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MathCastleCompetition practice

AIME — Hard Edition

Hard Edition

Four original fifteen-problem papers that open around AIME #7 and finish beyond the hardest real #15. Integer answers, every one machine-checked, every problem with a worked solution.

How a paper runs

15 problems · 3 hours

  1. This is a 15-question test. Every answer is an integer from 000 to 999 inclusive.
  2. Record your answers as three digits, with leading zeros if needed (for example, 007).
  3. 1 point for each correct answer. There is no penalty for a wrong answer.
  4. Only scratch paper, graph paper, rulers, compasses and erasers are allowed. No calculators.
  5. Figures are not necessarily drawn to scale.
  6. You have 3 hours to finish the examination.

Practice papers

  • AIME — Hard Edition — Practice Contest 1 Sit it PDF
  • AIME — Hard Edition — Practice Contest 2 Sit it PDF
  • AIME — Hard Edition — Practice Contest 3 Sit it PDF
  • AIME — Hard Edition — Practice Contest 4 Sit it PDF
Random practice Study course

MathCastle practice paper. Original problems in the contest format; not affiliated with or endorsed by the contest organisers.

AIME — Hard Edition — MathCastle