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Middle School Math Contests: Number Theory and Geometry

Summer Mathematics
Schedule in 2026
We're not currently offering any sections of this course. Fill out this course interest form to be notified if we open one!

New to AoPS or unsure about which summer camp to enroll in? Click here to try the self-diagnostic test for Middle School Math Contests: Number Theory and Geometry!

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 number theory and geometry, 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.


SYLLABUS


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: Number Theory and Geometry course.

Problem 0
Problem 1
Problem 2
Problem 3
Problem 4

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

Kelly B.,

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher