Prizes

The USAMTS awards prize books, mathematical software, and T-shirts to the top 45% of students, with a maximum of 500 prize recipients. The prize levels are:

Gold winners each receive 3 prize books, silver and bronze winners each receive 2 prize books, and honorable mention winners receive 1 prize book. Higher prize levels get to select their prizes sooner. Recent prize books include:

All prize recipients will also receive free subscriptions to Wolfram software. In 2024–2025, eligible students received free one-year subscriptions to WolframOne. We thank Wolfram Research for generously donating these prizes.

Additionally, all prize recipients receive a USAMTS T-shirt featuring one of the problems from the year’s contest.

All students who score 68 or higher (out of 75) on the USAMTS qualify to take the American Invitational Mathematics Examination (AIME), which is the second contest in the process of selecting the team that will represent the USA at the International Mathematical Olympiad. Students who qualify for the AIME via the USAMTS also have the potential to qualify for the USAJMO and USAMO contests. The MAA, which administers the USA(J)MO contests, will provide 25 USA(J)MO slots to USAMTS students who did not qualify for the USA(J)MO via their AMC + AIME index scores. The USAMTS is allocating 15 slots for the USAMO and 10 slots for the USAJMO; participation in the USAJMO is limited to students in 10th grade and below.

Students who are interested in the USAMTS pathway to the USA(J)MO will be ranked as follows:

1. AIME score (descending order)

2. USAMTS score (descending order)

For example, a student who scores 14 on the AIME and 68 on the USAMTS will be prioritized over a student who scores 13 on the AIME and 75 on the USAMTS.

In the event that multiple students are tied for the final slot, a tiebreaker procedure will be used. The student with the highest round 3 USAMTS score will advance, and if the students are still tied, the student with the highest round 2 USAMTS score will advance. If students have identical scores on all three rounds, we will break the tie problem by problem. The student who scores highest on round 3 problem 5 (R3P5) will advance, and we will go to the next problem if students are still tied. The order in which problems are considered will be R3P5, R2P5, R1P5, R3P4, R2P4, R1P4, R3P3, R2P3, R1P3, R3P2, R2P2, R1P2, R3P1, R2P1, R1P1. We are currently evaluating further tiebreaker procedures in the (hopefully unlikely) scenario that the tied students have the same score on every USAMTS problem.

As we receive questions from students, we reserve the right to make clarifications to the above policy.

This qualification pathway is only for students who qualify for the AIME via the USAMTS.