Tag Archives: math contests

2012 Math Prize for Girls: #16-20

Here are comments and solutions to (some of) the problems on the 2012 Math Prize for Girls contest that took place at MIT on September 22.

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2011 Math Prize for Girls: #1-5

Here are comments and solutions to problems 1-5 on the 2011 Math Prize for Girls contest that took place at MIT on September 17, 2011. Earlier I blogged comments and solutions for problems 6-10, problems 11-15, and problems 16-20.

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2011 Math Prize for Girls: #6-10

Here are comments and solutions to problems 6-10 on the 2011 Math Prize for Girls contest that took place at MIT on September 17, 2011. Earlier I blogged comments and solutions for problems 11-15 and problems 16-20.

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2011 Math Prize for Girls: #11-15

Here are comments and solutions to problems 11-15 on the 2011 Math Prize for Girls contest that took place at MIT on September 17, 2011. Click here for comments and solutions for problems 1-5. Click here for comments and solutions for … Continue reading

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Back to Basics: Arctangent

Recently, a student asked me about problem #8 on the 2008 AIME 1 competition, which is reproduced here for your convenience: Find the positive integer such that . She was able to solve this using the sum of arctangents identity … Continue reading

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2011 Math Prize for Girls: #16-20

Here are comments and solutions to (some of) the problems on the 2011 Math Prize for Girls contest that took place at MIT on September 17. I’m going to try to resolve the problems in a straightforward, lo-tech way. I might indicate … Continue reading

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Math Contests v. Mathematics

In math contests, participants match wits against humans (the contest designers). In mathematics, participants match wits against the mathiverse!

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