Category Archives: Contest Math

Do you believe this?

Here’s a triangle: I’ll use the vertex labels to also denote the corresponding angle measures. Take the sines of all 3 angles in the triangle: , , and . Would you believe it if I told you that these three … Continue reading

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2013 AIME 2 Problem 10

I’ve been asked about the following problem from the 2013 AIME 2 a few times, so I decided to blog a couple of solutions for it: Given a circle of radius , let A be a point at a distance from … Continue reading

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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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Use Your Mind to Save Yourself Time

I’m looking forward to Games Night at the Math Prize for Girls coming up this weekend. I’ve been working with the author of “Mess or Math?” to create a really fun math activity and I hope many of you who … Continue reading

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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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2012 AIME 1 Problem #12

I was checking out Mess or Math?’s cool blog and her latest post wonders whether problem 12 on the 2012 AIME 1 has a simple solution. Simple is a subjective term. The problem’s setup certainly suggests invoking things like the … Continue reading

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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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Message to our Members

I wrote a message for one of our members, but I’d like to make it available to all our members and any student of math who might be interested, so I adapted it into this blog post.

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