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Kevin Xu

Let's enjoy the beauty and fun of competition math .

Whether you have never participated math competition before, or want to learn advanced math skills, this course is for you.

In this course, AMC 10 exam questions are organized into 4 major areas of math - Algebra, Geometry, Counting and probability, and Number theory.

The four areas are then separated into part A, part B and part C, based on the level of difficulty.

Read more

Let's enjoy the beauty and fun of competition math .

Whether you have never participated math competition before, or want to learn advanced math skills, this course is for you.

In this course, AMC 10 exam questions are organized into 4 major areas of math - Algebra, Geometry, Counting and probability, and Number theory.

The four areas are then separated into part A, part B and part C, based on the level of difficulty.

  • Part A typically are questions 1-10 in an AMC 10 paper. These questions are very good for beginners who just start competition math. The questions are a bit harder than school math.

  • Part B typically are questions 11-20 in an AMC 10 paper. These questions are the core of an AMC paper, where we should spend most of our learning time.

  • Part C typically are questions 21-25 in an AMC 10 paper. These are the most complex questions.

And here’s what you get inside of every section:

  • Videos: Each video will focus on one specific topic, with detailed explanation and examples from real paper.

  • Workbook: The workbook includes all the notes and questions I used in this course. You can try to solve the questions by yourself before watching the video.

  • Quizzes: After each topic I will put a quiz with one or two questions. I also provide detailed solution for the quiz.

You'll also get:

  • Lifetime access to this course

  • Friendly support in the Q&A section

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee

Enroll today. Learn competition math in a way that will advance your problem solving skill and increase your knowledge, and have fun.

Enroll now

What's inside

Learning objectives

  • Learn competition math step by step from beginner to master!
  • Prepare you for the amc 10 math contest
  • Learn algebra, geometry, counting and probability, number theory, and more!
  • A lot of interesting questions that you will never see in school math!
  • Enjoy the beauty and fun of math!
  • Enhance math and problem-solving skills, and school math becomes so easy!

Syllabus

Introduction
Mastering AMC 10 workbook for download
AMC 10 Formula Sheet
Algebra Part A
Read more
Algebra Part A workbook for download
Solving linear equations
Linear functions
Solving linear equations - review school math
Speed
Arithmetic sequence
3D shapes
Mean, median & mode
Special calculating - power, factorial, absolute value, repeating decimals
Special calculating
Algebraic expressions
3D shapes - review school math
Solutions for quizzes
Geometry Part B
Geometry Part B workbook for download
Radical operations for AMC 10
Radical operations - review school math
Special triangles
Similar Triangles
Circles and triangles
Probability with geometry
Circle geometry
Algebra Part B
Coordinate geometry - linear functions
Linear functions - review school math
Algebra Part B workbook for download
Expanding and factoring - part 1
Expanding and factoring - part 2
Expanding and factoring
Expanding and factoring - review school math
Quadratic equations and completing the square - explained
Quadratic equations and completing the square 1
Quadratic equations and completing the square 2
Quadratic equations and completing the square
Mean, median & mode part B
Special triangles - part C
Counting and Probability Part B
Counting and Probability Part B workbook for download
Counting by multiplication
Permutation
Similar triangles & algebra
Combination
Number Theory Part B
Multiplying probabilities
Venn diagram
Stars and bars method
Number Theory Part B workbook for download
Divisibility rules & prime numbers
Prime factorization & number of factors 1
Prime factorization & number of factors 2
Prime factorization & number of factors
Modulo operation
Coordinate geometry - quadratic functions
Base-k numbers
Geometry Part C
Geometry Part C workbook for download
Coordinate geometry - circle functions
Coordinate geometry - absolute value functions
Circle inscribed in triangle
Triangle centroid (optional)
More quiz questions
Algebra Part C
Algebra Part C workbook for download
Geometric sequence
Quadratic equations - Vieta's formulas
Higher degree polynomials
Defined functions
Counting and Probability Part C

Save this course

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Mastering AMC 10 with these activities:
Review School Math Concepts
Reinforce foundational math concepts covered in school to prepare for the more advanced problem-solving techniques used in the AMC 10.
Show steps
  • Review notes and examples from previous math courses.
  • Work through practice problems covering key concepts.
  • Identify areas of weakness and seek additional resources.
Art of Problem Solving Volume 1: The Basics
Study this book to gain a solid foundation in problem-solving strategies and techniques relevant to the AMC 10.
Show steps
  • Read each chapter carefully, paying attention to the examples.
  • Work through the practice problems at the end of each chapter.
  • Review solutions and identify areas for improvement.
Solve Past AMC 10 Problems
Practice solving past AMC 10 problems to familiarize yourself with the exam format, question types, and difficulty level.
Show steps
  • Download past AMC 10 exams from the official website.
  • Set a timer and attempt to solve the problems within the allotted time.
  • Review solutions and analyze your mistakes.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Create a Formula Sheet
Compile a formula sheet containing key formulas and concepts covered in the course to serve as a quick reference guide during problem-solving.
Show steps
  • Review the course materials and identify key formulas.
  • Organize the formulas into categories (algebra, geometry, etc.).
  • Create a concise and easy-to-read formula sheet.
Problem-Solving Strategies for Math Competitions
Study this book to learn advanced problem-solving strategies and techniques that can help you excel in the AMC 10.
Show steps
  • Read each chapter carefully, focusing on the problem-solving strategies.
  • Attempt to solve the problems before looking at the solutions.
  • Analyze the solutions and identify the key strategies used.
Tutor Other Students
Reinforce your understanding of the material by tutoring other students who are also preparing for the AMC 10.
Show steps
  • Offer to help classmates or friends who are struggling with the material.
  • Explain concepts in your own words and answer their questions.
  • Review their work and provide constructive feedback.
Participate in Mock AMC 10 Contests
Simulate the actual AMC 10 exam environment by participating in mock contests to build confidence and improve time management skills.
Show steps
  • Find or create mock AMC 10 contests with realistic problems.
  • Take the contests under timed conditions, simulating the real exam.
  • Review your performance and identify areas for improvement.

Career center

Learners who complete Mastering AMC 10 will develop knowledge and skills that may be useful to these careers:
Math Coach
A math coach supports students in developing their mathematical skills and problem-solving abilities. This course, by covering Algebra, Geometry, Counting and Probability, and Number Theory, may be useful for developing a comprehensive understanding of the concepts tested in competition math. The course's structure, which breaks down problems into difficulty levels, allows one to tailor coaching sessions to different skill levels. The videos, workbooks, and quizzes add a lot to the development of engaging and effective coaching materials. One who wants to become a math coach should take this course to enhance their expertise in competition math.
Tutor
As a tutor, you provide personalized instruction to students, often focusing on specific subjects like mathematics. The 'Mastering AMC 10' course can significantly help you prepare students for math competitions, especially the AMC 10. The course's structured approach, breaking down problems into Algebra, Geometry, Counting and Probability, and Number Theory and then into difficulty levels, allows you to tailor your tutoring sessions to each student's needs. By reviewing the videos, workbooks, and quizzes, you can create engaging and targeted lessons. One who wants to become a tutor should take this course to enhance their ability to guide students toward success in competition math.
Mathematics Teacher
A mathematics teacher shares their passion for mathematics with students of all ages. This course helps build a foundation for teaching mathematical concepts, especially in competition math. The organization of AMC 10 exam questions into Algebra, Geometry, Counting and Probability, and Number Theory in the course may be useful for preparing lessons and explaining these topics to students. The course's focus on different difficulty levels mirrors adapting teaching to diverse student abilities. One who wants to teach mathematics should take this course to deepen their own understanding of competition math.
Curriculum Developer
A curriculum developer creates educational materials and resources for various subjects, including mathematics. 'Mastering AMC 10' may be useful for curriculum developers looking to design engaging and challenging math content. The course's breakdown of AMC 10 topics into Algebra, Geometry, Counting and Probability, and Number Theory, along with its tiered difficulty levels, can inform the structure and content of a math curriculum. The course's videos, workbooks, and quizzes provide inspiration for designing interactive and effective learning materials. One who is a curriculum developer should take this course to gain insights into creating competition math curricula.
Actuary
An actuary assesses and manages financial risks, particularly in the insurance and finance industries. Actuaries rely heavily on mathematical and statistical modeling to predict future events and calculate probabilities. The course may be useful by offering exposure to key mathematical concepts, including Algebra, Counting and Probability, and Number Theory. The structured problem-solving approach emphasized in the course is directly applicable to actuarial work, which involves breaking down complex problems into smaller, manageable steps. One who wants to become an actuary should take this course to strengthen their mathematical foundation.
Operations Research Analyst
Operations research analysts use mathematical and analytical techniques to improve organizational efficiency and decision-making. This typically requires an advanced degree (master's or phd for example). This course, by covering Algebra, Geometry, Counting and Probability, and Number Theory, may be useful for understanding and applying quantitative models. These concepts are fundamental to optimization, simulation, and statistical analysis, which are core tools for operations research analysts. One who wants to become an operations research analyst may wish to take this course to strengthen their mathematical foundation.
Data Analyst
A data analyst collects, processes, and analyzes data to extract meaningful insights and support decision-making. While seemingly distinct, the problem-solving skills emphasized in the course are directly relevant to data analysis. The course focuses on breaking down complex problems into smaller, manageable parts, a critical skill for data analysts who handle large datasets. The course's focus on Algebra, Counting and Probability may be useful, as these are fundamental for statistical analysis and modeling. One who wants to become a data analyst should take this course to refine their analytical and problem-solving skills.
Statistician
Statisticians collect, analyze, and interpret numerical data to draw conclusions and make informed decisions. This typically requires an advanced degree (master's or phd for example). The problem-solving skills and mathematical foundation provided by this course may be useful, especially with its exploration of Algebra, Counting and Probability, and Number Theory. Statisticians use these mathematical concepts to develop and apply statistical models. The course's structured approach to problem-solving can assist with learning more advanced statistical techniques. One who wants to become a statistician should start with this course to build a solid base in math.
Economist
An economist studies the production, distribution, and consumption of goods and services. This typically requires an advanced degree (master's or phd for example). Economists use mathematical models and statistical analysis to understand economic phenomena and predict future trends. The course's coverage of Algebra, Counting and Probability helps develop a foundation for understanding econometric models. The analytical skills honed in the course is relevant to economic research and policy analysis. One who wants to become an economist may find the course can help build quantitative skills.
Cryptographer
A cryptographer designs and analyzes encryption algorithms to secure data and communications. This typically requires an advanced degree (master's or phd for example). Cryptography relies heavily on mathematics, including Number Theory, Algebra, and Discrete Mathematics. This course’s emphasis on Number Theory is an important initial step that may be useful and help provide a foundation for more advanced study. One who wants to become a cryptographer may find that this course builds the analytical and problem-solving abilities needed for success.
Financial Analyst
Financial analysts evaluate financial data, provide investment recommendations, and manage financial risk. The analytical and problem-solving skills fostered in the course are valuable in this field, as financial analysts often need to solve complex mathematical problems and interpret data. The course's focus on Algebra, Counting and Probability may be useful for understanding statistical models and financial calculations. One who wants to become a financial analyst may find this course helpful to sharpen their quantitative reasoning abilities.
Game Developer
Game developers create video games, which involves programming, design, and problem-solving. The course may be useful by strengthening problem-solving skills, which are crucial for game development. Game developers frequently use mathematical concepts, especially Algebra, Geometry, and Counting and Probability, for designing game mechanics, simulating physics, and creating artificial intelligence. The course's focus on competition math can inspire innovative game designs and challenges. One who wants to become a game developer will find that this course aids in solidifying their problem-solving foundation.
Software Engineer
Software engineers design, develop, and maintain software systems. The problem-solving skills and logical thinking cultivated in the course are highly transferable to software engineering. The course may be useful by helping one learn how to break down complex problems into smaller, manageable components, a crucial skill in software development. Concepts in discrete mathematics, such as those covered in Counting and Probability, are also relevant to algorithm design and analysis. Take this course to enhance your problem-solving and analytical abilities, which are essential for success as a software engineer.
Financial Planner
Financial planners help individuals manage their finances and achieve their financial goals. The course may be useful because it provides a foundation for understanding financial concepts and calculations. Financial planners often use mathematical models to forecast investment returns, calculate retirement savings, and assess risk. The course's focus on Algebra, Counting and Probability can aid in these analyses. One who wants to become a financial planner should consider taking this course to sharpen their quantitative reasoning abilities.
Market Research Analyst
A market research analyst studies market conditions to examine potential sales of a product or service. The 'Mastering AMC 10' course may be useful as it can enhance quantitative and analytical skills, which are essential for analyzing market data. Market research analysts may use Algebra, Counting and Probability to interpret statistical models and assess consumer behavior. The problem-solving techniques taught in the course can be applied to designing surveys and analyzing research results. One who wants to become a market research analyst should take this course to develop their mathematical reasoning abilities.

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Mastering AMC 10.
Provides a comprehensive introduction to problem-solving techniques essential for math competitions like the AMC 10. It covers a wide range of topics, including algebra, geometry, number theory, and combinatorics, with a focus on developing problem-solving skills. It is commonly used as a textbook for students preparing for math competitions. This book adds depth to the course by providing a structured approach to problem-solving.
Delves into advanced problem-solving techniques and strategies applicable to various math competitions. It covers a wide range of topics with challenging problems and detailed solutions. This book is more valuable as additional reading to deepen understanding. It adds breadth to the course by exposing students to a wider range of problem-solving approaches.

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