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GRE Math Formulas Cheat Sheet

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…and affect your chances at achieving good GRE test scores.

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.

GRE Math Formulas Cheat Sheet - magoosh

Not sure when to use these math formulas? offers lesson videos and practice questions to help you learn to put these formulas to use. And our 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)!}

Watch about Combinations and Permutations.

 

Probability

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

Learn more about Probability.

 

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