May 2010 - Math Level 2

<p>anyone care to update our answer key?</p>

<p>Adding to answer key:</p>

<ol>
<li><p>Part A: what was the median? The answer was 0.248</p></li>
<li><p>HEIGHT was 48 inches; shoulder width was 12 cm, I think (.25 ratio)</p></li>
<li><p>I think it was sin x ≤ cos x, not <. Answer is 0 ≤ x ≤ pi/4</p></li>
<li><p>The answer was the graph with everything below the x-axis</p></li>
<li><p>x^4 - 4x^2 + something. Answer is j^2 - 4j + something.</p></li>
</ol>

<p>Do many people take the Math II test in October? I want to retake it and make sure I have enough time to brush up on pre-calc skills and take enough practice tests. Would this be good to do in the summer? Also, is the Math II test a subject test that admission officers most prefer to see?</p>

<p>**UPDATED - please verify **</p>

<p>CONSOLIDATED LIST OF ANSWERS:</p>

<ol>
<li><p>How many x-intercepts does xy^5+2y=3x-x^2 have?
Two</p></li>
<li><p>How many distinct 4 digit numbers can you make using 1, 2, 3 and 4 if 3 must always follow 2?
6</p></li>
<li><p>Gave you 5 bar graphs, which had the lowest standard deviation
The one with only one bar at 80</p></li>
<li><p>Probability involving drawing out 3 different marbles
1/6</p></li>
</ol>

<p>5: Period of f(x)= 3sin(pi x) + 2cos(2pi x)
2</p>

<ol>
<li><p>Gave you three tables with x and y values, choose the ones where y is a function of x
II and III</p></li>
<li><p>Polar question… which can not be a point shown in the graph? or something?
(2, 3pi/2)</p></li>
<li><p>log n / log 2, least integer
19</p></li>
<li><p>flag pole, point 10 feet away, angle of elevation is 66 degrees, find the height of the flag pole
10tan66</p></li>
<li><p>y = f(x), line of symmetry is x=3, f(-1) = -1, what is f(7)
-1</p></li>
<li><p>(3, 2) reflected over y = -x
(-2, -3)</p></li>
<li><p>Average speed, 10 km at 40 km/h, 10 km at 80 km/h
53 1/3 km</p></li>
<li><p>Move circle 5 units right, 2 units down
(x-8)^2 + (y+3)^2 = 25</p></li>
<li><p>3 prime numbers… perfect cube… something
a^3, b^6, and c^9</p></li>
<li><p>-|x|, x < 0
x</p></li>
<li><p>sum of two points, plane had imaginary axis and real axis
-2 + 2i</p></li>
<li><p>Point O is certain distance away from plane M, area of region 12 away from O and 6 away from M
(pi)(rad 108)^2 = 339</p></li>
<li><p>f(x) = x^4-4x+1, f(x+2)
II and III, cross at one point, have the same range</p></li>
<li><p>Increases by 1.5% each year, how many years does it take the initial amount to reach 6 million?
4 years</p></li>
<li><p>Q#50: what is (a/4)
not sure what the exact answer is but it’s 0.9238 (probably 0.92 on the test)</p></li>
<li><p>circle with diameter looking for angle
-sqrt 3</p></li>
<li><p>an ellipse or circle problem: it was something like 4x^2 + 3y^2 = 16 and you had to find a and b.
a=2, b=4/sqrt(3)</p></li>
<li><p>the problem where they gave you a chart with shoulder length and something with width to height ratio (part A – what was the median?)?
The answer was 0.248</p></li>
<li><p>the problem where they gave you a chart with shoulder length and something with width to height ratio? Part B – if width of shoulder is 48 inches what is the height (in cm)
NO ANSWER - HEIGHT was 48 inches; shoulder width was 12 cm, I think (.25 ratio) - according to Neytiri</p></li>
<li><p>sin(2x)=a; 0<x<pi/2 (I’m not sure about the range)
Asec(x)</p></li>
<li><p>from 0<x<pi/2, when is sin(x)≤cos(x)
0 ≤ x ≤ pi/4</p></li>
<li><p>the graph of a cubic function, asked what does the graph of –abs(f(x)) look like
the graph with everything below the x-axis</p></li>
<li><p>j = x^2, and you had to find x^4-(something)x^2 + something. in terms of j.
j^2 - 4j + something.</p></li>
</ol>

<p>I know that I didn’t do well on this exam; if I plan on studying both the SATs and Math2 over the summer (and I’m going to be taking Calc AB next year), which should one should I take first? (the October test date)</p>

<p>

</p>

<p>Use the horizontal line test.</p>

<p>II and III pass it, but I does not.</p>

<p>Edit: For #24, I believe I got the 1/4 ratio as well.</p>

<p>^vertical line test you mean.</p>

<p>Oh, for #26 I meant that they gave you the height (48 cm) in the question. They asked you something like: “Using the arithmetic mean of the ratios, what is the shoulder width if the height is 48 cm?” The answer was 12 cm.</p>

<p>They wanted to know how tall a person was if their shoulder width was 48 cm. (Which was 192 cm) I highly doubt they would want you to calculate the width of a person 48 cm (about 1 and a half feet) tall :)</p>

<p>Yes, the answer came out to 192.</p>

<p>I thought the test would of been hard for people who are not familiar with the test itself. Once familiarized with it, you can find traps set up by the ETS quite easily. I skipped 2 and 90% confident that I got everything else right. BTW, what did u guys put for the polar coordinate problem? I put (somenumber-probably 2, 3pie/4). Ask me questions about problems that you want to confirm answers with :D</p>

<p>exactly right.
cant have 2 same x values with different y values.</p>

<ol>
<li>an ellipse or circle problem: it was something like 4x^2 + 3y^2 = 16 and you had to find a and b.
a=2, b=4/sqrt(3)</li>
</ol>

<p>To solve this problem, do you divide by 16 for each side and square root each denominator on the left hand side (ie 4x^2/16 –> x^2/4–> square root of 4–> 2)? How do you get b?</p>

<p>^ Wasn’t the answer a = 2, b = sqrt(3) / 4?</p>

<p>(2, 3pi/2)</p>

<ol>
<li>just think about it this way</li>
</ol>

<p>1/a^2=1/4, 1/b^2=3/16
b/c the equation is x^2/a^2 + y^2/b^2 => x^2/4 + 3y^2/16</p>

<p>a^2=4, a=2
b^2=16/3, b=4/sqrt (3)</p>

<p>Just wondering-
currently i have 45 raw and i realllly need an 800, for this particular test do you guys think this is going to make it?</p>

<p>Thanks</p>

<p>Oh, did it really say that? :frowning: 48 cm did seem like an unreasonable height. Oh well, obviously I read the question wrong.</p>

<p>what would a 37.75 raw score be??</p>

<p>i usually do well on practice tests but completley f’ed up on this test arggg</p>

<p>about a 740.</p>

<p>hey guys quick question. do they have diff versions for math 2 test? or are the questions/ choices abcde in the same order?</p>