<p>SAT I Math: 800
Math IIC: 800
AP Calculus BC-5
AP Statistics- Taking it currently
Honors Multivariate Calculus
Honors Linear Algebra
Honors Differential Equations
Honors Advanced Topics in Mathematics </p>
<p>Accepted SCEA to Stanford. Accepted Regular Decision to MIT and Caltech.</p>
<p>AMC: 117
AIME: 4
Math IIC: 800
Math SAT: 790
USAMTS: Bronze
NEML: 5th and 2nd highest in school
Taken college level statistics
Currently taking BC Calc</p>
<p>AMC:134.5
AIME:11
IIc:800
Ic:800
SAT:800
ACT:36
Florida Math Bowl: 2nd place in individual for my school size. Was probably top 5 overall, but the competition doesn't break it down that way.</p>
<p>Qualified USAMO last year, didn't take it cause a friend died. I'm still waiting on the cutoff this year but I may qualify again.</p>
<p>Decision: Rejected, bad GPA. Plus, my application wasn't very enthusiastic. I was mearly applying to see if I got in and wasn't planning on attending. At least thats what I keep telling myself.</p>
<p>best AMC 10: 126ish
best AMC 12: 126ish
best AIME: 5
Grade for first AIME qualification: 8</p>
<p>Junior math: AP calc BC & stats (both 5's)
Senior: EPGY Multivariable Differentiation (um... not so great grade, but MIT didn't/doesn't know, nor will they ;P )</p>
<p>AMC12: 125.5
AIME: 6 (that's this year, though - taken after I got accepted, MIT saw my 2005 score of 3)
SAT-M: 800, SATII Math IIC: 800
BC Calc, Stat: 5s</p>
<p>Didn't take AIME last year but got 5 this year and was quite happy bc I thought it was pretty darn hard. How the **** did you do the one where eight blocks are stacked up and they want to know the number of possiblilties?</p>
<p>(A bit off-topic, but: Imagine you have a 7-block tower. The eighth block can go on the bottom, on top of the 7, or on top of the 6--three possibilities. Similarly, in a six-block tower the 7 could be inserted at the bottom or on top of the 5 or 4... all the way down to the 2 being placed either above or under the 1--> 3^6*2 possibilities. A pretty clever problem! Unfortunately I didn't see that during the test; heard the solution later.)</p>
<p>
[quote]
Didn't take AIME last year but got 5 this year and was quite happy bc I thought it was pretty darn hard. How the **** did you do the one where eight blocks are stacked up and they want to know the number of possiblilties?
[/quote]
Well... flierdeke already explained how the answer works, but I can affirm that it is possible to notice during the course of the test. At first, I didn't have any idea what the answer to the problem would be - I thought of several wacky combinatorial approaches, but they all failed (pretty abysmally, too). So then I decided to reduce the problem to its simplest forms. What about a one-block tower under the same restrictions? (only one, of course) A two-block tower? (still trivial) A three-block? And so on... when you examine it that way, you naturally try to look for what the relationship (if any) between towers of consecutive sizes might be. Once you've taken that approach, it's not so bad.</p>
<p>I'm not sure about the premise of this thread, though, especially the title. The term "math abilities," in particular, is a stretch when referring to the AMC and AIME tests. Certainly there is a correlation between these scores and math ability, but it is nowhere near perfect. </p>
<p>First off, there is an enormous amount of variance - did people miss problems because they genuinely didn't see how to solve them or because they made some trivial mistake somewhere? This, as my own experience (as well as many others', I'm sure) made painfully clear, is a significant issue. There is also the issue of practice - many of the mathematical tricks on a test like the AIME aren't really useful in "real math," so some talented math students don't see the point in practicing them. Many others simply aren't aware of the tests or the usefulness of practice, and they score substantially below what their "potential" might be. </p>
<p>These tests can be useful because they can be fun ways to encourage math study. They also have some value because they provide a better indication of math ability than any other widespread high school test. Don't forget, however, that this is really because the other tests that might conceivably identify ability - the math SAT and APs - are basically worthless at this level.</p>
<p>790 SAT Math
800 IIC
AP Calculus BC (AB subscore) 5(5)
Honors Linear Algebra and Multivariable Calculus
Honors Advanced Calculus Based Physical Chemistry
Honors Advanced Math Seminar</p>
<p>800 SAT Math
800 IIc
Never took AMC or AIME :(
Calc I, II, Multivariable Calc I, II, Linear Algebra, Differential Equations, Graph Theory, and hoping to finish up with Real Analysis or Modern Algebra (or both!)</p>