Practice

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By problem position

• Problems 1–10 drill

  30 early problems (2010+): the zero-error zone · 30 problems · 30 min

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• Problems 11–15 drill

  30 one-idea problems · 30 problems · 45 min

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• Problems 16–20 drill

  30 problems from the band that decides qualification · 30 problems · 75 min

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• Problems 21–25 challenge

  20 late problems for after everything else is solid · 20 problems · 75 min

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By category

• Algebra set

  20 problems, difficulty 2–4, one per topic where possible · 20 problems · 60 min

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• Number Theory set

  20 problems, difficulty 2–4, one per topic where possible · 20 problems · 60 min

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• Counting & Probability set

  20 problems, difficulty 2–4, one per topic where possible · 20 problems · 60 min

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• Geometry set

  20 problems, difficulty 2–4, one per topic where possible · 20 problems · 60 min

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• Logic, Statistics & Miscellaneous set

  20 problems, difficulty 2–4, one per topic where possible · 20 problems · 60 min

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By technique

• Technique: casework

  Split into exhaustive cases and handle each · 12 problems · 40 min

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• Technique: complementary counting

  Count the complement and subtract from the total · 12 problems · 40 min

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• Technique: plug in values

  Test small/specific values or special cases to find or verify the answer · 12 problems · 40 min

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• Technique: coordinate bash

  Place the figure on coordinates and compute · 12 problems · 40 min

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The qualifying zone (difficulty 3–4)

• Qualifying zone 1

  15 problems of difficulty 3–4 in 45 minutes: the score-deciding zone · 15 problems · 45 min

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• Qualifying zone 2

  15 problems of difficulty 3–4 in 45 minutes: the score-deciding zone · 15 problems · 45 min

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• Qualifying zone 3

  15 problems of difficulty 3–4 in 45 minutes: the score-deciding zone · 15 problems · 45 min

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Trap problems

• Trap problems

  20 problems whose most common wrong answer is a designed trap · 20 problems · 60 min

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