High School Mathematics Challenge: 10 Practice Tests for AMC 10-12 and Math Leagues Preparation

UPDATED OCTOBER 2026 — Comprehensive Practice for AMC 10 and AMC 12

10 full-length practice tests. 250 challenging problems. Detailed, step-by-step solutions.

Prepare for high school mathematics competitions with a collection designed to sharpen your reasoning, strengthen your strategies, and build confidence with challenging problems. This revised edition supports preparation for the American Mathematics Competitions (AMC 10 and AMC 12), MathCON Finals, and mathematics leagues, while encouraging a deeper understanding of mathematics.

What’s inside:

• 10 comprehensive practice tests: Each 25-problem test offers contest-style practice for independent study, timed sessions, math clubs, and classroom enrichment.

• 250 challenging problems: Develop flexibility across algebra, geometry, number theory, counting, and probability.

• Detailed solutions to every problem: Follow the reasoning from the first useful observation to the final answer, with explanations that help you understand why each method works.

• Alternative approaches to selected problems: Explore different ways to solve a problem and learn to recognize efficient strategies.

• Revised explanations and practical study resources: Make your review more productive with mathematical references, a practice record, and a reusable answer sheet.

Whether you are preparing for your first AMC or working toward more demanding contest problems, use each test to identify strengths, uncover gaps, and turn careful review into lasting progress.

Practice with purpose. Understand the reasoning. Approach your next competition with greater confidence.

Master the AMC 10/12 and Math League Challenges with Confidence
High school math contests demand more than memorization—they require sharp problem-solving, creativity, and endurance. High School Mathematics Challenge: 10 Practice Tests for AMC 10-12 and Math Leagues Preparation gives students the tools they need to excel.
Inside, you'll find 10 full-length practice tests and 250 challenging problems covering algebra, geometry, number theory, and combinatorics. Each test mirrors the format and difficulty of real competitions, preparing students for the pressure and pace of the exam.
What sets this book apart is its step-by-step detailed solutions. Students don't just check answers—they learn how to analyze problems, apply strategies, and develop lasting mathematical thinking skills.
Co-authored by Dr. Sinan Kanbir, mathematics educator and contest problem writer, and Dr. Richard Spence, a veteran math contest coach with decades of experience training gifted students, this book is a field-tested, reliable resource trusted by parents, teachers, and mathletes worldwide.
Whether you're preparing independently, training with a math team, or supporting a motivated student, this book will help you build the skills and confidence to succeed.