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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.
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.
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.
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
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
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
Math Contests v. Mathematics
In math contests, participants match wits against humans (the contest designers). In mathematics, participants match wits against the mathiverse!
Time Limits: Limitations and Lamentations
Yesterday, a parent asked me if we’re going to have time limits for solving math problems in Math Contest Prep. She was concerned because her daughter does not like working under severe time constraints. Well, I share this parent’s concerns … Continue reading
Avoid Computations – Use Variables!
If you’re like me, you’re prone to computational error. One technique that helps minimize such errors is to use variables and delay substitution of specific values for as long as possible. Problem #14 on the 1990 AIME can be used … Continue reading
2010 Math Prize for Girls, Problems 16-20
Problem #16 This problem involves standard manipulations with power series. In this case, technical issues about convergence are not important, so you can manipulate the expressions much as though they were polynomials and use the fact that if two power … Continue reading
