Vince's Complete GRE Math Concepts Guide
GRE Math Review with Khan Academy & Prepswift
1/25/2024
Learn GRE Math With Khan Academy and Gregmat's Prepswift Math Lesson Videos
My name is Vince Kotchian, and I've been helping people raise their GRE scores since 2008 as a fulltime tutor and author.
Maybe you haven't done math in years (or decades!)  or maybe you never felt like you were good at math. Unfortunately, all of the popular GRE prep materials out there brush over math concepts very quickly and, worst of all, don't provide the basiclevel practice that you probably need. That's why I've created this guide!
The big picture:

First, learn and practice math concepts at an easy level on Khan Academy (this page will show you how). I also highly recommend Gregmat's Prepswift.

Learn some helpful strategies. My Choose Your Own GRE Math Adventure guide will help.

Drill concepts at a GRE level with my GRE Math Knight app and the Manhattan 5lb. book, as described in my study plans.

Build experience with official ETS questions and tests (ETS is the company that makes the GRE).
So, for example  let's say you learn the arithmetic concepts from Khan Academy or Prepswift, and learn some of my basic strategies. Then you can jump into doing the arithmetic chapters in the 5lb. book. And then you'll be ready to tackle some ETS questions involving arithmetic. All of the above is designed to prepare you to be able to do the ETS stuff in their books and practice tests  which, in turn, will enable you to ADAPT to the random, creative GRE questions that will appear on your screen when you take the real test.
IMPORTANT: You must be willing to adjust if you're not able to do the material in front of you on a particular day. In other words, if you're not getting 80% or more of the questions right, either slow down or move to easier practice material, or both. Skip the questions you can't do and come back to them.
And P.S.  please at least entertain the possibility that you aren't literally "bad" at math. It's more likely you just have forgotten it or never learned it well to begin with.
Now's your chance to remedy that!
A Brief Overview of This GRE Math Study Guide
Here's what you'll learn on this page:
 NEW! All about my new GRE math practice app. (Scroll down just a bit for more.)
 How long should you study for the GRE?
 What kind of math is on the GRE?
 Why certain practice materials are way better than others
 The best GRE math books for 2024
 My most important GRE math advice
 Some important tips about using Khan Academy
 All about the GRE calculator
Finally, at the very bottom of this page, you'll find my complete list of GRE math concepts with links to Khan Academy for relevant practice questions and helpful videos.
To skip straight to that complete GRE math concepts list, just click right here, or scroll waaaay down.
A GRE math practice app you'll actually enjoy!
(Promo video)
Our kingdom is held hostage by evil monsters whose only weakness is GRE math!
In GRE Math Knight, you'll hone your math skills by practicing the most commonly tested GRE math concepts.
First, build your skills on the training ground, where you can drill the basics like mental math, fractions, percents, and more, then travel to four different biomes to solve arithmetic, algebra, geometry, and data analysis GRE math questions in order to defeat the monsters.
You'll find scrolls with math formulas along the way to aid you in your quest, and fun games to play to break up your studying.
Can you save the kingdom and become a true GRE math knight??
Download Vince's GRE Math Knight for iPhone / iOS here and download for Android here, or use the buttons below.
Rave Reviews for GRE Math Knight
"I have been studying for the GRE for a long time now  needless to say, it can be frustrating not being having adequate time for hobbies (i.e. play video games). Because of that, this game is AWESOME  not only is it engaging, but it keeps you motivated to keep studying and learn key concepts. Even though studying can seem boring sometimes, this game definitely alleviates some of that pain. The concepts and explanations for problems are spelledout clearly  so it’s easy to understand where your strengths and weaknesses are."
How Long Should You Study for GRE Math?
In terms of timeframe, I've found that most people need to work hard on GRE math for 2 or ideally more like 3 months. (By "work hard" I mean study for 2 hours a day or so.) However, if you do work hard and work smart, it's predictable that your GRE math score will go up. It's a standardized test, and we can predict most of what it's going to throw at you.
If you're looking for a shortcut to master GRE math, I have bad news. There isn't one. You must:

Know the concepts backwards and forwards  i.e., you remember them without effort.

Master strategies, so you recognize when you can use a strategy and you have lots of experience using it.

Build deep experience with concepts by doing lots and lots of questions for each concept.

Build lots of experience with official ETS questions, both untimed, and under time pressure.
The bottom line is that it will take most people a few months to accomplish all four of these things. Understandably, some people already know the concepts really well, and the process can be quicker for them.
The GRE Math Section
The GRE has a brief  very brief  review of all the math subjects it tests in the free ETS Math Review. Please take a minute to stop reading and click on it and scroll through it a bit. The Math Review tells us what's on the test. In a nutshell, arithmetic, algebra, geometry, and "data analysis"  which means statistics and probability.
Now, mark which concepts you know and which ones you might not or don't know. Use the Math Review to try to learn ones you don't know. This means read about the concepts and do all the practice exercises both within the chapter and at the end of each section.
Important: If a topic in the math review is explained in a particularly wordy or confusing way, don't get bogged down with it. Add it to your list of things to practice and move on. The math review is mostly a TOOL to show you what you need to practice, NOT a complete learning guide.
Of course, you may very well need much more practice than the ETS Math Review can give you. For example, for certain concepts, you might just need a reminder  like for a certain exponent rule. For other concepts  perhaps probability  you may feel like you need much more depth.
That's where Khan Academy comes in. If you haven't used it before, it's amazing  and 100% free!
Here's a pic from the Khan Academy website to show you where the video lesson, written lesson, and practice questions are for each concept  and where you can take a quiz or test to gauge your skills.
FYI, understanding the video does NOT mean you can do the problem from scratch. So, make sure you take advantage of the practice exercises as well. Doing enough questions to convince yourself you know what you're doing for a given concept is the goal here.
Pro tip: Go straight to the the unit test for each concept which is located at the lower left corner of the screen. This saves time, and the website will prompt you with appropriate videos if you get something wrong.
If you can't do very many of the test's questions, then try starting with the quizzes or even the practice links on the right side of the screen. Don't be afraid to watch the videos, if you need more foundation for something.
Note: This process is highly variable depending on the person and how much time they have to prepare. Some of you might need minimal Khan practice, and some of you might need much, much more. If your test date is coming up soon, you may have to skip topics that are either really hard for you or that you've never seen before. Prepswift from Gregmat is a more time efficient way to do the above, but keep in mind there aren't as many questions there as on Khan, and Prepswift questions are generally harder. If you need easier questions, Khan is better.
Being halfway good at something won't cut it; if you're going to learn a concept, make sure you learn it well.
GRE Math Practice Questions
Once you've mastered a concept with Khan Academy or Prepswift, check it off on the ETS Math Review and move onto the next one. Your job is to get this whole project done ASAP, so you can start practicing with Manhattan 5lb. and ETS GRE questions. The more realistic GRE math questions you successfully solve on your own  i.e., without following someone else's solution  the better you get.
It's a numbers game, pun intended. :)
The reason this works is that, unlike a math test you'd study for in school, the GRE gets really creative with the ways it disguises math concepts. To adapt to unfamiliar problems, you need lots of experience solving real GRE math questions.
Important: Having a plan and schedule is crucial. Make sure you check out my free 1, 2, 3, and 4month GRE study plans. I also like the plans on Gregmat.
And check out GRE Math Knight  my GRE math practice app. It's not a substitute for the Manhattan 5lb. book, but it's an entertaining way to practice math concepts in a convenient app.
Download Vince's GRE Math Knight for iPhone here and download for Android here, or use the buttons below.
Video: Why GRE math is like Goldilocks and the Three Bears
Why GRE math is like Goldilocks and the Three Bears.
The Best GRE Math Books for 2024
The ETS Super Power Pack
Why buy: Contains 596 official GRE practice questions, which are worth their weight in gold.
You'll find the rest of my recommended resources in my free GRE study plans, which are designed around official ETS GRE books and practice tests. This is the big reason my plans are more effective than plans from companies like Magoosh and Kaplan, whose plans will have you wading through hundreds of unrealistic questions that those companies wrote themselves.
Fun fact: It's incredibly expensive to license ETS GRE questions ($450 per question!) so prep companies write their own. Unfortunately, it's difficult and laborious to duplicate the nuances, logical reasoning shortcuts, intricacies, and wordiness of real ETS questions, so prep companies' questions aren't very realistic and aren't usually good practice. Empty calories. And of course, prep companies' free study plans are designed to steer you into buying their courses.
A common myth is that practicing with "harder" questions than you'll see on the GRE will make the real GRE seem easier. This isn't true, because those "hard" questions  if they're written by testprep companies like Magoosh, Kaplan, or the like  will be hard for the wrong reasons  unrealistically computationheavy, obscure, or written with no possibility of a shortcut.
This is why I preach "use ETS" ad nauseam.
However  you do need experience with hard questions. If you've already found the best way to solve all the ETS questions, I recommend doing some hard official GMAT problem solving questions. Get any edition of the GMAT official guide or the GMAT quant review for those. I also recommend Gregmat's practice questions and mini quizzes (for quant only).
I have plenty of stories of people who switched from GMAT to GRE and crushed GRE quant, so GMAT can definitely help you get ready for the GRE. The concepts are almost exactly the same!
My Most Important GRE Math Tip
Although I do recommend the Manhattan 5lb. book for repetition of quant concepts, it's important to remember that being able to solve math questions on the real GRE is a skill that comes from practice with real GRE questions. Shocking, right?
Real GRE questions are hard until they're easy. By that, I mean that they're often wordy and complicated but often can be solved by cutting through the words to figure out what the question's asking, or by using a logical shortcut. They're testing your ability to think with math skills  which is why the section is called "Quantitative Reasoning".
This means that memorizing GRE math formulas, reviewing notes, using GRE math cheat sheets, and watching videos are WAY less important than getting your hands dirty by doing a ton of ETS math questions by yourself from a blank page (i.e., you're solving them, not just following a solution that has been taught to you) then keeping a detailed mistake journal (as described in my free GRE study plans).
Studying for GRE math is not like studying for a math test in school. GRE math performance demands fluency with concepts and experience with official questions, which are written in varied and creative ways. A giant database of experience from questions you've done makes it more likely the questions on the real GRE will remind you of ones you've done before.
The good news is that when you study for GRE math, the experience you accumulate doesn't go away easily since you're not memorizing; you're doing. It builds over time as long as you're still studying. Every ETS question you solve is a step in the right direction toward a higher score.
GRE Math Review with Khan Academy
Important note: If you see a concept in the ETS Math Review that you don't know but can't easily find on the Khan page I've linked to, just type it into the Khan Academy search bar.
BUT if you find a concept in Khan that is NOT in the ETS Math Review, don't worry about it*. I'll list anything you don't need in Khan next to each Khan link.
*With that said, ETS does sometimes test a very small number of topics that aren't explicitly covered in the math review. For example, sequences. But don't worry  I got you, bro. Sequences are in the list of topics linked to Khan below.
If you do have a topic for which you're not sure whether it might be tested, please ask about it on Reddit (r/GRE). I'm a moderator there, and I don't want you losing sleep over a random topic if you don't need to.
Can You Use a Calculator on the GRE?
Yes! It's an onscreen calculator that you can use at any time during a GRE quantitative section.
Your GRE calculator can add, subtract, multiply, divide, and square root. But that's pretty much it. And the display only fits 8 digits. That's why I created a free GRE calculator app to help you get used to those limitations!
Download the version for your phone with the below buttons and make your practice more realistic.
The test center at which you take the GRE will also provide you with scrap paper and a pencil. So practice using a pencil, not a pen. Update: The GRE is now online due to COVID19. You can take it at home!
So actually, practice with a whiteboard and marker, since if you take the At Home GRE, you won't be allowed to use scrap paper.
All GRE Math Topics Linked To Khan Academy
P.S. Once you're better with math concepts, you need to learn math strategies to help you solve certain types of GRE questions. To do that, try my Choose Your Own GRE Math Adventure strategy guide!
P.P.S. If you can afford $7 a month, I now recommend Gregmat's Prepswift over Khan Academy for learning math concepts. However, Khan Academy does have easier level practice if you need that.
GRE ARITHMETIC
 1.1 Basic Math Operations
 1.2 Fractions
 1.3 Exponents and Roots
 1.4 Decimals
 1.5 Real Numbers and their properties
 1.6 Ratio (includes rates, proportions, and percents)
 1.7 Percent change or try Vince's percent change video
GRE ALGEBRA
 2.1 Operations with Algebraic Expressions (skip independent / dependent variables)
 2.3 Solving Linear Equations
 2.4 Solving Quadratic Equations
 2.5 Solving Linear Inequalities
 2.6 Functions (skip recognizing fxns, max and min points, and intervals)
 and New Operator Definitions
 Vince's function video
 2.8 Coordinate Geometry
 Sequences
GRE GEOMETRY
 (skip any proofs)
 3.1 Lines and Angles
 3.2 Polygons
 Area and Perimeter of Shapes (skip anything about nets)
 3.3 Triangles (skip theorems, bisectors, medians, and centroids)
 3.4 Quadrilaterals
 3.5 Circles (skip radians)
 3.6 ThreeDimensional Figures (skip cones, pyramids, and spheres)
GRE DATA ANALYSIS
 4.2 Numerical Methods for Describing Data
 Central Tendency (mean, median, mode)
 Measures of Dispersion (range, standard deviation) skip variance; skip calculating standard deviation
 4.3 Counting Methods
 Sets
 Venn Diagrams (skip frequency tables)
 Counting Basics
 Permutations
 Combinations
 Vince explains how to tell the difference between permutations and combinations
 4.4 Probability
 4.5 Distributions of Data, Random Variables, and Probability Distributions
Good luck, and happy GRE studying! If you enjoyed this resource, check out Vince's other free GRE resources.
And please rate me on Google  it helps other people like you find this free guide.
Reminder that we help people prepare for the GRE who are applying to graduate school, business school, and law school. We also specialize in GRE prep for LD / ADHD students as well as older and nontraditional students.