Conquering ACT Math & Science 2025–2026 | 10 Full-Length Practice Tests + Step-by-Step Explanations

,CONTENTS



About the Authors ix
ACT Computer-Based Testing xi


Introduction 1
About the ACT 1
Structure of the ACT 1
How to Use This Book 3
General Test-Taking Information and Strategies 4
What to Do on Test Day 11
What’s Next? 12

PART I The ACT Mathematics Test 13
Chapter 1 Format and Scoring 15
Format 15
Scoring 16
What’s Next? 16
Chapter 2 ACT Mathematics Diagnostic Test 17
Answer Key 36
Scoring Worksheet 36
Answers and Explanations 37
Chapter 3 Strategies and Techniques 43
Apply Logic 43
Draw Pictures 44
Answer the Question That You Are Asked 45
Don’t Quit Early 45
Let the Answer Choices Guide You 46
Substitute Numbers for the Variables 47
Read the Questions Carefully 48
What’s Next? 49

PART II ACT Mathematics Test Content Areas 51
Chapter 4 Content Areas Tested 53
Concepts 53
What’s Next? 78
Chapter 5 Applying Strategies, Building Skills 79
Pre-Algebra 79
Elementary Algebra 83
Intermediate Algebra 84
Coordinate Geometry 86
Plane Geometry 89
Trigonometry 93
Matrices and Vectors 95
Answers and Explanations 97
What’s Next? 106

,vi CONTENTS


PART III Practice Tests 107
Chapter 6 Practice Test 1 with Explanations 109
Answer Key 128
Scoring Worksheet 128
Answers and Explanations 129
Chapter 7 Practice Test 2 with Explanations 137
Answer Key 155
Scoring Worksheet 155
Answers and Explanations 156
Chapter 8 Practice Test 3 with Explanations 165
Answer Key 183
Scoring Worksheet 183
Answers and Explanations 184
Chapter 9 Practice Test 4 with Explanations 191
Answer Key 209
Scoring Worksheet 209
Answers and Explanations 210

PART IV The ACT Science Test 219
Chapter 10 Format and Scoring 221
Format 221
Scoring 222
What’s Next? 223
Chapter 11 ACT Science Diagnostic Test 225
Answers and Explanations 238
Chapter 12 Strategies and Techniques 241
Prioritize 241
Apply Logic and Common Sense 242
Be “Trendy” 242
Ignore “Sciency” Language 242
Read the Questions Carefully 242
Predict Answers 243
The Scientific Method 243
Practice Questions 244
Answers and Explanations 250
What’s Next? 252

PART V Practice Tests 253
Chapter 13 Practice Test 1 with Explanations 255
Answers and Explanations 270
Chapter 14 Practice Test 2 with Explanations 273
Answers and Explanations 287
Chapter 15 Practice Test 3 with Explanations 291
Answers and Explanations 305
Chapter 16 Practice Test 4 with Explanations 309
Answers and Explanations 324

, CONTENTS vii


PART VI Appendixes 327
Appendix A Glossary of Mathematics Terms and Formulas 329
Appendix B Glossary of Scientific Terms 353
Appendix C Quick Review Sheet 359
General Test-Taking Strategies 359
Math Concepts and Strategies 360
Science Concepts and Strategies 361
Appendix D Additional Resources 363
ACT, Inc. 363
Textbooks and Human Resources 363