<p>I didn’t study for either test. I was sort of caught up in this whole “I want to present an honest reflection of my abilities” phase. </p>
<p>I’m really confused about a couple things, though. </p>
<ol>
<li><p>What might have made my reading score vary so drastically? </p></li>
<li><p>I’ve always been advanced in math; have been taking calculus since freshman year. Why is my math so low? What should I focus on reviewing to improve it? </p></li>
<li><p>I want to actually study and take the test for a third and final time to try to improve my math score. Should I take it with or without the writing? I don’t see my essay score getting any higher, so not sure if it’s worth it. However, is my essay score okay? I know the highest is 12, but where does the 10 stand?</p></li>
</ol>
<p>If the colleges you’re applying to do not require Writing then you don’t have to take ACT with writing. As far as your reading score, it could be just luck, Since you didn’t study I can’t really say this is the improvement from your effort. Taking advanced math classes doesn’t guarantee high score on ACT. Just like any other test, you really need to prep the materials in order to expect high score. I suggest getting a couple of good prep books and go through their practice exams and see where your weakness is.</p>
<p>As you have not practiced the test thoroughly, it is not surprising to see large fluctuations between tests. That is usually the case when someone did the first few practice tests. Nevertheless, your theory of not studying for the test is so outdated by decades. These days, most student not only study for the test, many even find tutor or take prep courses. Nowadays, colleges will consider you lazy or unprepared if you do not study or at least do a few practice tests before the test.
As for your final retake, you should do a very thorough preparation until you reach a plateau or a more consistent score. I would suggest to take it with writing as some schools require ACT with writing score all within the same sitting. After thorough practice, you should be able to bring up your score by at least a couple points. Don’t use a real test as practice. It is a waste of money, time, and opportunity.</p>