Further blue book math questions

<p>I'd be glad if someone could provide the solutions to the following math problems, as I'm taking the SAT this saturday...:-(</p>

<p>p.672 - no.13</p>

<p>p.673 - no.16</p>

<p>p.682 - no.12</p>

<p>p.738 - no.18</p>

<p>Thanks a lot!!!</p>

<p>pg 672.no.13</p>

<p>I was also stumped by this problem...</p>

<p>Basically, each number must satisfy EXACTLY one of the conditions.</p>

<p>(A) is the right answer because 14 is the day of Kyle's b-day, 20 is the multiple of 5, and 13 is odd.
(B) is wrong because 25 is odd AND a multiple of 5, meaning that it doesn;t fit EXACTLY one situation.
(C) has a multiple of 5 but no odd number (or vice versa)
(D) is wrong for the same reason as (C)
(E) is wrong because of the same reason as (C) and (D)</p>

<p>pg673 no16.</p>

<p>The trick to this question is to draw a straight line from point A to point D. Then draw a straight line from point D down (parallel to line segment CB).
Extend line AB so that it crosses the line you just drew. You get a right triangle where you can use the Pythagorian theorem to solve for the length of line AD, which =35. Subtract the sum of the other lengths to get 10 , choice (C)</p>

<p>I really hope question 11 on page 682 doesnt come up on the test...</p>

<p>Thank you!</p>

<p>But concerning p. 682 no. 12;</p>

<p>if n=3p, for what value of p is n=p??</p>

<p>The correct answer is zero, but I don't understand why, since n is three times as big as p, so n could just as well be 3 and therefore answer (c) 1 could be right, as well...</p>

<p>Also, If you understand all the blue-book math questions and are able to solve them quickly, does that pretty much guarantee a score of 750+?</p>

<p>682 - No. 12</p>

<p>Just backplug the answer choices. If p=0, then n=0. If p=1/3, then n=1. If p= 1, then n=3. If p=3, then n=9.</p>

<p>Only (A) makes p and n equal. </p>

<p>673 - No. 16. Different way to solve. Draw the line from A to D. Extend line AB an extra 4 miles past B and call this point E. Draw a line from D to E. DE is 15, AE is 20 (16 + 4). Remember the 3/4/5 ratio right triangle? This is a bigger version (multiply each value by 5). It's a 15/20/25. So AD = 25. The original route is 35 (16+15+4). 35 - 25 = 10.</p>

<p>738 - No. 18. Notice that for every step, one strand stays where it is, and the other two switch. It starts with C staying on the far right, then with B staying on the far left. </p>

<p>The next move will keep A on the far right. It will continue like this: C, B, A, but they will alternate on the sides:</p>

<p>Start: A B C
Step 1: B A C (C Stays)
Step 2: B C A (B Stays)
Step 3: C B A (A Stays)
Step 4: C A B (C Stays)
Step 5: A C B (B Stays)
Step 6: A B C (A Stays)</p>

<p>We're back at A B C at Step 6 - the Answer is D.</p>

<p>Good luck tomorrow. I'll monitor the site today to see if you have any more questions and will help when I can.</p>

<p>Thanks a lot!</p>