How to Prepare for the AMC 10 Math Contest

High
25 questionsMultiple choice
75 minTime limit
Grade 10 & belowUnder 17.5 yrs
1.5 ptsPer blank answer
About the contest

What is the AMC 10?

The AMC 10 is a 25-question, 75-minute competition for students in grade 10 or below who are under 17.5 years old. It covers algebra, geometry, number theory, probability, and combinatorics, but without trigonometry or calculus.

Format

25 multiple-choice questions in 75 minutes. Blank answers earn 1.5 points, so always put an answer for every question: even a guess can beat a blank.

Who can enter

Students in grade 10 or below who are under 17.5 years old on the day of the contest.

What advances

Top scorers advance to the American Invitational Mathematics Examination (AIME), the next round of the competition.

How to prepare

Review the basics, build strong fundamentals across all topics with the AoPS Introduction series, master AMC 10 concepts with the free Mastering AMC 10/12 course and book, then take timed past papers, AoPS mocks, and AlphaStar practice tests.

Watch & learn

Video Guides & Omega Learn Courses

Homework & solutions

Homework & Video Solutions

Homework Problems

Class 1 Homework Problems

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Class 2 Homework Problems

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Class 3 Homework Problems

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Class 4 Homework Problems

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Class 5 Homework Problems

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Class 6 Homework Problems

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Class 7 Homework Problems

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Class 8 Homework Problems

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2021 AMC Video Solutions

Get started

Official Info & Registration

Mathematical Association of America (MAA)

The organization that runs the AMC competitions and registration.

Visit MAA โ†’

Alternate testing locations near you

Find a list of alternate AMC 10 testing locations in your area.

Find a site โ†’

Search for a testing site by zip code

Look up a nearby testing site using your zip code.

Search by zip โ†’

American Invitational Mathematics Examination (AIME)

The next round top AMC 10 scorers advance to.

Learn more โ†’
Build a complete toolkit

Books

Drill problems

Problem Trainers

Alcumus (AoPS problem trainer)

Free AoPS tool to practice by topic, adapting difficulty as you improve.

Practice โ†’

Alcumus (aops.com)

The same adaptive AoPS problem trainer, on aops.com.

Practice โ†’

AMC Trivial

Generates problems from past contests by topic or difficulty.

Practice โ†’

MAATester problem search

Search for problems from any contest by topic for targeted drilling.

Search โ†’

Math LLMLab

An AI-powered tool for working through competition math problems.

Explore โ†’

USAMO Guide

A structured pathway from AMC fundamentals up through Olympiad depth.

Explore โ†’
Test yourself

Practice Contests & Mocks

Official past AMC 10 problems & solutions

The gold standard on the AoPS Wiki. Use a 75-minute timer to simulate the real test.

View on AoPS โ†’

AoPS official AMC 10 practice contests

Official-style practice contests from the Art of Problem Solving team.

Take a contest โ†’

AoPS AMC 10 Mock Contest 2022

A high-quality mock written by the Art of Problem Solving team.

Take the mock โ†’

AoPS AMC 10 Mock Contest 2023

Another strong AoPS-created mock at the real test's quality bar.

Take the mock โ†’

AoPS user-created AMC 10 mock contests

User-created mocks from the AoPS forums, good supplemental practice.

Browse mocks โ†’

CMC Mock Contests

A well-regarded set of community mock contests.

Browse mocks โ†’

DMC Mock Contests

Another community-run series of mock contests.

Browse mocks โ†’

OMC Mock Contest

A community mock contest available as a downloadable PDF.

Open mock โ†’
Classes & programs

Courses & Academies

AlphaStar Academy

Math competition courses covering AMC 10 and beyond.

View courses โ†’

Art of Problem Solving

AoPS's class schedule of competition math courses.

View schedule โ†’
From experience

Tips for Test Day

1

Bring colored pencils

For geometry, colors help you mark regions and spot similar triangles quickly. Colored pens are allowed and underused.

2

Re-read what's asked

A classic slip: solving for a side length when the question wants the area. Check the last sentence before bubbling.

3

Verify your answer sheet

Towards the end, confirm every bubble matches your work by question number, not just a string of letters.

4

Skip and come back

Every question is worth the same. If you're stuck, move on. A later problem may be from your strongest topic.

5

Don't fear the back half

End-section problems aren't always the hardest. Some may fall in your strongest subject, so scan and solve those first.

6

Think before guessing

Blank answers earn 1.5 points; a wrong answer earns zero. Only guess if you can eliminate two or more choices.

7

Sleep, eat, stay calm

A rested mind makes fewer silly mistakes. Don't cram past midnight the night before.

8

Take a timed mock

Do at least one full past test under real conditions (75 minutes, no breaks) so test day feels familiar.

9

Review, don't cram

The day before, refresh formulas and concepts you already know rather than starting new topics.

Per MAA guidelines

Allowed Materials

โœ“ Allowed

  • Writing utensils (including colored pens and pencils)
  • Blank scratch paper
  • Rulers
  • Erasers

โœ• Not allowed

  • Calculators
  • Smartwatches
  • Phones or computing devices
  • Compasses
  • Protractors
  • Graph paper