Art of Problem Solving

Math texts, online classes, and more for students in grades 5-12.

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Books for Grades 5-12 Online Courses

Engaging math books and online learning for students ages 6-13.

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Books for Ages 6-13 Beast Academy Online

Small live classes for advanced math and language arts learners in grades 2-12.

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Middle School Math Contests: Algebra and Counting

Summer Mathematics

Middle-school math contests such as MATHCOUNTS are a launching pad for many of the best math students. In this course designed for rising 6th through 8th graders, we draw problems from several middle-school contests, including MATHCOUNTS and the American Mathematics Competitions 8 (AMC 8), as well as beginning high-school contests like the American Mathematics Competitions 10 (AMC 10). Students are introduced to important topics in algebra, counting, and probability, and will work individually or collaboratively to solve challenging problems related to these topics. Students will also participate in practice individual and team competitions during the camp, which will provide them both mathematical skills and test-taking experience that will prepare them for key events in the upcoming school year.

This camp is a challenge which builds on foundational knowledge that students should already have from their middle school math courses. Students should expect to encounter difficult problems and topics throughout the camp.

This two-week course meets Monday through Friday for three hours each day.

Space is very limited for our summer programs. Please do not wait until the last minute to enroll. If there are more than two weeks before the course starts, a $200 deposit will be due when enrolling, with the balance due two weeks before the course begins.

Sample Problems

Below are examples of some of the types of problems that students will encounter in our Middle School Math Contests: Algebra and Counting course.

Problem 0

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

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AoPS Academy has provided a wonderful opportunity for my children to advance and hone their knowledge and skills in mathematics. My children have attended for a few years now, and they love it. They always look forward to attending class. I truly admire the hard work and dedication of all of the staff towards making AoPS Academy a center of excellence for math and language arts. Both of my sons, one in high school and one in middle school, are ahead of their schoolmates in their math classes. Not only that, they have both developed a love for this subject aided by the exposure they have received at AoPS Academy. They enjoy the interactive method of teaching, and look forward to their classes. The courses offered at AoPS Academy keep them engaged and challenged. The focus on high achieving students, along with their selective admissions standards, helps to maintain high standards. I have many business associates and friends around the United States, and have told them about AoPS Academy. They are so envious that we have such a wonderful opportunity for such rigorous instruction with the Art of Problem Solving world class curriculum. I look forward to the day when there will be an AoPS Academy in every major city in the country.

Sumali S.