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GRE Math Formulas Cheat Sheet

Update 6/8/12: Even better than a cheat sheet– download our free GRE Math Formula eBook!

Before walking into the GRE, it is a good idea to know the following formulas/tidbits. In fact, not knowing the information below can seriously hurt your chances of answering a question correctly.

At the same time, while this is a very useful cheat sheet, do not just memorize formulas without actually applying them to a question. Often students will see a question and will assume that a certain formula is relevant. This is not always the case. So make sure you practice using the formulas so you will know when they pertain to a question.

Not sure when to use these math formulas? Magoosh GRE prep offers lesson videos and practice questions to help you learn to put these formulas to use. And our Android/iPhone Prep App allows you to access that content on the go.

And now…GRE math formulas!

 

Interest

Simple Interest: V=P(1+rt/100), where P is principal, r is rate, and t is time

Compound Interest: V=P(1+r/{100n})^nt, where n is the number of times compounded per year

 

Work Rates

{1/{T}}={1/{time 1}}+{1/{time 2}}, where T is the time to completion of a task when two workers are combining effort.

 

Sets

{A+B}-{({A}bigcup{}{}{ B})}

 

Distance, Rate, and Time

D=rtDistance=Rate*Time

 

Circles

Area=pi{r}^2

Circumference=2pi{r}

Arc Length={x/360}2{pi}r

Area of sector={x/360}{pi}r^2

 

Squares

Perimeter=4s, where s = side

Area = s^2

 

Rectangles

Area = l*w, where l = length and w = width

Perimeter = 2l+2w

 

Trapezoids

{{Base1+Base2}/2}*height

 

Polygons

Total degrees = 180(n-2), where n = # of sides

Average degrees per side or degree measure of congruent polygon = 180(n-2)/n

 

The Distance Formula

sqrt{({x_2}-{x_1})^2+({y_2}-{y_1})^2}

 

Prime numbers and integers

1 is not a prime. 2 is the smallest prime and the only even prime.

An integer is any counting number including negative numbers (e.g. -3, -1, 2, 7…but not 2.5)

 

Fast Fractions

{1/x}+{1/y}={x+y}/{xy} i.e. {1/2}+{1/5}={2+5}/{2*5}=7/10

 

Divisibility

3 : sum of digits divisible by 3

4 : the last two digits of number are divisible by 4

5 : the last digit is either a 5 or zero

6 : even number and sum of digits is divisible by 3

8 : if the last three digits are divisible by 8

9: sum of digits is divisible by 9

 

Combinations and Permutations

nCr={n!}/{r!(n-r)!}   n is the total number, r is the number you are choosing

nPr={n!}/{(n-r)!}

 

Probability

Probability of event = {number of ways that fit the requirement}/{number of total ways}

 

By the way, students who use Magoosh GRE improve their scores by an average of 8 points on the new scale (150 points on the old scale.) Click here to learn more.

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