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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 />

564 Practice Test Six Answers and Explanations<br />

13. c<br />

Difficulty: Medium<br />

Strategic Advice: Be sure to understand <strong>the</strong> chart given<br />

be<strong>for</strong>e trying to tackle <strong>the</strong> problem. In multiple-choice<br />

problems like this, work through all <strong>the</strong> possibilities and<br />

eliminate choices as you go.<br />

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

For Richmont, <strong>the</strong> population increases from 50 to 200, which<br />

is definitely more than l. Eliminate (A), (D), and (E).<br />

2<br />

For Pierdson, <strong>the</strong> population decreases, so eliminate (B).<br />

For Thomasville, <strong>the</strong> population increases from 200 to 400.<br />

Only Ill works.<br />

14. B<br />

Difficulty: Medium<br />

Strategic Advice: To find percent increase, determine <strong>the</strong><br />

difference between values and divide by original value.<br />

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

Total population in 1986 = 950<br />

Total population in 1999 = 1,425<br />

15. c<br />

1,425 - 950 =<br />

475 = 50%<br />

950 950<br />

Difficulty: Medium<br />

Strategic Advice: This problem can be solved through<br />

careful reasoning, but if you're still confused, you can<br />

per<strong>for</strong>m <strong>the</strong> logic-question equivalent of Picking Numbersmake<br />

up some imaginary characters to fit <strong>the</strong> situation and<br />

see which statement holds true.<br />

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

Let Amanda, Ellen, Greg, and Max be in <strong>the</strong> accounting<br />

department. Some of <strong>the</strong>se people, say Amanda and Greg,<br />

are on <strong>the</strong> bowling team. Since no one on <strong>the</strong> bowling<br />

team is married, Amanda and Greg are definitely unmarried.<br />

We don't know anything about whe<strong>the</strong>r Ellen and Max are<br />

married.<br />

Choice (A) is uncertain; it could be ei<strong>the</strong>r true or false.<br />

Choice (B) is uncertain as well; you don't know enough<br />

about Ellen and Max.<br />

Choice (C) is necessarily true; you know Amanda and Greg<br />

are single.<br />

Choices (D) and (E) are uncertain; <strong>the</strong> question doesn't say<br />

anything about <strong>the</strong> number of employees in ei<strong>the</strong>r group.<br />

Thus, (C) is <strong>the</strong> correct answer choice.<br />

16. c<br />

Difficulty: Medium<br />

Strategic Advice: Use <strong>the</strong> <strong>for</strong>mula <strong>for</strong> averages to find <strong>the</strong><br />

missing pieces of an averages question.<br />

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

The average is <strong>the</strong> sum of <strong>the</strong> terms divided by <strong>the</strong> number<br />

of terms. So l 0 students got l 00, leaving 20 to get y scores<br />

each (we can assume each will have <strong>the</strong> same score). We<br />

set up <strong>the</strong> problem like this:<br />

100(10) + 20y =92<br />

30<br />

17. B<br />

1,000 + 20y = 2,760<br />

20y = 1,760<br />

y =88<br />

Difficulty: Medium<br />

Strategic Advice: Remember that a-2 is equal to - If you<br />

a<br />

have trouble simplifying <strong>the</strong> given expression, try picking a<br />

number <strong>for</strong> a to make <strong>the</strong> problem more concrete.<br />

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

l 02<br />

a2 x a-2 = a2 x - = - 2<br />

= l<br />

02 a<br />

Or, say a= 3:<br />

l l 9<br />

32 x - =9x-=-= l<br />

32 9 9<br />

18. c<br />

Difficulty: High<br />

Strategic Advice: In order to visualize some geometry<br />

problems, it is necessary to draw <strong>the</strong> diagram split into<br />

its pieces. The perimeter of each semicircle is half of <strong>the</strong><br />

perimeter (circumference) of <strong>the</strong> original circle plus <strong>the</strong><br />

length of <strong>the</strong> straight edge.

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