Orientation, Baseline Scores, and GRE Math

You’re now ready to begin your GRE preparation.  In Part I of the Learning Guide, you will:

  • Familiarize yourself with the GRE
  • Establish your baseline scores
  • Learn general GRE strategies
  • Learn all of the math content that the GRE tests
  • Begin developing the proper mindset to take the GRE with confidence

Please note that, in order to follow this Study Guide, you need the resources outlined on the Overview and Resources page.

Okay, let’s begin Part I.

Getting to Know the GRE

Go to The GRE webpage and review the information there

For more general information about the GRE, visit the official GRE website

Create an account on the ets.org/gre website to later register for the test, view your scores, and so on

Establishing your Baseline Scores

Before you can establish your baseline GRE scores, you'll need to first familiarize yourself with Quantitative Comparison questions, which are unique to the GRE.  

Go to the our Quantitative Comparison module and watch video #1, Intro to GRE Quantitative Comparison

For additional information about Quantitative Comparison questions, visit ets.org/gre

Download the free, official POWERPREP II software. This software contains two practice tests that will help you assess your abilities and gauge your progress.   

Take POWERPREP test #1 

Note: The Study Guide directs you to take each POWERPREP practice test at least twice.  On subsequent attempts, you will see some duplicate questions.

General GRE Information and Strategies Module

In this module, you will learn about different GRE question formats, and you will learn some useful strategies that can be applied to a wide variety of GRE questions.

Watch all of the videos in the General GRE Info and Strategies module.

Quantitative Comparison Module

In this module, you will learn systematic techniques for solving GRE Quantitative Comparison questions. 

Watch all of the videos in the Quantitative Comparison module

Note: Don’t worry if you are unfamiliar with some of the math content in the Quantitative Comparison videos.  The primary purpose of these videos is to provide a solid understanding of this question type before you begin working on the math content.  Later in the Study Guide, you will be directed to revisit most of these videos.

Arithmetic Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Basic operations
  • Order of operations
  • Signed numbers
  • Decimals
  • Absolute value
  • Fractions
  • Percent
  • Ratios

The Basics – Integers and Decimals

Go to the Arithmetic module and watch videos #1 to #8

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 118(2), 124(1), 147(8), 148(10), 154(14)  

Note: The practice questions are listed in the form page#(question#). For example, 118(2) refers to question #2 on page 118. 

Fractions and Percent

Go to our Arithmetic Module and watch videos #9 to #29

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 111(3), 126(4), 145(1), 146(3), 149(14)

Practice your guessing skills.  If you can’t answer a question, see if you can eliminate some answer choices and then choose the best answer.

Ratios

Go to the Arithmetic module and watch videos #30 to #35

Answer the following question in the Official Guide to the GRE (2nd edition):

  • 148(11)

Reinforcement Questions

Go to the Arithmetic module and answer video questions #36 to #42

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the Arithmetic module.

Developing the Proper Mindset

To get high GRE scores, it's vital to not only develop GRE-specific content knowledge, but also develop the proper mindset as you prepare for this test.

Powers and Roots Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Exponent laws
  • Exponential growth
  • Negative exponents
  • Fractional exponents
  • Units digits of large powers
  • Equations with exponents
  • Square roots and other roots
  • “Fixing” the denominator

Powers (Exponents)

Go to the Powers and Roots module and watch videos #1 to #15

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 121(1), 123(4), 151(6), 156(3), 156(6)

Note: The practice questions listed above are in the form page#(question#). For example, 121(1) refers to question #1 on page 121. 

Roots

Go to the Powers and Roots module and watch videos #16 to #30

Note: If you're unfamiliar with the FOIL method mentioned in video lesson #29, you may want to go to the Algebra and Equation Solving Module and watch video #7, The FOIL Method.

Reinforcement Questions

Go to the Powers and Roots module and answer video questions #31 to #43

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the Powers and Roots module.

Algebra and Equation Solving Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Simplifying expressions
  • Expanding expressions
  • GCF factoring
  • Differences of squares
  • Quadratic factoring
  • Basic equations
  • Equations with fractions
  • Quadratic equations
  • Systems of equations
  • Number of solutions
  • Equations with square roots
  • Equations with exponents
  • Equations with absolute value
  • Strange operators
  • 3 types of inequalities
  • The coordinate plane
  • Equations of lines
  • Graphs of quadratics

Simplifying, Expanding and Factoring

Go to the Algebra and Equation Solving module and watch videos #1 to #18

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 113(6), 114(7), 115(8), 243(2), 244(5)

Note: The practice questions listed above are in the form page#(question#). For example, 113(6) refers to question #6 on page 113. 

Equations - Basic, Quadratic, Systems, Roots & Absolute Value

Go to the Algebra and Equation Solving module and watch videos #19 to #32

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 112(5), 115(9), 117(1), 146(4), 148(9), 244(6-7)

Functions, Formulas, Inequalities and Strange Operations

Go to the Algebra and Equation Solving module and watch videos #33 to #46

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 151(4), 157(8), 243(3-4), 244(8)  

Coordinate Geometry (lines, parabolas and more)

Go to the Algebra and Equation Solving module and watch videos #47 to #58

Answer the following questions in the Official Guide to the GRE (2nd edition)

  • 118(3), 147(6), 152(7), 153(12), 158(10), 245(17-20), 246(21) 

Reinforcement Questions 

Go to the Algebra and Equation Solving Module and answer video questions #59 to #78

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the Algebra and Equation Solving module.

Developing the Proper Mindset

So, how are you feeling about the GRE these days? If think you’re losing momentum, the following article may help. 

Word Problems Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Assigning variables
  • Writing equations
  • Testing the answer choices
  • Age questions
  • Motion questions
    (distance-rate-time)
  • Work questions
  • Double-Matrix method
  • 3-part Venn diagrams
  • General sequences
  • Recursive sequences
  • Sums of sequences
  • Growth tables
  • Mixture/solution questions
  • Variables in the answer choices (2 techniques)

Basic Word Problems - Ages, Systems, Ratios, etc.

Go to the Word Problems module and watch videos #1 to #12

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 110(2), 146(5), 151(5), 243(1), 244(9-13), 245(15-16)   

Distance-Rate-Time, Work and Other Rates

Go to the Word Problems module and watch videos #13 to #22

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 119(4), 150(1), 244(14)

Overlapping Sets, Sequences, Mixtures, and Growth Tables

Go to the Word Problems module and watch videos #23 to #36

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 152(9), 158(12)

Variables in the Answer Choices

Go to the Word Problems module and watch videos #37 to #40

Answer the following question in the Official Guide to the GRE (2nd edition):

  • 152(8)

Reinforcement Questions

Go to the Word Problems module and answer video questions #41 to #54

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the  Word Problems module.

Geometry Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Lines and angles
  • Isosceles and equilateral triangles
  • Right triangles
  • Special triangles
    (30-60-90 & 45-45-90)
  • Similar triangles
  • Quadrilaterals
  • Circles: area & circumference
  • Circles: sectors & arcs
  • Circles: inscribed angles
  • Circles: inscribed angles
  • Circles: tangent lines
  • 3-dimensional objects

Lines and Triangles

Go to the Geometry module and watch videos #1 to #16

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 111(4), 147(7), 154(13), 259(1-3), 260(6-9)

Note: The above practice questions are listed in the form page#(question#). So, for example, 111(4) represents question #4 on page 111. 

Practice your guessing skills. If you can’t answer a question, see if you can eliminate some answer choices and then choose the best answer.   

Quadrilateral, Polygons, Circles and Volume

Go to the Geometry module and watch videos #17 to #29

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 125(2), 146(2), 149(12), 151(3), 153(11), 155(1), 156(4), 158(11), 260(4-5), 260(10), 261(11-13), 262(14)

Reinforcement Questions

Go to the Geometry module and answer video questions #30 to #48

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the  Geometry module.

Integer Properties Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Divisors and divisibility
  • Prime
  • Squares of integers
  • Rules of divisors
  • Odd/even numbers
  • Greatest common divisor (GCD)
  • Least common multiple (LCM)
  • The GCD-LCM formula
  • Consecutive integers
  • Remainders

Divisibility and Factors

Go to the Integer Properties module and watch videos #1 to #12

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 110(1), 121(2), 159(14) 

Note: The above practice questions are listed in the form page#(question#).  So, for example, 110(1) represents question #1 on page 110. 

GCD, LCM, Evens/Odds, Consecutive Integers, and Remainders

Go to the Integer Properties module and watch videos #13 to #25

Reinforcement Questions

Go to the Integer Properties module and answer video questions #26 to #34

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the  Integer Properties module.

Statistics Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Mean
  • Median
  • Mode
  • Range
  • Weighted averages
  • Standard deviation

 

Go to the Statistics module and watch all of the videos

Answer the following questions in the Official Guide to the GRE (1st or 2nd edition)

  • 122(3), 125(3), 149(13), 150(2), 155(2), 156(5), 157(9), 159(13), 160(15), 296(1-4), 297(5), 298(16)

Note: The practice questions are listed in the form page# (question#). For example, 122(3) refers to question #3 on page 122.   

Reinforcement Questions

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the  Statistics module.

Counting Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • The Fundamental Counting Principle
  • Factorial notation
  • Handling restrictions
  • “At least” & “at most” questions
  • The MISSISSIPPI rule
  • Combination questions
  • Permutation-type questions

 

Go to the Counting module and watch all of the videos

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 157(7), 297(6-10)   

Reinforcement Questions

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the Counting module.

Probability Module

In this module, you will learn the core content and GRE-specific strategies related to:

  • Finding probabilities by counting
  • Complements
  • “At least” & “at most” questions
  • “Or” probabilities
  • “And” probabilities
  • Mutually exclusive events
  • Independent events

 

Go to the Probability module and watch all of the videos

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 120(5), 152(10), 297(11-13), 298(14-15)

Note: The above practice questions are listed in the form page#(question#). So, for example, 120(5) represents question #5 on page 120. 

Reinforcement Questions

Answer any remaining practice questions from the Related Resources boxes found beneath most video lessons in the Probability module.

Data Interpretation Module

In this module, you will learn the core content and GRE-specific strategies required to effectively answer Data Interpretation questions.

 

Go to the Data Interpretation module and watch all of the videos

Answer the following questions in the Official Guide to the GRE (2nd edition):

  • 127(1), 128(2-3), 149(14), 161(1-2), 162(3-4), 163(5-7), 299(17-18), 300(19)

Note: The above practice questions are listed in the form page#(question#).  So, for example, 127(1) represents question #1 on page 127.

Reinforcement Questions

Answer the questions labeled "Additional Practice" at the bottom of the Data Interpretation module page

Congratulations, you’re ready for Part II of the Study Guide!