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

12 Practice Tests for the SAT j
Practice Test Nine Answers and Explanations 81 5
What you want to find is the number of women who drive
to work, which is the number that must go in the upper
left-hand box. So fill in information in the table, hoping that
you can work your way to the upper left box. You know that
there are a total of 25 men in the company and that 6 men
drive to work. This means that the remaining 25 - 6 or 19
men take public transportation. So put a 19 in the upper
right box. Now you're going to be able to find the number of
women who drive to work. Since 29 employees drive to work
and 19 men drive to work, 29 - 19 or 10 women drive to
work. If you also put a 10 in the upper left box, your table
should look like this:
w
M
D 10 19 29
p 6
So 10 women drive to work.
17. B
Difficulty: Medium
25 25
Strategic Advice: Careful here! If you said to yourself: ''This
is simple, pages 10-25 are empty, that's 25 - 10 = 15
pages at 4 photos a page, that's 60 photos all together ..."
then you fell into a trap! Never pick an obvious answer on a
hard problem.
Getting to the Answer:
The catch here is that page 1 O is empty, too, and if you
count from 10 to 25 while including both 10 and 25, you'll
see that there is a total of 16 empty pages, not 15. Since
16 x 4 = 64, the correct answer is (B). In general, if a and
b are integers and a< b, the number of integers from a
through b inclusive (meaning that you're including a and b)
is b - a+ 1.
18. E
Difficulty: High
Strategic Advice: If the slope of a line is -1, that means
every time the y-coordinate decreases by 3, the
x-coordinate increases by 2. So if the y-coordinate goes
from 6 to 0, as it does if you travel along line I from point
A to point B, it decreases by 6, or 2 x 3. Therefore, the
x-coordinate must increase by 2 x 2, or 4.
Getting to the Answer:
Since the x-coordinate of A is 0, the x-coordinate of B must
be 4, so point B's coordinates are ( 4, 0). That means that
the length of OB is 4. Since the length of OA is 6, the area
of the triangle is x 4 x 6 = 12, (E).
19. E
Difficulty: High
Strategic Advice: In this question, you're given that 73 is
the median of a group of 7 numbers (one for each day of
the week). That means that 3 numbers must be less than
73 and 3 numbers must be greater than 73. We know that
67, 71, and 72, the temperatures for Monday, Tuesday, and
Wednesday, respectively, are each less than 73. The other 3
temperatures must be greater than 73.
Getting to the Answer:
The Friday temperature is 76, and among the answer
choices, the only values for Saturday and Sunday that are
both greater than 73 are 7 4 and 77, (E).
20. D
Difficulty: High
Strategic Advice: One important thing to remember about
quadrilaterals is that the sum of the interior angles is 360°.
Getting to the Answer:
That means that w + x + y + 70 = 360, and therefore w +
x + y = 290. x must be a positive, but it can be a number
very close to 0. If x actually were 0, then w + y would be
290. If x were very slightly larger than 0, w + y would be
very slightly smaller than 290. So, 290 must be the upper
bound of the range of values that w + y could have; thus,
the correct answer must be (B) or (D). If x were equal to
45, then w + 45 + y would be 290, and w + y would be
245. However, x can't equal 45, but its largest possible
value could be a number very slightly smaller than 45. That
means that w + y would equal a number very slightly larger
than 245. So, 245 must be the lower bound of the range of
values that w + y could have. That means that the correct
answer must be (D).