<p>i didn’t like the 4<y<6 and then they say y=7, i thought it was a mistake in the book so i just skipped it…</p>
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<p>Any of these ring a bell?</p>
<p>Yeah but I can’t remember the 8 divisors question. What was that?`</p>
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<p>There are two ways.</p>
<p>First, you could reason it out. Since only one alarm or (both) had to go off, the probability had to be higher than the highest individual probability. 0.997 thus had to be it.</p>
<p>Second method: (1 - probability of first going off) * (1 - probability of second going off) = probability of neither going off, since 1 - P(A) = P(~A). Simply subtract that answer from one.</p>
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<p>It jarred me for a moment as well, until I realized it was really a logic question in disguise.</p>
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<p>Prime factorization of a number is some prime to the third times another prime. So r<em>r</em>r<em>p = x (or, as a common example goes, 2</em>2<em>2</em>3 = 24). You have to find how many divisors x has. The answer is 8 (choice D, I think).</p>
<p>What number was that one. I am pretty sure it is another one that I left blank.</p>
<p>Yeah, so the question read something like if…then… and since the consequence was false, than the antecedent must have been false also. But just for future refrence, its not the vice versa, the antecedent can be false, while the consequence, true.</p>
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<p>I don’t remember. You actually memorized your responses by question number? Heh, wow.</p>
<p>Yeah. I left 49 blank and I am pretty sure 12. Anyway. Any other random questions that you were a little stumped with. I sure hope that I get upper 700 or maybe that magic 800.</p>
<p>should we start an aim chatroom for sat math2?</p>
<p>I couldn’t get the tangent problem so I had to omit it. (tan(a) = some number, tan(b) = some number, find angle c).</p>
<p>I also had trouble with the one that asked how many roots were possible by multiplying two quadratics with at least one different y-value for one value of x. I think I bubbled in 3 or 4 as a semi-guess, but it turns out that the answer is 2, 3, or 4.</p>
<p>Maybe. Anyone have any questions they were to sure on.</p>
<p>mitpropect: Do you agree that the answer for 50 was (E)? We came to a consensus, but never conclusively proved it.</p>
<p>I think I put that too. I skipped number 49 and went on to 50. Does anyone actually remember the question.</p>
<p>Cone problem:</p>
<p>Original cone:
r = 3
h = 6</p>
<p>Divide the cone with a plane parallel to the base (so you cut it flat and smooth) so that the two new sections are equal in volume.</p>
<p>What is the height of the smaller cone?</p>
<p>My solution:</p>
<p>Large Cone:
V = 1/3 * pi * r^2 * h
V = 18*pi</p>
<p>Small Cone:
V = 2/3 * pi * r^2 * h
18*pi = 2/3 * pi * r^2 * h
27 = r^2 * h</p>
<p>I made the following assumption (this is what my answer depends on): r varies directly as h in a cone.</p>
<p>Thus, if h(small) = 4.8:
h(small) is 80% of h(large)
so
r(small) is 80% of r(large)</p>
<p>3*.8=2.4
2.4^2 = 5.76</p>
<p>Does 27 = 5.76 * 4.8? Not quite: 5.76 * 4.8 is about 27.648. However, that’s the closest of any of them to 27. Also, based on the slight deviation, I’m willing to bet that r and h vary almost directly, but with a slight scaling factor thrown in.</p>
<p>Thus 50 = (E), or 4.8.</p>
<p>Question 49:</p>
<p>If New York City, with a current population of 16.1 million [approximately that] grows at a rate of 0.3% per year, by what percentage will its population have increased in 25 years.</p>
<p>You had to use the compounding growth formula, and the answer was about 7.8.</p>
<p>****… That was the cone one. That was the one that I messed up. I ended up doing after the test and did get that answer. It really sucked because I did that on a practice test and then messed it up on the real one. Really sucks. Anyway, I left 5 blank and am pretty sure I got 2 wrong. Who knows.</p>
<p>Does anyone remember question 12? It is a long shot but I think it was the prime number one. How about 49.</p>
<p>49: If New York City, with a current population of 16.1 million [approximately that] grows at a rate of 0.3% per year, by what percentage will its population have increased in 25 years.</p>
<p>You had to use the compounding growth formula, and the answer was about 7.8.</p>
<p>Wasn’t question 49 the one with the 3 prime numbers, and a distict one with a product?</p>
<p>Not that it matters.</p>