Kaplan GRE EXAM Math Workbook.pdf

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GRE
®
EXAM
Math Workbook
Seventh Edition
2
Table of Contents
Updates to the GRE
How to Use This Book
PART ONE: GETTING STARTED
Chapter 1 Introduction to GRE Math
PART TWO: MATH CONTENT REVIEW
Chapter 2 Arithmetic
Chapter 3 Algebra
Chapter 4 Geometry
PART THREE: QUESTION TYPE REVIEW
Chapter 5 Quantitative Comparisons
Chapter 6 Word Problems
Chapter 7 Data Interpretations
A Note for International Students
Other Kaplan Titles on Graduate School Admissions
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Updates to the GRE
Instead of one major overhaul as originally planned, ETS will introduce revisions
to the GRE gradually, beginning with two new question types-one math, one verbal-that
were introduced into the computer-based GRE in November 2007. On Test Day, you may
see just one sample of the new math question type, just one sample of the new verbal
question type, OR you won’t see either question at all.
For the time being, these new
question types do not count toward your score.
As of this printing, ETS has not
announced a timeline for when these new types will count toward your score.
NEW QUANTITATIVE QUESTION TYPE-NUMERIC ENTRY
Essentially, the Numeric Entry question type does not provide any answer choices
at all. None. Zip. Zero! You have to do the math, work out your answer and type it in the
box provided. The most important thing to keep in mind here is to read through the
question very carefully; make sure you know exactly what’s being asked of you. Then
check your work just as carefully. Here’s a sample Numeric Entry question and answer
explanation.
The health club charges $35 per month plus $2.50 for each aerobic class
attended. How many aerobic classes were attended for the month if the total
monthly charge was $52.50?
Click on the answer box, and then type in a number.
Use backspace to erase.
Answer: 7
Translate the situation into an algebraic equation, and then solve for the unknown
variable. We are asked to find the number of classes attended; assign the variable x to
represent the number of aerobics classes attended. The monthly fee is $35, plus $2.50 for
every class attended, or 2.5 times x (the number of classes).
So the equation is 35 + 2.5x = 52.50, where x equals the number of aerobic
classes attended. Subtract 35 from both sides of the equation: 2.5x= 17.5. Divide both
sides by 2.5, and x = 7
STAY ON TOP OF THE LATEST DEVELOPMENTS
As ETS makes further announcements, you can depend on Kaplan to provide you
with the most accurate, up-to-the-minute information. You can get updates by visiting us
at Kaptest.com/NEWGRE.
Good Luck!
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How To Use This Book
Kaplan has prepared students to take standardized tests for more than 50 years.
Our team of researchers know more about preparation for the GRE than anyone else, and
you’ll find their accumulated knowledge and experience throughout this book. The GRE
is a standardized test, and so, every test covers the same content in roughly the same way.
This is good news for you; it means that the best way to prepare is to focus on the sort of
questions you are likely to see on Test Day. The main focus of this book is on strategic
reviews, exercises, and practice tests with explanations that will help you brush up on any
math skills you may have forgotten. If possible, work through this book a little at a time
over the course of several weeks. There is a lot of math to absorb, and it’s hard to do it all
at once.
STEP 1: THE BASICS
In Part One of this book, “Getting Started,” we’ll provide you with background
information on the quantitative section of the test, what it covers, and how it’s organized.
STEP 2: MATH CONTENT REVIEW
Once you have the big picture, focus on the content. Part Two of this book, “Math
Content Review,” gives you a complete tour of the math that you will see on Test Day.
The material in the math content review is divided into particular subjects. Each subject
begins with a review, followed by practice questions organized by level of difficulty.
This structure makes it easy for you to pinpoint the math concepts you need to review and
quickly get your skills up to speed.
We suggest that you quickly skim the content review that introduces a section and
then try the exercise. If you find difficult, go back to the content review before moving
on. If you do well on the exercise, try the basic problem set that follows it. Once you feel
that you have a good grasp on the basics of this subject, try the intermediate and
advanced problem sets. Answers and explanations for the practice problems appear at the
end of the chapter. Read the explanations to all the questions-even those you got right.
Often the explanations will contain strategies that show you how you could have gotten
to the answer more quickly and efficiently.
STEP 3: BECOME FAMILIAR WITH GRE QUESTION TYPES
The GRE contains three main question types: Quantitative Comparisons, Word
Problems, and Data Interpretation. Part Three of this book covers these types with
strategies and sample questions. Your focus here should be to familiarize yourself with
the question types so you won’t be trying to figure out how to approach them on Test
Day.
Now you’re ready to begin preparing for the math section of the GRE. Good luck!
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