McGraw-Hill's Conquering SAT Math, 2nd Ed - …

1 mcgraw - hill sCONQUERINGSAT MATHSECOND EDITIONR obert PostmanProfessor of Mathematics and EducationMercy College, New YorkRyan PostmanMathematics DepartmentPascack Hills High School, New JerseyMCGRAW-HILLNew York / Chicago / San Francisco / Lisbon / London / Madrid / Mexico City Milan / New Delhi / San Juan / Seoul / Singapore / Sydney / TorontoACKNOWLEDGMENTSThis book shows you how to get your highest possible score on the New SAT:Mathematics Test. Hundreds of high school students, just like you, field test-ed this book. Much of what is here reflects these students opinions aboutwhat was most helpful to them. The book has also been reviewed by manyhigh school teachers and college faculty, and it incorporates many of theirsuggestions about what will be most helpful to book has over 600 realistic SAT problems with explained of those problems are in five SAT math Practice Tests.

2 The rest of theproblems are in the chapters that review all of the mathematics concepts onthe new SAT. These review chapters have hundreds more examples and prac-tice exercises to help you sharpen your mathematics thanks go to Judy Brendel, Mathematics Supervisor, who sup-ported the development of this book. Particular thanks go to John Uhl, JanetTelesmanich, Charleen Martinelli, Kevin Killian, and Michelle Gaeta. Thesetalented mathematics teachers reviewed the SAT math Practice are due also to the hundreds of high school students who reviewedevery part of this book. Thanks are also due to Texas Instruments for per-mission to use images of their 2007 The mcgraw - hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted underthe United States Copyright Act of 1976, no part of this publication 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.

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6 DOI: hope you enjoy thisMcGraw- hill eBook! Ifyou d like more information about this book,its author, or related books and websites,please click to learn more?CONTENTSCHAPTER 1: INTRODUCTION / 1 CHAPTER 2: NUMBERS AND OPERATIONS ON NUMBERS / 8 CHAPTER 3: FACTORS AND MULTIPLES / 20 CHAPTER 4: RATIOS AND PROPORTIONS / 32 CHAPTER 5: PERCENTS / 43 CHAPTER 6: MEAN, MEDIAN, AND MODE / 54 CHAPTER 7: POWERS AND RADICALS / 65 CHAPTER 8: BASIC ALGEBRA / 76 CHAPTER 9: COORDINATE GEOMETRY / 91 CHAPTER 10: FUNCTIONS AND MATHEMATICAL MODELS / 103 CHAPTER 11: TRIANGLES / 122 CHAPTER 12: QUADRILATERALS AND OTHER POLYGONS / 148 CHAPTER 13: CIRCLES / 164 CHAPTER 14: INTERSECTING LINES / 179 CHAPTER 15: SOLIDS / 193 CHAPTER 16: COUNTING, PROBABILITY, AND LOGIC PROBLEMS / 210 CHAPTER 17: DATA INTERPRETATION / 224 For more information about this title, click hereCHAPTER 18: SAT WORD PROBLEMS / 245 CHAPTER 19: SAT math PRACTICE TEST 1 / 255 CHAPTER 20: SAT math PRACTICE TEST 2 / 285 CHAPTER 21: SAT math PRACTICE TEST 3 / 313 CHAPTER 22.

7 SAT math PRACTICE TEST 4 / 343 CHAPTER 23: SAT math PRACTICE TEST 5 / 369ivCONTENTSCHAPTER 1 INTRODUCTIONC onquering the New SAT math covers all the mathematics topics and all theproblem types on the new version of the SAT. It is the SAT you will page in this book was field tested by high school students and reviewedby experienced high school math teachers. We listened very carefully to stu-dent and teacher recommendations to create a book that will work for learn mathematics by doing mathematics. The review sections of thisbook contain hundreds of examples and practice problems. The review sec-tions also feature worked-out model SAT problems more than 300 practiceSAT problems with explained answers. There are another 270 SAT problemswith explained answers in five SAT Mathematics Practice Tests. That s morethan 600 worked-out SAT practice problems in review each of the 17 major areas on the SAT in 17 separate chapter begins with a clear review and practice with answers.

8 Nextcome several worked-out SAT problems to show you how to apply the math -ematics concepts to the SAT format. Then comes a whole set of practice SATproblems in each chapter, with explained answers. The problems generallyincrease in five mathematics practice tests follow the review chapters. Each testreflects the mix of mathematics problems you will find on the real SAT. Thetests are deliberately a little more difficult than the actual SAT. You will getan estimated mathematics score range for each test you show you strategies for answering SAT multiple choice and grid-in math questions. However, the most important strategy is to think mathe-matically, just like the people who make up the test do. These test writers al-ways have particular mathematics skills and concepts in mind as they writean item. Knowing how to spot those concepts is usually the secret to gettinga high score.

9 You ll learn that from this Decide How Much Review You NeedThis book is designed to help you no matter how much SAT mathematicspreparation you need. Which type of student are you? I need mathematics review. I need to practice SAT problems. I need to take practice SAT through the review chapters and then take the practice tests. I need to practice SAT problems. I need to take practice SAT the teaching and practice in the review chapters and go directly to theModel Problems in each chapter. Complete the practice problems in eachchapter and take the practice tests. I just need to take practice SAT the review chapters and go to the practice 2007 The mcgraw - hill Companies, Inc. Click here for terms of use. 2 Conquering SAT MATHMATHEMATICS TEST OVERVIEWT here are two types of SAT mathematics problems, multiple choice and stu-dent response (grid-in). Here is an overview of the math sections of the SATTwo 25-minute test sectionsOne 20-minute test sectionTotal 70 minutesMultiple-choice items44 itemsGrid-ins10 itemsTotal54 itemsMath Is Not my Favorite SubjectOK, we understand that.

10 Most of the other parts of the SAT reflect things youmight do in a normal week reading, understanding, and writing. The onlytime most people do SAT mathematics problems is on the mathematics , that s the way it is. If things ever change, we ll be the first to tell then, we ll show you the way to your highest possible TEST STRATEGIEST here are different strategies for each problem type. Let s take them in ChoiceRemember, a multiple choice item always shows you the correct multiple choice item has five answer choices. SAT scoring deducts 1/4point for each incorrect answer. That means that, on average, you ll lose asmall fraction of a point if you just guess an answer. However, if you are surethat one or more of the answers are wrong, on average, you will gain if youguess. It s just simple and GuessIf you know the answer, fill in that oval on the answer sheet. If you don tknow the answer, and you can definitely eliminate at least one answer, crossoff the answers you know are incorrect right in the test booklet.