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Mathematics

AIME Practice Tests

53 tests

The AIME (American Invitational Mathematics Examination) is a 15-question exam in which every answer is an integer from 0 to 999. It is the second stage of the competition ladder, taken by students who qualify through the AMC 10 or AMC 12, and results feed into selection for the USA(J)MO.

Turtle supports AIME's integer-answer format directly: type your answer, submit, and get graded instantly. Take full past papers under the real three-hour limit and review every problem you missed to sharpen for the next one.

Questions
15 integer-answer (0–999)
Time limit
3 hours
Scoring
1 point per correct answer, no penalty (15 max)
Eligibility
AMC 10 / AMC 12 qualifiers
Calculator
Not permitted

Topics covered

  • Algebra
  • Geometry
  • Number theory
  • Combinatorics
  • Probability
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AIME — frequently asked questions

How are AIME answers submitted?

Every AIME answer is an integer from 0 to 999. On Turtle you type the integer directly rather than choosing from multiple-choice options.

How is the AIME scored?

Each of the 15 questions is worth one point with no penalty for a wrong answer, so scores range from 0 to 15.

What does the AIME lead to?

AIME scores are combined with AMC scores to determine invitations to the USA Mathematical Olympiad (USAMO) and USA Junior Mathematical Olympiad (USAJMO).