efficiently Prepare for the AMC 10?

As the difficulty of the AMC 10 competition increases year by year, scientific and reasonable preparation strategies have become particularly important. This article will provide detailed preparation plans for students in grades 7 to 10, helping you stand out in the fierce competition.

I. AMC 10 Question Analysis and Goal Setting

Basic Questions [Questions 1-8]
Characteristics: Relatively low difficulty, mainly testing basic algebra, geometry, and number theory problems.
Strategy: Ensure accuracy and speed, strive to get all correct to leave more time for subsequent questions.

Relatively Easy Questions [Questions 9-13]
Characteristics: Slightly more difficult, with small traps, requiring careful reading.
Strategy: Stay alert, avoid losing points due to carelessness, try not to lose points.

Medium Difficulty Questions [Questions 14-17]
Characteristics: Have a certain level of difficulty, especially for students in grade 8 and below; this is a key area to conquer.
Strategy: Aim to get at least 15 correct out of the first 17 questions to secure the Global Honor Roll.

Relatively Difficult Questions [Questions 18-23]
Characteristics: Involve advanced concepts such as quadratic functions, similar triangles, probability and statistics, which are key to widening the score gap.
Strategy: For the goal of AIME qualification and the global top 5%, these need to be focused on and intensively trained.

Difficult Questions [Questions 24-25]
Characteristics: The truly difficult area, testing deep mathematical knowledge and talent for thinking.
Strategy: Suitable for students aiming for a perfect score or the global top 1%; focus on problem-solving skills and experience accumulation.

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II. AMC 10 Preparation Strategies by Grade Level

Grade 7 Students
Goal: Ensure that in-school math grades are consistently above 90 points and master the core knowledge points of middle school mathematics. If you have experience participating in the AMC 8, you can gradually transition to the AMC 10.
Time Planning: Foundation Learning (50 hours): Systematically review knowledge points, including algebraic equations, geometry basics, etc. Consolidation and Improvement (30 hours): Strengthen understanding through topic-specific training, such as algebraic transformations, geometric proofs, etc. Sprint Practice (20 hours): Simulate the exam environment, complete past papers under timed conditions, and improve problem-solving speed.
Specific Tasks: Practice basic algebra problems daily (e.g., solving equations, ratio calculations), and complete 1 set of geometry problem training per week.

Grade 8 Students
Goal: Consolidate in-school knowledge, deeply study AMC 10 test points, and accumulate test-taking experience. Focus on conquering high-frequency test points such as geometric proofs, number theory models, and combinatorial counting.
Time Planning: Knowledge Reinforcement: Conduct targeted breakthroughs on weak areas, completing 10 algebraic transformation problems daily and 3 sets of geometry proof problems weekly. Past Paper Simulation: Complete 2 full past papers weekly, strictly timed at 75 minutes, and analyze the reasons for losing points on the last 5 questions.
Specific Tasks: Practice algebra problems daily, conduct geometry proof training weekly, and regularly review mistakes.

Grade 9 Students
Goal: Balance the pressure of the high school entrance exam (Zhongkao) / track transfer and competition preparation, use holidays to preview high school math courses, and build knowledge reserves for the AMC 10.
Time Planning: Before the Zhongkao: Focus on in-school knowledge, spend 30 minutes daily practicing low-to-medium difficulty AMC 10 questions. After the Zhongkao: Intensively practice, focusing on breaking through difficult areas such as summation of sequences, solid geometry, probability calculations, etc.
Specific Tasks: Before the Zhongkao, practice low-to-medium difficulty questions daily; after the Zhongkao, intensively break through high-difficulty question types. Establish a mistake notebook and review regularly.

Grade 10 Students
Goal: This is the last opportunity to take the AMC 10. Through extensive simulation and past paper training, identify weak points and carry out targeted reinforcement.
Time Planning: Mock Exam Sprint: Complete 10 high-difficulty questions daily under timed conditions to maintain a feel for the exam. You may also participate in an AMC 10 sprint class for focused and efficient review. Mistake Review: Establish a mistake notebook, regularly review high-frequency error question types, and summarize problem-solving approaches.
Specific Tasks: Complete high-difficulty questions daily under timed conditions, regularly participate in mock exams, review mistakes, and optimize problem-solving strategies.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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In-Depth Interpretation of the 2025 AMC 10 Cutoff Trends! How to Scientifically Plan Your Preparation for the 2026 AMC 10?

The 2025 AMC 10 cutoffs send a clear signal: the difficulty of the competition and the level of participants have risen in tandem, making short-term cramming strategies no longer effective. AIME qualification cutoffs: Version A: 105 points (↑3 points), Version B: 99 points (↑12 points); Global Top 1% (DHR): Stabilized at 130+ points, meaning you need to answer at least 22 questions correctly, and among questions 21–25, you must solve at least 3–4 of them. In the face of this new situation characterized by "high thresholds and intense competition," candidates for 2026 must embark on a long-term, systematic, and phased scientific preparation. This article will break down the core knowledge points of the four major AMC 10 modules, the four-stage advancement pathway, and precise problem-solving strategies for you, helping you move from foundation consolidation to top-level breakthrough.

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I. In-Depth Interpretation of the 2025 AMC 10 Cutoff Trends

Goal
Score Required
Answering Requirements
Practical Challenges
AIME Qualification (Top 2.5% Globally)
≥100–105 points
- All of first 15 questions correct
- 3 correct among questions 16–20
- Total incorrect ≤5 questions
The 2025 Version B cutoff of 99 points for qualification, but the margin for error is only 5 questions.
Global Top 5% (Honor Roll)
≈108–112 points
- ≤2 incorrect among first 20 questions
- Attempt and get 1–2 correct among questions 21–25
Requires stability on intermediate questions plus tackling some difficult questions.
Global Top 1% (Distinguished Honor Roll)
≥130 points
- ≤1 incorrect among first 20 questions
- 3–4 correct among questions 21–25
The ability to tackle difficult questions becomes the key to victory.

II. The Four Core Modules of AMC 10

The content of the AMC 10 focuses on four major areas. In recent years, the proportion of Combinatorics and Number Theory has increased, while the integration of Algebra and Geometry has deepened.

Module
Proportion
High-Frequency Topics
2025 Difficulties & Trends
Algebra
≈30%
- Quadratic equations and inequalities
- Function graphs and transformations
- Sequences (recursion/periodicity)
- Polynomial factorization
More comprehensive questions combining functions and geometry (e.g., trigonometric functions + circles).
Geometry
≈25%
- Similar/congruent triangles
- Power of a Point theorem, Ptolemy's theorem
- Trigonometric ratios and area formulas
- Solid geometry (volume/cross-section)
Auxiliary line construction is more concealed; frequency of solid geometry problems ↑.
Number Theory
≈20%
- Prime factorization
- Modular arithmetic and congruences
- Fermat's Little Theorem
- Chinese Remainder Theorem (advanced)
Cross-topic problems combining Number Theory and Combinatorics are frequent (e.g., integer partitions + counting).
Combinatorics
≈25%
- Permutations and combinations (with constraints)
- Inclusion–Exclusion Principle
- Recurrence relation modeling
- Conditional probability and expectation
The difficulty of recurrence modeling problems has surged, requiring abstract thinking.

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III. 2026 AMC 10 Four-Stage Scientific Preparation Plan

Stage 1: Foundation Consolidation Period (From now until June 2026)

Goal: Build a complete knowledge framework and complete the leap from middle school to high school mathematical thinking.

Module
Core Tasks
Algebra
Master function graph transformations, solving quadratic inequalities, deriving general terms for arithmetic/geometric/recursive sequences.
Geometry
Proficiently add auxiliary lines (e.g., drawing altitudes, connecting midpoints, completing shapes), master the application scenarios of the Power of a Point theorem.
Number Theory
Understand the essence of modular arithmetic (a ≡ b mod m ⇔ m | (a - b)), grasp the fundamental properties of congruence.
Combinatorics
Distinguish between permutations and combinations, master the Inclusion–Exclusion Principle formula: |A∪B| = |A| + |B| − |A∩B|.

Stage 2: Ability Enhancement Period (July 2026 – August 2026)

Goal: Break through high-frequency difficult points, develop problem-solving intuition, and improve speed and accuracy.

Topic-Specific Breakthrough Checklist:

Algebra: Polynomial factorization techniques, comprehensive problems combining functions and geometry.

Geometry: Complex similarity models (e.g., "double perpendicular," "common side ratio"), solid geometry cross-section construction.

Number Theory: Solving congruence equations (e.g., 3x ≡ 1 mod 7), applying Fermat's Little Theorem (a^(p−1) ≡ 1 mod p).

Combinatorics: Recurrence modeling (e.g., staircase climbing problems), conditional probability (P(A|B) = P(A∩B)/P(B)).

Timed Training Standards:

Question Range
Time
Goal
1–10
≤15 minutes
100% accuracy, no calculation errors
11–20
≤35 minutes
Accuracy ≥80%, focus on practicing cross-module problems
21–25
≤25 minutes
Develop strategy: prioritize Combinatorics/Geometry; Number Theory difficult problems can be strategically skipped.

Stage 3: Past Paper Mock Exam Period (September 2026 – November 2026)

Goal: Adapt to the exam pace, expose knowledge blind spots, and optimize time allocation.

Complete 1–2 full past paper mock exams per week (2021–2025 papers), strictly timed at 75 minutes.

Spend double the exam time on review: record the time spent on each question to identify "time sinks"; categorize mistakes: knowledge gaps? calculation errors? misreading of the problem? Return to topic-specific training to address weak areas.

Stage 4: Sprint and Adjustment Period (December 2026 – Before the Exam)

Goal: Solidify answering strategies, enhance stress resistance, and ensure peak performance.

Develop a personalized schedule:
0–15 min: Complete questions 1–10 (review once before turning the page)
15–50 min: Tackle questions 11–20 (mark uncertain questions)
50–75 min: Focus on questions 21–25 (start with those you have a clue about).

Establish a checklist:
Are the units consistent? (e.g., cm vs m)
Are you answering the question asked? (e.g., calculating area but being asked for perimeter)
Did you bubble in the answer sheet correctly?

For more information about AMC 10/12 competition courses, please contact us.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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