100+ Free FE Other Disciplines Practice Questions

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Question 1

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What is the derivative of f(x) = 3x^4 - 5x^2 + 7 with respect to x?

12x^3 - 10x

12x^3 - 10x + 7

3x^3 - 5x

12x^4 - 10x^2

to track

2026 Statistics

Key Facts: FE Other Disciplines Exam

110

Exam Questions

NCEES

5h 20m

Exam Duration

NCEES

$175

Exam Fee

NCEES

~60%

First-Time Pass Rate

NCEES

Year-Round

Testing Window

Pearson VUE CBT

Open Handbook

Reference

On-screen NCEES PDF

FE Other Disciplines has 110 questions in 5 hours 20 minutes (5h 20m total appointment includes a 25-minute break). The $175 NCEES fee covers the CBT exam at Pearson VUE. The on-screen, searchable NCEES FE Reference Handbook is the only reference allowed. Pass rates run roughly 57-65% for first-time takers.

Sample FE Other Disciplines Practice Questions

Try these sample questions to test your FE Other Disciplines exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the derivative of f(x) = 3x^4 - 5x^2 + 7 with respect to x?

A.12x^3 - 10x

B.12x^3 - 10x + 7

C.3x^3 - 5x

D.12x^4 - 10x^2

Explanation: Apply the power rule term-by-term: d/dx[3x^4] = 12x^3, d/dx[-5x^2] = -10x, and the derivative of the constant 7 is 0. So f'(x) = 12x^3 - 10x.

2Evaluate the definite integral of (2x + 3) dx from x = 0 to x = 4.

A.20

B.28

C.16

D.24

Explanation: Antiderivative is x^2 + 3x. Evaluating from 0 to 4: (16 + 12) - (0 + 0) = 28.

3For matrices A (3x2) and B (2x4), what is the dimension of the product AB?

A.3x4

B.2x2

C.4x3

D.Undefined

Explanation: When multiplying an m x n matrix by an n x p matrix, the inner dimensions must match (n=2 here) and the result is m x p = 3 x 4.

4Find the determinant of the 2x2 matrix [[4, 3], [2, 5]].

A.14

B.20

C.26

D.6

Explanation: For a 2x2 matrix [[a,b],[c,d]], det = ad - bc = (4)(5) - (3)(2) = 20 - 6 = 14.

5Solve the first-order ODE dy/dx + 2y = 0 with y(0) = 5.

A.y = 5e^(-2x)

B.y = 5e^(2x)

C.y = 5 - 2x

D.y = 5x e^(-2x)

Explanation: This is a separable linear ODE with solution y = Ce^(-2x). Applying y(0) = 5 gives C = 5, so y = 5e^(-2x).

6What is the Taylor series expansion of e^x about x = 0 (Maclaurin series), keeping terms through x^3?

A.1 + x + x^2/2 + x^3/6

B.1 + x + x^2 + x^3

C.x + x^2/2 + x^3/3

D.1 - x + x^2/2 - x^3/6

Explanation: The Maclaurin series for e^x is the sum of x^n/n!: 1 + x + x^2/2! + x^3/3! = 1 + x + x^2/2 + x^3/6.

7If vectors A = 3i + 4j and B = 2i - j, what is A . B (dot product)?

A.2

B.10

C.5

D.-2

Explanation: Dot product A . B = AxBx + AyBy = (3)(2) + (4)(-1) = 6 - 4 = 2.

8What is the gradient of f(x,y) = x^2*y + 3y^2 at the point (1, 2)?

A.4i + 13j

B.2xy*i + (x^2+6y)*j

C.4i + 12j

D.2i + 13j

Explanation: df/dx = 2xy and df/dy = x^2 + 6y. At (1,2): df/dx = 2(1)(2) = 4 and df/dy = 1 + 12 = 13. So gradient = 4i + 13j.

9Using Euler's method with step size h = 0.1, estimate y(0.1) for dy/dx = x + y, y(0) = 1.

A.1.1

B.1.2

C.1.05

D.1.21

Explanation: Euler step: y_new = y_old + h*f(x_old, y_old) = 1 + 0.1*(0 + 1) = 1 + 0.1 = 1.1. Euler is a first-order method that uses the slope at the current point only.

10Find all real roots of the equation x^2 - 5x + 6 = 0.

A.2 and 3

B.1 and 6

C.-2 and -3

D.5 and 6

Explanation: Factoring: (x - 2)(x - 3) = 0, so x = 2 or x = 3. Verify: 2*3 = 6 (constant) and 2+3 = 5 (negative of linear coeff).

About the FE Other Disciplines Exam

The FE Other Disciplines exam is the general Fundamentals of Engineering exam for graduates of engineering programs whose discipline is not covered by a specialty FE exam (e.g., biomedical, biological, optical, nuclear, software, agricultural). It is a 110-question computer-based test administered year-round at Pearson VUE centers. Passing earns the Engineer Intern (EI) or EIT designation, the first step toward PE licensure.

Questions

110 scored questions

Time Limit

5 hours 20 minutes

Passing Score

Scaled (no published cut score)

Exam Fee

$175 (NCEES (Pearson VUE))

FE Other Disciplines Exam Content Outline

9-14%

Mathematics & Statistics

Analytic geometry, calculus, differential equations, linear algebra, numerical methods

5-8%

Probability & Statistics

PMF/PDF, expected value, hypothesis testing, regression, confidence intervals

7-11%

Chemistry

Stoichiometry, equilibrium, gas laws, oxidation/reduction, periodic properties

4-6%

Instrumentation & Data Acquisition

Sensors, sampling, accuracy/precision, signal conditioning, A/D conversion

3-5%

Ethics & Professional Practice

NCEES Model Rules, public protection, conflicts of interest, intellectual property

4-6%

Safety, Health & Environment

Industrial hygiene, PPE, OSHA basics, environmental regulations, hazard assessment

7-11%

Engineering Economics

Time value of money, present/annual worth, rate of return, B/C ratio, depreciation

8-12%

Statics & Dynamics

FBDs, equilibrium, trusses, friction, kinematics, work-energy, momentum

8-12%

Strength of Materials

Axial, torsional, bending, combined stress; deflection; columns; Mohr's circle

4-6%

Materials Science

Phase diagrams, mechanical properties, heat treatment, corrosion, polymers/ceramics

8-12%

Fluid Mechanics

Continuity, Bernoulli, friction losses, pumps, dimensional analysis, gas dynamics

7-11%

Electricity, Power & Magnetism

Ohm's/Kirchhoff's laws, AC analysis, three-phase basics, magnetic fields, transformers

7-11%

Heat, Mass & Energy Transfer

Conduction (Fourier), convection (Newton's law), radiation, ideal gas, thermodynamics cycles

How to Pass the FE Other Disciplines Exam

What You Need to Know

Passing score: Scaled (no published cut score)
Exam length: 110 questions
Time limit: 5 hours 20 minutes
Exam fee: $175

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

FE Other Disciplines Study Tips from Top Performers

1Download the free NCEES FE Reference Handbook (current edition) and study every section that maps to FE Other topics

2Practice using only the searchable PDF — flipping through the handbook on screen is a learnable skill

3Drill engineering economics: PV/FV, annual worth, IRR, B/C ratio, depreciation (MACRS, SL)

4Memorize the NCEES Model Rules ethics canons — fundamental obligation is public health, safety, and welfare

5Review unit consistency every problem — FE Other mixes SI and US Customary units freely

6Practice statics free-body diagrams and dynamics work-energy/momentum until they're automatic

7Build fluency with Ohm's law, Kirchhoff's laws, and three-phase power basics — about 8% of the exam

8Spend extra time on chemistry stoichiometry and gas laws if you didn't take chem beyond freshman year

9Time yourself at ~3 minutes per question — pace is the #1 reason candidates run out of time

10Take at least one full 110-question simulation before exam day to build endurance

Frequently Asked Questions

Who should take FE Other Disciplines?

Graduates of engineering programs that don't have a specialty FE — biomedical, biological, optical, nuclear, software, agricultural, ocean, mining, and similar disciplines. Also a fallback for general engineering majors. The discipline you choose for the FE does not have to match the PE you eventually take.

What is the FE Other Disciplines pass rate?

NCEES first-time pass rates have generally run between 57% and 65% in recent years for the Other Disciplines exam — slightly lower than the FE Civil and FE Mechanical because the content is broader and less aligned with any single curriculum.

How is FE Other different from the other FE exams?

It covers more breadth: instead of a deep dive in one specialty, it samples chemistry, statics, dynamics, mechanics of materials, fluids, electricity, heat transfer, materials, instrumentation, ethics, and economics. Expect lighter discipline-specific content and more general engineering science.

What calculator can I use?

Only NCEES-approved models: Casio FX-115 series, HP 35s, HP 33s, TI-30X series, and TI-36X Pro. An on-screen calculator is also provided. Bring your own physical calculator with fresh batteries — there are no chargers in the test center.

How long should I study?

Most candidates plan 200-300 hours over 2-4 months. Because FE Other has the broadest content of any FE exam, candidates often need extra time on topics outside their undergraduate focus — review chemistry, materials, electrical, and heat transfer carefully.

What reference materials can I use during the exam?

Only the on-screen, searchable NCEES FE Reference Handbook (current edition) is provided — no personal references, notes, or printed handbooks. Download the free PDF from NCEES and study with the same edition you'll see on test day so the layout and notation are familiar.