50 TOP STRATEGIES FOR TEST DAY WWhheenn iitt’’ss aallmmoosstt tteesstt ddaayy,, aanndd yyoouu’’vvee rread this book Guess Carefully aanndd ttaakkeenn tthhee PPrraaccttiiccee TTeessttss,, mmaakkee ssuurre you review 6. You have to select an answer before you can tthhiiss ppaaggee aanndd tthhee ppaaggeess tthhaatt ffoollllooww.. HHere you’ll move on, so making high-percentage guesses find 50 essential strategies that can definitely help is important. Eliminate answer choices that you you earn more points on the GRE. You’ll see longer know are wrong. The more you can eliminate, explanations of each strategy, along with examples, the better your chance of getting the question in the review portions of this book. The purpose of right. these pages is to provide a handy, all-in-one, last- minute reminder of these valuable concepts. Use this review to check your test readiness and make sure you’re prepared to do your best—and get COMPUTER-BASED TEST-TAKING your best score. STRATEGIES Make sure that you practice with released and simulated exams before you take the actual GRE. GENERAL TEST-TAKING STRATEGIES The Computer System Here are some useful tips to help you maximize 7. Take advantage of the computer tutorial that your GRE score on test day. is offered before you begin the actual test. At any point during the test, you may return to the tutorial by clicking your mouse on the HELP Relax box at the bottom of the screen. 1. Don’t panic if you are having a hard time 8. Be aware of scroll bars. Some images and text answering the questions! You do not have to are too big to fit on your screen and require answer all the questions correctly to get a good you to scroll down to view them. score. 2. Take a few moments to relax if you get stressed Adaptive Questions during the test. When you get back to the test, you will feel better. 9. The questions for the Verbal and Quantitative sections are adaptive. The computer picks your question based on your response to the Be Aware of Time previous question and the specific test. 3. Pace yourself. Budget enough time for each 10. Do not waste time trying to figure out whether question so that you won’t have to rush at the you answered the previous question correctly end of the section. or incorrectly. Just keep working through the 4. You cannot go back and change your answers, test. so read each question carefully to determine 11. The only way to move on to another question is exactly what is being asked. Taking the time to answer the question already on your screen. to answer one question correctly is better If you do not know how to answer, make your than rushing and answering several questions best educated guess and move on. incorrectly. 5. Stay focused. Ignore the things going on around you that you cannot control. CRITICAL READING Analogies 21. Before you look at the answer choices, try to GRE Critical Reading includes Reading figure out the relationship between the two Comprehension passages and questions, Sentence words that are given in the question. Use the Completion questions, Analogy questions, two words in a sentence; substitute the answer Antonym questions, Text Completion questions, choices into the same sentence. and Analytical Writing essay tasks. Following are specific strategies for each section. 22. There are many different possible relationships, and some are very obscure. Be as specific as you can when determining the relationship Reading Comprehension between the original pair of words. 12. Read the questions first and make a mental 23. Always consider ALL the answer choices before note when the questions refer to specific you select an answer. lines, words, or highlighted text. Do not try to memorize—just get an idea of what you should be looking for. Antonyms 13. Read each passage for topic, scope, and 24. Before you look at the answer choices, try to purpose. Then skim for structure. Try to clearly define the given word. Remember that isolate one topic word or sentence for each you are looking for the answer choice that paragraph. The details will still be there when has a meaning OPPOSITE to that of the given you need them. Don’t spend precious time word. trying to “learn” them. 25. Consider slight variations in the meaning of 14. Try to distinguish between details that are each word. factual and details that are the opinions of the author. 26. Use the Latin roots, prefixes, and suffixes to figure out what difficult words mean. Look for 15. Try to predict an answer before looking at the “cognates” from French, Spanish, or Italian if answer choices. If an answer choice matches you recognize them. your predicted answer, it is most likely correct. 27. Always consider ALL the answer choices before 16. Paraphrase when you need to. Putting the you select an answer. question and answer choices in your own words often makes them easier to understand. Text Completions Sentence Completions 28. Read through the text once to get an idea of context. 17. Use the Latin roots, prefixes, and suffixes to figure out what difficult words mean. Look for 29. Pay attention to “clue” words in the text, such “cognates” from French, Spanish, or Italian if as transition words, that will help you to identify you recognize them. the structure of the text. 18. Let the context of the sentence guide you. 30. Start with the blank that seems the most simple Try to look for “clue” words and phrases in to fill, and then work on the others. the sentence that might suggest a contrast or 31. Once you’ve made your selections, check the comparison. text for logic and grammar. 19. Try filling in the blank(s) with your own words before you look at the answer choices. If you Analytical Writing find an answer choice that is similar to yours, it is most likely correct. Issue Task 20. When you think that you have the correct 32. Choose between the two topics and discuss answer, read the entire sentence to yourself, the issue from any perspective. Remember, using your choice(s) in the blank(s). If it makes there is no correct position. Choose the sense, then mark your answer on the computer position that you can most strongly support. screen. 33. No matter which position you take, make sure 25 MATH CONCEPTS YOU you have compelling reasons and examples to support it. Make sure you consider how ABSOLUTELY NEED TO KNOW someone might challenge or question your position. 1. The area of a circle is A (cid:2) (cid:4)r2, where r is the radius of the circle. 34. Do not worry about the number of examples included in your essay or the length of your 2. The circumference of a circle is C (cid:2) 2(cid:4)r, essay; focus on the quality of your ideas. where r is the radius of the circle. The (cid:4) circumference can also be expressed as d, Argument Task because the diameter is always twice the radius. 35. Carefully read the given argument. Pay attention to the structure of the argument 3. The area of a rectangle is A (cid:2) lw, where l and the statements or claims, assumptions, is the length of the rectangle and w is the implications, and supporting evidence given or width of the rectangle. left out. 4. The area of a triangle is A (cid:2) _ 1_ bh, where 36. Remember, your task is to find flaws in the logic 2 of the argument, NOT agree with, disagree b is the base of the triangle and h is the with, prove, or disprove the argument. height of the triangle. 37. Do not worry about the number of examples 5. The volume of a rectangular prism is included in your essay or the length of your (cid:2) V lwh, where l is the length of the essay; focus on the quality of your critique. rectangular prism, w is the width of the rectangular prism, and h is height of the rectangular prism. MATHEMATICS 6. The volume of a cylinder is V (cid:2) (cid:4)r2h, where GRE Quantitative (Math) covers four basic content r is the radius of one of the bases of the areas: arithmetic, algebra, geometry, and data cylinder and h is the height of the cylinder. analysis. The question types include Discrete 7. The perimeter is the distance around any Quantitative questions, Data Interpretation object. questions, Quantitative Comparison questions, and Numeric Entry questions. Following are specific 8. The Pythagorean theorem states that strategies for each question type, as well as a quick c2 (cid:2) a2 (cid:3) b2, where c is the hypotenuse of review of general math concepts. Emphasis is the triangle and a and b are the other two placed on the more important skills, concepts, and sides of the triangle. definitions, as well as on particular concepts that are often confused or misunderstood. 9. The following are angle measures and side lengths for Special Right Triangles: General Math Strategies The following strategies can be applied to all the 45° GRE math sections. s 2 60° s 2x 38. Draw pictures on your scratch paper as x necessary to help you solve problems. 30° 45° 39. Look for a way to reason through the problem. x 3 s 40. When reading word problems, translate them 30-60-90 Triangle 45-45-90 Triangle into mathematical equations. (“Carrie has 3 more 10. In an equilateral triangle, all three sides (cid:2) (cid:3) CDs than Amy” is equivalent to C A 3) have the same length, and each of the angles equals 60˚. (continued) (continued) 41. Remember to estimate or “ball-park” answers 25 MATH CONCEPTS YOU when you can. It is often possible to eliminate all but the correct answer choice without doing ABSOLUTELY NEED TO KNOW any actual math. 11. In an isosceles triangle, two sides have the Discrete Quantitative Questions same length, and the angles opposite those 42. Make sure that you understand what sides are congruent. information is given and what question is being 12. The complete arc of a circle measures 360°. asked. Paraphrase if necessary. 43. Many questions will allow you to “reason” 13. A straight line measures 180°. your way to an answer by performing only a 14. A prime number is any number that can only few or even no calculations. Avoid lengthy and be divided by itself and 1. complicated calculations when possible. 15. Squaring a negative number yields a positive Data Interpretation Questions result. 44. Before answering each question, scan the given 16. To change any fraction to a decimal, divide data. the numerator by the denominator. 45. Many of the questions will allow you to approximate an answer by making a visual 17. If two numbers have one or more divisor in common, those are the common factors of comparison only. Avoid performing calculations the numbers. when possible. 46. Do not base your answer to any question on 18. To calculate the mean, or average, of a list of an assumption or any outside information. Use values, divide the sum of the values by the only the data given. number of values in the list. 19. The median is the middle value of a list Quantitative Comparison Questions of numbers that is in either ascending or 47. Many comparisons require estimation only. descending order. Avoid lengthy and complicated calculations when possible. 20. The mode is the value that appears the greatest number of times in a list. 48. If one column is sometimes greater or sometimes less than the other column, then the 21. A ratio expresses a mathe(cid:2) matical (cid:3)comparison relationship cannot be determined from the _1_ between two quantities. or 1:4 information. (Answer choice D means that no 4 one can determine the answer, not just that you can’t determine the answer.) 22. A prop(cid:2)o rtion is an equatio(cid:3)n involving two ratios. _1_ (cid:2) _ x_ or 1:4 (cid:2) x:8 4 8 Numeric Entry Questions 23. When multiplying exponential expressions 49. Read the questions carefully and be sure to with the same base, add the exponents. provide the type of answer indicated. 24. When dividing exponential expressions with 50. You will not have any answer choices to guide the same base, subtract the exponents. you, so check your answer and make sure it is 25. When raising one power to another power, logical based on the information provided in multiply the exponents. the question. 2010 EDITION McGraw-Hill’s GRE Graduate Record Examination General Test Steven W. Dulan and the Faculty of Advantage Education New York | Chicago | San Francisco | Lisbon | London Madrid | Mexico City | Milan | New Delhi | San Juan | Seoul Singapore | Sydney | Toronto Copyright © 2009, 2010 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this pub- lication may 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. ISBN: 978-0-07-162427-5 MHID: 0-07-162427-9 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-162426-8, MHID: 0-07-162426-0. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. 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THE WORK IS PROVIDED “AS IS.” McGRAW-HILL AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATION THAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. McGraw-Hill 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 or error free. Neither McGraw-Hill nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work or for any damages resulting therefrom. McGraw-Hill has no responsibility for the content of any information accessed through the work. Under no circumstances shall McGraw-Hill and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages. This lim- itation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise. About the Author Steven W. Dulan, J.D. has been involved with GRE preparation since 1989. A former U.S. Army Infantry Sergeant, Steve scored in the 99th percentile on every standardized test he has ever taken. After graduating from Michigan State, Steve attended The Thomas M. Cooley Law School on a full Honors Scholarship. While attending law school, Steve continued to teach standardized test prep classes (including ACT, SAT, PSAT, GRE, GMAT, and LSAT) an average of 30 hours each week, and tutored some of his fellow law students in a variety of subjects and in essay exam writing techniques. Professor Dulan has also served as an instructor at Baker University, Cleary University, Lansing Community College, The Ohio State University-Real Estate Institute, and The Thomas M. Cooley Law School. Guest lecturer credits include Michigan State University, University of Michigan, Detroit College of Law, Marquette University, Texas Technical University, University of Miami, and Wright State University. Thousands of students have benefited from Steve’s instruction, coaching, and admissions consulting, and have entered the graduate programs of their choice. Steve’s students have gained admission to some of the most prestigious institutions of higher learning in the world, and have received numerous scholarships and fellowships of their own. Since 1997, Steve has served as the president of Advantage Education® (www.AdvantageEd.com), a company dedicated to providing effective and affordable test prep education in a variety of settings, including one-on-one tutoring via the Internet worldwide using its Personal Distance Learning® system. The information and techniques included in this book are the result of Steve’s experiences with test preparation students at all levels over many years. iii Acknowledgments I would like to acknowledge the outstanding contribution of the faculty and staff of Advantage Education. Your hard work and dedication have made this endeavor a success. You are not only the smartest but also the best. The following Advantage Education staff members deserve special thanks for their extra efforts: Senior Editor and Project Manager: Amy Dulan Contributing Authors/Editors: Pamela Chamberlain, Lisa DiLiberti, Megan Hettwer, Matt Mathison, Blair Morley, Ryan Particka, Jordan Pearce, Andrew Sanford, and Amanda Thompson. iv Contents at a Glance PART I: Introduction to the GRE General Test CHAPTER 1 Overview of the GRE 3 CHAPTER 2 Taking the GRE 11 CHAPTER 3 Information for International Test-Takers 15 PART II: Preparing for the GRE General Test CHAPTER 4 GRE Diagnostic Test 21 CHAPTER 5 GRE General Testing Strategies 61 CHAPTER 6 Introduction to GRE Logic 71 CHAPTER 7 GRE Analytical Writing Assessment 85 CHAPTER 8 GRE Quantitative 115 CHAPTER 9 GRE Verbal 141 PART III: Content Area Review CHAPTER 10 Basic GRE Math Review 191 CHAPTER 11 Basic GRE Verbal Review 247 PART IV: Practicing for the GRE General Test CHAPTER 12 GRE Practice Test 1 271 CHAPTER 13 GRE Practice Test 2 315 CHAPTER 14 GRE Practice Test 3 361 Appendixes APPENDIX A GRE Vocabulary List 407 APPENDIX B Glossary of GRE Math Terms 439 APPENDIX C Additional Resources 451