October 2011 Math Compiled

Test Preparation SAT Preparation
1

<p>This is what I have so far. Please only add new problems (cause nobody knows the scale of the test)</p>

<p>Overlapping circles? Was is 96pi+32 or 64
The overlapping circles were 3/4 of a circle. So their area was pi(r^2)(3/4), which was 48pi. There are 2, so their area together is 96pi. The 64 comes from the square formed in between them with a side length of 8 (also the radius). The area of the square was 8 x 8 = 64</p>

<p>-1>y>0, what is a possible value for |y| - y
One choice – there were many - .5- (-.5) = 1</p>

<p>Sequence with 7 terms was 1024, 6th is 32 and each number is the product of the two before it
1024, 1/32, 32, 1, 32, 32, 1024 </p>

<p>Sweaters and scarves - 5 of each, 1 each matched 1 of the other, what was probability of NOT getting a matching set.
4/5</p>

<p>One big triangle, split up into 3, with y degree angles at the top and 54 degree angles at the bottom two corners. you had to find x, you add up 54+54 = 108. 180-108 = 72 divided by 3 = 24 so y is 24. 24 + 54 = 78 and thats your answer </p>

<p>What is the smallest integer n that is divisible by 24 and 10 and equals k^2 where k is an integer
3600</p>

<p>5 paths to get to the monument. How many different combinations of one path in and one path out?
It was 20 for the different paths: times 4 choices out of the circle = 20 paths</p>

<p>Surface area of a right cylinder without a top or bottom. I found the circumference which was 8pi and multiplied that by the height, 20
500 - 2pi<em>(4)</em>(20) = 80pi = 502 </p>

<p>86 is the median of 101 consecutive integers
lowest number = 36 </p>

<p>f(2x)=(f(x))^2
f(x) = [1/(2a)]^x
f(2x) = [1/(2a]^(2x)
Substitute x for 2x
f(x)^2 = ([1/(2a)]^x)^2 = [1/(2a)]^2x
Simply, a power to a power is the multiplication of the powers
f(2x) = f(x)^2 = [1/(2a)]^2x</p>

<p>Max number of mondays in July and August
9</p>

<p>If x is an even integer, then which of the following an odd number?</p>

<p>I. (1/2)x
II. 2x
III. 3x</p>

<p>None</p>

<p>27^x=ka, 3^6x =81
K=9 </p>

<p>What about the minimum distance between two points on two circles?
1</p>

<p>price of soda= x price of pretzel=y
2.05=x+2y
1.85=2x+y
Add both equations
3.9=3x+3y
3.9=3(x+y)
1.3=x+y</p>

2

<p>Wait, if x is 2, then wouldn’t (1/2)(2) = 1, which is odd? That’s what I did. Even if you used 6, then (1/2)(6) = 3, which is odd too…so…idk…I hate everything, lol.</p>

3

<p>I got 1, does anyone know the exact question? was it 2y? or just y?</p>

4

<p>it’s not a universally applicable statement though, therefore it wasn’t correct.</p>

5

<p>if x=8, half of 8 is still even</p>

6

<p>@seahawks506 Oh…that makes sense…damn it.</p>

7

<p>What the hell? Are you telling me somehow my math somehow increased from 680 in march to ~800 this time around?</p>

8

<p>Wasn’t the grid-in -1<2y<0? I am pretty sure it was, but my memory is starting to fade. If I am right than 1 is not a correct answer.</p>

9

<p>^yea, and what is the value of when |y|-y is. What did you guys get for the two semi-circle problem where two arcs that are 260 degrees each with radius 8 are joined?</p>

10

<p>sorry 270 degrees</p>

11

<p>-1 < 2y < 0</p>

<p>let’s say y = -.125</p>

<p>|y|-y = |-.125|–.125 = .25</p>

<p>OR </p>

<p>y = -.25</p>

<p>|y|-y = |-.25|–.25 = .5</p>

<p>There’s more than one possible answer, guys. .5 just seems to be the most common.</p>

<p>However, 1 is incorrect.</p>

12

<p>Nice job GMJ - thankx!</p>

13

<p>wouldnt the lowest of 101 consecutive integers be 35? cause there should be 50 integers on either side of 86 but not including it. lol i hope i didnt screw that one up cause i tripled checked it and confused myself so much trying to reason it out</p>

14

<p>86-50=36, 86+50=136. so therefore you have 100 integers on both sides, then 86 is the 101th.</p>

15

<p>If (1/2)x and x = 2 or x = 6 or x = 10 they all come out to odd numbers, therefore I. Works</p>

16

<p>yeah but 4, 8, 12, 16, etc. dont. and it said which MUST be true. so therefore it is none</p>

17

<p>Hey GMJ, I believe your big triangle question is wrong. 78 is the angle supplementary to X, which is what the SAT asked us to find. The answer is 102. Y was 24, and the other angle in the smaller triangle was 54, but x was supplementary to the other angle in that small triangle. Someone plz correct me if I’m wrong.</p>

<p>Peace.</p>

18

<p>Some people said it was 102, but im pretty sure its 78…i put 78 :)</p>

19

<p>ah wait i think you guys are right I just found the other angle crap that’s -2 now :(</p>

20

<p>worried…dont be so worried…im at like -9 - -11 id say.</p>