ACCUPLACER
Secrets in Action
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TABLE OF CONTENTS
ACCUPLACER SECRETS IN ACTION ................................................................................................................... 3
SAMPLE QUESTION FROM THE SENTENCE SKILLS TEST ........................................................................................................ 3
SAMPLE QUESTION FROM THE ARITHMETIC TEST .................................................................................................................. 6
SAMPLE QUESTION FROM THE READING COMPREHENSION TEST ........................................................................................ 9
SAMPLE TOPIC FOR THE ESSAY ................................................................................................................................................ 13
SAMPLE QUESTION FROM THE COLLEGE-LEVEL MATHEMATICS TEST ............................................................................. 16
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Accuplacer Secrets in Action
Sample Question from the Sentence Skills Test
Louisa May Alcott’s difficulty over the philosophical brilliance of her father’s
intellect was tempered by her impatience with his unworldliness
A. exasperation with
B. respect for
C. rebellion against
D. reverence for
Let’s look at a couple of different methods of solving this problem.
1. Understand What to Expect
Before you have read any of the answer choices and begin to stumble over some of
the complicated vocabulary words used in the answer choices, see if you can predict
what the answer might be, based on the information provided to you in the problem
sentence. You aren’t trying to guess the exact word that might be in the correct
answer choice, but only the type of word that you should expect. Is it a positive
word, negative word, etc.
Ask yourself what sort of words would likely fill the blanks provided. Consider that
she loved her father and thought highly of him, particularly with regards to his
intelligence. Therefore, you should expect a verb with a positive meaning.
Now that you have an idea of what to expect in a correct answer choice, review the
choices provided. Choices B and D both have a positive word, “respect” and
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“reverence” respectively, so either could be correct. Looking further ahead to the
second verb in the sentence “tempered,” you notice that it means modifying or
adjusting. It does make sense that her perception of a positive attribute of her
father’s would be modified or adjusted by a negative attribute (his unworldliness),
making choice D correct.
2. Group the Answers
Review the answer choices and try to identify the common aspects of each answer
choice. Are any of the words synonyms or antonyms?
Without ever having looked at the problem, but simply reviewing the answer
choices can tell you a lot of information. Classify the words in the answer choice as
positive or negative words and group them together. For example, you can tell that
both answer choice A and C deal with “anger”, using the words “exasperation” and
“rebellion”. Answer choices B and D deal with “appreciation”, using the words
“respect” and “reverence”.
Grouping answers makes it easy to accept or reject more than one answer at a time.
By reviewing the context of the sentence, “appreciation” makes more sense than
“anger” in describing a woman’s perception of her father’s intellectual brilliance.
Therefore, answer choices A and C can both be rejected simultaneously, leaving you
with choices B and D.
Once again, in comparing the remaining words in choice B and D, “tempered”, with
its root word “temper” acting as a modifying agent makes choice D the better
answer.
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3. Make it Easier
As you go through and read the sentence and answer choices, don’t allow a
complicated wording to confuse you. If you know the meaning of a phrase and it is
over complicated, be sure to mentally substitute or scratch through and write above
the phrase an easier word that means the same thing.
For example, you can rewrite “Louisa May Alcott’s -------- the philosophical brilliance
of her father’s intellect was tempered by her impatience with his unworldliness” as
“Louisa May Alcott’s -------- her father’s intelligence was tempered by her
impatience with his simplicity.
Using words that are simpler and may make it easier for you to understand the true
context of the sentence will make it easier for you to identify the correct answer
choice. Similarly, you can use synonyms of difficult words as a mental replacement
of the words in the answer choices to make it easier for you to understand how the
word fits into the sentence.
For example, if you know the meaning of the word “reverence” in choice D, but have
difficulty understanding how it fits into the sentence, mentally replace it with the
word “appreciation.” Appreciation means the same thing and may be easier for you
to read and understand in the context of the sentence.
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Sample Question from the Arithmetic Test
Three coins are tossed up in the air. What is the probability that two of them will
land heads and one will land tails?
A. 0
B. 1/8
C. 1/4
D. 3/8
Let’s look at a few different methods and steps to solving this problem.
1. Reduction and Division
Quickly eliminate the probabilities that you immediately know. You know to roll all
heads is a 1/8 probability, and to roll all tails is a 1/8 probability. Since there are in
total 8/8 probabilities, you can subtract those two out, leaving you with 8/8 – 1/8 –
1/8 = 6/8. So after eliminating the possibilities of getting all heads or all tails, you’re
left with 6/8 probability. Because there are only three coins, all other combinations
are going to involve one of either head or tail, and two of the other. All other
combinations will either be 2 heads and 1 tail, or 2 tails and 1 head. Those
remaining combinations both have the same chance of occurring, meaning that you
can just cut the remaining 6/8 probability in half, leaving you with a 3/8ths chance
that there will be 2 heads and 1 tail, and another 3/8ths chance that there will be 2
tails and 1 head, making choice D correct.
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2. Run Through the Possibilities for that Outcome
You know that you have to have two heads and one tail for the three coins. There
are only so many combinations, so quickly run through them all.
You could have:
H, H, H
H, H, T
H, T, H
T, H, H
T, T, H
T, H, T
H, T, T
T, T, T
Reviewing these choices, you can see that three of the eight have two heads and one
tail, making choice D correct.
3. Fill in the Blanks with Symbology and Odds
Many probability problems can be solved by drawing blanks on a piece of scratch
paper (or making mental notes) for each object used in the problem, then filling in
probabilities and multiplying them out. In this case, since there are three coins
being flipped, draw three blanks. In the first blank, put an “H” and over it write
“1/2”. This represents the case where the first coin is flipped as heads. In that case
(where the first coin comes up heads), one of the other two coins must come up tails
and one must come up heads to fulfill the criteria posed in the problem (2 heads and
1 tail). In the second blank, put a “1” or “1/1”. This is because it doesn’t matter
what is flipped for the second coin, so long as the first coin is heads. In the third
blank, put a “1/2”. This is because the third coin must be the exact opposite of
whatever is in the second blank. Half the time the third coin will be the same as the
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second coin, and half the time the third coin will be the opposite, hence the “1/2”.
Now multiply out the odds. There is a half chance that the first coin will come up
“heads”, then it doesn’t matter for the second coin, then there is a half chance that
the third coin will be the opposite of the second coin, which will give the desired
result of 2 heads and 1 tail. So, that gives 1/2*1/1*1/2 = 1/4.
But, now you must calculate the probabilities that result if the first coin is flipped
tails. So draw another group of three blanks. In the first blank, put a “T” and over it
write “1/2”. This represents the case where the first coin is flipped as tails. In that
case (where the first coin comes up tails), both of the other two coins must come up
heads to fulfill the criteria posed in the problem. In the second blank, put an “H” and
over it write “1/2”. In the third blank, put an “H” and over it write “1/2”. Now
multiply out the odds. There is a half chance that the first coin will come up “tails”,
then there is a half chance that the second coin will be heads, and a half chance that
the third coin will be heads. So, that gives 1/2*1/2*1/2 = 1/8.
Now, add those two probabilities together. If you flip heads with the first coin, there
is a 1/4 chance of ultimately meeting the problem’s criteria. If you flip tails with the
first coin, there is a 1/8 chance of ultimately meeting the problem’s criteria. So, that
gives 1/4 + 1/8 = 2/8 + 1/8 = 3/8, which makes choice D correct.
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Sample Question from the Reading Comprehension Test
Mark Twain was well aware of his celebrity. He was among the first authors to
employ a clipping service to track press coverage of himself, and it was not unusual
for him to issue his own press statements if he wanted to influence or "spin"
coverage of a particular story. The celebrity Twain achieved during his last ten years
still reverberates today. Nearly all of his most popular novels were published before
1890, long before his hair grayed or he began to wear his famous white suit in
public. We appreciate the author but seem to remember the celebrity.
Based on the passage above, Mark Twain seemed interested in:
A. maintaining his celebrity
B. selling more of his books
C. hiding his private life
D. gaining popularity
Let’s look at a couple of different methods of solving this problem.
1. Identify the key words in each answer choice. These are the nouns and verbs that
are the most important words in the answer choice.
A. maintaining, celebrity
B. selling, books
C. hiding, life
D. gaining, popularity
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Now try to match up each of the key words with the passage and see where they fit.
You’re trying to find synonyms and/or exact replication between the key words in
the answer choices and key words in the passage.
A. maintaining – no matches; celebrity – matches in sentences 1, 3, and 5
B. selling – no matches; books – matches with “novels” in sentence 4.
C. hiding – no matches; life – no matches
D. gaining – no matches; popularity –matches with “celebrity” in sentences 1, 3, and
5, because they can be synonyms
At this point there are only two choices that have more than one match, choices A
and D, and they both have the same number of matches, and with the same word in
the passage, which is the word “celebrity” in the passage. This is a good sign,
because the test writers will often write two answer choices that are close. Having
two answer choices pointing towards the same key word is a strong indicator that
those key words hold the “key” to finding the right answer.
Now let’s compare choice A and D and the unmatched key words. Choice A still has
“maintaining” which doesn’t have a clear match, while choice D has “gaining” which
doesn’t have a clear match. While neither of those have clear matches in the
passage, ask yourself what are the best arguments that would support any kind of
connection with either of those two words.
“Maintaining” makes sense when you consider that Twain was interested in tracking
his press coverage and that he was actively managing the “spin” of certain stories.
“Gaining” makes sense when you consider that Twain was actively issuing his own
press releases, however one key point to remember is that he was only issuing these
press releases after another story was already in existence.
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Since Twain’s press releases were not being released in a news vacuum, but rather
as a response mechanism to ensure control over the angle of a story, his releases
were more to maintain control over his image, rather than gain an image in the first
place.
Furthermore, when comparing the terms “popularity” and “celebrity”, there are
similarities between the words, but in referring back to the passage, it is clear that
“celebrity” has a stronger connection to the passage, being the exact word used
three times in the passage.
Since “celebrity” has a stronger match than “popularity” and “maintaining” makes
more sense than “gaining,” it is clear that choice A is correct.
2. Use a process of elimination.
A. maintaining his celebrity – The passage discusses how Mark Twain was both
aware of his celebrity status and would take steps to ensure that he got the proper
coverage in any news story and maintained the image he desired. This is the correct
answer.
B. selling more of his books – Mark Twain’s novels are mentioned for their
popularity and while common sense would dictate that he would be interested in
selling more of his books, the passage makes no mention of him doing anything to
promote sales.
C. hiding his private life – While the passage demonstrates that Mark Twain was
keenly interested in how the public viewed his life, it does not indicate that he cared
about hiding his private life, not even mentioning his life outside of the public eye.
The passage deals with how he was seen by the public.
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D. gaining popularity – At first, this sounds like a good answer choice, because Mark
Twain’s popularity is mentioned several times. The main difference though is that
he wasn’t trying to gain popularity, but simply ensuring that the popularity he had
was not distorted by bad press.
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Sample Topic for the Essay
Possessions can be extremely difficult to give up or lose due to the personal
attachment that develops over the years.
Assignment: Do you agree or disagree with the topic statement? Support your
position with one or two specific examples from personal experience, the
experience of others, current events, history, or literature.
Let’s look at a few different methods and steps to solving this problem.
1. What’s the Goal?
Remember that on the essay portion of the Accuplacer, there isn’t a “correct”
answer. The response you choose to give to the topic provided does not have to be
the first thing that comes to your mind. In fact, the side or response you pick doesn’t
even have to support the side of the topic that you actually believe in. It is better to
have a good explanation for the position, rather than to actually believe in the
position on the topic. However, typically you will find that the side you believe in is
also the side that you have the most information that you can write about.
To go through some of the steps that you could walk through as you develop your
response, let’s choose to support the belief that the attachment develops over the
years.
As you consider some good examples of possessions, your first thought might be the
importance of your home or car, which are necessary for the basic functions of life,
such as providing a roof over your head and a method of transportation. Yet, what
would be your supporting answer about why your car is important and would be
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difficult to give up? Some possibilities might be: “it gets me where I need to go, it is
brand new, it is expensive, I like it a lot, it would be difficult to replace, it’s shiny.”
These answer choices may fill up some space, but don’t have much meaning. There
are other possessions in your life that have much more meaning and priority in
other ways that would be better to write about.
Think of possessions that have meaning beyond the mere basics of shelter or
transportation. You want a examples that you could potentially write pages and
pages about, filling each of them with depths of passionate detail. While you
probably won’t have time to write pages and pages, it’s good to have a examples that
have plenty of room to be expanded upon.
2. Make a Short List
The best way to think of examples you would want to include might be to create a
short list of possibilities.
What are some that you would truly hate to give up? What are things that you
would regret and miss for years to come? What are items that would fit the
description of having an emotional attachment develop over the years? Perhaps a
precious heirloom, a family antique, or a faded photograph would be suitable
examples.
After you’ve made your list, look back over it and see which possessions you could
write the most information about. Those are the ones you would want to include as
examples.
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3. Answer “Why”
Notice that choosing possessions and writing about them is not the only thing that
you have to do. You have to explain your position. You have to answer the “Why.”
That is an all-important question. If y
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