AMC 8 AMC 8 数学竞赛
📌 Course at a glance
· 3 units · key topics drilled across the official outline
· Next exam: 2026-01-20 · 2026-01-20
📝 Full chapter-by-chapter lecture walkthroughs are being written. This page is the course outline — every unit and topic that will be covered, with key concepts you can already start to recognise. Use it as a study map; the chapter notes drop in over the coming weeks.
What you can already do today (free)
- 📺 Watch curated YouTube videos on every topic (links from the chapter pages as they release)
- 🎯 Take 1 free diagnostic quiz to see your starting level
- 📊 Browse the full course outline below to plan your study path
With All-Access (free 7-day trial):
- 🧠 Memory Curve spaced review with email reminders
- 📝 Unlimited MCQ / FRQ practice
- 📑 Mock exams and progress analytics
Course outline
Unit 1 · Problems 1–8: Foundations 第1–8题：基础题
Exam weight: Problems 1–8 (Easy)
1.1 — Arithmetic & Number Theory 算术与数论
· Integer operations · Divisibility rules · LCM and GCF · Prime factorization · Fractions and decimals
1.2 — Percentages, Ratios & Proportions 百分比、比例与比率
· Percent of a number · Percent increase/decrease · Ratio and proportion word problems · Unit rates
1.3 — Basic Geometry 基础几何
· Perimeter and area · Angles in polygons · Circles: circumference and area · Volume of rectangular prisms
1.4 — Logical Reasoning & Patterns 逻辑推理与规律
· Arithmetic sequences · Finding patterns · Counting systematically · Venn diagrams
Unit 2 · Problems 9–17: Intermediate 第9–17题：中等题
Exam weight: Problems 9–17 (Medium)
2.1 — Algebra & Equations 代数与方程
· Setting up equations from word problems · Systems of equations · Consecutive integers · Rate × time = distance
2.2 — Intermediate Geometry 中级几何
· Pythagorean theorem · Similar triangles · Area of composite figures · Coordinate geometry basics
2.3 — Probability & Statistics 概率与统计
· Basic probability · Independent events · Mean, median, mode · Data interpretation from graphs
2.4 — Combinatorics & Counting 组合与计数
· Multiplication principle · Permutations · Combinations · Inclusion-exclusion principle
Unit 3 · Problems 18–25: Advanced 第18–25题：难题
Exam weight: Problems 18–25 (Hard)
3.1 — Number Theory (Advanced) 数论（进阶）
· Modular arithmetic · Units digit patterns · Perfect squares and cubes · Digit sum tricks
3.2 — Advanced Geometry 几何（进阶）
· Area ratios · 3D geometry · Angle chasing · Inscribed figures
3.3 — Advanced Combinatorics 组合数学（进阶）
· Casework · Complementary counting · Path counting on grids · Stars and bars
3.4 — Problem-Solving Strategies 解题策略
· Working backwards · Guess and check systematically · Draw a diagram · Look for symmetry · Find a pattern