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

586 Practice Test Six Answers and Explanations<br />

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

Total cases in 1960 (in thousands) : 200 + 150 +<br />

50 + 60 = 460<br />

Total cases in 1970 (in thousands): 50 + 40 + 5 + 20 = 1 15<br />

Actual change = 460 - 11 5 = 345<br />

Percent change = cig x 100% = 0.75 x 100%<br />

11. A<br />

Difficulty: High<br />

Strategic Advice: The key to most average questions is to<br />

know how to use <strong>the</strong> average <strong>for</strong>mula.<br />

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

"The average (arithmetic mean) of a, b, and c is p,"<br />

translates to 0 + + c = p.<br />

''The average of a, b, c, and d" translates to<br />

o+b+c+d = 7 .<br />

4<br />

Solve <strong>the</strong> first equation <strong>for</strong> a + b + c:<br />

a +b +c=3p<br />

Now plug this into <strong>the</strong> second equation:<br />

a+ b + c + d _ 3p + d<br />

-<br />

4 4<br />

12. c<br />

Difficulty: Medium<br />

, W IC IS .<br />

h. h . (A)<br />

Strategic Advice: When <strong>the</strong> <strong>SAT</strong> presents measurements<br />

in different units, convert everything to <strong>the</strong> same unit of<br />

measure and pay attention to <strong>the</strong> question that is asked.<br />

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

First, convert miles per hour to miles per minute: to do this,<br />

divide by 60.<br />

4,680 =78<br />

60<br />

So <strong>the</strong> plane can travel 78 miles per minute.<br />

Ten seconds is i of a minute, so divide 78 by 6 to find <strong>the</strong><br />

number of miles <strong>the</strong> plane can travel in 1 O seconds:<br />

78 = 13<br />

6<br />

13. E<br />

Difficulty: High<br />

Strategic Advice: The <strong>SAT</strong> will never expect you to compute<br />

large sums, even if <strong>the</strong> testmakers assume you know how<br />

to use a calculator. Always look <strong>for</strong> <strong>the</strong> shortcut.<br />

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

The sum will stay negative as long as you keep adding<br />

negative numbers. When will it start going positive? When<br />

<strong>the</strong> positives cancel out <strong>the</strong> negatives. In o<strong>the</strong>r words, -33<br />

will cancel out +33, -32 will cancel out +32, and so <strong>for</strong>th.<br />

All <strong>the</strong> consecutive integers from -33 to +33 (<strong>the</strong>re's 67 of<br />

<strong>the</strong>m-don't <strong>for</strong>get O!) will add to zero, and <strong>the</strong>n adding <strong>the</strong><br />

next integer, 34, will make <strong>the</strong> sum 34. So <strong>the</strong>re will be 68<br />

consecutive integers, or (E).<br />

14. c<br />

Difficulty: High<br />

Strategic Advice: When extra in<strong>for</strong>mation is given in <strong>the</strong><br />

question stem, fill in what you know and work from <strong>the</strong>re.<br />

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

Fill in <strong>the</strong> in<strong>for</strong>mation <strong>for</strong> one triangle. One-half of <strong>the</strong><br />

triangle <strong>for</strong>ms a 5: 12: 13 triangle. Thus, <strong>the</strong> height is 12, and<br />

<strong>the</strong> area of one triangle = x 12 x 1 0 = 60.<br />

Since <strong>the</strong> parallelogram is made up of two triangles, <strong>the</strong><br />

total area is 2 x 60 = 120.<br />

15. c<br />

Difficulty: High<br />

Strategic Advice: Don't get thrown off by complex<br />

equations and symbols you don't recognize. Once you get<br />

past <strong>the</strong> notation, this is a simple plug-in problem.<br />

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

10<br />

•37• = = v'36 =6<br />

1tt 5 1tt = v'S=l = v'4 =2<br />

6-2=4<br />

12<br />

1 3

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