epdf.pub_cbest-cliffs-test-prep13a9b242c7cb4125e6cca92d00a73d5a41681

Answers and Complete Explanations for Practice Test 3
Section II: Mathematics
1. C. One way to solve this problem is to set up a ratio: 10 km is to 6.2 miles as 45 km is to
how many miles? This is expressed in mathematical terms as:
10
62 . km
m
=
45
x km
Cross multiplying gives:
10x
= 6.
2 # 45
10x
= 279
Dividing both sides by 10 gives:
10x
10
=
279
10
x=
279 .
Another method is to realize that 45 km is exactly 4 1 ⁄2 times 10 km. Therefore, the number
of miles in 45 km must be 4 1 ⁄2 times the number of miles in 10 km, or 4 1 ⁄2 times 6.2. Thus,
4. 5 # 6. 2 = 27.
9.
2. C. Add the amount paid to the real estate agent and the amount the family received to get
the sale price:
$ 63,
519
+ 5,
681
$ 69,
200
3. A. The four listed items total $1,740. Therefore, by subtracting from the listed total of
$2,220, you can see that the missing item must have cost $480:
$ 2, 220- $ 1, 740=
$ 480
4. D. 2 ⁄9 = 3 ⁄q. Cross multiplying gives 2q
= 27. Dividing both sides by 2 gives:
2q 27
2 = 2
q = 27 ⁄2
Remember to check for this answer (in improper fraction form) in the answer choices before
automatically changing to a mixed number (13 1 ⁄2).
5. D. The total of the 5 verbal SAT scores is 2,635. Dividing that total by 5 (the number of
scores) gives 527 as the average.
6. D. 1 and 3 are the only numbers that divide evenly into 6, 9, and 12.
7. C. Using the distributive property, since 51 = 50 + 1, then 50^10h+
1^10his equivalent. Or
by simply working it out, each is 510.
8. D. By plugging the value for x, 5, into the equation, you can find y.
2
y= x + 1
2
y= ^5h
+ 1
y= 25+ 1=
26
369