Post your hardest SAT I questions

<p>Bump...anyone have any december ones to add?</p>

<p>Answer is A definitely!!!</p>

<p>solution , put k as -10 </p>

<p>2x-5y=8
4x-10y=17</p>

<p>-2(2x-5y=8)</p>

<h2> 4x-10y=17</h2>

<p>-4x+10y= -16</p>

<h2>4x-10y=17</h2>

<p>4x cancels out
and 10y also cancels out so you are left with
0=1 … so it’s not equal and it has no solution.
so 0 not equal to 1.</p>

<p>If 4(x+y) (x-y) = 40 and x-y=20, what is the value of x+y?</p>

<p>The answer is 1/2. </p>

<p>Solution----
4(x+y)(x-y) = 40
divide 40/4
(x+y)(x-y)=10
and it says that x-y=20 so,
20(x+y)=10
divide 10/20
and you got 1/2
so X+Y=1/2</p>

<p>The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee?</p>

<p>do you have the answers for this question… i mean if it’s SAT question than you had to have answers from A to E… becuz in this types of questions answer really helps to figure out.</p>

<p>A store charges $28 for a certain type of sweater. This price 40 percent more than the amount it costs the store to buy one of these sweaters. At an end-of-season sale, store employees can purchase any remaining sweaters at 30 percent off the store’s cost. How much would it cost an employee to purchase a sweater of this type at this sale?</p>

<p>SOlution-----
first of all store is selling a sweater for $28. and store is pricing this sweater 40% more than they got it so…
28x40/100= 11.2 so they are charging $ 11.2 more than they got it from. so now $28-11.2= $16.8.</p>

<p>so the store got the sweater for $16.8 and now the employees get 30 % off the stores cost so now
16.8x30/100= 5.04 so now they get $5.04 off from the stores cost .
and now $16.8-5.04=$ 11.76. This is the price that the employees has to pay to get the sweater.</p>

<p>darshil93 You are wrong. you took 40% of 28 which is not what the question stated. The Question Said that 28$ is 40 above so 28/140=x/100 and then solve for x which is 20. then .3x20 would be 6 so 20-6=14 or 14$ that the employee has to pay after the discount.</p>

<p>^^ That is a poorly worded question.</p>

<p>A triangle has a one length of 7 and another of 10, what is the maximum possible area?</p>

<p>The answer is 35.</p>

<p>^You would need a right triangle to maximize the area:
(7*10)/2 = 35</p>

<p>it is hard to explain why. perhaps you could visualize it. as the 90-degree angle of the right triangle decreases, the triangle’s area decreases. as it increases, the triangle’s area still decreases.</p>

<h2>The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee?</h2>

<p>d= $ for 8 ounces
c= cups per ounce</p>

<p>d/8 = The amount it costs to buy 1 OUNCE of coffee beans</p>

<p>(d/8) also equals the amount of money it takes to make c cups of coffee because (d/8) is equal to one ounce and c is the amount of cups one ounce can make. Therefore, you divide d/8 (cost of an ounce) by c (cups of coffee in an ounce) and you get d/8c (Amount of $ per cup of coffee) . At least I think that’s right.</p>

<p>Sentence Completions: </p>

<p>The crude animated effects ---- prohected images from seventeenth-century lantern slides have now been recognized as ---- of modern film animation.</p>

<p>(A) complemented by … antecedents
(B) forestalled by… harbringers
(C) depicted in … deriviatives
(D) featured in… replicas
(E) afforded by… forerunners</p>

<p>Writing: </p>

<p>The director valued the actor not so much for his broad commerical appeal ** but because he approached every role with passion and intelligence **</p>

<p>(A) but because he approached every role with passion and intelligence
(B) but because of his approaching every role with passion and intelligence
(C) but for being passionate and intelligent in approaching every role
(D) as for him approaching ever role passionately and intelligently
(E) as for his passionate and intelligent approach to every rold</p>

<p>Quincy took Dan to Derek’s home <a href=“A”>b</a> for a visit, (B) never imagining ** that five years ** would pass ** before ** seeing ** Derek again. ** No error **</p>

<ol>
<li>John needs to pay $2010 for his Kobe steak and caviar dinner. He has an unlimited supply of $2, $5, and $10 bills. In how many possible ways can he pay for his meal?</li>
</ol>

<p>a. 1005
b. 20503
c. 2010
d. 20100
e. 34170</p>

<ol>
<li>A</li>
<li>E</li>
<li>D
?</li>
</ol>

<p>Sorry the first one is E.</p>

<p>TuttleButtle, there’s no way that item would appear on an SAT. Way out of scope as compared to typical test questions concerning combinations.</p>

<p>I once got one like it, however, they didn’t ask for combinations forming 2010. More like combinations forming 17 (out of 10, 5, and 1), which is you know, humanly possible, unlike yours. How do you even do the 2010 one, out of curiosity? I tried doing it with a friend and we narrowed it down to a or c (and not even sure of those) but short of trying to count each alone (not bothered) we couldn’t choose the correct one.
So what it is?</p>

<p>The answer is 20503 (whichever choice that is).</p>

<p>You can actually do it in a few minutes, if you spot the insight that 2*5 = 10 quickly enough (note: I used this as an example problem for someone I was helping with SAT math; I do tend to use harder problems).</p>

<p>The first thing that you have to see is that 2010 is a multiple of 10. So, if you can come up with a general algorithm to calculate the number of ways to express 2x+5y = 10m for non-negative integers m,x,y, you could just sum up the series (and let the remaining portion be represented by the 10 dollar bills). Next observe that since, if we divide both sides by 5, they have to have remainder 0. 5y will always leave remainder 0, so x has to be divisible by 5 (since 5 is a prime). The same thing applies to divisibility by 2.</p>

<p>So we reduce this to 10a+10b = 10m. Dividing out gives a+b=m. For non-negative integers we could have a = 0,1…,m, and b is defined as m-a. So there are always m+1 ways, for a given m.</p>

<p>There are also guaranteed to be 201-m $10 bills, so m clearly ranges from 0 to 201 in order to have all values non-negative.</p>

<p>Then this is just the arithmetic series (from m = 0 to m = 201) of m+1, or 1+2+3+…+202. This is 203*202/2 = 20503.</p>

<p>@ Jay</p>

<ol>
<li>E</li>
<li>E (you need the form “not so much for…as for” to maintain parallelism; D is incorrect as you need the possessive “his” before the gerund “approaching”)</li>
<li>D (this is ambiguous - who’s not going to see Derek for 5 years, Quincy or Dan or both?)</li>
</ol>

<p>This problem requires some out-of-the box thinking. Let’s take this step by step. What make two lines have no solution? Well, if they’re parallel they’ll never meet so they won’t have a solution, right? And in order for two lines to be parallel we need to the the same slope. If you figure out the slope-intercept form of the first line, you get the following equation:</p>

<p>y=2/5x-8/5</p>

<p>So, for the other line to be parallel, it also needs to have a slope of 2/5. If we solve for y in the second equation, we get the following:</p>

<p>y=4/kx+17/k</p>

<p>So now we need to say to ourselves: Four over what is equal to two over five? We can set up the folowwing cross-multiplication problem to find out:</p>

<p>4/K=2/5</p>

<p>If you solve it, you should get k=10, which is choice E</p>

<p>For Jay,

  1. A
  2. E
  3. D</p>