Kaplan Publishing - GRE Math Workbook

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ISBN: 978-1-5062-3528-8
10987654321

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Special thanks to the team that made this book possible:

Arthur Ahn, Matthew Belinkie, Shannon Berning, Lauren T. Bernstein, Kim Bowers, Gerard Cortinez, Elisa Davis, Lola Disparte, Boris Dvorkin, John Evans, Paula Fleming, Darcy Galane, Joanna Graham, Adam Grey, Allison Harm, Jack Hayes, Adam Hinz, Gar Hong, Sunny Hwang, Cinzia Iacono, Avi Lidgi, Kate Lopaze, Keith Lubeley, TJ Mancini, Jennifer Moore, Jason Moss, Walt Niedner, Robert Reiss, S. Ross, Derek Rusnak, Emily Sachar, Stephanie Schrauth, Sheryl Stebbins, Glen Stohr, Sascha Strelka, Gene Suhir, Martha Torres, Liza Weale, Lee A. Weiss, and many others who have contributed materials and advice over the years.

Kaplan has prepared students to take standardized tests for more than 75 years. Our team of teachers and researchers knows more about preparation for the GRE than anyone else, and youll find Kaplans accumulated knowledge and experience throughout this book. The GRE is a standardized test, 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 sets with explanations that will help you brush up on any math skills you may have forgotten. There is a lot of math to absorb, and its hard to do it all at once. Instead, plan out a study schedule and work through this book over the course of several weeks.

In Part 1 of this book, Getting Started, well provide you with background information on the Quantitative Reasoning section of the test, what it covers, and how its organized.

The Quantitative Reasoning section of the GRE contains three main question types: Quantitative Comparison, Problem Solving, and Data Interpretation. Part 2 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 wont be trying to figure out how to approach them on Test Day. And practice, practice, practice!

Once you have the big picture, focus on the content. Part 3 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 exercises 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 read the content review that introduces a section and then try some of the exercises. After checking your answers to those exercises, decide whether you need to spend more time with the content review before completing the sets of exercises. Keep track of your progress as you proceed with the content review. Not only will this build your skills, it will increase your confidence leading up to Test Day.

If you find that you would like access to more of Kaplans practice tests and quizzes, as well as in-depth instruction on the question types and strategies, look into the variety of course options available at kaptest.com/GRE.

If you have questions about what youre studying, ask our expert GRE faculty on our Facebook page: www.facebook.com/KaplanGradPrep.

Thanks for choosing Kaplan. We wish you the best of luck on your journey to graduate school.

For more GRE prep, Kaplan offers a range of print and digital products, available in stores and online, including:

• Kaplan GRE Prep Plus with 3 Practice Tests and 500-Question Qbank
• Kaplan GRE Prep with 2 Practice Tests
• GRE Verbal Workbook
• Kaplan GRE Vocabulary Flashcards

To learn more about Kaplans comprehensive prep courses for the GRE, please visit kaptest.com/GRE.

Part One

Chapter 1

The Quantitative Reasoning sections of the GRE test your ability to reason quantitativelyto read a math problem, understand what it is asking, and solve it. The basic math disciplines covered on the GRE are arithmetic, algebra, geometry, and data interpretation. In this way, the GRE has topics similar to those covered on the SAT. There is no trigonometry or calculus on the GRE. The aim of the test is to provide an accurate indication of your ability to use your knowledge of the fundamental topics and apply reasoning skills to the various question types. The goal is to make the test a true indicator of your ability to apply given information, think logically, and draw conclusions. These are skills you will need at the graduate level of study.

The GRE contains two math sections, each having 20 questions. The allotted time for each section is 35 minutes. To perform well on the Quantitative Reasoning sections, you want to perform the fundamental math skills efficiently and apply your reasoning skills at the same time to answer as many questions correctly as possible. The various question types will be explained in detail in part 2 of this book. The foundations of arithmetic, algebra, geometry, and data interpretation will be reviewed in part 3 of this book. In every chapter, there will be plenty of opportunities to practice and check your answers.

The GRE is a multi-stage test (MST). While working within a section of the test during the time allotted, you are allowed to skip questions and return to them as long as time remains for the section. The test is computer-based with built-in capabilities such as the Mark button to indicate a question you want to examine later (within the time allowed for that section) and the Review button to see your progress on the entire set of questions in a section, an optional time display, and an on-screen calculator. As you prepare for Test Day, always consider how you plan to manage your time for each section and how these computer capabilities can help you.

On the GRE, every question has the same value. So you do not want to waste time dwelling on one question while you may be able to answer several others correctly. This is one way the Mark and Review buttons can assist you in managing your time. You can turn the time display