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

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12 Practice Tests for the SAT
Practice Test Eleven Answers and Explanations
Getting to the Answer:
15-9=6
15 + 9 = 24
6 < length of third side < 24
17. B
Difficulty: Medium
Strategic Advice: The easiest way to solve this problem is
to express the given ratios as an equation and simplify it.
You'll then clearly see which of the statements must be true
and which ones are merely special cases.
Getting to the Answer:
a+2 a+4
b+2 = b+4
(a + 2)(b + 4) = (a+ 4)(b + 2)
ab + 2b + 4a + 8 = ab + 4b + 2a + 8
2b + 4a = 4b + 2a
b + 2a =2b +a
a=b
(Note that statement II can be true, but is not necessarily
true, and that statement Ill is true only if a and b are both 0.)
18. c
Difficulty: Medium
Strategic Advice: This problem is much less complicated
than it seems to be at first glance. Notice that line segment
AF is the same length as the diameter of the circle on
the left plus the diameter of the circle on the right. Since
the vertical line segments along line AF divide the large
rectangle into 5 equal smaller rectangles, they also divide
line AF into 5 equal pieces.
Getting to the Answer:
AB =2, so AF=2(5) = 10
O = 5 (the diameter of each circle)
% = 2.5 (the radius of each circle)
19. D
Difficulty: High
Strategic Advice: If you get stuck on a problem like this
one, Picking Numbers can be very helpful. Try picking a
small positive odd number fork, then counting the number
of even integers between it and l.
Getting to the Answer:
There are k - l integers less than k and greater than zero.
k-1
Half of them, or --, are even.
2
20. B
Difficulty: High
Strategic Advice: The easiest way to do this problem
is to sketch a one-foot by five-foot lattice and count the
connectors of each type. You could also consider the
question logically: each vertical pipe will be connected to
two or four horizontal pipes. The vertical pipes on the ends
of the lattice will be connected to two horizontal pipes each,
using two L connectors. Each other vertical pipe will be
connected to four horizontal pipes using two T connectors.
A one-foot by five-foot lattice would require six vertical
pipes, of which two would have two L connectors each. The
other four would have two T connectors each.
Getting to the Answer:
L connectors: 2(2) = 4
T connectors: 4(2) = 8
SECTION 4
1. D
Difficulty: Medium
The sentence contains a modification error, eliminating
(A). The introductory phrase must modify the noun that
immediately follows it. As written, the sentence says that the
party heard about the test results. Instead, the math teacher
should follow the comma. The underlined portion also uses
the passive voice, which is rarely correct.
Choice (B) does not correct the error, and it loses part
of the meaning of the sentence. Choice (C) distorts the
meaning of the sentence. Choices (D) and (E) correct
the modification error, but (E) uses the past perfect (had
thrown), which would only be correct if the sentence
referred to some other past action that this action preceded.
So (D) is correct.
2. c
Difficulty: Medium
One of the main problems in this sentence is the comma
splice: the incorrect use of a comma to connect two
complete sentences. So (A) and (B) are incorrect.