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1999 Harvard-MIT Math Tournament Results

In 1999 the contest was run jointly at Harvard-MIT and Stanford University. Composite results are listed only for the events indicated below. We shared some questions with Rice University, but since we each made our own tests so the results are incomparable.

Here are the final results from the 1999 contest:

Errata

Unfortunately we're not perfect, so there were a few mistakes. Here are a few corrections:
[Note: awards given at the awards ceremony are final.]

  • Advanced Topics #9 is flawed because the mint has to produce 100% legitimate, correctly weighted coins for the numbers to work out, which contradicts the statement of the problem.
  • Calculus #6 didn't specify degrees, but the more serious problem is that if you're working in degrees, then the derivative of sin x is (pi/180)cos x, not cos x.
  • Calculus #8 is flawed because the problem does not specify how to choose a point randomly in the circle. If you use a uniform distribution, then the solution given is incorrect (it turns out to be something more like 3/2 - ln4).
  • Guts Round #12 should have said positive integers. As stated, the answer is 2.
  • Guts Round #16 should have stated that ABC is the equilateral triangle.
  • Guts Round #20 should have specified that the bricks are 1 foot long.
  • Team Round #7 should have used the same index for i and n.
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