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Welcome toOfficiOfficialcial GRE QuantiQuantitativet tat tit vev ReasoningReasonini gPractice Questions, Volume 1The book you are holding offers 150 real GRE practice questions directly from the maker ofthe GRE revised General Test. This book is specially created to give you in-depth practiceand accurate test preparation for the Quantitative Reasoning measure.Here’s what you will find inside: Authentic GRE Quantitative Reasoning test questions arranged by content andquestion type—to help you build your test-taking skills. Plus, mixed practice sets. Answers and explanations for every question! ETS’s own test-taking strategies. Learn valuable hints and tips that can help youget your best score. GRE Math Review covering math topics you need to know for the test. Official information on the GRE Quantitative Reasoning measure. Get the factsabout the test content, structure, scoring, and more—straight from ETS.About ETSAt ETS, we advance quality and equity in education for people worldwide by creatingassessments based on rigorous research. ETS serves individuals, educational institutions,and government agencies by providing customized solutions for teacher certification,English language learning, and elementary, secondary, and post-secondary education,as well as conducting educational research, analysis, and policy studies. Founded as anonprofit in 1947, ETS develops, administers, and scores more than 50 million testsannually—including the TOEFL and TOEIC tests, the GRE tests, and The PraxisSeriesTM assessments—in more than 180 countries at over 9,000 locations worldwide.For more information, visit www.ets.org.
IMPORTANTETS makes available free test preparation materials for individuals planning to take a GRE test.POWERPREP II software is available for individuals planning to take the computer-deliveredGRE revised General Test, and the Practice Book for the Paper-based GRE revised General Test,Second edition, is available for individuals planning to take the paper-delivered test. Theinformation about how to prepare for the Quantitative Reasoning measure of the GRE revisedGeneral Test, including test-taking strategies, question strategies, etc., that is included in thefree test preparation is also included in this publication. This publication also provides youwith 150 brand new practice questions with answers and explanations.For more information about the GRE revised General Test, free and low-costGRE test preparation materials, and other GRE products and services,please visit the GRE website at:www.ets.org/greInquiries concerning the practice test questions in this bookshould be sent to the GRE testing program at:GRETestQuestionInquiries@ets.org
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Copyright 2014 by Educational Testing Service. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publicationmay be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher, with theexception that the program listings may be entered, stored, and executed in a computer system, but they may not be reproduced for publication.ISBN: 978-0-07-183431-5MHID: 0-07-183431-1The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-183432-2,MHID: 0-07-183432-X.eBook conversion by codeMantraVersion 1.0All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in aneditorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, theyhave been printed with initial caps.McGraw-Hill Education eBooks are available at special quantity discounts to use as premiums and sales promotions or for use in corporate trainingprograms. To contact a representative, please visit the Contact Us page at www.mhprofessional.com.ETS, the ETS logo, LISTENING, LEARNING, LEADING, E-RATER, GRADUATE RECORD EXAMINATIONS, GRE, POWERPREP, SCORESELECT, TOEFL, andTOEIC are registered trademarks of Educational Testing Service in the United States and other countries and are used under license. THE PRAXIS SERIES is a trademarkof Educational Testing Service and is used under license.TERMS OF USEThis is a copyrighted work and McGraw-Hill Education and its licensors reserve all rights in and to the work. Use of this work is subject to these terms. Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify,create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill Education’s prior consent.You may use the work for your own noncommercial and personal use; any other use of the work is strictly prohibited. Your right to use the work may be terminated if youfail to comply with these terms.THE WORK IS PROVIDED “AS IS.” McGRAW-HILL EDUCATION AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THEACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATIONTHAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS ORIMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. McGraw-HillEducation and its licensors do not warrant or guarantee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted orerror free. Neither McGraw-Hill Education nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work orfor any damages resulting therefrom. McGraw-Hill Education has no responsibility for the content of any information accessed through the work. Under no circumstancesshall McGraw-Hill Education and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of orinability to use the work, even if any of them has been advised of the possibility of such damages. This limitation of liability shall apply to any claim or cause whatsoeverwhether such claim or cause arises in contract, tort or otherwise.
Contents1How to Use This Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xiOverview of the GRE Quantitative ReasoningMeasure1Introduction to the GRE revised General Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1The Quantitative Reasoning Measure of the Computer-deliveredGRE revised General Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2The Quantitative Reasoning Measure of the Paper-deliveredGRE revised General Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4Score Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52Test Content7Overview of the Quantitative Reasoning Measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7General Problem-solving Steps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Quantitative Reasoning Question Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14Using the Calculator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393Arithmetic43Quantitative Comparison Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45Multiple-choice Questions—Select One Answer Choice . . . . . . . . . . . . . . . . . . . . . . . . . 47Multiple-choice Questions—Select One or More Answer Choices . . . . . . . . . . . . . . . . . 49Numeric Entry Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
4Algebra65Quantitative Comparison Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67Multiple-choice Questions—Select One Answer Choice . . . . . . . . . . . . . . . . . . . . . . . . . 69Multiple-choice Questions—Select One or More Answer Choices . . . . . . . . . . . . . . . . . 71Numeric Entry Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745Geometry85Quantitative Comparison Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87Multiple-choice Questions—Select One Answer Choice . . . . . . . . . . . . . . . . . . . . . . . . . 89Multiple-choice Questions—Select One or More Answer Choices . . . . . . . . . . . . . . . . . 91Numeric Entry Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 946Data Analysis105Quantitative Comparison Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107Multiple-choice Questions—Select One Answer Choice . . . . . . . . . . . . . . . . . . . . . . . . 110Multiple-choice Questions—Select One or More Answer Choices . . . . . . . . . . . . . . . . 112Numeric Entry Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113Data Interpretation Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
7Mixed Practice Sets139Practice Set 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152Practice Set 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184Practice Set 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209Answers and Explanations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210Appendix A: GRE Math Review2291. Arithmetic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2302. Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2453. Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2734. Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288Appendix B: Mathematical Conventions for theQuantitative Reasoning Measure of theGRE revised General Test329
Overview of the GRE Quantitative ReasoningMeasureYour goal forthis chapter Review basic information on the structure of the GREQuantitative Reasoning measure, test-taking strategies,and scoringIntroduction to the GRE revised General TestT he GRE revised General Test—the most widely accepted graduate admissionstest worldwide—measures verbal reasoning, quantitative reasoning, criticalthinking, and analytical writing skills that are necessary for success in graduateand business school.Prospective graduate and business school applicants from all around the world takethe GRE revised General Test. Although applicants come from varying educational andcultural backgrounds, the GRE revised General Test provides a common measure forcomparing candidates’ qualifications. GRE scores are used by admissions committeesand fellowship panels to supplement undergraduate records, recommendation letters,and other qualifications for graduate-level study.The GRE revised General Test is available at test centers in more than 160 countries.In most regions of the world, the computer-delivered test is available on a conti
Official GRE Quantitative Reasoning Practice Questions, Volume 1 The book you are holding offers 150 real GRE practice questions directly from the maker of the GRE revised General Test. This book is specially created to give you in-depth practice and accurate test preparation for the Quantitative Reasoning measure.
