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Online High School Summer Program

Summer 2021: July 26 - August 12, 2021
Application Deadline:
March 4, 2021 for Early Registration
April 29, 2021 for Regular Registration
Register here!

The Summer High School Math Circle is an academically intensive weekday program for students entering grades 9–12 in the fall that runs for three weeks, four hours a day. A typical day consists of a class in the morning, followed by an offline, unsupervised lunch (from 12pm to 1pm), and a problem solving session in the afternoon. Instructors and teaching assistants are very friendly and helpful, and the atmosphere is open and collaborative.

Students are expected to work hard in the program, but also to have fun. Fridays are set aside for unusual activities, mathematical games, team-building, and more.

Our summer program is in its fourteenth year: the first one ran in 2008. The American Mathematical Society has recognized our program with their Epsilon Award for six years now. You can read some of the wonderful comments from past students here.

To subscribe to announcements about student programs, see our subscription page.

Online Summer High School Math Circle   (Register)

When: July 26, 2021 - August 12, 2021
Where: Online.
Early Admission Exam Dates: March 6 & 7, 2021 (exam due on March 7)
Regular Admission Exam Dates: May 1 & 2, 2021 (exam due on May 2)
Application Requirements: Completed application and qualifying exam.
See Application Process below.
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The Online Summer Program is open to all high school students with an interest in learning and doing mathematics above and beyond the regular curriculum.

Interesting topics and intriguing problems will be explored in a casual setting, providing ample challenges for high school students of varying levels. This program emphasizes problem-solving and posing, through a variety of fascinating topics in number theory, algebra, geometry, and more.

This program is appropriate for students wishing to acquire a deeper insight into mathematics, to develop their reasoning and analytical skills, to practice for a math team, or simply to have fun learning and doing wonderful mathematics.

Students are expected to attend the entire 3-week program.

Attendance Policy

Because we have a limited number of places in our program and out of consideration for students on our waiting list, students should attend the full 3 weeks.


All students must take the qualifying exam.

The program consists of three levels - in order of increasing difficulty, they are Green, Blue, and Black. IMPORTANT: the level you indicate at registration is for our informational purposes only. On the exam day itself, all students will receive the same exam divided into sections Green, Blue, and Black. You will then decide to answer questions on one, two or all three sections (we recommend two). You will be admitted to the highest level you qualify for.


Students should have a command of at least first-year high school Algebra. Participation in honor or enrichment courses is desirable.


Students should have a command of Algebra I, Geometry I, and some elementary number theory such as that covered in Green. Prior math enrichment experience, such as NYMC coursework or math team involvement is expected, as well as strong problem solving skills.


Students should have a deep knowledge of algebra, geometry, some combinatorics, and pre-calculus. Students must have experience with mathematical problem solving and proof writing, such as through prior NYMC courses, math team participation, or a similar level of preparation.

College Bridge

This course covers topics normally found in college-level courses. Topics to be covered are polynomials, topological degree, Sturm's Theorem, and the geometry of infinite sums and products for Pi. There is a separate placement test to qualify for this class.

Note that priority is given to students entering grades 9-12 in the Fall. For younger students, we have a two-week weekday program (July 12 - July 23) which will be listed on our Students page by the end of April.

Past Qualifying Exams

Please examine this past qualifying exam to understand what is expected of students entering a given level. In recent years, points were awarded according to the following formula: Multiple Choice - 1; Short Answer - 2; Long Answer - 4. Scores of approximately 20 were enough to be admitted in previous years.

If you feel that HSA (now level Green) is too advanced for you, please consider applying to our High School Problem-Solving course offered at the same time as our Middle School Summer Program (July 12-23).

Online Tools

Google Classroom will be used to manage classroom materials and Zoom will be used for the live sessions. Students are recommended to have a laptop or desktop for these sessions, although a smartphone can be used with limited functionality for the live sessions.

Application Process

Click on "Register" above to start your application. The application process consists of 3 steps:

Step 1:

Registration form with contact information. The bottom portion must be completed by your parent or guardian. You will receive an automated email confirmation upon completing this step, including a link to your Status Page.

Step 2:

Complete the online Application Form with additional questions about your mathematical preparation and interests. The form is available on your Status Page. If these steps are done, you will receive an email to confirm that you’ve completed the application and to remind you of the date and time of the exam.

Step 3:

Qualifying Exams:

  • Early exam: March 6-7. You will take a 2-hour exam in a window of your choosing. The submission deadline is midnight March 7.
  • Regular exam: May 1-2. You will take a 2-hour exam in a window of your choosing. The submission deadline is midnight May 2.

You may take either or both exams, indicating your choice(s) on the Application Form in Step 2.

Admission Process

Up to 20% of our HS Summer Program places will be given to Early Admission students (March 6-7). Students not offered a place will automatically join the pool for students applying for regular admission (May 1-2).

You can expect to hear from us within four weeks of taking the qualifying exam. If invited into the program, you will be placed into one of the levels based primarily on the qualifying exam, although we may contact your teacher reference. Our determination of placement is final.

We anticipate full enrollment for the program and a waiting list to form. Any remaining seats will be filled on a rolling basis.

Program Cost

The cost of the program is $700. If invited, we require a $140 deposit within a week to secure your spot. If the deposit is not received, your registration will be canceled. Full payment of the program fee is due by June 8.

We are able to reduce the fee significantly for families to whom it presents a financial hardship. Invited students may request a fee reduction during the payment process. Financial aid does not factor into our admissions decisions.

Cancellation Policy

You may cancel by June 8 and receive a refund except for the $140 deposit. After June 8, you may cancel for a 50% refund. After June 30, the entire program fee ($700) is non-refundable. If you find out that you need to cancel, please let us know as soon as possible out of consideration for students who may be waiting for a spot.

2021 Online Google Classroom Logos

We are looking for great new designs for the 2021 Google Classroom Logos and are inviting our current students and alumni to come up with one! The top designs will be used for our Google Classroom Logos.