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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!

 

Math Reference

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. 
2
6 = 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
 

 

 

Geometry Reference

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:

 

 

 

Vocabulary

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