2008 AIME II Problems

Problem 1

Let , where the additions and subtractions alternate in pairs. Find the remainder when is divided by .

Solution

Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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Problem 10

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Problem 11

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Problem 12

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Problem 13

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Problem 14

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Problem 15

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See also

• American Invitational Mathematics Examination
• AIME Problems and Solutions
• Mathematics competition resources