Aptitude tests include such tests as the
ACT, SAT, GRE, GMAT, LSAT, MCAT and others.
They, of course, do not measure aptitude, if by aptitude we mean
inherent intellectual ability and potential.
I deny that there is such a thing as an “IQ”—a relatively constant
numeral that represents your “intelligence.”
Top grades were for me a grind. I
aced Social Studies and English, but I struggled in Physics and Geometry. When I look at myself, it makes me question
where the intelligence of someone can be reduced to a number or a couple of
numbers, and I suspect there are as many kinds of mental capacity as there are
people. I cannot carry a tune, catch a
football, do calculus, or give a speech. (An eleventh grade report card shows
me with ‘C’s in Geometry and Physics.)
To paraphrase Gilbert and Sullivan, in things arithmetical and
mechanical, I’m far from the model of a modern Major General! But teachers liked me. I did my homework, enjoyed class discussions,
took leadership roles when the opportunities arose, allied myself with brighter
kids, and was highly motivated. All of
that helped me to succeed in school.
What these tests do measure is your
understanding of how to take the test—a meaningless skill in itself but an
essential skill for differentiating yourself from others throughout your
life. I’ve yet to go on a job interview
where someone has quizzed me on the Binomial Theorem or has asked me to do
analogies. And in all my years as a
computer programmer, I’ve never used mathematics beyond that of what an eighth
grader would know. I consider such tests
a perversion of our meritocracy and yet another characteristic of our unfair
society. It is a doorway that filters
out talent. Economic advantage allows
wealthier families to take the test prep courses. It is their kids that go on to the elite
schools and careers. A child from a
slum who has a SAT of 1000 and a child from a prep school with a SAT of 1000
don’t have the same intelligence, and it is the latter who is the dunce.
You're entering a never-never land where
you must learn an artificial language, suspend common sense, and never use your
knowledge and judgment. The premium is
not on answering questions deeply but answering those questions with the answer
that ETS wants—which isn’t always the correct or appropriate answer. The most important thing you need to
understand is that is possible and likely for you or anyone else to get a top
score. The Educational Testing Service
of Princeton, New Jersey, will deny that there is a system for getting high
scores on these tests. Here is a typical
nugget of misinformation from ETS about the GMAT, and it will be your loss if
this is what you believe: “The GMAT is
an aptitude test rather than a test of knowledge. It is not designed to test specific knowledge
in business or other specialized subjects.
Cramming, therefore, is neither advisable nor recommended.” The mere fact that test prep companies and
publishers year after year make millions of dollars from students who want to
get high scores is proof that ETS is mistaken.
On that basis alone, I would say that cramming is both advised and
recommended.
The difference between my SAT and my GRE
was 230 points and my MAT score was above the 98th
percentile. My intelligence didn’t
change. All that changed was that I
didn’t took the SAT seriously whereas I did take the GRE and MAT seriously. For a few years in the late 1970s and early
1980s, I was in Mensa, the so-called high-IQ club. When I was at Manhatten’s Williams Club where
the monthly meeting was held, I met F. Lee Bailey, Isaac Asimov, the Australian
ambassador and other interesting people.
In the five years that I was in the organization, I came to realize two
somewhat contradictory things. First,
that there is quite a gap from being smart and testing smart, especially after
meeting many Mensans who believe in astrology and other such nonsense. Secondly, if you can test smart, door to
opportunities will open for you. For
example, I met my book agent through Mensa and not a few people met their
spouses in Mensa as well.
Perhaps at the end of the day aptitude
is nothing more than awareness, will, and effort. This essay will give you the awareness. It is up to you to marshal the will and
effort. Whenever I find out that I have
to take a test by ETS, my confidence soars, as I know that these tests have a
common parentage and test-writing methodology.
Here is what I would do to get a top score
on any aptitude test:
Some college aptitude tests will now
include an essay section. This will test
a number of qualities that the gatekeepers think are important, such as
grammar, creativity, vocabulary, and possibly Palmer Method penmanship.
I’ve never taken an aptitude test that has
an essay section, so you will need to pay attention to the instructions. However, I think I can give you some
guidelines on how to write a good essay, as this book is nothing but
essays. An essay, a sally of the mind,
is your effort to express a point of view.
But facts and illustrations must buttress your opinion. Make sure you understand the question, and
pay particular attention to such words as “explain” or “contrast.” Before you start writing, spend a few
minutes organizing your thoughts by writing notes of the margin of test
booklet. These can be nothing more than
lists of facts or ideas. The
construction of the essay should generally follow this format:
I.
Strong
introduction or opening topic sentence
A. What I’m going to write about
B. How I’m going to describe that
II.
Body
with illustrations, facts, and anecdotes that support the topic sentence
III.
Strong
conclusion or closing statement
A. What I just wrote about
B. How the facts, illustrations, and
anecdotes have supported the topic sentence
Write carefully and concisely, with
nouns and verbs. Avoid generalities or clichés. Try to express a clear point of view. Be careful about presentation. Make sure your pencils are sharp and that you
write a neatly and as accurately as possible.
If you must erase, be sure that you erase the mistake completely so that
your don’t smear the paper. Leave yourself a few minutes so that you can
review your essay before time has run out.
A
reading comprehension test is a bit like an essay test, except that someone
else has written the essay. Read the
questions first. Underline the topic
sentence, which is usually in the paragraph, and the conclusion, which is
usually in the last paragraph. Circle key
facts-- names of places or people,
numbers, and statistics. Look for
assumptions—what the author believes but doesn’t necessarily state—and implications—conclusions
that we can infer but the author doesn’t necessarily state. Read slowly and try to comprehend the thrust
of the essay before you answer any questions.
A
good vocabulary starts with curiosity.
If you encounter a word you don’t know, make an effort to find out what
it means and then look for opportunities to use it yourself. Words you find in aptitude tests are words
you would find in the New York Times or TIME.
On occasion, read those publications.
Be alert for any new words that you see.
Try to figure out what they mean from the context. If you still don’t know what they mean, get
out your dictionary and find out for yourself.
If you can understand all of the words
in this book, I suspect your vocabulary is good enough for you to do well on
any aptitude test.
Mathematics is a staple of most aptitude tests. To do well on these tests, familiarize
yourself with the kinds of questions that will be asked. Take as much algebra and geometry that you
can get by tenth grade. The best
approach is to master the mathematical principles that will allow you to solve
an application of that principle by breaking down the resolution into logical
steps. Here are five typical examples.
|
Principle |
Application |
Resolution Steps |
|
Basic equations |
A coin collector has 1000 old coins.
Some of them are worth $10 each, the rest are worth $5 each. If the total value of the 1000 coins is
$6000, how many are worth $10 each? |
1.
X = the number of coins worth $10 each 2.
1000 – X = number of coins worth $5 each 3.
10x dollars = value of all the $10 coins 4.
5(1000 – X) = value of all the $5 coins 5.
6000 = 10X + 5(1000 – X) 6.
6000 = 10X + 5000 – 5X 7.
6000 = 5X + 5000 8.
5X = 1000 9.
X = 200 |
|
The Pythagorean theorem |
The legs of a right triangle are in the ratio 1:2 and its area is
36. What is the hypotenuse of the
triangle? |
1.
X and 2X = legs of the triangle 2.
36 = area = ½(base X height) 3.
36 = ½(2x)(x) 4.
x squared = 36 5.
x = 6 6.
2x = 12 7.
hypotenuse squared = 6 squared + 12 squared = 36 + 144 8.
hypotenuse squared = 160 9.
hypotenuse = square root of 180 = square root of (36)(5) = 6 square
root of 5 |
|
Distance = Rate X Time |
A man drives a distance of 120 miles at an average speed of 40 MPH and
then returns at an average speed of 60 MPH.
What is his average spending in MPH for the entire trip? |
1.
120/40 = 3 hours 2.
120/60 = 2 hours 3.
240 miles in five hours or 48 MPH |
|
If X = Y, then 2X = 2Y |
2 + 1 + ½ + ¼ + 1/8 + 1/16 + … = X |
1.
2X = 4 + 2 + 1 + ½ + ¼ + 1/8 + … 2.
-X = -2 – 1 – ½ - ¼ - 1/8 - … 3.
Add both equations 4.
X = 4 |
|
Simplification |
Simplify 7/y + y/7 |
1.
7y is the common denominator 2.
y/7 = y squared/7y squared 3.
7/y = 7 squared/7y = 49/7y 4.
y/7 + 7/y = y squared/7y + 49/7y = (y2 + 49)/7y |
How
can you ace a grammar test? You won’t be
asked to parse a sentence. I don’t even
know how to parse a sentence, despite my command of English. Rather, you will usually have to identify
errors within a sentence. The best
preparation for this is to read, so that you can distinguish a well-written
sentence from a poorly written sentence.
I don’t think knowledge of grammar in itself is as important as having a
sensitive ear for words in sentences that just don’t sound right.
Here are some examples. I have italicized the part of the sentence
that is in error and put in parenthesis the correction. Read these sentences and try to understand
what is wrong and why it is wrong.
1. There seem
(seems) nowadays to
be little of the optimism that imbued our ancestors with courage and hope.
2. The high school graduate, if he is
eighteen or nineteen, has these alternatives: attending college, finding a job,
or (joining) the army.
3. Since it was an unusually warm day,
the dog laid (lay) under the tree all
afternoon.
4. There was (were) only an apple and three pears in the refrigerator.
5. The Chairman of the Board made it
clear that that meet that he will (would)
not step down from his position as chairman.
6. I have no doubt about my being able
to run faster that him (he) today.
7. These kind (kinds) of people are not the type I wish to associate with.
8. After the critics see the two plays,
they will, as a result of their experience and background, be able to judge
which is the most (more) effective
and moving.
9. Each of the hotel’s 500 rooms were (was) equipped with high quality air
conditioning and television.
10. The lilacs smell sweetly (sweet) at this time of the year.