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

12 Practice Tests for the SAT
Practice Test Two Answers an d Exp l anations
21 1
I
make it easier to see the answer on Test Day. If there are
several possible versions of the figure, sketch a few of them.
Getting to t h e Answer:
Draw the circle and place point 0 in the middle. Place J and
Kon the outside of the circle so that a line drawn between
them passes through 0. Notice that J K is a diameter of the
circle. Now, place point L anywhere on the circle.
You know that KO =LO because both are radii of the
circle. Because the lengths of these two lines are the same,
angle LKQ and angle KLO must have the same measure.
Therefore, (D) is correct. The other choices can be true,
depending on where you place L, but none of them are
always true.
5. D
Difficu l ty: Medium
Strategic A d vice: On Test Day, use what you know about
angles to help you find the missing information. In this case,
you need to realize that each angle in a rectangle is go0 and
the angles in a triangle add up to 180°.
Getting to t h e Answer:
Since WZ and XY are parallel, their opposite angles are
equal. Angle is 60°, so angle zxy is also 60°. Since
angle WXY is go0, angle WXZ = go0 - 60° = 30°.
Since line segments WO and XO run from a corner of the
rectangle to the center, they are equal in length. This means
that triangle WOX is isosceles, and angle WXZ = angle XWY =
30°. Therefore, angle WOX = 180 - 30 - 30 = 120, or (D).
6. E
Difficu l ty: Medium
Strategic A d vice: You know the formula for finding an
average-divide the sum of the items by the number of
items. Just don't get confused as you translate between
English and math.
Getting to t h e Answer:
sum of scores
x = number of scores
x (number of scores) = sum of scores
7. A
Difficu l ty: Medium
Strategic A d vice: Don't fall into the "obvious answer" trap
of just taking the number of nickels and the number of
dimes from the two ratios to come up with 3:4. To find the
ratio of nickels to dimes, you need to get the two ratios in
proportion to one another by getting the same number of
pennies in each.
Getting to t h e Answer:
Multiplying the first ratio by 3 gives you 6:g; multiplying the
second by 2 gives you 6:8. Since the number corresponding
to pennies is now the same in each ratio, the ratio of nickels to
dimes can now be found. The ratio of nickels to dimes is g;8.
8. E
Difficu l ty: Medium
Strategic A d vice: Try out the answer choices. Since you
know that the smallest integer in set C is -2 and the
numbers are consecutive, you can make up set C given
the number of elements for that answer choice. The set
containing the least possible number of integers, where the
integers in the set also add up to a positive even number,
will be the correct answer.
Getting to t h e Answer:
Choice (A) : Set C has 4 elements, so C = {-2, - 1, 0, 1}.
This adds up to -2, so discard choice (A).
Choice (B): Set C has 5 elements, so C = {-2, -1, 0, 1, 2}.
This adds up to zero, and although zero is even, it is neither
positive nor negative, so discard choice (B).
Choice (C): Set C has 6 elements, so C = {-2, -1, 0, 1, 2, 3}.
These add up to 3, which isn't even. Discard.
Choice (D): Set Chas 7 elements, so C = {-2, -1, 0, 1, 2,
3, 4}. These add up to 7, which isn't even. Discard.
Since all other answer choices have been discarded, choice
(E) must be the correct answer, but let's check it anyway.
Choice (E): Set Chas 8 elements, so C = {-2, -1, 0, 1, 2,
3, 4, 5}. These add up to 12, which is positive and even, so
again, it must be correct.
9. 800
Difficu l ty: Low
Strategic A d vice: Use the information you have to fill in
what's missing.