Satisfactory. Keep cooking.

The OTIS Mock AIME is an annual 3-hour exam consisting of 15 problems whose answers are integers between $0$ and $999$. As the name suggests, it is yet another unofficial paper intended to emulate the American Invitational Mathematics Exam.

The defining characteristic of the OTIS Mock AIME is that all the problems are composed by students from the OTIS program. That is, Evan runs this annual exam as a way to give his students a chance to try their hand at problem composition.

Current edition#

The OTIS Mock AIME 2025 is out! There are two versions this year, I and II. You can do either or both! The submission link is in the PDF file itself (note the links are different for the two versions).

• Download OTIS 2025 Mock AIME I
• Download OTIS 2025 Mock AIME II

Note that the two tests are quite different from each other:

1. The OTIS Mock AIME I is going to be tough. It will definitely be harder than the actual AIME, by perhaps 2 to 4 problems. But more tangibly, it will also have significant artistic license.¹ Problems will freely assume IMO-style background throughout the test, and intentionally stretch the boundary of what constitutes an “AIME problem”.

2. The OTIS Mock AIME II is meant to be more practically useful. It will adhere more closely to the difficulty and style of past official AIME’s. There will inevitably still be some more IMO-flavored problems, but they’ll appear later in the ordering.

Logistics:

• The problems file will provide a link to submit answers. No registration or pre-commitment is required.

• If you’d like to submit for statistics/bragging, the deadline is Monday, January 20, 2025 at 11:59pm Pacific time (for both tests). Please avoid public spoilers for the problems before that date.

• Anyone will be able to download the exam and attempt the problems, and submit their answers for scoring. We may recognize high scores for bragging rights but don’t otherwise offer prizes.

Past exams#

• 2024: (problems) (solutions) (thread) (AoPS) (video)

Format#

Like the AIME, there are 15 problems to solve in 3 continuous hours and all answers are integers ranging from 000 to 999, inclusive.

Problem statements follow ARML 2014 conventions, so for example $\left\lfloor x \right\rfloor$ is the floor of $x$. You may refer to these conventions during the exam.

For scored submissions, no aids other than writing utensils and erasers, scratch paper, graph paper, ruler, compass, protractor are permitted. In particular, books, notes, calculators, cell phones, computers, abacuses, ChatGPT, magic crystal balls, etc., are all prohibited.