FE Other Disciplines (NCEES Fundamentals of Engineering) Practice Test
Frequently asked questions
How many FE Other Disciplines (NCEES Fundamentals of Engineering) practice questions are here?+
A full bank of original FE Other Disciplines (NCEES Fundamentals of Engineering) practice questions across the official content areas, weighted like the real exam, with explanations. Free, no signup.
What is the FE Other Disciplines (NCEES Fundamentals of Engineering) exam like?+
About 110 questions, 360 minutes. Practice by topic here, then take the full timed mock exam to gauge readiness.
Are these the real exam questions?+
No. Every question is 100% original, written from public primary sources with explanations. We never copy real exam questions or paid prep material.
Can I study in Chinese or Spanish?+
PrepPass practice is in English, 中文 and Español. The official exam is in English — switch the question language to English any time to rehearse the exact terminology you'll see on test day.
Sample practice questions
A few real questions from this free bank, with full explanations. Use the practice tool above for the whole set.
- 1. Mathematics
What is the derivative of f(x) = 3x^3 - 5x evaluated at x = 2?
- a.31
- b.27
- c.36
- d.19
Answer: a
Explanation: Differentiate term by term: f'(x) = 9x^2 - 5. At x = 2, f'(2) = 9(4) - 5 = 36 - 5 = 31. The power rule d/dx(x^n) = n·x^(n-1) is the core single-variable calculus tool tested on the FE.
- 2. Fluid Mechanics
A fluid has dynamic viscosity 1x10^-3 Pa·s and density 1000 kg/m^3. What is its kinematic viscosity?
- a.1x10^-6 m^2/s
- b.1x10^3 m^2/s
- c.1x10^-3 m^2/s
- d.1 m^2/s
Answer: a
Explanation: Kinematic viscosity nu = mu/rho = (1x10^-3)/1000 = 1x10^-6 m^2/s. It is the dynamic viscosity normalized by density and appears in the Reynolds number.
- 3. Statics
A block rests on an incline whose angle is slowly increased. If the coefficient of static friction is 0.3, at what angle does the block begin to slide?
- a.30 degrees
- b.45 degrees
- c.16.7 degrees
- d.3.0 degrees
Answer: c
Explanation: At impending slip on an incline, tan(theta) = mu_s, so theta = arctan(0.3) = 16.7 degrees. This angle of repose is independent of the block's weight.
- 4. Dynamics
A rotating body has a mass moment of inertia of 2 kg·m^2 and spins at 3 rad/s. What is its rotational kinetic energy?
- a.9 J
- b.6 J
- c.18 J
- d.3 J
Answer: a
Explanation: Rotational KE = (1/2)·I·omega^2 = 0.5 x 2 x 3^2 = 0.5 x 2 x 9 = 9 J. It is the rotational analog of (1/2)·m·v^2, with moment of inertia replacing mass and angular velocity replacing linear velocity.
- 5. Thermodynamics and Heat Transfer
What is the conductive thermal resistance of a plane wall with thickness 0.2 m, thermal conductivity 0.04 W/m·K, and area 5 m^2?
- a.25 K/W
- b.0.04 K/W
- c.0.008 K/W
- d.1.0 K/W
Answer: d
Explanation: Conduction resistance R = L/(kA) = 0.2/((0.04)(5)) = 0.2/0.2 = 1.0 K/W. Thermal resistances add in series just like electrical resistances, with Q = (delta T)/R.
- 6. Mathematics
What is the magnitude of the cross product of vectors (2, 0, 0) and (0, 3, 0)?
- a.5
- b.0
- c.36
- d.6
Answer: d
Explanation: The cross product (2,0,0) x (0,3,0) = (0, 0, 6), whose magnitude is 6. Equivalently, for perpendicular vectors |A x B| = |A||B|sin(90) = 2·3·1 = 6, the area of the spanned parallelogram.
- 7. Probability and Statistics
A population has standard deviation 20. For a sample of size 100, what is the standard error of the mean?
- a.2
- b.20
- c.0.2
- d.0.02
Answer: a
Explanation: The standard error is sigma/sqrt(n) = 20/sqrt(100) = 20/10 = 2. Larger samples reduce the standard error and sharpen the estimate of the mean.
- 8. Materials
A two-phase alloy at 40 wt% B lies between an alpha phase at 20 wt% B and a liquid at 60 wt% B. Using the lever rule, what mass fraction is liquid?
- a.0.50
- b.0.40
- c.0.60
- d.0.20
Answer: a
Explanation: Fraction liquid = (C - C_alpha)/(C_liquid - C_alpha) = (40 - 20)/(60 - 20) = 20/40 = 0.50. The lever rule uses the opposite tie-line arm to weight each phase fraction.
- 9. Basic Electrical Engineering
What power is dissipated by a 6-ohm resistor with 12 V across it?
- a.2 W
- b.24 W
- c.48 W
- d.72 W
Answer: b
Explanation: P = V^2/R = 12^2/6 = 144/6 = 24 W. When the voltage is known, P = V^2/R avoids first computing the current.
- 10. Safety, Health, and Environment
The flash point of a liquid is the:
- a.Temperature at which the liquid spontaneously self-ignites in air with no external spark or flame
- b.Lowest temperature at which it gives off enough vapor to form an ignitable mixture
- c.Temperature at which it freezes
- d.Temperature at which it boils
Answer: b
Explanation: Flash point is the minimum temperature at which a liquid produces sufficient vapor to flash when an ignition source is present. Autoignition, needing no spark, occurs at a higher temperature.