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

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

Practice Test Six Answers and Explanations 563<br />

I<br />

7. B<br />

Difficulty: Low<br />

Strategic Advice: Look <strong>for</strong> a pattern in <strong>the</strong> figure. What will<br />

help you figure out where <strong>the</strong> numbers need to go?<br />

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

In <strong>the</strong> figure, <strong>the</strong> larger numbers are on <strong>the</strong> side of <strong>the</strong> line<br />

with <strong>the</strong> arrowhead. Look <strong>for</strong> this in your answer. Only (B)<br />

fits.<br />

8. c<br />

Difficulty: Medium<br />

Strategic Advice: When solving percent problems, make<br />

sure you place <strong>the</strong> decimal point in <strong>the</strong> right place. You<br />

could also Pick Numbers if you get stuck.<br />

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

0.60 x 20y = 12y<br />

9. B<br />

Difficulty: Medium<br />

Strategic Advice: When solving a question with multiple<br />

variables, plug in <strong>for</strong> <strong>the</strong> values you know and <strong>the</strong>n solve as<br />

you would a single-variable equation.<br />

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

50 = %(2)t<br />

50 = _!.Q t<br />

4<br />

50 ..;.. _!Q = 50 x __!_ = 20<br />

4 10<br />

10. B<br />

t=20<br />

Difficulty: Medium<br />

Strategic Advice: The way to proceed here may not be<br />

immediately obvious, but when you're given a right triangle<br />

and some side lengths, it can never hurt to try applying <strong>the</strong><br />

Pythagorean <strong>the</strong>orem.<br />

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

c2 =02 +b2<br />

82 = (5 + x) 2 + (5 - x) 2<br />

64 = (25 + 1 Ox + x2) + (25 - 1 Ox + x2)<br />

64 = 2x2 + 50<br />

64 = 2(x2 + 25)<br />

32 =x2 + 25<br />

11. c<br />

Difficulty: Medium<br />

Strategic Advice: You know <strong>the</strong> ratio between <strong>the</strong> angles'<br />

measures, and you know that all three must sum to 1 80.<br />

Thus, all you have to do is find <strong>the</strong> factor to multiply by <strong>the</strong><br />

numbers in <strong>the</strong> ratio in order to get <strong>the</strong> correct sum.<br />

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

Ratio is 4:5:6, so express <strong>the</strong> measures of <strong>the</strong> angles as 4x,<br />

5x, and 6x.<br />

4x + 5x + 6x = 1 80<br />

15x=180<br />

X= 12<br />

Angle measures, <strong>the</strong>re<strong>for</strong>e, are as follows:<br />

12. c<br />

4(1 2) = 48, 5(12) = 60, 6(12) = 72<br />

72 + 48 = 120<br />

Difficulty: Medium<br />

Strategic Advice: This question is an arithmetic question<br />

disguised as a geometry question. Recognize that you can<br />

Backsolve here by using your answer choices, and you'll<br />

have <strong>the</strong> answer nailed down in no time!<br />

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

x is <strong>the</strong> overlapping portion of <strong>the</strong> radii of <strong>the</strong> two circles,<br />

and we need to find a value <strong>for</strong> it that will make <strong>the</strong> radius<br />

of P triple <strong>the</strong> radius of 0. Start with (C). If x = 3, <strong>the</strong>n <strong>the</strong><br />

radius of 0 would be 5, and <strong>the</strong> radius of P would be 1 5.<br />

Because 15 = 3 x 5, (C) must be <strong>the</strong> correct choice.

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