<p>I'm a sophomore and I recently took an AMC test for the first time (the 2008 AMC10B) and got a 99, well below the score of 120 needed to qualify for the AIME. Is it possible for me to raise my score to a competitive level merely through practice and analysis of test problems?</p>
<p>Definitely. If you look at threads about the AMC/AIME (there’s a few threads around here, especially in the MIT forums), you’ll see that practice is the most important thing.</p>
<p>Many people have practiced their way from mediocrity to the USAMO. I would get the Art of Problem Solving Books, and do the old tests on their website. You’ll start noticing patterns.</p>
<p>^ Agreed completely with Luminouzz. I’d actually argue that the vast, VAST majority of the people who qualified for the AIME/USAMO or beyond have at least done some form of training or practice. I also second the AoPS books; they’re extremely helpful resources.</p>
<p>Thanks for the advice! I’ve ordered AOPS 1, and if I somehow manage to qualify for the AIME I’ll order the second book. Another question: is scratch paper allowed on the AMCs, or are you required to do everything mentally?</p>
<p>^ Scratch paper is allowed.</p>