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Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
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Books for Ages 6-13 Beast Academy Online
AoPS Academy
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and language arts learners in grades 2-12.
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TRAIN WITH THE WORLD'S TOP MATH MINDS

Perfect for grades 5–12. Since 1993, our students have mastered the critical
thinking and problem solving skills to excel in prestigious competitions,
universities, and careers.

SHOP BOOKS SHOP COURSES

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#1


SINCE 2015, ALL USA INTERNATIONAL MATH OLYMPIAD TEAMMATES HAVE BEEN AOPS
STUDENTS



AS SEEN IN



AS SEEN IN







ART OF PROBLEM SOLVING TRAINS STUDENTS TO APPROACH NEW CHALLENGES BY BREAKING
PROBLEMS DOWN INTO FAMILIAR PARTS.

VIEW COURSES

CRITICAL THINKING

Students focus on advanced problem solving and conceptual understanding—not rote
memorization

LIVE COLLABORATION

Discuss new problems with brilliant peers and mentors from the world's largest
problem solving community.

RESILIENCE

Face new challenges every day and build the confidence to approach future
problems without fear.




ON TRACK TO PRESTIGIOUS UNIVERSITIES

Our students earn admission to the most prestigious universities in the
nation, including:

MIT

HARVARD

STANFORD

PRINCETON

CALTECH

UC BERKELEY

> Many of our students who are mathematically inclined have found Art of Problem
> Solving (AoPS) an indispensable resource.
> 
> – MIT Admissions Office


OLYMPIAD WINNERS TRAIN THE NEXT GENERATION

AoPS curriculum is designed and taught by former math and science Olympians.

VIEW COURSES


STAFF SPOTLIGHT



RICHARD RUSCZYK

Founder and CEO
USAMO Winner
Perfect AIME

DAVID PATRICK

Principal Math Curriculum Editor
USAMO Winner
Putnam Top 10

ALEX SONG

Principal Math Olympiad Curriculum  Developer
Most Highly Decorated IMO Winner



NAOKI SATO

Senior Math Curriculum Developer
Winner of Canadian Mathematical  Olympiad
3-time Director of Canadian IMO Team

ASHLEY AHLIN

Online Math Instructor
MATHCOUNTS Problem Writer
US Chem Olympiad Team Member

MARK EICHENLAUB

Physics Curriculum Team Lead
Coach of the US IPhO Team


AOPS ALUMNI SUCCESS

In the last 9 years, 53 USA International Math Olympiad team members have
medaled and have taken over 300 AoPS Online courses.

41

11

1



1 Million

problem solvers discuss and solve challenges together on AoPS Online—one of the
largest online math communities in the world.

> AoPS online school helps thousands of students each year develop tools needed
> for success in top-tier colleges and in prestigious math competitions.
> 
> – Mathematical Association of America (MAA)

READY TO JOIN OUR COMMUNITY? PICK A CLASS THAT BEST FITS YOUR INTERESTS AND
SCHEDULE.

VIEW COURSES VIEW BOOKS


CHALLENGE YOUR STUDENT TO REACH THEIR FULLEST ACADEMIC POTENTIAL

Learn from the leaders in advanced math, alongside outstanding classmates, with
interactive online math for students grades 5–12.

ONLINE MATH COURSES

Join our live, interactive math classes with expert instructors and talented
peers.

ENROLL NOW

MATH BOOKS

Gain the critical problem solving strategies you need for college and career
success.

SHOP NOW

As seen in







MORE THAN ONLINE MATH: A CREATIVE PROBLEM SOLVING COMMUNITY

Welcome to the world of AoPS Online: A world filled with challenging problems
that require creativity and persistence to solve. A world where students learn
from impressive mentors and role model instructors. A world filled with
inspiring peers who share their love of learning.

Our advanced math curriculum stretches students to their fullest potential. And
the connections students make in the AoPS classroom and online community last a
lifetime.

 * Every class I've taken with AoPS has been fantastic. Everyone does a great
   job helping students succeed while enjoying the process of learning math. I
   love that the students themselves are always open to helping each other out.
   
   – MATTHEW

 * I've developed a lot more confidence in math since taking AoPS Introduction
   to Geometry. In the process of doing harder problems than I ever knew I
   could, I've also begun to see geometry as an art. I'm enjoying math more and
   more!
   
   – AOPS ONLINE STUDENT

 * AoPS courses are a wonderful balance of challenge and guidance, constantly
   stretching students and inviting them to wrestle with problems at their own
   pace until they reach epiphanies. Bravo! I wish AoPS had been around when I
   was in high school.
   
   – AOPS ONLINE PARENT

 * My instructor was great. She was always willing to offer advice and knew just
   how many hints to give to keep problems doable but still satisfying.
   
   – AOPS ONLINE STUDENT

 * My son is eating your classes up. He's always loved math, but cannot get
   enough of it now. He is pumped for each Wednesday. Way to provide the best
   educational product this Dad has found anywhere!
   
   – JOHN C.

 * The combination of videos, textbooks, online problems and book problems has
   been fantastic for our boys. I love that they can do this at their own pace,
   and how motivated they feel now that they're in charge of their own learning.
   
   – AOPS ONLINE PARENT

All members of the 2015–2023 US International Math Olympiad teams are AoPS
alumni.


ONLINE MATH COURSE CATEGORIES

AoPS Online courses take place weekly in our interactive online classroom.
Expert instructors lead cohorts through engaging and rigorous challenges, and
students work with peers to creatively problem solve together.

INTRODUCTORY MATH

Grades 5–10+
Prealgebra to Geometry

Learn more 





INTERMEDIATE MATH

Grades 8–12+
Intermediate Algebra to Precalculus

Learn more 





ADVANCED MATH

Grades 9–12+
Calculus to Olympiad Geometry

Learn more 





WOOT PROGRAMS

Grades 9–12
Worldwide Online Olympiad Training in Math, Physics, and Chemistry

Learn more 





CONTEST PREP MATH

Grades 6–12
Preparation for Math Competitions

Learn more 





COMPUTER SCIENCE

Grades 6–12+
Programming Classes

Learn more 






MATH BOOKS

AoPS offers our advanced math books in both online and paperback format. Our
comprehensive math curriculum covers prealgebra all the way through contest prep
math.

View all 


INTRODUCTORY MATH

Complete introductory math curriculum for students grades 5–10 that covers the
standard Prealgebra/Algebra/Geometry series in depth as well as important
discrete math topics.

View 


INTERMEDIATE & ADVANCED MATH

Challenging math textbooks that prepare students grades 8–12 for advanced
mathematical subjects in high school, college, and careers in STEM fields.

View 


CONTEST PREP MATH

For more than 25 years, math competition winners have relied on AoPS
problem-solving guides for contest prep. Suitable for grades 6–12, and written
by medal winners in MATHCOUNTS, AMC, AIME, and USAMO.

View 


OTHER AOPS PROGRAMS

Art of Problem Solving offers two other multifaceted programs. Beast Academy is
our comic-based online math curriculum for students ages 6–13. And AoPS Academy
brings our methodology to students grades 2–12 through small, in-person classes
at local campuses.

Through our three programs, AoPS offers the most comprehensive honors math
pathway in the world. View a full comparison of our program offerings.





FREE STUDENT RESOURCES

Art of Problem Solving offers a wide variety of free resources for avid problem
solvers, including hundreds of videos and interactive tools like Alcumus, our
popular adaptive learning system.

ALCUMUS

Alcumus is our free adaptive learning system. It offers students a customized
learning experience, adjusting to their performance to deliver problems that
will challenge them appropriately. Alcumus is aligned to our Introductory Math,
Intermediate Algebra, and Precalculus online courses and textbooks.


START LEARNING 

VIDEOS

Our video library offers hundreds of videos featuring AoPS founder Richard
Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to
Algebra, and Introduction to Counting & Probability books and classes.


WATCH NOW 

MATHCOUNTS TRAINER

The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter,
State, and National MATHCOUNTS competitions. Full solutions are provided for
every problem so aspiring MATHCOUNTS mathletes can learn how to approach even
the toughest questions.


START TRAINING 

FOR THE WIN!

Compete with middle school students from around the world with For the Win!
(FTW), inspired by the MATHCOUNTS Countdown Round.


START PLAYING 
View All Resources 



ONLINE COMMUNITY FORUMS

AoPS Online community forums are the place for our creative problem solvers to
connect, question and collaborate. We have a forum for each level and category.

Middle School Math
High School Math
Contests & programs
High school olympiads
College Math
Site Support
visit community 

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