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Problems for Year 31 (2019-2020)

Note: Year 31 consists of three rounds of five problems each.

Click to download the Round 1 problems

Note: The Problem 1 wording was updated on 9/17 to indicate that this problem has a unique solution.

Round 1 Submission Deadline: October 15, 2019

Web deadline: 8 PM Eastern / 5 PM Pacific on the due date
Mail deadline: Postmarked on or before the due date

Remember to fully justify all your answers - don't just send numerical answers.

Read the complete rules to learn more about how to submit your solutions.

You can also check out past years' USAMTS problems.

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