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

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1 12 Practice Tests for the SAT
Practice Test Twelve Answers and Explanations
Getting to the Answer:
(A) Could be true
(B) Could be true
(C) Could be true
(D) Could be true
(E) Must be true
4. c
Difficulty: Medium
Strategic Advice: When presented with a circle, identify
the radii of the circle. This will help you draw relationships
between the sides and angles of any triangles inscribed in
the circle. Remember that the sum of the interior angles of
a triangle is 180°.
Getting to the Answer:
Since XO and OY are radii and therefore equal,
5. D
La = LOYX
180-72 = 108
La = l08 =54
2
Difficulty: Medium
Strategic Advice: You use different mental skills, such as
mechanical, conceptual, or creative, in different questions.
Ask yourself what particular skill(s) a question appears to
test; doing so will help you bring the proper kind of focus
to a question. This question, for example, almost exclusively
challenges your ability to translate from English into math.
Getting to the Answer:
Follow directions:
"Subtract 4 from y'' means y - 4.
"Divide this sum by 2" means Y ; 4
''.A.dd 4 to this quotient" means Y; 4 + 4.
Then merely simplify:
c_i + _§_ = .t.±i
2 2 2
6. B
Difficulty: Medium
Strategic Advice: As you read a question, ask yourself,
"What could I do with this piece of data?" In this case, if you
know that 20 is the total number of marbles, then when
you read that "the probability of getting a red marble is t·"
you should think, "From this I could figure out the quantity
of reds'.' And so on with blues. Once you've done this, what
you are left with will be the number of yellows-the answer.
Getting to the Answer:
7. D
ic20) = 8 red
-tc20) = i o blue
8 + 10 = 18 red marbles and blue marbles
20 total marbles - 18 red and blue marbles
= 2 yellow marbles
Difficulty: Medium
Strategic Advice: The best way to do this problem is
to use common sense. If there were 4 chairs at all 25
tables, there would be 100 total seats. If there were
1 table with 2 chairs and 24 with 4 chairs, there would be
(24 x 4) + 2 = 96 + 2 = 98 chairs. Therefore, for every 1
table with 2 chairs, you lose 2 chairs from the sum.
Getting to the Answer:
The total of 86 chairs in the restaurant is 14 less than the
100-chair maximum. Because 14-+-2 = 7, there are 7
tables with 2 chairs and 18 tables with 4. Double-check this
by computing: (18 x 4) + (7 x 2) = 72 + 14 = 86.
Another way to do this problem is to plug the answer
choices into the following equation:
4t + 2(25 - t) = 86
Start with choice (C) since it's in the middle:
4(15) + 2(25 - 15) = 60 + 20 = 80
That's too few chairs. You have to try a bigger choice. Try (D):
4(18) + 2(25 - 18) = 72 + 14 = 86
It works! Either way you approach this problem, the answer
is (D).