<p>How many positive integers less than 1000 are not divisible by 9? This is from Pwn the SAT's Math Guide Beta. </p>
<p>I arrived at the correct answer, but I'm not sure if my reasoning checks out. Here's how I cracked it; tell me if I did the problem in correctly, and tell me if there is a simpler way :). </p>
<p>999 divided by 9 = 111. </p>
<p>There are 999 positive integers from 0 to 999; 0 doesn't count. </p>
<p>999 - 111 = 888 positive way less than 1000 that are NOT divisible by 9. </p>
<p>Is this a valid method of solving this problem?</p>
<p>I think it’s partly due to careless mistakes and mostly due to not knowing the material or being able to solve a problem under pressure. I also answer almost every question, which probably isn’t helping. But then, I have to answer every question since I want a 2300+. </p>
<p>My scores are precarious. It ranges from 2000-2400. It’s stressful when I score 240 on a PSAT one day and score 1980 on the SAT the next day. It also varies from my condition. When I’m in a good mood, I can concentrate for more than 12 hours, but when I’m just not feeling the SAT, I can barely finish one section… I’m nervous for the Oct SAT…</p>
<p>Kudos to all of you on your above average and most excellent scores. I received a 1680 on my June SAT, taking it again Oct 1st and im actually using the BB this time, plus I’m scoring pretty well (1890s-1930s, i hope it stays consistent and happens on the actual too lol) and I see a lot of questions posted by Qube, answered by Sheep and i think that i pick up a lot of the methods you guy guys use to solve [math] problems. It just so happened I was looking for that question (that Qube posted here), and i stumbled upon it lol. </p>
<p>best of luck to all and thanks for the answer :]</p>