Gruber's Complete SAT Math Workbook

✍ Scribed by Gary Gruber

• Publisher: Sourcebooks, Inc.
• Year: 2009
• Tongue: English
• Leaves: 430
• Edition: Workbook
• Category: Library

✦ Synopsis

THE EASIEST, FASTEST WAY TO IMPROVE YOUR SCORE
Secrets of the Math Sections Design
Strategies for Solving All Math Questions
Time Saving Shortcuts and Tips
EFFECTIVE STUDY TOOLS THAT ARE ACTUALLY FUN
Mini and Complete Math Refreshers
* Two Practice Math SAT Tests
Dr. Gary Gruber is nationally recognized as the leading expert on the SAT, test-taking methods, and critical-thinking skills. His methods have been used by PBS, Sylvan Learning Centers, and schools throughout the country. His books have sold more than seven million copies. He lives in Mill Valley, CA.

✦ Table of Contents

Title Page
......Page 2
Copyright
......Page 3
Contents......Page 6
Purpose of This Book......Page 10
Important Note about This Book and Its Author......Page 11
What This Book Contains......Page 12
How to Use This Book Most Effectively......Page 13
Part I: Introduction......Page 14
Is Guessing Still Advisable?......Page 16
A Table of What’s on the SAT Math......Page 17
Should I Be Familiar with the Directions to the Various Items on the SAT Before Taking the SAT?
......Page 18
How Is the Exam Scored? Are Some Questions Worth More Points?
......Page 19
The Test Is Given in One Booklet. Can a Student Skip Between Sections?
......Page 20
I Know There Is an Experimental Section on the Exam That Is Not Scored. How Do I Know Which Section It Is?
......Page 21
How Do Other Exams Compare with the SAT? Can I Use the Strategies and Examples in This Book for Them?......Page 22
How Does the Gruber Preparation Method Differ from Other Programs and SAT Books?......Page 23
II. The Inside Track on How SAT Math Questions Are Developed and How They Vary from Test to Test......Page 24
III. What Are Critical Thinking Skills?......Page 25
IV. Math Strategies for Women......Page 27
V. Multi-Level Approaches to the Soultion of Problems......Page 28
VI. Format of the Math SAT Part......Page 32
Part II. The 101 Most Important Math Questions You Need to Know How to Solve......Page 34
101 Math Questions Answer Sheet
......Page 36
A. Fractions......Page 38
C. Factors......Page 39
D. Exponents......Page 40
F. Equations......Page 41
H. Angles (Parallel Lines)......Page 42
I. Triangles......Page 43
J. Circles......Page 45
K. Other Figures......Page 46
L. Number Lines......Page 47
N. Inequalities......Page 48
P. Shortcuts......Page 49
101 Math Questions: Answers......Page 51
Basic Skills Math Diagnosis......Page 53
B. Even–Odd Relations......Page 54
D. Exponents......Page 55
E. Percentages......Page 56
G. Angles (Vertical, Supplementary)......Page 57
I. Triangles......Page 58
K. Other Figures......Page 61
M. Coordinates......Page 62
O. Averages......Page 63
P. Shortcuts......Page 64
Part III: Mini Math Refresher
......Page 66
1. Rules of Algebra......Page 68
3. Angles......Page 69
5. Areas......Page 70
6. Coordinate Systems and Graphing......Page 71
7. Solving Equations......Page 72
8. Inequalities......Page 73
Part IV: Diagnostic Tests and Instructional Material
......Page 74
How to Use the Diagnostic Tests and Instructional Material......Page 76
Diagnostic Test on Fractions......Page 77
Solutions for Diagnostic Test......Page 79
Instructional Material on Fractions......Page 81
Solutions for Diagnostic Test (without a calculator)......Page 93
Instructional Material on Decimals......Page 94
Diagnostic Test on Percentage......Page 102
Instructional Material on Percentage......Page 103
Solutions for Diagnostic Test......Page 111
Instructional Material on Exponents and Roots......Page 112
Solutions for Diagnostic Test......Page 116
Instructional Material on Whole Numbers......Page 117
Answers to Practice Exercises in Arithmetic......Page 121
Diagnostic Test on Signed Numbers......Page 128
Instructional Material on Signed Numbers......Page 129
Diagnostic Test on Algebraic Expressions......Page 133
Solutions for Diagnostic Test......Page 134
Instructional Material on Algebraic Expressions......Page 135
Solutions for Diagnostic Test......Page 143
Instructional Material on Factoring......Page 144
Solutions for Diagnostic Test......Page 150
Instructional Material on Equations......Page 151
Diagnostic Test on Ratio and Proportion......Page 160
Instructional Material on Ratio and Proportion......Page 161
Solutions for Diagnostic Test......Page 166
Instructional Material on Rate and Work......Page 167
Solutions for Diagnostic Test......Page 170
Instructional Material on Averages......Page 171
Solutions for Diagnostic Test......Page 173
Instructional Material on Combinations......Page 174
Diagnostic Test on Inequalities......Page 176
Instructional Material on Inequalities......Page 177
Answers to Practic Exercises in Algebra......Page 182
Diagnostic Test on Angles......Page 188
Solutions for Diagnostic Test......Page 189
3-1 Instructional Material on Angles......Page 190
Diagnostic Test on Lines......Page 195
3-2 Instructional Material on Lines......Page 196
Diagnostic Test on Polygons......Page 199
Solutions for Diagnostic Test......Page 200
3-3 Instructional Material on Polygons......Page 201
Diagnostic Test on Triangles......Page 204
Solutions for Diagnostic Test......Page 205
3-4 Instructional Material on Triangles......Page 206
Diagnostic Test on Circles......Page 211
Solutions for Diagnostic Test......Page 212
3-5 Instructional Material on Circles......Page 213
Diagnostic Test on Formulas......Page 216
3-6 Instructional Material on Formulas......Page 217
Geometry Tips......Page 220
Solutions for Diagnostic Test......Page 224
Answers to Practice Exercises in Plane Geometry......Page 221
Diagnostic Test on Analytic Geometry......Page 223
Answers to Practice Exercises in Analytic Geometry......Page 236
Tables, Charts, and Graphs......Page 237
Miscellaneous Problems......Page 247
Diagnostic Test on Verbal Problems......Page 251
Solutions for Diagnostic Test......Page 252
7-1 Instructional Material for Verbal Problems......Page 253
Answers to Practice Exercises in Verbal Problems......Page 256
Part V: Complete Time-Saving Strategies and Shortcuts......Page 258
Strategy 2......Page 260
Strategy 4
......Page 261
Strategy 5
......Page 262
Important Note on the Allowed Use of Calculators on the SAT
......Page 263
The Grid-Type Math Question......Page 264
Practice with Grids......Page 266
Answers......Page 267
I. Anticipating What Will Be Asked, and How to Set Up a Problem Rapidly, in Mathematical Terms
......Page 270
II. Spotting Key Words
......Page 272
III. Making the Approach to a Problem as Simple as Possible
......Page 275
IV. Problems Necessitating Shortcuts
......Page 278
V. Problems Involving an Unknown Quantity but Where a Definite Solution Is Required......Page 281
VI. Problems Involving the completion of a Diagram or Drawing of Additional Lines
......Page 283
VII. Problems Where Solutions for All Unknowns Are Not Necessary
......Page 286
VIII. Problems That Require You to Carefully Translate Words into Mathematical Terms
......Page 289
IX. Problems That Require You to Draw Mathematical Diagrams Representing What Is Being Presented
......Page 297
X. Problems Which Require You to Be Critical and Careful with the Mathematical Operations You Perform
......Page 299
XI. Problems That Are More Easily Solved by Puttnig the Problem or Variables in a More Obvious or Revealing Form
......Page 301
XII. In Problems, containing Unfamiliar Symbols, Use Simple Substitution
......Page 304
XIII. If Yuo Must Test All Choices, Work From Choice E Backwards
......Page 306
XIV. Know How to Find Unknown Expressions by Adding, Subtracting, Multiplying, or Dividing Equations or Expressions
......Page 307
10 Additional Questions Involving a Shortcut or Strategy......Page 311
Explanatory Answers Describing Shortcuts and Strategies......Page 313
How to Quickly A dd Fractions......Page 316
Percent Word Problems I......Page 317
Percent Word Problems II......Page 318
Part VI: Two SAT Math Practice Tests
......Page 320
Four Important Reasons for Taking These Practice Tests......Page 322
10 Tips for Taking the Practice Tests......Page 323
To See How You’d Do on a Math SAT and What You Should Do to Improve......Page 324
SAT Math Practice Test I
......Page 325
Practice Test 1 Answer Sheet......Page 326
Section 1......Page 328
Section 2......Page 335
Section 3......Page 340
Section 4......Page 345
Answer Key for the SAT Math Practice Test 1......Page 351
SAT Math Score Conversion Table......Page 353
Section 1......Page 355
Section 2......Page 359
Section 3......Page 363
Section 4......Page 369
What You Must Do Now to Raise Your SAT Score......Page 373
SAT Math Practice Test 2
......Page 374
Practice Test 2 Answer Sheet......Page 375
Section 1......Page 377
Section 2......Page 384
Section 3......Page 390
Section 4......Page 395
Answer Key for the SAT Math Practice Test 2......Page 401
SAT Math Score Conversion Table......Page 403
Section 1......Page 405
Section 2......Page 413
Section 3......Page 418
Section 4......Page 424
What You Must Do Now to Raise Your SAT Score......Page 429

✦ Subjects

Абитуриентам и школьникам;Математика;Подготовка к экзамену по математике;