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Textbook
Introduction
1. Algebra
2. Geometry
3. Number theory
4. Counting and probability
5. Intermediate topics (AMC 10/12)
6. Advanced topics (AMC 12)
7. General approaches
8. Practical strategies
Wrapping up
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Introduction
Achievable AMC

Introduction

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Welcome to Achievable’s AMC course!

The AMC (American Mathematics Competitions) are a series of math contests for middle and high school students. They focus on problem-solving and mathematical reasoning. This course gives you the explanations, strategies, and practice you need to prepare confidently for the AMC exams.

Eligibility

AMC 8: Open to students in 8th grade or below and under 14.5 years old on the day of the competition. AMC 10: Open to students in 10th grade or below and must be under 17.5 years old on the day of the exam.

AMC 12: Open to students in 12th grade or below and must be under 19.5 years old on the day of the exam.

Exam format

AMC 8

  • Number of Questions: 25 multiple-choice
  • Time Limit: 40 minutes
  • Scoring: 1 point per correct answer, no penalty for incorrect answers (max score: 25)
  • No calculators allowed

AMC 10/12

  • Number of Questions: 25 multiple-choice
  • Time Limit: 75 minutes
  • Scoring: 6 points for each correct answer, 1.5 points for each unanswered question, 0 points for incorrect answers (max score: 150)
  • No calculators allowed

Taking this course

This course is designed for students preparing for any AMC level. Topics are organized into the sections below. Each section contains three to seven chapters, and most chapters include instruction and quiz questions for every level.

  • The Intermediate topics section includes chapters only for AMC 10 and AMC 12.
  • The Advanced topics section includes chapters only for AMC 12.

Use the table below to see which sections apply to each exam.

Section title AMC 8 AMC 10 AMC 12
Algebra x x x
Geometry x x x
Number theory x x x
Counting and probability x x x
Intermediate topics x x
Advanced topics x
General approaches x x x
Practical strategies x x x

Each chapter includes discussions of key concepts and in-chapter AMC questions. After you finish a chapter, you’ll answer six quiz questions:

  • Three AMC-style questions
  • Three drill questions that target the specific skills used in those AMC-style questions

Drill questions also include optional hints.

As you work through the course, Achievable automatically saves any quiz questions you answer incorrectly. These appear on your dashboard as review questions. The list grows as you complete more chapters, and it shrinks as you correctly answer review questions.

We recommend doing a few review questions each day to reinforce concepts you previously missed.

Final thoughts

The textbook’s wrapping-up portion includes practical details about taking the AMC exams, such as how to register, exam cost, and test-taking options.

Achievable exam prep includes an online textbook, review questions, and full-length practice exams. You’ll get the best results by moving through the course in order: learn the concepts in the textbook, then build speed and accuracy with practice problems and full-length exams.

To set up your study plan, enter your test date into the dashboard. Achievable will automatically create a daily schedule to keep your preparation on track.

Eligibility

  • AMC 8: ≤8th grade, <14.5 years old
  • AMC 10: ≤10th grade, <17.5 years old
  • AMC 12: ≤12th grade, <19.5 years old

Exam format

  • AMC 8:
    • 25 multiple-choice, 40 minutes, max score 25
    • 1 point per correct, no penalty for wrong answers
    • No calculators
  • AMC 10/12:
    • 25 multiple-choice, 75 minutes, max score 150
    • 6 points per correct, 1.5 points per blank, 0 for wrong answers
    • No calculators

Course structure

  • Sections by topic and AMC level:
    • Algebra, Geometry, Number theory, Counting and probability: all levels
    • Intermediate topics: AMC 10 & 12 only
    • Advanced topics: AMC 12 only
    • General approaches, Practical strategies: all levels
  • Each chapter: key concepts, in-chapter AMC questions, 6 quiz questions (3 AMC-style, 3 drills with hints)

Review and practice

  • Incorrect quiz answers saved as review questions
  • Review questions appear on dashboard until answered correctly
  • Daily review recommended for reinforcement

Final thoughts

  • Course includes textbook, review questions, full-length practice exams
  • Best results: follow course order, practice regularly
  • Enter test date to generate personalized study schedule
Next  | 1.1 Linear equations and inequalities
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Introduction

Welcome to Achievable’s AMC course!

The AMC (American Mathematics Competitions) are a series of math contests for middle and high school students. They focus on problem-solving and mathematical reasoning. This course gives you the explanations, strategies, and practice you need to prepare confidently for the AMC exams.

Eligibility

AMC 8: Open to students in 8th grade or below and under 14.5 years old on the day of the competition. AMC 10: Open to students in 10th grade or below and must be under 17.5 years old on the day of the exam.

AMC 12: Open to students in 12th grade or below and must be under 19.5 years old on the day of the exam.

Exam format

AMC 8

  • Number of Questions: 25 multiple-choice
  • Time Limit: 40 minutes
  • Scoring: 1 point per correct answer, no penalty for incorrect answers (max score: 25)
  • No calculators allowed

AMC 10/12

  • Number of Questions: 25 multiple-choice
  • Time Limit: 75 minutes
  • Scoring: 6 points for each correct answer, 1.5 points for each unanswered question, 0 points for incorrect answers (max score: 150)
  • No calculators allowed

Taking this course

This course is designed for students preparing for any AMC level. Topics are organized into the sections below. Each section contains three to seven chapters, and most chapters include instruction and quiz questions for every level.

  • The Intermediate topics section includes chapters only for AMC 10 and AMC 12.
  • The Advanced topics section includes chapters only for AMC 12.

Use the table below to see which sections apply to each exam.

Section title AMC 8 AMC 10 AMC 12
Algebra x x x
Geometry x x x
Number theory x x x
Counting and probability x x x
Intermediate topics x x
Advanced topics x
General approaches x x x
Practical strategies x x x

Each chapter includes discussions of key concepts and in-chapter AMC questions. After you finish a chapter, you’ll answer six quiz questions:

  • Three AMC-style questions
  • Three drill questions that target the specific skills used in those AMC-style questions

Drill questions also include optional hints.

As you work through the course, Achievable automatically saves any quiz questions you answer incorrectly. These appear on your dashboard as review questions. The list grows as you complete more chapters, and it shrinks as you correctly answer review questions.

We recommend doing a few review questions each day to reinforce concepts you previously missed.

Final thoughts

The textbook’s wrapping-up portion includes practical details about taking the AMC exams, such as how to register, exam cost, and test-taking options.

Achievable exam prep includes an online textbook, review questions, and full-length practice exams. You’ll get the best results by moving through the course in order: learn the concepts in the textbook, then build speed and accuracy with practice problems and full-length exams.

To set up your study plan, enter your test date into the dashboard. Achievable will automatically create a daily schedule to keep your preparation on track.

Key points

Eligibility

  • AMC 8: ≤8th grade, <14.5 years old
  • AMC 10: ≤10th grade, <17.5 years old
  • AMC 12: ≤12th grade, <19.5 years old

Exam format

  • AMC 8:
    • 25 multiple-choice, 40 minutes, max score 25
    • 1 point per correct, no penalty for wrong answers
    • No calculators
  • AMC 10/12:
    • 25 multiple-choice, 75 minutes, max score 150
    • 6 points per correct, 1.5 points per blank, 0 for wrong answers
    • No calculators

Course structure

  • Sections by topic and AMC level:
    • Algebra, Geometry, Number theory, Counting and probability: all levels
    • Intermediate topics: AMC 10 & 12 only
    • Advanced topics: AMC 12 only
    • General approaches, Practical strategies: all levels
  • Each chapter: key concepts, in-chapter AMC questions, 6 quiz questions (3 AMC-style, 3 drills with hints)

Review and practice

  • Incorrect quiz answers saved as review questions
  • Review questions appear on dashboard until answered correctly
  • Daily review recommended for reinforcement

Final thoughts

  • Course includes textbook, review questions, full-length practice exams
  • Best results: follow course order, practice regularly
  • Enter test date to generate personalized study schedule

Related readings

  • Wrapping up