16.03.2017 Views

12.Practice.Tests.for.the.SAT_2015-2016_1128p

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

12 Practice <strong>Tests</strong> <strong>for</strong> <strong>the</strong> <strong>SAT</strong><br />

Practice Test Twelve Answers and Explanations I<br />

1093<br />

are equally spaced from <strong>the</strong> median. The effect of this<br />

arrangement is that, again, <strong>the</strong> median equals <strong>the</strong> average.<br />

You're left with (B) and (D). In which case would <strong>the</strong><br />

average be pulled higher than <strong>the</strong> median? The 3 in (B)<br />

pulls <strong>the</strong> average of that set slightly above <strong>the</strong> median, while<br />

<strong>the</strong> -3 in (D) pulls <strong>the</strong> average of that set slightly below <strong>the</strong><br />

median.<br />

6. c<br />

Difficulty: Medium<br />

Strategic Advice: Questions such as this one assess your<br />

ability to per<strong>for</strong>m multistep operations. Move quickly but<br />

carefully and pay attention to where you're going.<br />

Getting to <strong>the</strong> Answer:<br />

7. D<br />

0.4(2 l 0) = 84<br />

84 = 33 _!_O/o(x) 3<br />

84 =<br />

x <br />

100<br />

(84) (<br />

Difficulty: Medium<br />

: g ) <br />

10 (x)<br />

(84)(3) 252<br />

Strategic Advice: You'll need to bring your knowledge of<br />

<strong>the</strong> properties of triangles and parallel lines into play if you<br />

want to solve this question.<br />

Getting to <strong>the</strong> Answer:<br />

8. c<br />

Difficulty: Medium<br />

Strategic Advice: Questions involving minimum and<br />

maximum values can seem intimidating on first glance but<br />

often, as in this case, boil down to a few simple scenarios.<br />

Getting to <strong>the</strong> Answer:<br />

First, try <strong>the</strong> possible scenarios:<br />

3x +y= 17<br />

3(1) + (14) = 17<br />

3(2) +(11)=17<br />

3(3) + (8) = 17<br />

3(4) + (5) = 17<br />

3(5) + (2) = 17<br />

Now find <strong>the</strong> range of y: 14 - 2 = 12<br />

9. E<br />

Difficulty: Medium<br />

Strategic Advice: If you <strong>for</strong>get your percent <strong>for</strong>mulas, this is<br />

also an excellent problem <strong>for</strong> an educated guess. You know<br />

that 40 percent of something is substantially less than 70<br />

percent of <strong>the</strong> same thing, so <strong>the</strong> best answer is probably<br />

ei<strong>the</strong>r (D) or (E).<br />

Getting to <strong>the</strong> Answer:<br />

percent = p art<br />

x 100<br />

woe h l<br />

Call <strong>the</strong> unknown whole x.<br />

70<br />

lOOx =2,100 100<br />

X =2, 100<br />

70<br />

X = 3,000<br />

Call <strong>the</strong> unknown part y.<br />

m<br />

16 0 0 (3,000) = y<br />

1,200 =y<br />

If c = 50, <strong>the</strong> angle vertical to it also equals 50.<br />

The angles of a triangle must add up to 180, so<br />

a + b + 50 = 180, and<br />

a+b= 130<br />

Solve <strong>for</strong> a, and you find that a = 130 - b, (D).

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!