NCEES FUNDAMENTALS OF ENGINEERING (FE) EXAM PRACTICE TEST QUESTIONS AND
CORRECT ANSWERS (VERIFIED ANSWERS) PLUS RATIONALES 2026 Q&A | INSTANT
DOWNLOAD PDF.
CORE DOMAINS
Mathematics and Statistics
Ethics and Professional Practice
Engineering Economics
Statics
Dynamics
Mechanics of Materials
Fluid Mechanics
Thermodynamics
Electrical Circuits
Engineering Economy and Safety
INTRODUCTION
This practice test is designed to assess the foundational engineering knowledge, problem-solving skill, and
professional judgment expected on the NCEES Fundamentals of Engineering exam. It emphasizes both direct
knowledge and application-based decision-making across core engineering subjects. The questions follow a
multiple-choice structure and include scenario-based prompts that reflect the kinds of calculations,
interpretations, and ethical judgments candidates must make under exam conditions. The goal is to
strengthen speed, accuracy, and confidence by reinforcing real-world engineering principles, professional
standards, and disciplined test-taking strategy.
, SECTION ONE: QUESTIONS 1–100
. What is the derivative of f (x) = 3x2 + 4x − 5?
A. 6x + 4
B. 3x + 4
C. 6x − 4
D. x2 + 4
🟢 Correct answer: A. 6x + 4
🔴 RATIONALE: Differentiate each term separately using the power rule; the derivative of 3x2 is 6x, the
derivative of 4x is 4, and the constant disappears.
. A vector has components 3 i and 4 j. What is its magnitude?
A. 5
B. 7
C. 1
D. 7
🟢 Correct answer: A. 5
🔴 RATIONALE: The magnitude is 32 + 42 = 5.
,. Which is the SI unit of force?
A. Joule
B. Newton
C. Watt
D. Pascal
🟢 Correct answer: B. Newton
🔴 RATIONALE: Force is measured in newtons, which are the SI unit of force.
. A project has an initial cost of $1,000 and returns $1,200 after one year. What is the net gain?
A. $100
B. $150
C. $200
D. $300
🟢 Correct answer: C. $200
🔴 RATIONALE: Net gain equals return minus initial cost, so 1200 − 1000 = 200.
. Which statement best reflects the engineer’s primary duty?
A. Maximize company profit first
B. Prioritize public health, safety, and welfare
C. Follow only client requests
D. Avoid all risk at any cost
🟢 Correct answer: B. Prioritize public health, safety, and welfare
, 🔴 RATIONALE: Ethical engineering practice places public health, safety, and welfare above competing
interests.
. A rigid body is in equilibrium when:
A. Net force is zero and net moment is zero
B. Velocity is zero only
C. Acceleration is zero only
D. Mass is constant only
🟢 Correct answer: A. Net force is zero and net moment is zero
🔴 RATIONALE: Static equilibrium requires both translational and rotational balance.
. If a car accelerates from rest at 2 m/s² for 5 s, what is its velocity?
A. 5 m/s
B. 7 m/s
C. 10 m/s
D. 12 m/s
🟢 Correct answer: C. 10 m/s
🔴 RATIONALE: Use v = at. Thus v = 2 × 5 = 10 m/s.
. Stress is defined as:
A. Force divided by area
B. Mass divided by volume
C. Work divided by time
D. Force multiplied by distance
CORRECT ANSWERS (VERIFIED ANSWERS) PLUS RATIONALES 2026 Q&A | INSTANT
DOWNLOAD PDF.
CORE DOMAINS
Mathematics and Statistics
Ethics and Professional Practice
Engineering Economics
Statics
Dynamics
Mechanics of Materials
Fluid Mechanics
Thermodynamics
Electrical Circuits
Engineering Economy and Safety
INTRODUCTION
This practice test is designed to assess the foundational engineering knowledge, problem-solving skill, and
professional judgment expected on the NCEES Fundamentals of Engineering exam. It emphasizes both direct
knowledge and application-based decision-making across core engineering subjects. The questions follow a
multiple-choice structure and include scenario-based prompts that reflect the kinds of calculations,
interpretations, and ethical judgments candidates must make under exam conditions. The goal is to
strengthen speed, accuracy, and confidence by reinforcing real-world engineering principles, professional
standards, and disciplined test-taking strategy.
, SECTION ONE: QUESTIONS 1–100
. What is the derivative of f (x) = 3x2 + 4x − 5?
A. 6x + 4
B. 3x + 4
C. 6x − 4
D. x2 + 4
🟢 Correct answer: A. 6x + 4
🔴 RATIONALE: Differentiate each term separately using the power rule; the derivative of 3x2 is 6x, the
derivative of 4x is 4, and the constant disappears.
. A vector has components 3 i and 4 j. What is its magnitude?
A. 5
B. 7
C. 1
D. 7
🟢 Correct answer: A. 5
🔴 RATIONALE: The magnitude is 32 + 42 = 5.
,. Which is the SI unit of force?
A. Joule
B. Newton
C. Watt
D. Pascal
🟢 Correct answer: B. Newton
🔴 RATIONALE: Force is measured in newtons, which are the SI unit of force.
. A project has an initial cost of $1,000 and returns $1,200 after one year. What is the net gain?
A. $100
B. $150
C. $200
D. $300
🟢 Correct answer: C. $200
🔴 RATIONALE: Net gain equals return minus initial cost, so 1200 − 1000 = 200.
. Which statement best reflects the engineer’s primary duty?
A. Maximize company profit first
B. Prioritize public health, safety, and welfare
C. Follow only client requests
D. Avoid all risk at any cost
🟢 Correct answer: B. Prioritize public health, safety, and welfare
, 🔴 RATIONALE: Ethical engineering practice places public health, safety, and welfare above competing
interests.
. A rigid body is in equilibrium when:
A. Net force is zero and net moment is zero
B. Velocity is zero only
C. Acceleration is zero only
D. Mass is constant only
🟢 Correct answer: A. Net force is zero and net moment is zero
🔴 RATIONALE: Static equilibrium requires both translational and rotational balance.
. If a car accelerates from rest at 2 m/s² for 5 s, what is its velocity?
A. 5 m/s
B. 7 m/s
C. 10 m/s
D. 12 m/s
🟢 Correct answer: C. 10 m/s
🔴 RATIONALE: Use v = at. Thus v = 2 × 5 = 10 m/s.
. Stress is defined as:
A. Force divided by area
B. Mass divided by volume
C. Work divided by time
D. Force multiplied by distance
