Mixed difficulty · original practice

AIME practice

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Format, timing & official papers

Answers are integers from 000 to 999; enter 7 or 007. Historical AIME papers have 15 problems over three hours. MAA announces two 90-minute parts and computer delivery for 2027. This is an original short practice set, not a full AIME paper. No calculator.

Official guidance & papers ↗

Timed rounds select 10 questions from this bank, with 12 minutes per question. Your score is practice feedback, not a prediction of an official result.

Study mode · browse all 60 questions, with hints and explanations.

ORIGINAL PRACTICE · QUESTION 1 OF 60

AIME styleInteger answer · 000–999Inspired by the format · not an official paper

Let $N=2^8\cdot3^5\cdot5^2$ . How many positive divisors of $N$ are perfect squares?

Your integer answer (000–999)

Rough working (optional)

Your working

Question reference: aime-01Report a question →

Need a nudge?Three small hints · no answer revealed