Mastering formulas is the first hurdle in preparing for the AMC 12. Many students only realize on exam day that while they understand the problem-solving approach, they cannot recall the necessary formulas—this is the most common reason for lost points. Below is a direct list of high-frequency formula topics. We recommend saving this guide for quick reference.
01 Core AMC 12 Formula Summary
Algebra
- Arithmetic and Geometric Sequences
- Vieta's Formulas
- Logarithmic Identities
Trigonometry
- Fundamental Identities
- Sum and Difference Formulas (Essential for AMC 12)
- Double-Angle Formulas
Complex Numbers (A unique AMC 12 testing point)
Geometry
- Triangle Area Formulas
- Law of Sines and Law of Cosines
- Power of a Point Theorem (Frequently appears in final, high-difficulty questions)
Number Theory
- Number of Divisors
- Fermat's Little Theorem
Probability & Combinatorics
- Binomial Theorem
- Conditional Probability
02 AMC 12 Exam Overview
Eligibility: Grade 12 and below, under 19.5 years of age on the day of the competition.
Exam Dates: Contest A on November 5, Contest B on November 13.
Format: 25 multiple-choice questions, 75 minutes.
Scoring Rules: +6 points for a correct answer, +1.5 points for an unanswered question, 0 points for an incorrect answer. Maximum score: 150.
Language: Bilingual (Chinese and English) exam papers, designed to be accessible to Chinese-speaking students.
Awards:
- Perfect Score Award: Achieving a full score of 150.
- Honor Roll of Distinction: Global top-tier recognition.
- Distinction Award: Global excellence recognition.
- Achievement Roll: Global honor recognition.
The AMC 12 covers advanced high school topics including logarithms, complex numbers, trigonometry, number theory, and combinatorics, making it more challenging than the AMC 10. Questions 1–20 are considered the "scoring zone," while Questions 21–25 serve as the "differentiation zone." Strategically, aim to secure full points on the first 20 questions before attempting the more difficult final problems.
03 Efficient AMC 12 Preparation Strategies
Master the Formulas Before Tackling Past Papers
A significant portion of lost points on the AMC 12 comes from understanding the question but forgetting the formula. We recommend printing the formula list above, placing it on your desk, and reviewing it daily. Within two weeks, you should be able to write them down from memory without hesitation.
Practice Past Papers at a Steady Pace, Avoid Cramming
It is highly recommended to complete one full past paper at a time under strict 75-minute timing. Immediately after finishing, check your answers and categorize every mistake into its corresponding formula module. Practicing two papers per week with thorough review is far more effective than rushing through five in a single day. Past exams and detailed solutions can be downloaded for free from the official AoPS website.
Organize Your Mistake Notebook by Topic, Not by Date
Many students log mistakes chronologically, which makes it difficult to spot patterns during review. Instead, categorize errors directly by module (Algebra, Geometry, Number Theory, Probability, Complex Numbers). After each practice session, file your mistakes accordingly. Before the exam, focus your review on the modules where you make the most frequent errors.
The AMC 12 formula content from this guide has been compiled into a printable PDF version, which includes:
- A complete formula checklist across six core modules (Algebra, Geometry, Trigonometry, Complex Numbers, Number Theory, Probability)
- A collection of past AMC 12 exam papers
- A recommended preparation timeline
Get FREE AMC 12 Preparation Materials
Scan the QR code below to access free practice papers, study guides, and past competition materials. Start preparing today!
