Write out relevant formulas:
From the question, we
have
f
(
x
) =
x
5
and
g
(
x
) = 
x
.
A
ssemble equations:
We’re looking for
g
(
f
(1)), so
let’s spell out what that means:
g
(
f
(1)) = 
f
(1)
f
(1) = (1)
5
P
lug in and solve:
Now we just solve for
f
(1) and
plug the answer into
g
:
f
(1) = (1)
5
= 1
plug that answer into
g
g
(
f
(1)) = 1 = 1
So
our answer is C.
Data & Statistics
These questions cover probability, averages (mean,
median, & mode), and data representation (graphs,
tables, scatterplots, etc.). Here’s an example:
A car race has 2 red cars, 3 green cars, and 4 blue
cars. If a blue car comes in last, what is the prob

ability that a red car comes in first?
(A) 1/9
(B) 2/9
(C) 2/7
(D) 1/8
(E) 1/4
Now for a change of pace, let’s
UnWrAP
this one:
Un
derline:
“probability that a red car comes in
first.”
Write out relevant formulas:
2 red cars, 3 green cars, 4 blue cars
Probability
event
=
number of ways it could come true
total possible outcomes
A
ssemble equations:
We need to figure out the to

tal number of possible outcomes and the number of
ways a red car could come in first. Since there are
2 red cars, there are 2 ways one could come in first
(either one could win). Since there are 9 total cars (2
+ 3 + 4 = 9), we might think there are 9 total possible
outcomes. But since a blue car definitely comes in
last, we know that there are only 3 blue cars that
could come in first. So we get these equations:
Probability
red car winning
=
number of red cars
total cars that could win
number of red cars = 2
total cars that could win = 8
P
lug in and solve:
This should be easy:
Probability
red car winning
= 2/8 = 1/4
The answer is (E).
(800) 501Prep  TopTestPrep.com
others ask about how the sentences work together.
Flow like FloRida.
A lot of these ques

tions are about how sentences work together, so
focus on making them flow well. If Sentence 3 is
negative and Sentence 4 is positive, Sentence 4
needs to start by acknowledging the change in at

titude (“However,” “Conversely,” etc.).
The Essay
Every SAT begins with an essay. You get 25 min

utes to write up to two pages. Here’s an example:
Think carefully about the issue presented in the
following excerpt and the assignment below.
Scientific fields as varied as economics and
evolutionary biology paint a picture of hu

mans as selfish and competitive, just like the
rest of Earth’s creatures. Some people believe
we should fight this instinct, that the world
has become too competitive and people should
be more cooperative and less adversarial. But
this view underestimates the extent to which
the competitive drive is hardwired into our
brains: one person’s success will always be
someone else’s failure.
Assignment:
Must one person’s success come at
someone else’s expense? Plan and write an essay
in which you develop your point of view on this
issue. Support your position with reasoning and
examples taken from your reading, studies, expe

rience, or observations.