AP Calculus AB Practice Exams 1
AP CALCULUS AB
5 Practice Exams with Complete
Solutions
200+ Problems | Step-by-Step Solutions | Exam-Style Questions
Perfect for:
AP Calculus AB Exam • College Board • High School
Calculus
University Entrance • SAT Math Level 2
Author: Rachid Ousalem
March 27, 2026
Rachid Ousalem
,AP Calculus AB Practice Exams 2
Contents
Introduction 2
1 Practice Exam 1 4
2 Practice Exam 2 13
3 Practice Exam 2 20
4 Practice Exam 3 27
5 Practice Exam 4 28
6 Practice Exam 5 36
Additional Advanced Practice 43
Formula Sheet 50
AP Calculus AB Topic Summary 53
Mega Practice Questions 55
Solutions to Mega Practice 72
Introduction
Welcome to AP Calculus AB Practice Exams
This book contains 5 complete practice exams designed to mirror the actual
AP Calculus AB exam. Each exam includes:
• Section I: Multiple Choice - 45 questions (1 hour 45 minutes)
• Section II: Free Response - 6 questions (1 hour 30 minutes)
All solutions are provided with step-by-step explanations to help you understand
the concepts and avoid common mistakes.
How to Use This Book
1. Simulate Exam Conditions - Take each exam in 3 hours and 15 minutes
2. Grade Yourself - Use the answer keys and scoring guidelines
3. Review Solutions - Study the detailed solutions for any mistakes
4. Track Your Progress - Record your scores to see improvement
Rachid Ousalem
,AP Calculus AB Practice Exams 3
Exam Structure
Section Questions Time Weight
I: Multiple Choice 45 1 hr 45 min 50%
II: Free Response 6 1 hr 30 min 50%
Total 51 3 hr 15 min 100%
Rachid Ousalem
, AP Calculus AB Practice Exams 4
1 Practice Exam 1
Section I: Multiple Choice (45 Questions)
Time: 1 hour 45 minutes
Multiple Choice Questions
x2 − 4
1. lim =
x→2 x − 2
(a) 0
(b) 2
(c) 4
(d) Does not exist
2. If f (x) = x3 − 3x2 + 2x, then f ′ (x) =
(a) 3x2 − 6x + 2
(b) 3x2 − 3x + 2
(c) x2 − 3x + 2
(d) 3x2 − 6x
Z 1
3. (3x2 + 2x) dx =
0
(a) 1
(b) 2
(c) 3
(d) 4
4. The derivative of f (x) = e2x is:
(a) e2x
(b) 2e2x
(c) 2xe2x−1
(d) 2xe2x
d
5. ln(x2 + 1) =
dx
(a) 1
x2 +1
Rachid Ousalem
AP CALCULUS AB
5 Practice Exams with Complete
Solutions
200+ Problems | Step-by-Step Solutions | Exam-Style Questions
Perfect for:
AP Calculus AB Exam • College Board • High School
Calculus
University Entrance • SAT Math Level 2
Author: Rachid Ousalem
March 27, 2026
Rachid Ousalem
,AP Calculus AB Practice Exams 2
Contents
Introduction 2
1 Practice Exam 1 4
2 Practice Exam 2 13
3 Practice Exam 2 20
4 Practice Exam 3 27
5 Practice Exam 4 28
6 Practice Exam 5 36
Additional Advanced Practice 43
Formula Sheet 50
AP Calculus AB Topic Summary 53
Mega Practice Questions 55
Solutions to Mega Practice 72
Introduction
Welcome to AP Calculus AB Practice Exams
This book contains 5 complete practice exams designed to mirror the actual
AP Calculus AB exam. Each exam includes:
• Section I: Multiple Choice - 45 questions (1 hour 45 minutes)
• Section II: Free Response - 6 questions (1 hour 30 minutes)
All solutions are provided with step-by-step explanations to help you understand
the concepts and avoid common mistakes.
How to Use This Book
1. Simulate Exam Conditions - Take each exam in 3 hours and 15 minutes
2. Grade Yourself - Use the answer keys and scoring guidelines
3. Review Solutions - Study the detailed solutions for any mistakes
4. Track Your Progress - Record your scores to see improvement
Rachid Ousalem
,AP Calculus AB Practice Exams 3
Exam Structure
Section Questions Time Weight
I: Multiple Choice 45 1 hr 45 min 50%
II: Free Response 6 1 hr 30 min 50%
Total 51 3 hr 15 min 100%
Rachid Ousalem
, AP Calculus AB Practice Exams 4
1 Practice Exam 1
Section I: Multiple Choice (45 Questions)
Time: 1 hour 45 minutes
Multiple Choice Questions
x2 − 4
1. lim =
x→2 x − 2
(a) 0
(b) 2
(c) 4
(d) Does not exist
2. If f (x) = x3 − 3x2 + 2x, then f ′ (x) =
(a) 3x2 − 6x + 2
(b) 3x2 − 3x + 2
(c) x2 − 3x + 2
(d) 3x2 − 6x
Z 1
3. (3x2 + 2x) dx =
0
(a) 1
(b) 2
(c) 3
(d) 4
4. The derivative of f (x) = e2x is:
(a) e2x
(b) 2e2x
(c) 2xe2x−1
(d) 2xe2x
d
5. ln(x2 + 1) =
dx
(a) 1
x2 +1
Rachid Ousalem
