Fundamentals of Engineering (FE) Exam — Questions and Answers
Question 1: For a steel W-shape beam in AISC LRFD, the design flexural strength is φMn, where φ equals:
- 0.90 (Correct answer)
- 0.75
- 0.85
- 0.95
Correct answer: 0.90
For flexure in steel design per AISC 360, the resistance factor φb = 0.90.
Question 2: What type of supervision is required for Engineer Interns?
- No supervision is necessary once the intern starts working.
- Supervision from a licensed PE who ensures compliance with engineering standards.
- No formal supervision is required.
- Supervision from a manager without engineering experience.
Engineer Interns (EIs) are required to work under the direct supervision of a licensed Professional Engineer (PE). This supervision is essential to ensure that the EI's work adheres to professional engineering standards, ethical guidelines, and public safety considerations. The PE guides the EI's development, reviews their work, and ultimately verifies their experience for future licensure.
Question 3: Which type of structural connection is designed to transfer moment, shear, and axial force between connected members?
- Slotted hole connection
- Moment (rigid) connection (Correct answer)
- Shear tab connection
- Simple (pinned) connection
Correct answer: Moment (rigid) connection
A moment (rigid) connection is designed to resist and transfer bending moment, shear, and axial force, maintaining the angle between connected members.
Question 4: In Engineer Intern Certification, what role does safety regulations & osha compliance play in ensuring client/stakeholder satisfaction?
- It only matters during initial certification
- It replaces the need for direct communication
- It has no direct impact on stakeholder satisfaction
- It builds trust through demonstrated competence and consistency (Correct answer)
Correct answer: It builds trust through demonstrated competence and consistency
Safety Regulations & OSHA Compliance builds trust through demonstrated competence and consistency, which directly contributes to stakeholder satisfaction and confidence in the EI professional.
Question 5: Which of the following should be a focus area during your study sessions for the FE exam?
- Studying project management and time management only.
- Watching videos without solving practice problems.
- Focusing on solving practice problems and reviewing key concepts.
- Memorizing trivia and facts.
Focus on understanding fundamental engineering concepts and solving practice problems. Areas such as mathematics, physics, and ethics are heavily tested.
Question 6: What is the waiting period before a candidate may retake the FE exam after a failed attempt?
- No waiting period; retake immediately
- One full calendar year
- At least 60 days, with a maximum of 3 attempts per 12-month period (Correct answer)
- Must wait for the next annual testing window
Correct answer: At least 60 days, with a maximum of 3 attempts per 12-month period
NCEES policy requires a waiting period of at least 60 days between attempts, and candidates are limited to three attempts within any 12-month period.
Question 7: Where can you find official study materials for the FE exam?
- From social media platforms.
- From free, unofficial websites.
- From the NCEES website and official FE exam prep books.
- From online forums and study groups.
Official study materials for the FE exam are available through the **NCEES** website, which provides a range of practice exams, study guides, and reference materials.
Question 8: Which of the following is NOT a valid strategy for using the FE Reference Handbook during exam preparation?
- Using the digital PDF to simulate on-screen navigation
- Practicing navigating to relevant sections quickly
- Memorizing formulas so you don't need to look them up (Correct answer)
- Understanding the context of each equation in the handbook
Correct answer: Memorizing formulas so you don't need to look them up
Since the handbook is provided during the exam, memorizing formulas is less important than knowing how to quickly locate and correctly apply them.
Question 9: How should a EI professional handle a situation where safety regulations & osha compliance protocols conflict with practical constraints?
- Document the conflict and seek guidance from appropriate authorities (Correct answer)
- Make a unilateral decision without consultation
- Always ignore the protocols in favor of practicality
- Avoid addressing the conflict entirely
Correct answer: Document the conflict and seek guidance from appropriate authorities
When protocols conflict with practical constraints, the professional approach is to document the conflict and seek guidance, ensuring transparency and compliance while working toward a resolution.
Question 10: What is the significance of passing the FE exam in a specific discipline (e.g., FE Mechanical vs. FE Civil)?
- It has no bearing on future PE exam eligibility
- It grants automatic licensure in that engineering specialty
- It fulfills the exam requirement for EI certification and is noted in state records (Correct answer)
- It permanently restricts the engineer to practicing only that discipline
Correct answer: It fulfills the exam requirement for EI certification and is noted in state records
The discipline chosen for the FE exam is recorded but generally does not restrict which PE discipline a candidate may later pursue.
Question 11: What type of work experience qualifies for the Engineer Intern certification?
- Hands-on engineering tasks that are supervised by a licensed PE.
- Work performed under a manager with no engineering background.
- Any administrative or clerical work.
- Only field work with no supervision.
For work experience to qualify for Engineer Intern (EI) certification (or more accurately, for the experience required *after* EI to become a PE), it must involve hands-on engineering tasks. Crucially, this work must be performed under the direct supervision of a licensed Professional Engineer (PE). This ensures that the experience is relevant, technically sound, and contributes to the development of professional engineering judgment.
Question 12: What is the best way to start preparing for the FE exam?
- Start by taking practice exams.
- Begin by memorizing answers to common questions.
- Skip studying and focus only on time management skills.
- Review the exam outline and focus on key areas of weakness.
The first step in preparing for the FE exam is to review the exam outline and understand the topics that will be covered. From there, you can focus on reviewing core concepts from your undergraduate studies.
Question 13: What organization administers the FE exam required for Engineer Intern certification in the United States?
- NSPE
- ABET
- NCEES (Correct answer)
- ASCE
Correct answer: NCEES
NCEES (National Council of Examiners for Engineering and Surveying) develops and administers the FE exam.
Question 14: What role do practice exams play in FE exam preparation?
- They are crucial for familiarizing yourself with the exam format and identifying areas for improvement.
- They are not necessary if you have a solid understanding of the material.
- They are helpful only in the last week before the exam.
- They should be skipped to save time.
Practice exams simulate the test environment and allow you to identify areas where you need to improve. They also help build confidence and reinforce time management skills.
Question 15: For the FE Mechanical exam, which topic area related to thermal-fluid systems should receive priority study time?
- Environmental systems
- Structural analysis
- Geotechnical analysis
- Thermodynamics and heat transfer (Correct answer)
Correct answer: Thermodynamics and heat transfer
Thermodynamics and heat transfer combined are among the highest-weighted sections on the FE Mechanical exam specification.
Question 16: Which documentation practice BEST supports an EI's PE application experience record?
- Keeping pay stubs and W-2 forms from each employer
- Saving company org charts showing reporting structure
- Maintaining a detailed engineering journal logging specific tasks, decisions, and supervisors (Correct answer)
- Collecting general letters of recommendation from managers
Correct answer: Maintaining a detailed engineering journal logging specific tasks, decisions, and supervisors
A detailed engineering journal with specific technical tasks, decisions made, and supervisor information provides the strongest evidence of qualifying experience.
Question 17: In the context of environmental engineering, what does 'point source pollution' refer to?
- Pollution originating from agricultural runoff across large areas
- Air pollution dispersed from multiple urban sources
- Pollution discharged from a single, identifiable location (Correct answer)
- Groundwater contamination with no known origin
Correct answer: Pollution discharged from a single, identifiable location
Point source pollution comes from a discrete, identifiable outlet such as a pipe or outfall, as opposed to nonpoint source pollution which originates from diffuse areas.
Question 18: Which U.S. federal law is the primary statute governing the assessment of environmental impacts for major federal projects?
- Resource Conservation and Recovery Act (RCRA)
- Clean Water Act (CWA)
- Comprehensive Environmental Response Act (CERCLA)
- National Environmental Policy Act (NEPA) (Correct answer)
Correct answer: National Environmental Policy Act (NEPA)
NEPA, enacted in 1970, requires federal agencies to assess the environmental effects of their proposed actions prior to making decisions, using Environmental Impact Statements.
Question 19: How should a EI professional handle a situation where project scheduling & resource management protocols conflict with practical constraints?
- Document the conflict and seek guidance from appropriate authorities (Correct answer)
- Avoid addressing the conflict entirely
- Always ignore the protocols in favor of practicality
- Make a unilateral decision without consultation
Correct answer: Document the conflict and seek guidance from appropriate authorities
When protocols conflict with practical constraints, the professional approach is to document the conflict and seek guidance, ensuring transparency and compliance while working toward a resolution.
Question 20: Which of the following scenarios demonstrates that a PE is providing INADEQUATE supervision of an EI?
- The PE signs and seals work without reviewing the EI's technical analysis (Correct answer)
- The PE reviews design calculations before authorizing client submission
- The PE assigns the EI to progressively complex projects
- The PE discusses project challenges with the EI during weekly check-ins
Correct answer: The PE signs and seals work without reviewing the EI's technical analysis
A PE who seals documents without reviewing the underlying technical work is failing their supervisory duty and exposing the public to potential harm.
Question 21: Which of the following statements about entropy is correct according to the Second Law of Thermodynamics?
- Total entropy of an isolated system remains constant
- Total entropy of an isolated system can decrease spontaneously
- Total entropy of an isolated system always increases or stays the same (Correct answer)
- Entropy is conserved in all processes
Correct answer: Total entropy of an isolated system always increases or stays the same
The Second Law states that entropy of an isolated system always increases for irreversible processes and stays constant for reversible ones.
Question 22: What is the recommended minimum number of weeks candidates typically allocate for focused FE exam preparation?
- 8–12 weeks (Correct answer)
- 16–20 weeks
- 2–4 weeks
- 26–30 weeks
Correct answer: 8–12 weeks
Most successful candidates report 8–12 weeks of structured study as adequate, though individuals with weaker foundational knowledge may need more time.
Question 23: Which of the following resources is officially provided to FE candidates during the exam?
- NCEES FE Reference Handbook (digital) (Correct answer)
- Personal calculator of any type
- Pre-written formula sheets from a prep course
- Printed engineering textbooks
Correct answer: NCEES FE Reference Handbook (digital)
Only the digital NCEES FE Reference Handbook is provided on-screen during the computer-based exam; no external references are permitted.
Question 24: What is the role of review books in FE exam preparation?
- They are unnecessary if you’ve already studied the textbooks.
- They are essential for reviewing key concepts and practicing exam questions.
- They should be avoided, as they focus on irrelevant topics.
- They are only useful for those with high-level knowledge of the material.
Review books consolidate key concepts and provide practice questions that simulate the real exam, helping reinforce your understanding of the material.
Question 25: A truss joint has forces: 50 kN tension in member A (horizontal) and an unknown force in member B (vertical). If the joint is in equilibrium with no external load, what is the force in member B?
- 50 kN tension
- 0 kN (zero-force member) (Correct answer)
- 25 kN tension
- 50 kN compression
Correct answer: 0 kN (zero-force member)
Since no external force acts and member A is horizontal, member B carries zero force (zero-force member by inspection).
Question 26: After earning EI certification, what is the most important subsequent step for an engineer seeking full Professional Engineer (PE) licensure?
- Paying an annual renewal fee to maintain EI status permanently
- Completing a master's degree before applying for the PE exam
- Immediately retaking the FE exam in a different discipline
- Accumulating the required years of progressive engineering experience before taking the PE exam (Correct answer)
Correct answer: Accumulating the required years of progressive engineering experience before taking the PE exam
Most states require 4 years of qualifying engineering experience under a licensed PE before a candidate is eligible to take the PE exam.
Question 27: In Engineer Intern Certification, what role does project scheduling & resource management play in ensuring client/stakeholder satisfaction?
- It only matters during initial certification
- It replaces the need for direct communication
- It builds trust through demonstrated competence and consistency (Correct answer)
- It has no direct impact on stakeholder satisfaction
Correct answer: It builds trust through demonstrated competence and consistency
Project Scheduling & Resource Management builds trust through demonstrated competence and consistency, which directly contributes to stakeholder satisfaction and confidence in the EI professional.
Question 28: What is a recommended approach for tackling the FE exam questions?
- Focus only on solving complex problems first.
- Skip questions you don’t know and come back to them at the end.
- Answer all questions at random to finish quickly.
- Start with easier questions, then work through more difficult ones.
It’s recommended to start with questions you’re comfortable with to build confidence and save more time for difficult questions later. Keep track of the time and don’t get stuck on any one question.
Question 29: An EI works for two years in a research lab at a university under a licensed professor-PE. How is this experience typically evaluated?
- It is automatically disqualified because academia is not industry
- It counts double because academic research is more rigorous
- It requires a separate academic track application
- It may qualify if the work involved engineering analysis and the supervisor held a PE license (Correct answer)
Correct answer: It may qualify if the work involved engineering analysis and the supervisor held a PE license
Academic research experience can qualify if it involves substantive engineering work and the supervisor is a licensed PE who can verify the experience.
Question 30: Which entity ultimately grants Engineer Intern (EI) certification after a candidate passes the FE exam?
- The federal government
- The candidate's university
- The individual state licensing board (Correct answer)
- NCEES directly
Correct answer: The individual state licensing board
State licensing boards grant EI certification; NCEES administers the exam and transmits scores but does not issue the credential.
Question 31: What is the primary purpose of NCEES diagnostic information provided to candidates who fail the FE exam?
- To identify subject areas where performance was below the passing standard (Correct answer)
- To calculate how many more questions they needed to answer correctly
- To rank their performance against other candidates
- To provide a specific question-by-question breakdown
Correct answer: To identify subject areas where performance was below the passing standard
NCEES provides topic-level diagnostic feedback to failing candidates so they can focus their retake preparation on specific weak subject areas.
Question 32: In wastewater treatment, what is the function of the secondary treatment stage?
- Disinfect the effluent before discharge
- Remove heavy metals through chemical precipitation
- Screen out large solids and grit from raw sewage
- Remove dissolved and suspended biological matter through biological processes (Correct answer)
Correct answer: Remove dissolved and suspended biological matter through biological processes
Secondary treatment uses biological processes, such as activated sludge or trickling filters, to remove dissolved organic matter and suspended biological solids after primary settling.
Question 33: In Engineer Intern Certification, what role does quality control & inspection methods play in ensuring client/stakeholder satisfaction?
- It only matters during initial certification
- It builds trust through demonstrated competence and consistency (Correct answer)
- It has no direct impact on stakeholder satisfaction
- It replaces the need for direct communication
Correct answer: It builds trust through demonstrated competence and consistency
Quality Control & Inspection Methods builds trust through demonstrated competence and consistency, which directly contributes to stakeholder satisfaction and confidence in the EI professional.
Question 34: How many years of qualifying engineering experience are typically required by most U.S. states before an EI can apply for the PE exam?
- 3 years
- 6 years
- 2 years
- 4 years (Correct answer)
Correct answer: 4 years
Most U.S. states require four years of qualifying engineering experience under a licensed PE before an EI may sit for the PE exam.
Question 35: A student in their final semester of an ABET-accredited engineering program wishes to take the FE exam. Which statement is true?
- Only alumni with a GPA above 3.0 may apply before graduation
- They must wait until after graduation to be eligible
- Most states allow graduating seniors to apply before receiving their degree (Correct answer)
- They need 2 years of work experience first
Correct answer: Most states allow graduating seniors to apply before receiving their degree
Many state boards permit students in their final year of an accredited engineering program to sit for the FE exam before graduating.
Question 36: Accepting gifts or commissions from contractors in exchange for favorable project recommendations is a violation of which ethical standard?
- Prohibition against bribery and conflicts of interest (Correct answer)
- Prohibition against outside employment
- Duty to report accidents
- Requirement for continuing education
Correct answer: Prohibition against bribery and conflicts of interest
Accepting gifts or commissions that could influence engineering recommendations constitutes bribery and a conflict of interest, both of which are violations of professional engineering ethics codes.
Question 37: A 200 L tank contains an ideal gas at 300 K and 150 kPa. If the temperature is raised to 450 K at constant volume, what is the new pressure?
- 450 kPa
- 100 kPa
- 225 kPa (Correct answer)
- 300 kPa
Correct answer: 225 kPa
At constant volume, P/T = constant: P₂ = 150 × (450/300) = 225 kPa.
Question 38: Which of the following is an appropriate preparation strategy for the FE exam?
- Focusing exclusively on mathematics and physics.
- Studying a broad range of engineering topics and taking practice exams.
- Skipping the study of ethics and focusing only on technical subjects.
- Relying on last-minute cramming sessions.
Effective preparation involves reviewing key concepts from your engineering education, practicing sample questions, and familiarizing yourself with the format of the exam.
Question 39: Which quality improvement method is most applicable to quality control & inspection methods in Engineer Intern Certification?
- Ignoring feedback and maintaining status quo
- Implementing changes without measuring outcomes
- Plan-Do-Check-Act (PDCA) continuous improvement cycle (Correct answer)
- Making changes only when mandated by regulators
Correct answer: Plan-Do-Check-Act (PDCA) continuous improvement cycle
The PDCA cycle is widely recognized as the most effective quality improvement method, allowing EI professionals to systematically improve quality control & inspection methods practices.
Question 40: Which quality improvement method is most applicable to project scheduling & resource management in Engineer Intern Certification?
- Plan-Do-Check-Act (PDCA) continuous improvement cycle (Correct answer)
- Implementing changes without measuring outcomes
- Ignoring feedback and maintaining status quo
- Making changes only when mandated by regulators
Correct answer: Plan-Do-Check-Act (PDCA) continuous improvement cycle
The PDCA cycle is widely recognized as the most effective quality improvement method, allowing EI professionals to systematically improve project scheduling & resource management practices.
Question 41: Which documentation practice is most important for materials science & specifications in the EI field?
- Maintaining complete, accurate, and timely records (Correct answer)
- Recording only successful outcomes
- Using informal notes instead of official records
- Documenting only when legally required
Correct answer: Maintaining complete, accurate, and timely records
Maintaining complete, accurate, and timely records is crucial for accountability, quality assurance, and legal compliance in materials science & specifications.
Question 42: Do you need to complete additional exams after becoming an Engineer Intern?
- Yes, you must pass the PE exam before becoming an Engineer Intern.
- Yes, you need to take additional exams immediately after becoming an Engineer Intern.
- No, there are no further requirements after the FE exam.
- No, you do not need additional exams until you are ready to take the PE exam after gaining experience.
Becoming an Engineer Intern (EI) typically requires passing the Fundamentals of Engineering (FE) exam. After achieving EI status, the next major step towards becoming a Professional Engineer (PE) is to gain several years of supervised work experience. Only after fulfilling this experience requirement are you eligible and expected to take the Principles and Practice of Engineering (PE) exam.
Question 43: Which of the following best describes a key competency required for materials science & specifications in EI certification?
- Delegation of all complex tasks to supervisors
- Critical thinking and evidence-based decision making (Correct answer)
- Ability to work independently without any oversight
- Memorization of all relevant regulations verbatim
Correct answer: Critical thinking and evidence-based decision making
Critical thinking and evidence-based decision making is essential for materials science & specifications, as professionals must analyze situations and apply knowledge appropriately.
Question 44: Which parameter is commonly used to measure the strength of domestic wastewater for treatment design purposes?
- Turbidity
- pH level
- Biochemical Oxygen Demand (BOD) (Correct answer)
- Total Dissolved Solids (TDS)
Correct answer: Biochemical Oxygen Demand (BOD)
BOD measures the amount of oxygen consumed by biological organisms in decomposing organic matter, making it the standard indicator of wastewater organic strength.
Question 45: Euler's critical buckling load for a column with both ends pinned and length L is given by which formula?
- Pcr = 2π²EI / L²
- Pcr = π²EI / (2L²)
- Pcr = π²EI / (4L²)
- Pcr = π²EI / L² (Correct answer)
Correct answer: Pcr = π²EI / L²
For a pin-pin column, the effective length equals L and Pcr = π²EI/L², known as Euler's formula.
Question 46: Which sustainable design rating system is most commonly used for evaluating green buildings in the United States?
- BREEAM
- Living Building Challenge
- ENERGY STAR
- LEED (Leadership in Energy and Environmental Design) (Correct answer)
Correct answer: LEED (Leadership in Energy and Environmental Design)
LEED, developed by the U.S. Green Building Council, is the most widely used green building rating system in the U.S., covering categories such as energy, water, and materials.
Question 47: Which of the following best describes spaced repetition as a study technique for FE exam preparation?
- Spending equal time on each topic every day
- Revisiting material at increasing intervals over time (Correct answer)
- Reviewing all material once right before the exam
- Reading the textbook chapter by chapter without breaks
Correct answer: Revisiting material at increasing intervals over time
Spaced repetition leverages the psychological spacing effect, where reviewing material at increasing intervals improves long-term retention.
Question 48: Which factor most directly improves the quality of an EI's experience record for PE application?
- Working for a large Fortune 500 company
- Working in multiple states simultaneously
- Accumulating the highest salary possible
- Documenting specific engineering decisions and their outcomes (Correct answer)
Correct answer: Documenting specific engineering decisions and their outcomes
A strong experience record details specific engineering decisions, analyses, and outcomes that demonstrate engineering judgment, not just titles or employers.
Question 49: According to ASCE 7, which load combination governs for a building subjected to dead load (D) and live load (L) using strength design (LRFD)?
- 1.4D + 1.2L
- 0.9D + 1.6L
- 1.2D + 1.6L (Correct answer)
- 1.0D + 1.0L
Correct answer: 1.2D + 1.6L
The ASCE 7 LRFD combination 1.2D + 1.6L is typically the controlling factored load combination for gravity loads.
Question 50: What is the first step in the application process for Engineer Intern certification?
- Begin work experience immediately after graduation.
- Take the Professional Engineer (PE) exam.
- Submit application without completing any prerequisites.
- Complete an accredited engineering degree and pass the FE exam.
The first step is completing an accredited engineering degree, followed by passing the Fundamentals of Engineering (FE) exam to qualify for certification.
Question 51: Which statement about out-of-state work experience is most accurate when applying for PE licensure?
- Only experience gained in the state where you are applying counts
- Work experience outside your home state requires a separate waiver
- Foreign work experience is always disqualified
- Experience gained in any U.S. state under a licensed PE generally qualifies (Correct answer)
Correct answer: Experience gained in any U.S. state under a licensed PE generally qualifies
Most state boards accept qualifying engineering experience earned anywhere in the U.S. as long as it was performed under the supervision of a licensed PE.
Question 52: An EI overhears a colleague taking credit for another engineer's design in a client meeting. The ethical response is to:
- Report it directly to the client without internal discussion
- Privately address the misrepresentation with the colleague or supervisor (Correct answer)
- Interrupt the meeting to correct the record publicly
- Ignore it as an internal team matter
Correct answer: Privately address the misrepresentation with the colleague or supervisor
Engineers must not allow misrepresentation of professional work; addressing the issue privately first is the ethical and professional course of action.
Question 53: Which law states that the total pressure of a gas mixture equals the sum of partial pressures of each component?
- Boyle's Law
- Dalton's Law (Correct answer)
- Raoult's Law
- Henry's Law
Correct answer: Dalton's Law
Dalton's Law of partial pressures states that total pressure equals the sum of each component's partial pressure.
Question 54: The Taylor series expansion of e^x about x = 0 is:
- x − x³/3! + x⁵/5! − ...
- 1 + x + x²/2! + x³/3! + ... (Correct answer)
- x + x²/2 + x³/3 + ...
- 1 − x + x²/2! − x³/3! + ...
Correct answer: 1 + x + x²/2! + x³/3! + ...
The Maclaurin series for e^x is the sum from n=0 to ∞ of xⁿ/n! = 1 + x + x²/2! + x³/3! + ...
Question 55: When implementing materials science & specifications practices, what should a EI professional prioritize first?
- Personal convenience and efficiency
- Cost reduction at all levels
- Speed of completion over thoroughness
- Compliance with established standards and protocols (Correct answer)
Correct answer: Compliance with established standards and protocols
Compliance with established standards and protocols must be the first priority, as it ensures safety, quality, and legal adherence in professional practice.
Question 56: In engineering economics, a project has a first cost of $50,000 and annual net benefits of $12,000 for 6 years at 8% interest. The benefit-cost ratio is closest to:
- 1.44
- 0.93
- 1.14 (Correct answer)
- 1.72
Correct answer: 1.14
PW of benefits = 12,000 × (P/A, 8%, 6) = 12,000 × 4.623 = $55,476; BCR = 55,476/50,000 ≈ 1.11, closest to 1.14.
Question 57: What is the significance of peer review in quality control & inspection methods for EI professionals?
- It replaces the need for self-assessment
- It promotes accountability, knowledge sharing, and quality improvement (Correct answer)
- It is primarily used for disciplinary purposes
- It is only relevant for newly certified professionals
Correct answer: It promotes accountability, knowledge sharing, and quality improvement
Peer review promotes accountability, knowledge sharing, and quality improvement by allowing EI professionals to benefit from collective expertise and identify areas for growth.
Question 58: What is the primary distinction between a 'wetland' and other water bodies under the Clean Water Act?
- Wetlands are areas saturated by water that support hydrophytic vegetation (Correct answer)
- Wetlands are defined solely by water depth exceeding six inches
- Wetlands are bodies of standing water with no outlet
- Wetlands only include coastal marshes and tidal zones
Correct answer: Wetlands are areas saturated by water that support hydrophytic vegetation
Under the CWA, wetlands are characterized by three criteria: hydric soils, hydrophytic vegetation, and hydrological conditions, not simply water depth or location.
Question 59: What is the role of an Engineer Intern during their work experience?
- To focus on administrative duties and clerical work.
- To work independently without supervision.
- To supervise other interns and manage projects.
- To gain hands-on engineering experience under the supervision of a licensed PE.
The primary role of an Engineer Intern (EI) during their work experience is to actively gain practical, hands-on engineering experience. This experience is critical for developing professional competence and must be performed under the direct supervision and mentorship of a licensed Professional Engineer (PE). This supervised learning environment prepares the EI for the responsibilities of a PE.
Question 60: For FE exam candidates with engineering degrees from ABET-accredited programs, what is the typical GPA or academic requirement set by most state boards to sit for the FE?
- Must be in the top 25% of graduating class
- No minimum GPA; degree completion or enrollment is sufficient (Correct answer)
- Minimum 2.5 GPA required
- Minimum 3.0 GPA required
Correct answer: No minimum GPA; degree completion or enrollment is sufficient
Most state boards require only that a candidate be enrolled in or have graduated from an ABET-accredited engineering program, with no GPA minimum specified.
Question 61: What ethical consideration is most relevant to materials science & specifications in EI practice?
- Prioritizing personal advancement over professional duties
- Following only those rules that are convenient
- Avoiding all professional development activities
- Maintaining confidentiality and acting in the best interest of stakeholders (Correct answer)
Correct answer: Maintaining confidentiality and acting in the best interest of stakeholders
Maintaining confidentiality and acting in the best interest of stakeholders is the cornerstone ethical consideration for materials science & specifications in professional practice.
Question 62: What is the role of a 'Verification of Enrollment' or official transcript in the FE exam application process?
- It must be submitted after passing the exam, not before
- It replaces the need for a government-issued ID at the testing center
- It is required only for international students
- It documents that the applicant meets the educational requirements set by the state board (Correct answer)
Correct answer: It documents that the applicant meets the educational requirements set by the state board
Official transcripts or enrollment verification confirm that an applicant's education meets the minimum requirements for taking the FE exam in their state.
Question 63: When can a candidate first view their FE exam score after completing the test?
- Within 7-10 business days via the NCEES portal (Correct answer)
- Only after submitting a PE application
- Immediately upon finishing the exam
- After the state board manually reviews results, typically 6 months later
Correct answer: Within 7-10 business days via the NCEES portal
FE exam results are typically released within 7-10 business days and are accessible through the candidate's NCEES MyNCEES account.
Question 64: What is a 'Character Reference' often required in an EI or PE state board application?
- A credit report submitted to the state board
- A letter from a college professor confirming GPA
- An NCEES verification of exam scores
- A professional or personal reference attesting to the applicant's ethical character and integrity (Correct answer)
Correct answer: A professional or personal reference attesting to the applicant's ethical character and integrity
Character references are letters from individuals who can vouch for the applicant's honesty and professional conduct, as engineering licensure is tied to public safety.
Question 65: Which of the following is NOT a topic covered in the FE exam?
- Advanced project management
- Mathematics
- Mechanics
- Engineering ethics
The FE exam covers a wide range of subjects, including mathematics, ethics, and specific engineering disciplines. Certain topics like advanced project management are excluded.
Question 66: The derivative of ln(x) with respect to x is:
- e^x
- x·ln(x)
- 1/x (Correct answer)
- ln(x)/x
Correct answer: 1/x
d/dx[ln(x)] = 1/x for x > 0.
Question 67: How should you prepare for the technical subjects in the FE exam?
- By focusing on understanding key concepts and solving practice problems.
- By watching video tutorials and skipping textbook studies.
- By studying only the topics you are already confident in.
- By memorizing answers without understanding the concepts.
Reviewing textbooks, taking practice quizzes, and focusing on areas of weakness will help reinforce knowledge of technical subjects for the FE exam.
Question 68: What ethical consideration is most relevant to quality control & inspection methods in EI practice?
- Prioritizing personal advancement over professional duties
- Maintaining confidentiality and acting in the best interest of stakeholders (Correct answer)
- Following only those rules that are convenient
- Avoiding all professional development activities
Correct answer: Maintaining confidentiality and acting in the best interest of stakeholders
Maintaining confidentiality and acting in the best interest of stakeholders is the cornerstone ethical consideration for quality control & inspection methods in professional practice.
Question 69: For a three-phase balanced Y-connected system, the relationship between line voltage (VL) and phase voltage (Vφ) is:
- VL = Vφ
- VL = Vφ/√3
- VL = √3 · Vφ (Correct answer)
- VL = 3 · Vφ
Correct answer: VL = √3 · Vφ
In a Y-connected system, line voltage leads phase voltage by 30° and VL = √3 · Vφ.
Question 70: Which engineering economics concept is most critical to master for the FE exam?
- Capital budgeting ratios
- Supply chain optimization
- Sunk cost fallacy
- Time value of money (Correct answer)
Correct answer: Time value of money
Time value of money — including present worth, future worth, and annual worth calculations — is the cornerstone of engineering economics questions on the FE exam.
Question 71: Which ethical principle requires engineers to act as faithful agents of their clients while also protecting the public?
- Dual obligation to client and public (Correct answer)
- Employer sovereignty
- Absolute client confidentiality
- Engineer-client privilege
Correct answer: Dual obligation to client and public
Engineers owe fidelity to clients and employers, but this duty is subordinate to the overriding obligation to protect public health, safety, and welfare.
Question 72: Which federal agency has primary responsibility for enforcing environmental laws such as NEPA, the Clean Water Act, and RCRA in the United States?
- Department of the Interior (DOI)
- Army Corps of Engineers (USACE)
- Environmental Protection Agency (EPA) (Correct answer)
- Federal Emergency Management Agency (FEMA)
Correct answer: Environmental Protection Agency (EPA)
The EPA is the primary federal agency responsible for creating and enforcing environmental regulations and ensuring compliance with major environmental statutes.
Question 73: What ethical consideration is most relevant to safety regulations & osha compliance in EI practice?
- Prioritizing personal advancement over professional duties
- Avoiding all professional development activities
- Following only those rules that are convenient
- Maintaining confidentiality and acting in the best interest of stakeholders (Correct answer)
Correct answer: Maintaining confidentiality and acting in the best interest of stakeholders
Maintaining confidentiality and acting in the best interest of stakeholders is the cornerstone ethical consideration for safety regulations & osha compliance in professional practice.
Question 74: Which FE exam discipline should a computer engineering graduate most likely choose?
- FE Electrical and Computer Engineering (Correct answer)
- FE Other Disciplines
- FE Industrial and Systems Engineering
- FE Civil
Correct answer: FE Electrical and Computer Engineering
The FE Electrical and Computer Engineering exam covers topics most aligned with a computer engineering curriculum.
Question 75: What is the approximate number of questions on the FE exam?
- 150
- 110 (Correct answer)
- 200
- 75
Correct answer: 110
The FE exam contains 110 questions across all disciplines, to be completed within the allotted 6-hour testing session.
Question 76: Which documentation practice is most important for quality control & inspection methods in the EI field?
- Using informal notes instead of official records
- Recording only successful outcomes
- Maintaining complete, accurate, and timely records (Correct answer)
- Documenting only when legally required
Correct answer: Maintaining complete, accurate, and timely records
Maintaining complete, accurate, and timely records is crucial for accountability, quality assurance, and legal compliance in quality control & inspection methods.
Question 77: Which quality improvement method is most applicable to safety regulations & osha compliance in Engineer Intern Certification?
- Making changes only when mandated by regulators
- Ignoring feedback and maintaining status quo
- Plan-Do-Check-Act (PDCA) continuous improvement cycle (Correct answer)
- Implementing changes without measuring outcomes
Correct answer: Plan-Do-Check-Act (PDCA) continuous improvement cycle
The PDCA cycle is widely recognized as the most effective quality improvement method, allowing EI professionals to systematically improve safety regulations & osha compliance practices.
Question 78: Which of the following best describes a key competency required for project scheduling & resource management in EI certification?
- Critical thinking and evidence-based decision making (Correct answer)
- Delegation of all complex tasks to supervisors
- Ability to work independently without any oversight
- Memorization of all relevant regulations verbatim
Correct answer: Critical thinking and evidence-based decision making
Critical thinking and evidence-based decision making is essential for project scheduling & resource management, as professionals must analyze situations and apply knowledge appropriately.
Question 79: Which study habit has been shown to be LEAST effective for long-term retention of engineering concepts?
- Elaborative interrogation (asking 'why' questions)
- Self-testing with practice problems
- Interleaved practice across multiple topics
- Re-reading notes or textbooks passively (Correct answer)
Correct answer: Re-reading notes or textbooks passively
Passive re-reading creates an illusion of familiarity without building retrieval strength, making it the least effective study strategy for durable learning.
Question 80: Which quality improvement method is most applicable to materials science & specifications in Engineer Intern Certification?
- Implementing changes without measuring outcomes
- Plan-Do-Check-Act (PDCA) continuous improvement cycle (Correct answer)
- Making changes only when mandated by regulators
- Ignoring feedback and maintaining status quo
Correct answer: Plan-Do-Check-Act (PDCA) continuous improvement cycle
The PDCA cycle is widely recognized as the most effective quality improvement method, allowing EI professionals to systematically improve materials science & specifications practices.
Question 81: Which of the following best defines 'responsible charge' as it applies to PE supervision of an EI?
- Signing timesheets and approving expense reports
- Control and direction of engineering work, with authority and accountability for its outcome (Correct answer)
- Being the highest-paid engineer on a project
- Physical presence at all project site visits
Correct answer: Control and direction of engineering work, with authority and accountability for its outcome
Responsible charge means the PE has direct control over the engineering work and bears professional accountability for its correctness and safety.
Question 82: The Laplace transform of the unit step function u(t) is:
- s
- 1/s²
- e^(-s)
- 1/s (Correct answer)
Correct answer: 1/s
The Laplace transform of the unit step function u(t) is 1/s.
Question 83: Which organization publishes the Code of Ethics most relevant to licensed engineers in the United States?
- IEEE
- ASCE
- NSPE (Correct answer)
- ASME
Correct answer: NSPE
The National Society of Professional Engineers (NSPE) publishes the Code of Ethics for Engineers, which is widely adopted across U.S. licensing boards.
Question 84: How should a EI professional handle a situation where materials science & specifications protocols conflict with practical constraints?
- Always ignore the protocols in favor of practicality
- Make a unilateral decision without consultation
- Document the conflict and seek guidance from appropriate authorities (Correct answer)
- Avoid addressing the conflict entirely
Correct answer: Document the conflict and seek guidance from appropriate authorities
When protocols conflict with practical constraints, the professional approach is to document the conflict and seek guidance, ensuring transparency and compliance while working toward a resolution.
Question 85: What is the significance of peer review in materials science & specifications for EI professionals?
- It is only relevant for newly certified professionals
- It promotes accountability, knowledge sharing, and quality improvement (Correct answer)
- It is primarily used for disciplinary purposes
- It replaces the need for self-assessment
Correct answer: It promotes accountability, knowledge sharing, and quality improvement
Peer review promotes accountability, knowledge sharing, and quality improvement by allowing EI professionals to benefit from collective expertise and identify areas for growth.
Question 86: When implementing safety regulations & osha compliance practices, what should a EI professional prioritize first?
- Compliance with established standards and protocols (Correct answer)
- Speed of completion over thoroughness
- Personal convenience and efficiency
- Cost reduction at all levels
Correct answer: Compliance with established standards and protocols
Compliance with established standards and protocols must be the first priority, as it ensures safety, quality, and legal adherence in professional practice.
Question 87: Which type of work experience is generally given the LEAST credit toward PE licensure?
- Purely administrative or sales roles with no engineering content (Correct answer)
- Geotechnical testing and reporting
- Design work on infrastructure projects
- Construction observation under a licensed PE
Correct answer: Purely administrative or sales roles with no engineering content
Roles with no substantive engineering content, such as sales or administrative positions, do not satisfy engineering experience requirements.
Question 88: A study group for FE exam preparation is most beneficial when members:
- Simply meet to motivate each other without structured review
- Focus only on the topics they individually find easy
- Divide topics so each member only studies one area
- Quiz each other and explain concepts to peers (Correct answer)
Correct answer: Quiz each other and explain concepts to peers
Teaching concepts to peers and quizzing each other reinforces understanding and exposes gaps in knowledge more effectively than passive review.
Question 89: An EI has four years of experience but only two were under the direct supervision of a licensed PE. How will most state boards likely assess this?
- All four years will count equally
- Only the two years under a PE will likely qualify toward the experience requirement (Correct answer)
- The EI will automatically qualify because total years meet the threshold
- The EI may apply with reduced exam fees
Correct answer: Only the two years under a PE will likely qualify toward the experience requirement
Most states require that qualifying experience be performed under the supervision of a licensed PE; unsupervised years generally do not satisfy the requirement.
Question 90: A projectile is launched at 30° above horizontal with an initial speed of 40 m/s. What is the horizontal range (g = 10 m/s²)?
- 160 m
- 120 m
- 138.6 m (Correct answer)
- 80 m
Correct answer: 138.6 m
Range R = V₀²sin(2θ)/g = (40²)(sin60°)/10 = 1600(0.866)/10 ≈ 138.6 m.
Question 91: How does a candidate officially verify that their FE exam scores have been received by their state licensing board?
- By waiting for a physical certificate in the mail
- By logging into the Pearson VUE website
- By checking the state board's applicant portal or contacting the board directly (Correct answer)
- By calling NCEES headquarters
Correct answer: By checking the state board's applicant portal or contacting the board directly
Candidates verify score receipt by checking their application status through the state licensing board's portal or by contacting the board.
Question 92: What is a common challenge professionals face when applying safety regulations & osha compliance principles in Engineer Intern Certification?
- Balancing theoretical knowledge with practical application (Correct answer)
- Excessive simplicity of industry regulations
- Having too much support from colleagues
- Lack of any professional development opportunities
Correct answer: Balancing theoretical knowledge with practical application
Balancing theoretical knowledge with practical application is a well-recognized challenge, as real-world scenarios often present complexities not covered in standard training.
Question 93: The factor of safety (FS) is defined as which of the following?
- Elastic modulus divided by applied strain
- Working stress divided by ultimate stress
- Ultimate (or yield) stress divided by allowable stress (Correct answer)
- Allowable load divided by applied load
Correct answer: Ultimate (or yield) stress divided by allowable stress
FS = Failure stress (ultimate or yield) / Allowable stress, ensuring that the design stress remains well below the failure point.
Question 94: Which condition must be satisfied for a structure to be in static equilibrium?
- The sum of all moments equals zero only
- The sum of all forces equals the sum of all moments
- Both the sum of all forces and the sum of all moments equal zero (Correct answer)
- The sum of all forces equals zero only
Correct answer: Both the sum of all forces and the sum of all moments equal zero
Static equilibrium requires ΣF = 0 (in all directions) and ΣM = 0 about any point simultaneously.
Question 95: Which technology trend is most likely to impact quality control & inspection methods in the EI field in coming years?
- Return to exclusively paper-based systems
- Reduction in the need for professional certification
- Digital tools for enhanced data collection, analysis, and reporting (Correct answer)
- Complete elimination of human professionals
Correct answer: Digital tools for enhanced data collection, analysis, and reporting
Digital tools for enhanced data collection, analysis, and reporting represent the most significant and practical technology trend impacting quality control & inspection methods, augmenting rather than replacing professional expertise.
Question 96: How many years of work experience are required to transition from Engineer Intern (EI) to Professional Engineer (PE)?
- Four years
- Three years
- Five years
- Two years
In most U.S. states, the standard requirement to transition from an Engineer Intern (EI) to a Professional Engineer (PE) is four years of progressive engineering experience acquired under the supervision of a licensed PE. This experience must be documented and verified by supervising PEs, demonstrating the applicant's development of professional competence. Some states may have slightly different requirements, but four years is the most common.
Question 97: In a series RLC circuit at resonance, the impedance is:
- Equal to L/C
- Equal to R only (Correct answer)
- Maximum
- Zero
Correct answer: Equal to R only
At resonance, inductive and capacitive reactances cancel, so impedance Z = R.
Question 98: An EI is asked by their employer to falsify test data in a report. What should the EI do?
- Refuse and report the request if necessary (Correct answer)
- Comply since the employer has authority
- Alter only minor data points
- Submit the report anonymously
Correct answer: Refuse and report the request if necessary
Falsifying engineering data is unethical and potentially illegal; an EI must refuse and escalate through proper channels to protect public safety and professional integrity.
Question 99: For the FE Electrical and Computer Engineering exam, which topic area is most heavily emphasized?
- Geotechnical Engineering
- Fluid Mechanics
- Circuit Analysis (Correct answer)
- Thermodynamics
Correct answer: Circuit Analysis
Circuit Analysis, including AC/DC circuits, is a core heavily weighted topic on the FE Electrical and Computer Engineering exam.
Question 100: In Engineer Intern Certification, what role does materials science & specifications play in ensuring client/stakeholder satisfaction?
- It builds trust through demonstrated competence and consistency (Correct answer)
- It has no direct impact on stakeholder satisfaction
- It replaces the need for direct communication
- It only matters during initial certification
Correct answer: It builds trust through demonstrated competence and consistency
Materials Science & Specifications builds trust through demonstrated competence and consistency, which directly contributes to stakeholder satisfaction and confidence in the EI professional.
Question 101: A beam has a shear force V, first moment of area Q, moment of inertia I, and width b at a cross-section. The horizontal shear stress is:
- τ = VQ/Ib (Correct answer)
- τ = VI/Qb
- τ = Vb/QI
- τ = VIb/Q
Correct answer: τ = VQ/Ib
The shear formula τ = VQ/(Ib) gives the average horizontal shear stress at a given level in a beam.
Question 102: During the FE exam check-in process, what biometric data does Pearson VUE typically collect?
- Blood type and DNA sample
- Palm vein scan and digital photograph (Correct answer)
- Eye color and height measurement
- Fingerprint and voice recording
Correct answer: Palm vein scan and digital photograph
Pearson VUE collects a palm vein scan and a digital photograph as biometric identifiers during check-in for high-stakes exams.
Question 103: If an Engineer Intern signs and seals documents without being under the responsible charge of a licensed PE, this action is best described as:
- An administrative violation only
- Unlicensed practice of engineering (Correct answer)
- Acceptable if the EI is highly experienced
- Permitted for routine technical drawings
Correct answer: Unlicensed practice of engineering
Only licensed Professional Engineers may sign and seal engineering documents; an EI doing so constitutes unlicensed practice, which is illegal in all U.S. states.
Question 104: In material science, ductile fracture is characterized by:
- Significant plastic deformation and necking (Correct answer)
- Sudden catastrophic failure
- Little to no plastic deformation before fracture
- Transgranular cleavage
Correct answer: Significant plastic deformation and necking
Ductile fracture involves considerable plastic deformation, necking, and energy absorption before failure.
Question 105: Can international engineering degrees be used for the Engineer Intern application?
- Yes, but they need to be evaluated for equivalency.
- No, only U.S. degrees are accepted.
- No, foreign degrees are never accepted.
- Yes, without any additional steps.
Many state licensing boards accept international engineering degrees for Engineer Intern (EI) certification, but they require an evaluation to determine if the degree is academically equivalent to an ABET-accredited U.S. engineering degree. This evaluation ensures that the applicant's educational background meets the rigorous standards necessary for professional engineering practice. Organizations like NCEES often provide or recommend such evaluation services.
Question 106: What are the two primary components of the FE exam?
- Mathematics and ethics.
- General engineering and discipline-specific knowledge.
- Project management and technical design.
- Theory and practical application.
The FE exam consists of a morning session that tests general engineering knowledge and a specialized afternoon session based on the candidate’s chosen engineering discipline.
Question 107: What is the primary purpose of safety regulations & osha compliance in the context of Engineer Intern Certification?
- To replace established industry guidelines
- To eliminate the need for ongoing training
- To reduce organizational costs exclusively
- To ensure consistent quality and professional accountability (Correct answer)
Correct answer: To ensure consistent quality and professional accountability
Safety Regulations & OSHA Compliance in Engineer Intern Certification primarily ensures consistent quality and professional accountability, forming the foundation of competent practice in this field.
Question 108: How does continuing education relate to materials science & specifications for EI certified professionals?
- It is required only for entry-level practitioners
- It is only needed when changing employers
- It is optional and rarely impacts practice quality
- It ensures professionals stay current with evolving standards and best practices (Correct answer)
Correct answer: It ensures professionals stay current with evolving standards and best practices
Continuing education ensures EI professionals stay current with evolving standards, technologies, and best practices in materials science & specifications, maintaining competency throughout their careers.
Question 109: What is the moment of inertia of a solid circular cross-section of diameter d about its centroidal axis?
- πd⁴/32
- πd²/4
- πd⁴/64 (Correct answer)
- πd³/32
Correct answer: πd⁴/64
The area moment of inertia of a solid circle is I = πd⁴/64.
Question 110: How much time should you spend each week studying for the FE exam?
- Studying for an hour a day for a month.
- Studying only the night before the exam.
- 10-15 hours per week for several months.
- 10 hours one week before the exam.
The amount of study time depends on your familiarity with the material, but a consistent study schedule of 10-15 hours per week is often recommended to adequately prepare for the exam.
Question 111: What is the primary purpose of project scheduling & resource management in the context of Engineer Intern Certification?
- To ensure consistent quality and professional accountability (Correct answer)
- To replace established industry guidelines
- To eliminate the need for ongoing training
- To reduce organizational costs exclusively
Correct answer: To ensure consistent quality and professional accountability
Project Scheduling & Resource Management in Engineer Intern Certification primarily ensures consistent quality and professional accountability, forming the foundation of competent practice in this field.
Question 112: For a rectangular cross-section of width b and height h, the moment of inertia about the centroidal horizontal axis is:
- bh³/6
- b³h/12
- bh²/6
- bh³/12 (Correct answer)
Correct answer: bh³/12
The moment of inertia of a rectangle about its centroidal x-axis is I = bh³/12.
Fundamentals of Engineering (FE) Exam
The FE exam is the first step toward professional engineering licensure, designed for recent graduates and students close to graduation, assessing fundamental engineering knowledge.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds