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

1004
1 12 Practice Tests for the SAT
Practice Test Eleven Answers and Explanations
Getting to the Answer:
1 0(8) = 80, so the sum must be greater than 80.
12(8) = 96, so the sum must be less than 96.
4. E
Difficulty: Medium
Strategic Advice: Since Earth makes a complete rotation
about its axis in 24 hours, any point on its surface must
rotate through 360° in that time.
Getting to the Answer:
Goannaville rotates 360° in the 24 hours from 1 :00 PM
January 2 to 1 :00 PM January 3. In the three hours between
l :00 PM and 4:00 PM on January 3, it rotates { 4
(360°) =
45° more.
360° + 45° = 405°
5. c
Difficulty: Low
Strategic Advice: While questions about sets are more
likely to be of low or medium rather than high difficulty,
they will, at any difficulty level, assume that you're familiar
with some of the basic terminology of sets. With that in
mind, begin to absorb a few facts. The things in a set are
called elements or members. The union of sets is the set
of elements in one or more of the sets being united. Think
of the union set as what you get when you merge sets. The
symbol for the union of sets is u. The intersection of sets is
the set of common elements of the sets being intersected.
Think of the intersection as the overlap of sets. The symbol
for the intersection of sets is n.
Getting to the Answer:
To be in SnTnU-that is, the intersection of 5, T, and U-a
number would have to be between -3 and 3, inclusive;
prime; and positive. Given the sets in question, the only
such numbers are 2 and 3. Remember that 1 is not prime;
test takers who forget that fad wrongly choose (D).
6. c
Difficulty: Medium
Strategic Advice: Both a and b can be positive, negative, or
equal to zero. The square of a negative or a positive number
will be positive. Zero is neither positive nor negative.
Getting to the Answer:
a+ b can be ruled out because a or b (or both) could be
negative or zero.
a2 - b2 + 1 O can be ruled out because b2 could be greater
than a2 + 10.
a2 + b2 + 1 is correct. a2, b2, and 1 are all positive, so their
sum must be positive.
a3 + b3 + 16 can be ruled out because a orb could be
negative, and the cube of a negative number is negative.
a4 + b2 + a2 can be ruled out because a and b could both
equal zero.
7. D
Difficulty: Medium
Strategic Advice: Do not assume that the measurements
of the angles in this figure resemble the way the figure is
drawn. Any figure on the SAT that is not drawn to scale
is drawn in such a way as to be deliberately misleading.
To find the angles, you will need to use three pieces of
information: the sum of the interior angles of a triangle is
1 80°, the sum of te angles along a straight line is 1 80°,
and vertical angles-angles pointed toward each other-are
equal. Using this information, you can find the measure of
every angle in the diagram, as shown below. Any triangle
with a 90° angle is a right triangle.
Getting to the Answer:
8. E
Difficulty: Medium
c
Strategic Advice: Questions about exponential growth
can be quite challenging for many test takers. You'll be the
exception if you come to think about such questions in
commonsense terms. To double is simply to multiply by
2. The question calls for this doubling to occur 24 times.