November 2009 Math Level 1

<p>can someone tell me what the hell was question about matrix doing on my paper??? </p>

<p>I thought it was only for level 2!!! ( as princeton and mcgraw hill suggest)</p>

<p>…but it was a simple matrix though, just adding and multiplying them…nothing crazy</p>

<p>I saw the matrices and pretty much cried =[ I tried to do it on my calculator before realizing I had no idea what to do.</p>

<p>I also had to have spent 10 minutes on that square two circles problem. I know you had the radius of the circles, so you can double it for the diameter, but I wasn’t sure how to subtract the proximity of the 2 circles!</p>

<p>yea there were two crazy problems, the overlapping unit squares and that one ^. For that one you make a triangle whose hypotenuse is the line connecting the two centers of the circles. So the hypotenuse is 2, you find the other sides (it’s isosceles) and you get 2sqrt2 then you add 2 for the remaining top and bottom distance so 2+sqrt2</p>

<p>OK, does anyone remember the overlapping unit squares one?</p>

<p>anyone remember what answer choice is correct for hexagon problem and the unit square? the test was easy except for those to problems, which i skipped and then didn’t have time to get back.</p>

<p>5 omit, 2 wrong. what kinda score am i looking at?</p>

<p>720-740 according to the barrons raw/scaled score chart</p>

<p>the circle question
[Image</a> - ■■■■■■■ - Free Image Hosting, Photo Sharing & Video Hosting](<a href=“http://■■■■■■■.com/r/kch0e8/4]Image”>http://■■■■■■■.com/r/kch0e8/4)</p>

<p>the unit squares question, each side of the square is 1, y is the overlapping distance, x is the distance between the 2 centers.</p>

<p>[Image</a> - ■■■■■■■ - Free Image Hosting, Photo Sharing & Video Hosting](<a href=“http://■■■■■■■.com/r/314uiia/4]Image”>http://■■■■■■■.com/r/314uiia/4)</p>

<p>the first image are when the square are right next to each other and y=0 and x=1, as you move them closer notice how the overlapping distance + x will always be equal to 1.</p>

<p>DT-MUFC- KS
The area of the hexagon was twice the area of the triangle, so 2 sqrt3 if I remember correctly.</p>

<p>So apparently there’s been a bit of confusion about the cylindrical cross-section problem. I didn’t take the test, but my friend told me about the problem. I’m pretty sure that a triangle cannot be formed.</p>

<p>Point - imagine a plane lying tangent to the cylinder and perpendicular to the height (it goes horizontally). It would only touch at one point.</p>

<p>Segment - imagine a plane lying tangent to the cylinder and parallel to the height (it goes vertically). It would form a segment.</p>

<p>Circle - imagine a plane cutting through the cylinder horizontally. It would form a circle.</p>

<p>Rectangle - imagine a plane cutting through the cylinder vertically. It would form a rectangle.</p>

<p>By process of elimination, triangle is the only one left. Also, I don’t really see how a triangle could be made anyway. The closest you could get would be to have a plane intersecting the top of the cylinder at one point and cutting through the cylinder at an angle before reaching the bottom, but the segments wouldn’t be straight.</p>

<p>

<a href=“http://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Cylinder_geometry.svg/162px-Cylinder_geometry.svg.png[/img]”>http://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Cylinder_geometry.svg/162px-Cylinder_geometry.svg.png

</a></p>

<p>Cant a triangle be formed if you cut it sideways toward the bottom?</p>

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<p>I think that again, the edges would be rounded.</p>

<p>cross section between both!!! your figure yields a cross section of semi circle and rectangle put together. Remember that is a plane so its infinitely long and wide.</p>