**More Sample Problems**

On this page, we will occasionally post some example problems that have appeared in other competitions or in the literature.

Older problems (with solutions) are posted progressively lower down the page.

__Please keep in mind that these are examples only__, and do not necessarily demonstrate the full scope of difficulty levels or topics of problems that may appear on the competition.Older problems (with solutions) are posted progressively lower down the page.

**Problem #22**

Problem #21

Problem #21

Problem #20

Problem #20

Problem #19

Problem #19

Problem #18

Problem #18

Problem #17

Problem #17

Problem #16

Problem #16

Problem #15

Problem #15

**Problem #14**

**Problem #13**

**Problem #12**

**Problem #11**

**Problem #10**

**Problem #9**

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Problems #7 and 8

Problems #7 and 8

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Problem #6 (with solution)

Problem #6 (with solution)

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Problem #5 (with solution)

Problem #5 (with solution)

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Problem #4 (with solution)

Problem #4 (with solution)

**Problem #3 (with solution)**

**Problem #2 (with solution)**

Problem #1 (with solution)

Problem #1 (with solution)