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

Practice Test Five Answers an d Explanations 489<br />

14. c<br />

Difficulty: High<br />

Strategic Advice: To find <strong>the</strong> measure of an arc of a circle,<br />

divide <strong>the</strong> circumference of <strong>the</strong> circle by <strong>the</strong> fraction of <strong>the</strong><br />

circle <strong>the</strong> arc covers.<br />

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

The area of <strong>the</strong> circle is w2 = 1 67t, so <strong>the</strong> radius = 4; <strong>the</strong><br />

diameter = 8.<br />

Circumference of <strong>the</strong> circle: dn = 8n<br />

Measure of <strong>the</strong> arc: s; = n<br />

Perimeter of <strong>the</strong> region: 2r + measure of <strong>the</strong> arc<br />

Perimeter of <strong>the</strong> region: 8 + 7t<br />

15. A<br />

Difficulty: High<br />

Strategic Advice: Sometimes you may have to think about<br />

problems in a different way than how <strong>the</strong>y're presented.<br />

In this problem, imagine that <strong>the</strong> equations given are<br />

equations of lines on a coordinate plane. Two equations<br />

have no common solutions when <strong>the</strong>ir lines are parallel;<br />

<strong>the</strong>re<strong>for</strong>e, put <strong>the</strong>se two equations into slope-intercept <strong>for</strong>m<br />

and make <strong>the</strong> slopes equal.<br />

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

3x -4y= 10<br />

-4y=-3x + lO<br />

y= .2. x- 2<br />

4 2<br />

6X +l!V}'= l6<br />

y= -6 x+ 1.§.<br />

w w<br />

3 - -6<br />

4--w<br />

3w =-24<br />

W =-8<br />

16. E<br />

Difficulty: High<br />

Strategic Advice: To determine if <strong>the</strong> some of <strong>the</strong><br />

conditions are true or false, you need to calculate how<br />

many total shots were taken and how many total shots<br />

were made.<br />

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

I. True, because, 25 out of 30 people hit <strong>the</strong><br />

target on <strong>the</strong>ir first try. Eliminate (B) and (D).<br />

II. True. You can calculate <strong>the</strong> total number of<br />

made shots:<br />

5 people made 0 shots 0<br />

6 people made 1 shot 6<br />

7 people made 2 shots 7 x 2 = l 4<br />

8 people made 3 shots 8 x 3 = 24<br />

4 people made 4 shots 4 x 4 = 1 6<br />

Adding <strong>the</strong>se shows that 60 shots were made. Since each<br />

person can only miss once, <strong>the</strong>re must have been exactly<br />

30 misses.<br />

Ill. True, <strong>the</strong> most times a contestant hit <strong>the</strong> target<br />

in a row was 4.<br />

SECTION 8<br />

1. B<br />

Difficulty: Low<br />

How might winning <strong>the</strong> championship make <strong>the</strong> coach's<br />

leadership skills appear? If at first people questioned,<br />

or doubted, <strong>the</strong> coach's leadership, <strong>the</strong>n winning <strong>the</strong><br />

championship would most likely make people realize he<br />

was quite skilled or capable of managing his team. Look <strong>for</strong><br />

a word that means skilled.<br />

In (A), <strong>the</strong> coach's leadership would not appear remiss<br />

because he won <strong>the</strong> championship. Choice (B) is a perfect<br />

fit <strong>for</strong> your prediction. In (C), nothing in <strong>the</strong> sentence<br />

explores whe<strong>the</strong>r or not <strong>the</strong> coach was humorous. In (D),<br />

<strong>the</strong> fact that <strong>the</strong> coach won his first championship would<br />

not necessarily reveal he was hesitant about leading his<br />

team. In (E), if <strong>the</strong> coach had just won <strong>the</strong> championship,<br />

<strong>the</strong>n he would most likely not be contemptuous, or<br />

disapproving, of running his team.

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