AMC 10 Competition Prep · By Alice Hui

Mastering the AMC 10: A Comprehensive Guide to Mathematical Excellence

A complete problem set covering Algebra, Geometry, Number Theory, and Combinatorics — with full step-by-step solutions drawn from real AMC 10 contests.

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4
Topic Chapters
100%
Worked Solutions
AMC 10
Real Contest Problems
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About the Author

Alice Hui

Welcome to Mastering the AMC 10 — a comprehensive guide born out of countless hours of dedication to helping students excel in math competitions.

Whether you're an experienced contestant or just starting your AMC journey, this book is designed for all levels. Each chapter begins with concise key formulas and concepts, followed by practice problems drawn directly from real AMC 10 contests and other reputable competitions.

  • Problems sourced from real AMC 10 & AMC 12 contests
  • Step-by-step solutions for every problem
  • Covers all 4 major AMC topic areas
  • Time management and exam strategy tips included
What You Get

Everything You Need to Succeed

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Chapter 1 — Algebra

Exponent rules, quadratics, Vieta's theorem, Simon's Factoring Trick, sequences, logarithms, and more.

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Chapter 2 — Geometry

Triangles, circles, polygons, area techniques, similar figures, and coordinate geometry.

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Chapter 3 — Number Theory

Divisibility, modular arithmetic, digit problems, GCD/LCM, prime factorization, and remainders.

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Chapter 4 — Combinatorics

Counting principles, permutations, combinations, probability, Pascal's triangle, and pigeonhole principle.

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Full Worked Solutions

Every problem has a complete step-by-step solution explaining the method and key insights.

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Professional PDF Format

Typeset with LaTeX — crisp mathematical notation, readable on any device, downloadable for offline use.

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Sample Problems

Get a taste of what's inside. Subscribers get hundreds more — with full solutions.

Algebra
2000 AMC 10 · Problem 15

Algebraic Identity

Two non-zero real numbers $a$ and $b$ satisfy $ab = a - b$. Find a possible value of $\dfrac{a}{b} + \dfrac{b}{a} - ab$.
🔓 Hint: Rewrite $\frac{a}{b}+\frac{b}{a} = \frac{a^2+b^2}{ab}$ and substitute the given relation.
Geometry
2006 AMC 10B · Problem 15

Similar Rhombuses

Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of $ABCD$ is $24$ and $\angle BAD = 60°$. What is the area of rhombus $BFDE$?
🔒 Subscribe to see the full solution →
Number Theory
2019 AMC 10B · Problem 14

Digit Sum from Factorial

$19! = 121{,}6T5{,}100{,}40M{,}832{,}H00$, where $T$, $M$, and $H$ are digits. What is $T + M + H$?
🔒 Subscribe to see the full solution →

These are just a few of the problems across 4 chapters — all with complete solutions.

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  • Full PDF — Mastering the AMC 10 by Alice Hui
  • 4 chapters: Algebra, Geometry, Number Theory, Combinatorics
  • Complete step-by-step solutions for every problem
  • Real AMC 10 contest problems with strategies
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FAQ

Frequently Asked Questions

How do I access the problems after subscribing?
After your PayPal subscription is confirmed, you'll receive an email with your personal access code within 24 hours. Enter that code on the Members page to unlock the full problem set.
Can I cancel my subscription at any time?
Yes — simply log into your PayPal account and cancel the subscription. You'll retain access until the end of your current billing period.
What topics are covered?
The book covers four chapters: Algebra (exponents, quadratics, sequences), Geometry (triangles, circles, polygons), Number Theory (divisibility, modular arithmetic), and Combinatorics (counting, probability).
Is the content suitable for beginners?
Yes! Problems are graded from Easy to Hard. Beginners can start with foundational problems, while advanced students can jump to the challenging sections.
What format is the content in?
All content is delivered as a professionally typeset PDF, created with LaTeX for perfect mathematical notation. You can read it in the browser or download it for offline use.
I haven't received my access code. What should I do?
Please check your spam folder first. If it's not there, contact me at hui.guo.dong@gmail.com with your PayPal transaction ID and I'll send your code promptly.