1. TestMentorsSATMATH WORKBOOKTestMentors TeamDanny Borchate

2. TestMentor LLC,102, Crown Point Rd, ParsippanyNJ 07054 USA.Email : support@test-mentor.comContact number- +1-862-239-5088Copyright by the TestMentor LLC.All rights reserved. Published in the United State by TestMentor LLC. No part ofthis publication may be reproduced, stored in a retrieval system, or transmitted inany form or by any means, electronic, mechanical, photocopying, recording orotherwise, without the prior written permission of the author.This book is designed to provide information to our readers. It is provided with theunderstanding that the publisher is not engaged to render any type of legal or anyother kind of professional advice. The content of each article is the sole expressionand opinion of its author, and not necessarily that of the publisher. No warrantiesor guarantees are expressed or implied by the publishers choice to include any ofthe content in this volume. Neither the publisher nor the individual author(s) shallbe liable for any physical, psychological, emotional, financial, or commercialdamages, including, but not limited to, special, incidental, consequential or otherdamages. Our views and rights are the same: You are responsible for your ownchoices, actions, and results. Please consult with a legal professional for counseling.SAT is a registered trademark of the college board, which was not involved in theproduction of, and does not endorse, this product.All other questions in the book are created by Authors.ISBN-13: 978-1500983956ISBN- 10: 1500983950Editor: TestMentor 3. PrefaceIn this competitive world a student must be equipped well. He has very less time to build his career. 'The chance', I would name to the SAT. It decides your path, it decides your life, it reflects your potential, it directs the way, and more than this it secures your future. This is the SAT, Scholastic Aptitude test. There are many more tests but the SAT is considered one of the most researched test so has the maximum acceptance. It is given by more than 2 million students every year. What does the SAT tests? This question has multiple answers. Below some of the critical answers are given. It measures developed reasoning. It measures the student's ability to work in pressurized environment. It predicts subject skills more than that it is predicator of performance in the college. It reveals a student's content skill or personal knowledge and performance ability. It is tightly timed.When I realized the importance of the SAT, I thought what can be made to raise students' ability. The structure of the SAT is divided in three sections; critical reading, maths, and writing. 2400 marks in 200 minutes, the major flaw is it is hard to finish.What is required? The binding of the book is different. I don't claim it would be astonishing or any miracle would happen. Hard work is the only option. The SAT requires quickness to answer the questions, in limited time. It expects you to be exact in choosing the answer. It checks your decision power. The very important thing is comprehensive ability with writing ability.During the concept formulating I followed the above given principles. In a way this book gives through practice of each section. It is easy to answers but hard to get the explanation of the answers. The students will be privileged in this book with the expert s' explanation. This is one of the strongest point of the book. To achieve exactness and independency self analyzing formula is very essential. Here you will get it. No need to search the expert for analysis for your progress. The given format is self-reliant. Check the score check the format, and get the analysis.During the process of this compilation I realized the psychology of the test. To get high score students need thorough information, material of the exam, guidance during study, a lot of practice, and yeah! Confidence that we get from the result. TestMentor's Math books are the execution of the given principles. It comprises practice tests of each section in Maths. It has focused equally on every section of math. The book doesn't carry the author's impression, it is made independent. Self analyzing part, multiple practice tests, experts' solutions, and much more you can find here.The book is an attempt to derive potential from students 4. Contents 1 Getting Started for SAT1: SAT OverviewHistory of SATAbout SAT2: Math OverviewSyllabusQuestion Format2 Self Assessment3: Diagnostic TestAnswer Key with ExplanationsAnalysis & Recommendation4: Preparation StrategyStudy Plan3 Mathematics Preparation5: Numbers and OperationsOverview and StrategyTips & TricksArithmetic Word ProblemsRational NumbersSet ProblemsCounting Technique6: Exercise: Numbers and OperationsL1 Exercise (Easy)L2 Exercise (Medium)L3 Exercise (Hard)7: Analyze and Test Knowledge of Numbers & OperationsAnswer Key with ExplanationsAnalysis & Recommendation1119333571035143 5. 8: Algebra & FunctionsOverview and StrategyTips & TricksAlgebraic Word ProblemsProperties & ExponentsLinear Equations & InequalitiesQuadratic EquationsEquations of Lines9: Exercise: Algebra & FunctionsL1 Exercise (Easy)L2 Exercise (Medium)L3 Exercise (Hard)10: Analyze and Test Knowledge of Algebra & FunctionsAnswer Key with ExplanationsAnalysis & Recommendation11: Geometry & MeasurementOverview and StrategyTips & TricksArea and Perimeter of PolygonArea & Circumference of CircleVolume of Box, Cube, and CylinderParallel & Perpendicular LinesCo-ordinate Geometry12: Exercise: Geometry & MeasurementL1 Exercise (Easy)L2 Exercise (Medium)L3 Exercise (Hard)13: Analyze and Test your Knowledge of Geometry & MeasurementAnswer Key with ExplanationsAnalysis & Recommendation14: Data Analysis, Statistics & ProbabilityOverview & StrategyTips & TricksData Interpretation (Tables and Graphs)8911112513315316781 6. Descriptive Statistics (Mean, Median, Mode)Probability15: Exercise: Data Analysis, Statistics & ProbabilityL1 Exercise (Easy)L2 Exercise (Medium)L3 Exercise (Hard)16: Analyze and Test Knowledge: Data Analysis, Statistics & ProbabilityAnswer Key with ExplanationsAnalysis and Recommendation4 Practice Tests17: Math Practice Test 1Answer Keys & Evaluation Chart18: Math Practice Test 2Answer Keys & Evaluation Chart19: Math Practice Test 3Answer Keys & Evaluation Chart20: Math Practice Test 4Answer Keys & Evaluation Chart21: Math Practice Test 5Answer Keys & Evaluation Chart5 Students' Tools to Improve Mathematics22: Glossary23: Flashcard6 Practice Tests Answer Booklets365299267235207195173331377 7. 01 Getting Started for SAT 8. Chapter01SAT Overview A strong SAT Score is a significant criteria for College admissions. TestMentor provides you tools like Diagnostic Test, Workbooks for various subjects, Practice Tests, counseling, and Detail Analysis Report to raise the score.Lets start! The ultimate aim is to enable students to achieve high score in the SAT. First chapter will give the details of the SAT exam, everything from understanding basics of the SAT exam to achieving the highest score in the exam. 9. History of SATEarlier SAT was an achievement test to figure out applicants' performance in high school. It was to measure the level achieved by applying for a college. Coaching schools suggested the name SAT Scholastic Aptitude Test.Why SAT?The SAT provides a reliable system to determine the qualifications of students applying to college. The SAT has been able to give colleges an opportunity to accept students based on their merit rather than their family background.Here are some reasons why to appear for SAT :-1. To prove talent and abilities: Aptitude test decides future and capabilities of students. It boosts the confidence of students. Also, if you want to stand firmly in this competitive world, you need score high in final.2. Self evaluation: These tests evaluate the overall level of knowledge and learning aptitude of students. They serve as critical criterion for those who want to find success and move on to post-secondary education of their choices.3. Speeding through college: Students with high scores in SAT are often able to skip basic math and writing skill level classes to get sorted for advanced-level classes.4. Application process to get the best college: Most colleges that are significant attending have need of SAT scores as a part of their admission process. Even if the college you plan to attend also accepts other tests, such as the ACT, SAT is more versatile because it is almost universally accepted as an entrance exam.5. What is SAT? SAT is Scholastic Assessment Test. The SAT is a standardized test for college admissions in the United States. The SAT is administered by the Educational Testing Service (ETS) in the United States and college board develops, publishes, and gives score for the SAT.Do you Know ? First SAT was developed in 1901 as means of determining intelligence without systematic bias. 10. The SAT is a commonly used test by colleges to measure if a student will succeed at academics. The score of a student gets of SAT is often used as a predictor of how a student is likely to perform in college-level studies. Also keep in mind that SAT score is only one of many factors that colleges consider when making admissions decisions.Other factors like high school record, writing ability, extra-curricular activities, recommendations, and interviews influence how you will be received by the school of your choice.The SAT is a significant element for college admission journey. It shows colleges your skills and potential.The SAT is the most thoroughly researched and designed test in the world, which ensures students from all backgrounds have an equal chance to succeed.Each section of the SAT includes 200-800 point system which makes the total score possible range from 600-2400. The average score per section is 500 making the total average score 1500.It measures the ability of candidates to solve problems and use reasoning skills at the level necessary for US universities.It measures students level to think critically in the same manner that will be required of them in college.SAT Reasoning Test is made of three sections: math, writing, and critical reading.Examination Pattern Paper Based Examination.SAT EXAMINATION CALENDARWhen How MonthsDuring 11th & 12th gradeSAT is held 7 times in USA, Puerto Rico, and US TerritoriesJanuary, March, May, June, October, November, DecemberDuring 11th & 12th grade6 times a year at over 650 overseas locationsJanuary, May, June, October, November, DecemberDo you Know ? SAT is scored and curved on a modified normal distribution 11. Registration of SAT:There are mainly two ways of registering for SAT:1. By mail: To register by mail, first obtain a copy of the College Board's Bulletin for SAT Program (available at any school's guidance counselor's office). Fill in the form, get the draft made (if you are not paying by credit card), and use an envelope provided with the form to mail these to:2. Online Registration (credit card required): Fill up the form online at College Boards website: www.collegeboard.com.3. By Phone If you are retaking the exam, you can also register by phone at800-SAT-SCORESAT Test Fees:College Board Test FeeSAT Reasoning Test$51.00Basic Registration Fee (per Registration)$24.50Language Tests with Listening$25.00All other Subject Tests$13.00 Services FeeLate Registration Fee (U.S. and U.S. territories)$27.50Change Test Date, Test or Test Center Fee$27.50Do you Know ? SAT originally stands for:"Scholastic Achievement Test"College Board SAT Program P.O. Box 6200 Princeton, NJ 08541-6200, USA 12. Syllabus for SAT:The SAT focuses on Math, Verbal, and Writing. It is divided in 10 sections; 3 sections for each major category (math, verbal, and writing), and one experimental section that is not graded. Table showing Subjects, Questions, and Time required for SAT: Section Content No of Questions Time GivenCritical Reading(Two 25 min section and one 20 min sub- section)Sentence CompletionPassage based reading194870 minMathematics(Two 25 min section and one 20 min subsection) 44 MCQs+ 10 grid-ins.Numbers and OperationsAlgebra and FunctionsGeometry & MeasurementData Analysis11-1419-2214-165-870 minWriting(One 25 min essay and one 25 min multiple choice sub- section and one 10 min multiple choice subsection)EssayImproving SentencesIdentifying Sentence ErrorsImproving Paragraphs12518660 minDo you Know ? In the years between 1941 and 1994, the scores steadily decreased as more and more unqualified students began to take the test675450 13. SAT Exams Structure: Section Time Topic's Name No of Question Evaluation Techniques125 minWriting-Essay1 EssayExpert Teacher225 minCritical Reading Sentence Completion, Short Reading Passages. Long Reading Passages24-28Computer based325 minMathematics20Computer based425 minWriting- Multiple Choice33-37Computer based525 minCritical Reading Sentence Completion Short Reading Passages Long Reading Passages24-27Computer based625 minMathematics Multiple choice 10 Questions Grid-ins 10 Questions20Computer based720 minCritical Reading Reading Passages (Possible Sentence Completions)15-20Computer based820 minMathematics14-15Computer based925 min(Experimental Section)Critical Reading, Math, Writing20-35Computer based1010 minWriting- Multiple Choice Improving Sentences14-15Computer based3 Hrs 45 Min202-212 QuestionsNote: This pattern may vary. Do you Know ? There are 10 sections, but only the scores of 9 sections is counted. Unfortunately, you will not know which section left so try your hardest on all of the sections. 14. Evaluation of Score:SAT scores are based on a student's percentile relative to other students taking the same test. Scoring of SAT test is done in two ways: raw and scaled.The raw score is a tabulation of questions answered correctly or incorrectly. Students are encouraged not to leave answers blank because they are not penalized for wrong or blank answers in a student-produced answer section. Students receive 1 point for a correct answer and have 1/4 point deducted for wrong answers in multiple-choices questions only. The amount of points is deducted depends on how many options there are for that particular question. The more options are there, the smaller the fraction of a point is deducted. Students are not penalized for wrong answers on other types of questions. Questions left unanswered do not affect raw scores.The scaled score normalizes for different forms of the test taken by different students at different times. Students receive test scores by mail within 3 to 6 weeks of taking the test. They are given their raw score as well as their percentile that ranks how many other test-givers got a lower score. For example, scoring in the 90th percentile means that student scored higher than 90 percent of everyone else.How to Calculate the Score?Step 1:Your raw scores are calculated for each section based on the number of questions you got correct or incorrect, or that you omitted. +1 point for questions you get correct -1/4 point subtracted for incorrect multiple-choice 0 points subtracted for incorrect student-produced response (math section) 0 points subtracted for questions you don't answerStep 2:Step 3:Your raw score is then converted into a scaled score (reported on a 200-800 scale) by a statistical process called equating. For conversion of raw score to scaled score Score Conversion Table is used. Do you Know ? In 1994, the test mean was re-centered and the test re-named to simply SAT. So, SAT doesn't really stand for anything!No. of correct questions (No. of wrong questions 4) = Raw Score 15. Score Conversion Table MathematicsRaw ScoreScaled ScorePercentile54800995380099527809851760975074096497309648720954771094467009345690924468090436708942660874165085406408339630823862080376208036610783560074345907233580703257067315606430550622954058285305527530552652052255104924500452349042224803921470352046032Score Conversion Table MathematicsRaw ScoreScaled ScorePercentile19450291844026174302316420211542021144101813400161239013113801110370109360883507733056320453103429023280222601124010210-1-1200-1-2200-1-3200-1-4and below200-1