<p>A composite score of 31 is the 98th percentile, whereas a 32 and up is the 99th percentile. Personally, I don’t think there is much difference whether you have a 31-32 or a 35-36, you’re still in the same elite class of test takers. Also, when you have a composite score that puts you in the 98th-99th percentile, you risk lowering your score on a retake, but with the ACT this doesn’t really matter since you control whether the new score is reported. Perhaps its better to focus on improving the other components of your applications (ECs, recommendations, gpa, aps, etc.) rather than worrying about getting another point or two on the ACT.</p>