Table of Contents
About the Author vii
How to Use This Book ix
Introduction to the PSAT/NMSQT 1
Diagnostic Test
Diagnostic Test 7
Answer Key 50
Diagnostic Test Analysis Guide 52
Answer Explanations 54
Reading
1 Reading 75
Frequently Asked Questions 75
Reading Passage Strategies 76
Reading Questions Strategies 79
Tactics for Specific Reading Question Types 81
Putting It All Together 82
Reading Questions Drills 87
Reading Passages Drills 113
Troubleshooting 140
Further Preparation 141
2 Advanced Reading Drills 143
Fiction 144
Great Global Conversation 153
Social Science 162
Science 168
Answer Explanations 181
Writing and Language
3 Writing and Language 201
Frequently Asked Questions 201
Writing and Language Strategies 202
Idea Development Questions 204
Organization Questions 214
Effective Language Use 219
Sentence Structure 228
Conventions of Usage 237
Punctuation 247
Frequent Types of Punctuation Questions 251
Practice Exercises 254
Troubleshooting 280
Further Preparation 281
4 Advanced Writing and Language Drills 283
Advanced Writing and Language Drills 284
Answer Explanations 302
Math
5 Math Review 315
What Is Tested on the Math Section? 315
How Should I Use This Chapter? 315
Heart of Algebra 317
Order of Operations 317
Substitution and Elimination to Solve a System of Equations 319
Fractions 323
Inequalities 325
Absolute Value 327
Linear Relationships 328
Problem Solving and Data Analysis 331
Interpreting Functions 331
Percentages 336
Ratios, Proportions, and Direct and Inverse Variation 338
Mean, Median, and Mode 341
Probability and Statistics 343
Passport to Advanced Math 349
Factoring 349
Advanced Equation Concepts 351
Synthetic Division 355
Function Notation and Manipulation 356
Exponents 357
Zeros and Parabolas 359
Additional Topics in Math 363
Imaginary Numbers 363
Trigonometry 364
Circles 367
PSAT Reference Formulas 372
Math Essentials Review Quiz 373
Further Preparation 382
6 Math Strategies, Tactics, and Problem Solving 383
How Is the PSAT Math Test Designed? 383
How Can I Prepare for and Be Successful on the PSAT Math Test? 383
PSAT Math Timing Strategies 384
PSAT Math Question Strategies 385
Math Tactics with Examples 387
Heart of Algebra Practice 401
Problem Solving and Data Analysis Practice 409
Passport to Advanced Math Practice 417
Additional Topics in Math Practice 426
Troubleshooting 430
7 Advanced Math Drills 431
Heart of Algebra 432
Problem Solving and Data Analysis 436
Passport to Advanced Math 442
Additional Topics in Math 447
Calculator Problems 448
Free-Response Problems 450
No-Calculator Problems 450
Answer Explanations 453
Practice Tests
Practice Test 1 501
Answer Key 541
Answer Explanations 543
Practice Test 2 569
Answer Key 606
Answer Explanations 608
Appendix
Appendix: After the PSAT 629
Index 633