## GRE Quantitative Reasoning Measure

The **GRE Quantitative Reasoning measure** is NOT a test of advanced math. In fact, remembering all the geometry proofs, calculus, and trigonometry that you learned back in high school won’t help you at all on the GRE Math section. The difficulty of GRE Quantitative Reasoning comes from the need to logically reason your way through each problem. Once you figure out what the question is asking (often easier said than done), the math involved in solving the problem is actually fairly basic.

## GRE Math Prep: The Basics

Technically, GRE QR assesses your ability to deal with number properties and standard geometric figures. But what the GRE Quantitative Reasoning measure really tests is the logic you use to approach problem solving. Just as GRE Verbal tests your ability to analyze or “reason with” written English, GRE Math tests your ability to reason using numbers. The key to finding the answer to GRE Math problems lies in finding a way to unwrap the problem using logic.

And remember: The GRE doesn’t reward you for process. Unlike your math teacher who gave you partial credit for showing your work, the GRE only cares that you select the correct answer choice.

## Four Math GRE Concept Categories

Most of GRE Quant appears in word problem format. The rest appears in purely mathematical form. In both cases, the mathematical concepts and abilities tested fall into four main categories: Arithmetic, Algebra, Geometry, and Data Analysis.

For a full list of the topics that fall under these categories, be sure to check out the Introduction to the Quantitative Reasoning section article on the ETS website. Luckily, these concepts don’t get much harder than the Algebra II level math classes that most of us took in high school.

If you need a refresher course on any of these topics, check out the comprehensive list of Magoosh’s GRE Math posts, listed below. ETS also offers a Math Review PDF that promises to help you understand the concepts needed to solve problems as well as how to reason quantitatively.

## GRE Assumptions

Math on the GRE follows the basic number conventions that you learned in high school:

- The positive direction of a number line is to the right and the negative direction is to the left.
- Distances are nonnegative.
- Prime numbers are greater than 1.

The same ETS article from earlier also states additional assumptions in its instructions. Hint: It’s best to memorize these instructions before taking the GRE exam so you don’t have to spend your time reading and processing basic instructions.

## GRE Quantitative Reasoning Question Types

There are four types of questions on the GRE QR test:

### 1) Quantitative Comparison Questions

You’ll be given two values: Column A and Column B. Your goal is to determine the relationship between the two.

Example:

### 2) Multiple-choice Questions โ Select One Answer Choice

Your basic multiple-choice format with five answer choices.

Example:

### 3) Multiple-choice Questions โ Select One or More Answer Choices

Exactly how it sounds…multiple-choice on steroids.

Example:

### 4) Numeric Entry Questions

Instead of five answer choices to guide you, you’ll type your answer into a box.

Example:

You can practice all of the GRE Math question types here!

## Other Important Info

### Data Interpretation Sets

Some of the GRE Quant questions appear on their own, independent of other information. Others appear as a set of questions called a **Data Interpretation** set. Data Interpretation questions are all based on the same set of data presented in tables, graphs, or some other sort of display.

### GRE Calculator

Let’s keep this short and sweet: Can you use a calculator on the GRE? Yes, but it looks something like this:

You also get scratch paper. ๐

## GRE Math Practice & Other Resources

For more details about the GRE Quantitative Reasoning test, check out the following links from the Magoosh GRE Blog. Theyโre organized by category to make searching simple.

**Algebra**

- What Unit Conversions Should You Know For The GRE?
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- GRE Division, Mixed Numerals, and Negatives
- Inverse Proportions on the GRE: The Flip It Method
- Quantitative Comparison and Manipulation
- GRE Exponents: Practice Question Set
- GRE Math: Inequalities
- Strange Symbols in GRE Math Operations
- Systems of Equations on the GRE
- GRE Quantitative Comparison Tip #3 โ Logic over Algebra
- GRE Math Strategies – When to Plug-In
- Part II: Does Plugging in Work on GRE Quantitative Comparison?
- Part I : The Power of Plugging In โ GRE Math Techniques

**Combinations and Permutations**

- GRE Math: What’s the Difference Between Combination and Permutation?
- Does Order Matter? Combinations vs. the Fundamental Counting Principle on the GRE
- GRE Math Multi-subject Challenge Question
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- The Difficulty of Context: Combinations and Permutations Questions
- Three GRE Challenge Combinations and Permutations Problems
- Combinations and Permutations Practice Questions and Video Explanations
- GRE Combinations and…Non-combinations
- Prime Numbers and Probability – GRE Math Problem
- Think You Can Handle GRE Combinations and Permutations?
- Do Permutations Make Your Head Spin?

**Data Interpretation**

- GRE Data Interpretation Practice Questions
- How Many Data Interpretation Questions on the GRE?
- GRE Math: Histograms
- Boxplots on the GRE
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- Best Fit Lines in GRE Data Interpretation
- The Basics of Data Interpretation on the GRE
- GRE Data Interpretation Strategies
- Save Time on GRE Math — The Power of Approximation

**Geometry**

- Diagonals of a Polygon in GRE Geometry
- GRE Geometry Formulas
- GRE Quantitative Comparison Geometry Practice Problems
- GRE Math: A Rectangle & Parallelogram with Equal Area
- Two Definitions of Exterior Angle in GRE Geometry
- Special Quadrilaterals on the GRE
- How Many Geometry Questions are on the GRE?
- GRE Geometry Diagram Assumptions
- GRE Math Multi-subject Challenge Question
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- GRE Coordinate Geometry Shortcut: No Graphs!
- Will there be Parabolas on the GRE?
- GRE Math Formulas: How to (Not) Use Them

**Integer Properties**

- Positive and Negative Square Roots on the GRE
- How to Round to the Nearest Integer | GRE Math
- GRE Math – Exponent Challenge
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- GRE Division, Mixed Numerals, and Negatives
- GRE Quant: The Difference of Squares
- GRE Exponents: Practice Question Set
- GRE Math: Absolute Values
- GRE Math Basics: Quick Tips
- GRE Math Video Lessons: Exponents
- Math Basics: Exponents
- GRE Math – Essential Tips For Factoring
- GRE Math Tips โ Getting Rid of Your xโs and yโs
- GRE Math Basics โ Exponents
- GRE Math: Divisibility Rules
- Integers and Mental Math
- Prime Numbers and Probability – GRE Math Problem
- It’s Not An Excited Number; It’s a Factorial!
- Think You Know Your Prime Factors?
- Advanced Exponents–Problem Solving

- Positive and Negative Square Roots on the GRE
- How to Round to the Nearest Integer | GRE Math
- Mean, Median and Mode on the GRE
- Two Definitions of Exterior Angle in GRE Geometry
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- GRE Division, Mixed Numerals, and Negatives
- GRE Quant: The Difference of Squares
- Proportions on the GRE
- GRE Math: Ratios
- GRE Math: Absolute Values
- GRE Math Basics: Quick Tips
- GRE Math Video Lessons: Series and Counting Basics
- [Video] GRE Math Tip: Converting Fractions to/from Percents
- Math Basics: Exponents
- GRE Math – Essential Tips For Factoring
- Math Basics โ Distance, Rate and Time
- GRE Math Basics โ Exponents
- Math Basics — Least Common Multiple

**Probability**

- FAQ: Should I Study Probability?
- How Many Probability Questions are on the GRE?
- GRE Math Multi-subject Challenge Question
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- Strategies for Difficult GRE Questions
- Rules and Counting Techniques for Probability on the GRE
- GRE Probability Questions: Using the Elimination Strategy
- GRE Probability Questions
- Prime Numbers and Probability – GRE Math Problem
- GRE Math — The Probability of a Coin Toss
- Probability Workshop — Part I

**Rate Problems**

- Distance Rate Time Formula Memorization Shortcut
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- Compound Interest vs. Simple Interest on the GRE
- Math Basics โ Distance, Rate and Time
- GRE Math Strategies – When to Plug-In
- GRE Math — Do Rates Freak You Out?

**Statistics**

- How Many Statistics Questions are on the GRE?
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- GRE Math: Percentiles and Quartiles
- Standard Deviation on the New GRE
- GRE Quartiles and the Interquartile Range
- Normal Distribution on the GRE
- GRE Math Shortcut: Statistics
- GRE Statistics
- GRE Statistics: Conceptualizing Weighted Averages
- Math Strategies: Averages Are Rarely Average in Difficulty
- GRE Math โ Mean and Median (Sorry Mode, You Werenโt Invited)
- Do You Know Enough Statistics to Get by on the GRE?

**Work Rate**

**Math Question Types**

- Positive and Negative Square Roots on the GRE
- Can You Use a Calculator on the GRE?
- GRE Math Questions & Practice
- Challenging GRE QC Problems on Number Properties
- GRE Quantitative Comparison Geometry Practice Problems
- GRE Quantitative Comparison Practice Problems
- Mean, Median and Mode on the GRE
- Does Order Matter? Combinations vs. the Fundamental Counting Principle on the GRE
- GRE Math Challenge โ Numeric Entry
- GRE Math: Solving Quantitative Comparisons
- GRE Numeric Entry Questions
- How to Approach Complicated Math Problems
- GRE Math – Help! I’m Terrible at Math!
- Quantitative Comparison Pacing Drill
- GRE Math Multi-subject Challenge Question
- GRE Math: Percentiles and Quartiles
- Quantitative Comparison: “The Relationship Cannot Be Determined from the Information Given” Answer Choice
- GRE Perfect Math Score Challenge
- GRE Data Interpretation Strategies
- GRE Quantitative Comparison: The Devil is in the Details
- Compound Interest vs. Simple Interest on the GRE
- Common GRE Math Mistakes
- GRE Exponents: Practice Question Set
- Systems of Equations on the GRE
- Three GRE Challenge Combinations and Permutations Problems
- Strategies for Difficult GRE Questions
- GRE Math Quiz: Blog Concepts Review
- GRE Quantitative Comparison Tip #5 – Estimation with a Twist
- GRE Quantitative Comparison Tip #4 โ Comparing in Parts
- GRE Quantitative Comparison Tip #3 โ Logic over Algebra
- GRE Quantitative Comparison Tip #2: Striving for Equality
- GRE Math โ Difficult Multiple-Answer Questions
- Quantitative Comparison – Common Traps
- Quantitative Comparison Traps
- GRE Math Tricks: The Dash Method
- Part II: Does Plugging in Work on GRE Quantitative Comparison?
- New GRE Question Type — The Empty Box (aka Numeric Entry)
- The Revised GRE– What’s New on the Math Front?
- Part 2 — QC with huge numbers
- Quantitative Comparison (QC)- Huge Numbers

- GRE Math Questions & Practice
- Mean, Median and Mode on the GRE
- How to Approach Complicated Math Problems
- GRE Math Multi-subject Challenge Question
- GRE Perfect Math Score Challenge
- GRE Data Interpretation Strategies
- Compound Interest vs. Simple Interest on the GRE
- GRE Exponents: Practice Question Set
- Systems of Equations on the GRE
- Three GRE Challenge Combinations and Permutations Problems
- Strategies for Difficult GRE Questions
- GRE Math Quiz: Blog Concepts Review

**Math Multiple Choice**

- Positive and Negative Square Roots on the GRE
- GRE Math Questions & Practice
- Challenging GRE QC Problems on Number Properties
- GRE Quantitative Comparison Geometry Practice Problems
- GRE Quantitative Comparison Practice Problems
- Mean, Median and Mode on the GRE
- GRE Math: Solving Quantitative Comparisons
- How to Approach Complicated Math Problems
- Quantitative Comparison Pacing Drill
- GRE Math: Percentiles and Quartiles
- Quantitative Comparison: “The Relationship Cannot Be Determined from the Information Given” Answer Choice
- GRE Perfect Math Score Challenge
- GRE Quantitative Comparison: The Devil is in the Details
- Common GRE Math Mistakes
- GRE Math Quiz: Blog Concepts Review
- GRE Quantitative Comparison Tip #5 – Estimation with a Twist
- GRE Quantitative Comparison Tip #4 โ Comparing in Parts
- GRE Quantitative Comparison Tip #3 โ Logic over Algebra
- GRE Quantitative Comparison Tip #2: Striving for Equality
- Quantitative Comparison – Common Traps
- Quantitative Comparison Traps
- Part II: Does Plugging in Work on GRE Quantitative Comparison?
- The Revised GRE– What’s New on the Math Front?
- Part 2 — QC with huge numbers
- Quantitative Comparison (QC)- Huge Numbers

**QC: Quantitative Comparison**

**Math Strategies**

- Diagonals of a Polygon in GRE Geometry
- Learning from GRE Math Practice
- GRE Math: A Rectangle & Parallelogram with Equal Area
- Two Definitions of Exterior Angle in GRE Geometry
- Special Quadrilaterals on the GRE
- Does Order Matter? Combinations vs. the Fundamental Counting Principle on the GRE
- Coming Back to Math after Years Away
- GRE Math Practice Questions
- How to Solve Complicated GRE Math Problems
- GRE Math Questions
- How to Approach Complicated Math Problems
- GRE Math – Help! I’m Terrible at Math!
- How to Do GRE Math Faster
- Quantitative Comparison Pacing Drill
- Breakdown of the Most Commonly Tested GRE Quant Concepts
- Identify Your Weak Points in GRE Math
- Inverse Proportions on the GRE: The Flip It Method
- Mental Math on the GRE
- Quantitative Comparison and Manipulation
- Pacing on the GRE Math Sections
- Quantitative Comparison: “The Relationship Cannot Be Determined from the Information Given” Answer Choice
- GRE Time Saving Techniques
- How to Improve Your GRE Math Score
- Common GRE Math Mistakes
- GRE Math Shortcut: Statistics
- Calculator Strategies for the Revised GRE
- GRE Math Quiz: Blog Concepts Review
- GRE Quantitative Comparison Tip #5 – Estimation with a Twist
- GRE Quantitative Comparison Tip #4 โ Comparing in Parts
- GRE Quantitative Comparison Tip #2: Striving for Equality
- GRE Math Formulas: How to (Not) Use Them
- [Video] GRE Math Tip: Converting Fractions to/from Percents
- GRE Math Tips: The Reasonable Test-Maker
- GRE Math Review Quiz: Plugging In
- New GRE Math Strategies
- GRE Math Techniques – The Power of Estimation
- [Video] Convert Fractions to Percents Without Long Division
- Quantitative Comparison Traps
- GRE Math Strategies – When to Plug-In
- Part II: Does Plugging in Work on GRE Quantitative Comparison?
- Part I : The Power of Plugging In โ GRE Math Techniques
- New GRE Question Type — The Empty Box (aka Numeric Entry)
- What a Naughty Boy Can Teach Us About Adding
- GRE Math Strategies Part VI of VI: Elimination
- GRE Math Strategies Part V of VI: Estimation
- GRE Math Strategies Part IV of VI: Logical Deduction
- GRE Math Strategies Part III of VI: Illustration
- GRE Math Strategies Part II of VI: Plug In (Substitution) Method
- GRE Math Strategies Part I of VI: The Textbook Approach

- Quantitative Comparison and Manipulation
- GRE Quantitative Comparison Tip #2: Striving for Equality
- GRE Math Review Quiz: Plugging In
- GRE Math Strategies – When to Plug-In
- Part II: Does Plugging in Work on GRE Quantitative Comparison?
- Part I : The Power of Plugging In โ GRE Math Techniques
- New GRE Question Type — The Empty Box (aka Numeric Entry)
- GRE Math Strategies Part II of VI: Plug In (Substitution) Method

**Plugging In**

*Editorโs Note: This post was originally published in May, 2011 and has been updated for freshness, accuracy, and comprehensiveness.*

Hi

I have gone through all the 6 books of Manhattan GRE for Quant. there are certain questions in my mind:

1. can i totally rely on these six books for quant concepts or is there any topic of GRE quant which has not been covered in this book.

2. secondly is the information provided in these books sufficient to get a good GRE score..for e.g. in statistics they have covered mainly average n median . will this be enough to crack the statistics question in actual GRE.

3. can you please tell me some book other than Manhattan GRE to practice the quant section.

basically i have been good in mathematics right from my school days so i dont want to take a chance in quant.

Thanks

Navdeep

Hi Navdeep,

1. Make sure you take the tests as well. There are some oddball concepts, such as parabolas, that are not covered in the book.

2. The info. is def. sufficient to get a good score. The math on the GRE isn’t advanced. The questions are just tricky :).

3. Magoosh (that’s us!) also have very tough quant questions, and unlike many books out there, we cover virtually everything you could expect to see test day.

Hope that helps!

There is a question on optimizing the inequalities in Manhattan GRE which goes like this:

if -4<= m<= 7 and -3<n<10, what is the maximum possible integer value of m-n?

the solution is like this, they have drawn a table in which LT=less than and GT=Greater than , min and max represent the minimum and maximum value of variable and the table goes like this:

m n m-n

Min -4 Min GT(-3) -4-GT(-3)= LT(-1)

Min -4 Max LT10 -4-LT10=GT(-14)

Max 7 Min GT(-3) 7-GT(-3)=LT10

Max 7 Max LT10 7-LT10=GT(-3)

the answer is third row….now i want to know is that how are they converting GT to LT and LT to GT during subtraction (row 1, 2, 3,4) . or is there any better way of solving questions on optimization of inequalities….

the table is not clear so let me re draw it for u

m n m-n

Min -4 Min GT(-3) -4-GT(-3)= LT(-1)

Min -4 Max LT10 -4-LT10=GT(-14)

Max 7 Min GT(-3) 7-GT(-3)=LT10

Max 7 Max LT10 7-LT10=GT(-3)

the spacing in the table changes every time i submit it let me tell u if it is clear to u or not…other wise its on page 92 of book 1 on algebra….

Please need help with this question.

The quantities S and T are positive and are related by the equation S = k/T, where k is a constant. If the value of S increases by 50 percent, then the value of T decreases by what percent?

Other choices: 25%, 50%, 66 2/3%, 75%

Answer is 33 1/3% but I can’t seem to get it. I appreciate any help. Thanks.

John

Nevermind just figured it out. I substitued values then used the formula difference in change divided by original value for T.

S=10 then k=20 and T is 2. So 50% more is S=15, k is still 20, then T is 1.333.

2 – 1.333 = .666/2 = .333 X 100 = 33 1/3%

Great! That is the answer :).

Hi

i want to buy Manhattan Prep GRE Set..there is third edition of these books available on amazon from 3rd july 2012. so should i buy the new (third) edition or the second Edition

Thanks

Navdeep,

Besides the covers nothing has really changed. I’ll be coming out with a full-length book review soon. That said, go ahead and buy the 2nd Edition :).

Chris

Thanks a lot for the help …..:)

You are welcome!

Hey Chris,

I was going through the Magoosh GRE ebook and came across the example of solving for the third side of a triangle.

I see that the pdf suggests if x>0 and 2 sides of a certain triangle have lengths 2x+1 and 3x+4 ,then which of the following could be the third side of the triangle?

The answer marked in the PDF is 4x+5,6x+1 and 2x+17.

However according to me the answer is only 4x+5.

6x+1 cannot be valid since if x=5,6x+1=31 while 5x+5(sum of two other sides)=30. The third side should have a length lesser than the sum of the other two.

2x+17 cannot be valid because at x=1,2x+17=19 while 5x+5(sum of two other sides)=10.

The third side should have a length lesser than the sum of the other two.

Correct me if I’m wrong.

Hi,

I had given my GRE last year and am planning to give it again next month, my score was 304(151 V+ 153 Q), do you think this product would help be increase my score substantially. If yes please suggest a suitable plan for me.

Hi Deepankar,

Magoosh’s GRE product can definitely help you boost your score substantially. Even if you prepped a lot before, I’m confident Magoosh can increase your score a lot. For a suitable study plan, here are a few, one of which should work best for you:

https://magoosh.com/gre/gre-study-guides-and-plans/

Hope that helps :).

Hi,

I was doing a practice question from Princeton Review and did not understand their explanation to the solution for the following problem.

An elected official wants to take five members of his staff to an undisclosed secure location. What is the minimum number of staff members the elected official must have in order to have at least 20 different groups from which to choose?

The answer choices are: 7, 8, 9, and 10.

The correct answer is 7.

If you could explain to me how to solve this problem, it would be greatly appreciated!

Thanks,

Ainee

Sure, no problem :).

This question is a combinations question – we are choosing from a group. We don’t know the total number of people in this group, but we do know the number being chosen to head to the (very suspect sounding) undisclosed location: 5.

Using the combinations formula: x!/ 5!(x-5)! > (or equal to) 20

Next, we work with the answer choices. If you’ve played around with combinations before, you’ll see that 10 is going to give you a pretty large number. Anyhow, when working with combinations we should start with the lowest number because it’s easiest to do the math: 7!/5!2! = 21.

All the other numbers, when plugged in, will give you a larger number. So 7 (which gives you 21) is the least number satisfying the question.

Hope that helps :).

Thanks! That explanation was a lot better than what Princeton had!

You’re welcome!

Hi Chris,

Could you please tell me, how to contact the teachers on Magoosh GRE? I had some doubt on Quantitative section, but i cant find any way to contact them to ask questions.

Regards

karthika

Hi, Karthika

You can send us any questions through the Help tab– the small black rectangle on the left of your screen whenever you’re logged into Magoosh (the dashboard, practice questions, lesson videos, etc.). Let us know if that’s not working for you for any reason and we’ll e-mail you directly.

Best,

Margarette

Hi!

what’s the cost of GRE math in Indian currency? Do you provide the study material in New Delhi? How will I get it by post or in soft copy …?

Regards

Priyanka

Hi, Priyanka

Our GRE Math program is offered as an online study tool, so you can access it from any computer with an internet connection. Currently, we’re having a sale and the price is $54 (US dollars), and you can purchase through this page by entering your credit card information: http://gre.magoosh.com/plans. I hope that helps, feel free to let us know if you have any additional questions!

Best,

Margarette

Does new revised GRE contain a calculus portion?

Hi, Ajay

Nope, no need to worry– the GRE does not test any calculus material.

Best,

Margarette

May I ask a question about GRE math here? I am from the Himalayan country Nepal.

Hi, Ajit

Of course, feel free to ask about anything!

Best,

Margarette

No i dont have a tutor and good tutors really change things.

Looking forward to Magoosh product, given that i do go above 750.

Hi

I have always been extremely bad in maths, I took GRE on July 5 and could only score 540 in maths.

Even if i get 620 or above in maths it would be a big success for me but wont help me in admission as the institute i want to go to require AT LEAST 750, higher than that would be preferred.

How do i practice to be excellent from a failure in maths and not just good.

Also what is the sign after practicing that i am actually ready for test and would be able to take 750 at least?

Badly need guidance and advice

Thanks

Ayesha,

Do you have a tutor? An excellent math tutor can make a difference. I’ve helped students go from 500 to 700 on Quant. It is possible.

And don’t forget there is also the Magoosh product. We offer just math questions and videos – hundreds of hours worth – for an excellent price.