EngineerProof practice series

FE Other Disciplines Practice Exam

Name: Other Disciplines Practice Exam, Form A
Brand: EngineerProof
Price: 29 USD
Availability: InStock

Form A

110 original problems in the FE Other Disciplines format, with complete worked solutions. Every problem is answerable with the on-screen reference handbook alone, every solution names the governing handbook equation, and every numeric answer was reproduced by a second, independent calculation route before publication.

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What is in the exam

110 problems distributed across all 14 knowledge areas of the current FE Other Disciplines specification, with per-area counts inside the published NCEES ranges. Two timed sittings of 55 problems reproduce the pace of the real 5-hour-20-minute appointment.

Knowledge area	This form	NCEES range	Free sample
Mathematics	9	8-12	View
Probability and Statistics	7	6-9	View
Chemistry	6	5-8	View
Instrumentation and Controls	5	4-6	View
Engineering Ethics and Societal Impacts	5	5-8	View
Safety, Health, and Environment	6	6-9	View
Engineering Economics	7	6-9	View
Statics	10	9-14	View
Dynamics	10	9-14	View
Strength of Materials	10	9-14	View
Materials	7	6-9	View
Fluid Mechanics	12	12-18	View
Basic Electrical Engineering	7	6-9	View
Thermodynamics and Heat Transfer	9	9-14	View

How the solutions are written

A short derivation in plain professional prose: what governs, the governing equation named as it appears in the reference handbook, and the result with units.
A one-line explanation of each wrong choice, computed from the specific error that produces that exact value — never invented.
Every answer verified by a second, independent route — an alternate formula, a limiting case, or a direct recomputation — before release.
Typeset as a clean, monochrome book: the full form, an answer key, and complete solutions in one print-ready PDF.
A score sheet groups your results by knowledge area — the same area-by-area view as the NCEES diagnostic report — so a retake candidate can check that the weak areas from a previous attempt have actually closed.

Sample problem

Mathematics

Water drains from an inverted right circular cone, apex down, having a top radius of 3.0 m and a height of 6.0 m. The discharge is steady at 0.25 m $^{3}$ /s. When the water depth is 4.0 m, the rate of fall of the free surface is most nearly:

(A)0.0050 m/s
(B)0.0088 m/s
(C)0.0199 m/s
(D)0.0597 m/s

Show worked solution

Answer: (C)

The free surface falls about 0.0199 m/s, since at a depth of 4.0 m its area is only $4 π$ m $^{2}$ .

Geometric similarity ties the surface radius to the depth, reducing the volume to a single variable.

r = \frac{h}{2}

V = \frac{1}{3} π r^{2} h = \frac{π h ^{3}}{12}

Differentiating volume with respect to depth produces the instantaneous free-surface area, the only geometry the drain rate responds to.

\frac{d V}{d t} = \frac{π h ^{2}}{4} \cdot \frac{d h}{d t}

At 4.0 m depth the surface radius is 2.0 m and the surface area is $4 π$ m $^{2}$ , so the level drops at

\frac{d h}{d t} = \frac{0.25}{4 π} = 0.0199 m/s

FE Reference Handbook — Mathematics: Mensuration of Areas and Volumes, Right Circular Cone; Differential Calculus, The Chain Rule

Why the other choices appear

(A)Sets the surface radius equal to the depth, $r = h = 4.0$ m, giving $0.25/ (16 π) = 0.0050$ m/s.
(B)Uses the fixed 3.0 m top radius as the surface radius, giving $0.25/ (9 π) = 0.0088$ m/s.
(D)Divides the volume by the depth instead of differentiating, taking $d V / d h = π h^{2} /12 = 4.19$ m $^{2}$ and giving 0.0597 m/s.

One free sample problem with its complete worked solution is published for each knowledge area — open any area from the table above.

Retaking the exam?

Repeat attempts pass at roughly half the first-time rate, and the difference is almost always the plan, not the person. Read the FE Other Disciplines retake guide — the current NCEES rules, how to read your diagnostic report, and how to use this form's knowledge-area score sheet as the go/no-go check before you pay for the next appointment.

Corrections and provenance

Every problem in this book is an original work written for this publication. Official examination questions are confidential and are not reproduced or paraphrased. If an error survives the two-route verification, the correction is published on this site with a version number, and buyers can re-download the corrected PDF from their receipt link at no charge. Support: support@inshihub.com.