|
I recently had the opportunity to teach my first
class, a prep course for the GRE. If you're on this page, you were
probably searching for a free resource for vocabulary, or possibly a few hints
on the quantitative section. Lucky for you, you've found both below.
Before you jump in, however, take a minute to check
out the
ETS site. In November 2007, ETS was rolling out new question
types, and it would help you to be familiar with there.
Second, hopefully you've purchased a prep book.
I recommend the
Princeton Review book, and just used the
Kaplan text in the aforementioned class. It would be a wise
investment to get a math workbook as well, as the GRE tests advanced
concepts in algebra and geometry - the
Kaplan Math Reference is a decent source.
So you've just spent $50 on test books. Do you
need a class? Maybe. It depends on your self-discipline on
working through concepts and problems. If you need structure, or
if you want someone to bounce questions off of, check with your local
university to see if they have a class. You might also want to
check Kaplan and other providers, but beware that these may not be
inexpensive options.
Finally, the GRE is not a cakewalk. Take the
time beforehand to understand the structure of the test and the concepts
that you'll be expected to know. Remember that many graduate
schools put great weight on the GRE score in their admission decisions,
and that you are competing with a large number of great applicants.
Please note the necessary legalese - I believe the
information below to be correct, however do not guarantee such.
You may use this material at your own risk, but please understand that I
will not accept any responsibility for errors or omissions below.
Thank you.
Good luck!
|
|
|
The GRE
quantitative section can be difficult, but you'll feel much more
confident and will perform much better if you memorize some basic rules.
|
Topic |
Rule |
Result |
|
Order of Operations |
30 - 5 x 4 + (7-3)2
/ 8
30 - 20 + 42 / 8
10 + 16 / 8
10 + 2
12 |
PEDMAS
Parenthesis
Exponents
Division/Multiplication
Addition/Subtraction |
|
Fractions |
1/2 + 3/4
2/4 + 3/4
5/4
1 1/4 |
When adding or subtracting a fraction, the denominator (lower or
right figure) MUST be the same. Find a common denominator and
multiply both halves of the fraction = 1/2 is the same as 2/4
and 4/8 |
|
Fractions |
(1/4) / (1/2)
(1/4) x (2/1)
2/4
1/2 |
When dividing a fraction, "flip" the denominator and multiply
the two fractions - numerator by numerator and denominator by
denominator. |
|
Decimals |
1.25 + 3.25 = 4.50 |
When adding decimals, simpy align the decimals and add like
normal, being careful to carry the decimal into the sum |
|
Decimals |
1.25 x 3.25
125 x 325 AND
4 decimals from right
1.25 x 3.25 = 4.0625 |
When multiplying a decimal, multiply as if the decimals weren't
there. Count the number of decimal places in the original
numbers, and place the decimal that many from the right |
|
Exponents |
20 = 1 |
Basic rule - any number to the 0 power is 1 |
|
Exponents |
21 = 2 |
Basic rule - any number to the 1st power is the number |
|
Exponents |
22 x 24
= 26 |
If you forget this rule, plug simple numbers -
22 = 4
and 24
= 16, so the result is 64.
26
= 2 x 2 x 2 x 2 x 2 x 2 = 64 |
|
Exponents |
(25)2
= 210 |
Again, an exponential is multiplication. Both instances here
equal 1024. |
|
Exponents |
26 x 22
= 24 |
If you forget, prove it out. 26
= 64 and 22
= 4, which equals 24,
or 16. |
|
Exponents |
2-2 =
1 / 22
= 1/4 |
A negative exponent means the number is in the denominator of a
fraction. |
|
Exponents |
2(1/2)
= √2 |
A fractional exponent means a root. The one you need to know is
the power of 1/2, which is the same as saying, square root. |
|
Square Roots |
√3 x √12 = √36 |
If you forget the rule, estimate. You know √3 is approx. 1.7,
and that √12 must be about halfway betwwen √9, or 3,and √16, or
4, so pick 3.5. If you multiply these estimates, you'll get
5.95. Close enough. |
|
Square Roots |
√2 + √3 does NOT equal √5
|
√2 is approximately 1.4 and √3 is approx. 1.7, so the equation
is approx. 3.1. √5 is approx. 2.2, so remember, if you can't
remember the rule, plug in "easy" numbers and see how it works
out. |
|
Square Roots |
√3 + √3 = 2√3
|
As long as the radical is the same, you can reduce. |
|
Square Roots |
√(16/4) = √16/√4 = 4/2 = 2 |
CAREFUL! You could solve the first equation to √4, or 2, but do
not be tempted to divide in the second equation and think the
answer is 4. |
|
Square Roots |
√(75/27)
√(25x3) / √(9x3)
5√3 / 3√3
5/3 |
A fraction may be factored, and multiple factors moved outside. |
|
Square Roots |
6√3 x 2√5
(6 x 2) x (√3 + √5)
12 x √15
12√15 |
|
You can expect
that about half of your quantitative questions will involve geometry,
and many will combine concepts, forcing you to draw a triangle within a
circle, for example, to get to the answer. Memorize the equations
below:

Finally,
understand that the verbal section, especially the analogies and
antonyms, rely on an advanced vocabulary. Even if you think you
have this covered, review the attached, s the GRE tests words that I'd
challenge any "normal" person to use in conversation, and indeed, I
suspect many of the words would look out of place in a graduate thesis!
This
Excel file includes a simple list of
words. I'd recommend that you print this
out, fold the definitions under, and go through to see which you know
for certain, which you thought you knew, and those that you've never
seen before. There is a review column that you can use to flag
those that you want to focus upon, and you can use the filter to isolate
that list.
The
Word file includes
simple flashcards for the 786 words in this list. It prints to 79
pages, or 40 front-and-back, and is formatted for business card stock.
You can, of course, use regular paper as well. These are great to
carry in your shirt pocket or purse for the five and ten minute study
breaks that you can grab throughout the day.
Here's the
list that you'll likewise see in both files above.
|
Word |
Definition |
|
abase |
verb: to disgrace, humble, demean |
|
abate |
verb: to lessen in degree or intensity |
|
abdicate |
verb: to step down, relinquish, resign |
|
aberrant |
adjective: deviating from the norm |
|
abet |
verb: to aid or assist (think "the enemy") |
|
abeyance |
noun: delay, postponement, momentary suspension |
|
abjure |
verb: to repudiate, renounce, retract, recant |
|
abscond |
verb: to depart secretly, to avoid capture and
prosecution |
|
abstain |
verb: hold back, abjure, do without, give up |
|
abstemious |
adjective: abstinent, restrained, temperate in
appetite |
|
abyss |
noun: chasm, deep hole |
|
accolade |
noun: an expression of praise |
|
accretion |
noun: an increase in size or amount |
|
acerbic |
adjective: bitter or sharp in taste, harsh |
|
acidulous |
adjective: acerbic, tart, pungent |
|
acme |
noun: peak, summit, highest point |
|
acumen |
noun: accurate knowledge or insight, keen |
|
adjacent |
adjective: touching, adjoining, contiguous |
|
adulation |
noun: excessive flattery or admiration |
|
adulterate |
verb / adj: corrupt, falsify, blend /
attenuated, contaminated, weakened |
|
adumbrate |
verb: to vaguely foreshadow |
|
advocate |
verb / noun: support, argue for, recommend / one
who… |
|
aerie |
noun: a nest or perch high in the air |
|
aesthetic |
adjective: appreciative of art, concerning a
sense of beauty |
|
affected |
adjective: artificial, insincere, pretentious |
|
aggrandize |
verb: to increase in scope, size, or intensity |
|
alacrity |
noun: enthusiastic willingness, promptness |
|
alchemy |
noun: a process of turning a low-value substance
into one of higher value (i.e., lead to gold) |
|
alleviate |
verb: to assuage, soothe, ease, or relieve |
|
alleviation |
noun: the giving of relief |
|
amalgamate |
verb: to combine multiple elements into one
whole |
|
ambiguous |
adjective: doubtful, ambiguous, uncertain |
|
ameliorate |
verb: to make better, improve |
|
amenable |
adjective: responsive to, agreeable |
|
amiable |
adjective: sociable, friendly |
|
amortize |
verb: to reduce through installment payments |
|
amulet |
noun: a talisman worn to ward off evil spirits |
|
anachronism |
noun: something out of place chronologically |
|
analgesia |
noun: a lessening of pain |
|
analogous |
adjective: similar, like, homogeneous |
|
anathema |
noun: a detested person, an accursed or damned
person |
|
anodyne |
adjective: soothing, relieving |
|
anomaly |
noun: aberration, departure, inconsistency,
irregularity |
|
antagonize |
verb: to provoke anger in another, incite |
|
antipathy |
noun: hatred, disgust, incompatibility |
|
apathetic |
adjective: uncaring |
|
apathy |
noun: uncaring, disinterest, disregard,
passiveness |
|
apocryphal |
adjective: of questionable authenticity or
authority |
|
apogee |
noun: highest point, culmination, zenith |
|
apostate |
noun: a person who forsakes religion or
long-held convictions |
|
apotheosis |
noun: deification, treatment as example or
placed on a pedestal |
|
approbation |
noun: approval, commendation, sanction |
|
arbitrary |
adjective: random, wayward, determined by chance |
|
arbitrate |
verb: to adjudge, to decide a conflict between
two parties |
|
arbitration |
noun: the resolving of a dispute |
|
archaic |
adjective: antiquated, characteristic of an
earlier period |
|
ardor |
noun: intense emotions, passion, devotion |
|
arduous |
adjective: difficult, strenuous, taxing |
|
arrogate |
verb: to appropriate, claim without right |
|
articulate |
adjective: eloquent, clear-spoken, expressive |
|
ascetic |
noun: practice of self-denial |
|
asperity |
noun: roughness, harshness, severity |
|
assail |
verb: to assault, attack, strike |
|
asseverate |
verb: to aver, assert, allege |
|
assuage |
verb: soothe, alleviate, reduce, lessen |
|
astringent |
adjective: harsh, severe, sharply incisive,
having a tightening effect on tissue |
|
atrophy |
noun: degeneration from disuse, wasting away |
|
attenuate |
verb: to weaken, debilitate, reduce in force |
|
audacious |
adjective: arrogant, risky, impertinent,
reckless |
|
augury |
noun: divination, omen, portent, token |
|
august |
adjective: venerable, inspiring reverence |
|
austere |
adjective: bare, simple, ascetic, lacking
adornment |
|
avarice |
noun: greed |
|
aver |
verb: to state as a fact |
|
axiom |
noun: principle, aphorism, proverb, maxim |
|
banal |
adjective: predictable, boring, clichéd, trite |
|
bawdy |
adjective: lewd, racy |
|
belfry |
noun: steeple or tower where bell is hung |
|
benediction |
noun: a blessing |
|
bent |
noun: proclivity, inclination |
|
bevy |
noun: gang, group, gathering |
|
bifurcate |
verb: to divide in two parts, bisect |
|
bilk |
verb: to cheat, defraud, gyp |
|
blandishment |
noun: speech intending to flatter or coax |
|
blight |
verb: to afflict, damage, destroy |
|
blithe |
| |