Forms A–B · First edition

FE Mechanical Practice Exam

110 original four-choice problems mapped to the current FE Mechanical knowledge areas, with complete worked solutions.

See 2 forms — USD 29 each Free practice PDF · 14 problems Read free problems

Thermodynamics, fluid mechanics, dynamics, and mechanical design together account for 42 of the 110 problems here, matching the weight NCEES gives them.

Problems: 110 per form
Free problems: 14
Forms: 2

Choose a practice exam form

Forms are sold separately for USD 29 each.

Practice Exam, Form A

USD29

110 original problems and complete worked solutions
Answer key and knowledge-area score sheet
129-page immediate private PDF download

14-day full refund · 90-day download access

Practice Exam, Form B

USD29

110 original problems and complete worked solutions
Answer key and knowledge-area score sheet
107-page immediate private PDF download

14-day full refund · 90-day download access

Free worked samples

One complete problem and solution from every knowledge area
No account or email required
Read online or print the free PDF with worked solutions

Download free sample PDF

Secure checkout by Stripe. Full refund within 14 days under the refund policy. Download access lasts 90 days and corrected releases remain available to buyers.

Pages from each form

Direct renders from the current PDF releases, not illustrative mockups.

Form A

129 pages · Version 1.0.0

FE Mechanical Form A: A worked-solution page from the current release — **Worked solution**Form A · direct PDF render

FE Mechanical Form A: The knowledge-area score sheet included in the PDF — **Score sheet**Form A · direct PDF render

Form B

107 pages · Version 1.0.0

FE Mechanical Form B: A worked-solution page from the current release — **Worked solution**Form B · direct PDF render

FE Mechanical Form B: The knowledge-area score sheet included in the PDF — **Score sheet**Form B · direct PDF render

Free before purchase

Try a complete mathematics problem

A right circular conical hopper stands apex down, $8$ ft deep with an $8$ ft top diameter. Granular material is fed in at a steady $12$ ft $^{3}$ /min. When the material depth is $6$ ft, the rate at which the surface level rises is most nearly:

(A)0.106 ft/min
(B)0.141 ft/min
(C)0.424 ft/min
(D)1.273 ft/min

Show worked solution

Answer: (C)

Because the free surface at 6 ft depth spans only 28.3 ft $^{2}$ , a 12 ft $^{3}$ /min feed lifts the level about 0.42 ft/min.

Similar triangles fix the surface radius at half the depth, which collapses the cone volume to a function of depth alone.

r = \frac{h}{2}

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

Differentiating in time links the two rates, and the instantaneous depth of 6 ft closes the problem.

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

\frac{d h}{d t} = \frac{4 ( 12 )}{π ( 6 ) ^{2}} = 0.424 ft/min

FE Reference Handbook — Mathematics: Derivatives and Indefinite Integrals; Mensuration of Areas and Volumes, Right Circular Cone

Why the other choices appear

(A)Taking $r = h$ instead of $h /2$ gives $d h / d t = 12/ [π (6)^{2}] = 0.106$ ft/min.
(B)Dropping the $1/3$ from the cone volume gives $V = π h^{3} /4$ and $d h / d t = 48/ [3 π (6)^{2}] = 0.141$ ft/min.
(D)Carrying the $1/3$ into the rate equation as $d V / d t = (π /3) r^{2} d h / d t$ with $r = 3$ ft gives $12/9.425 = 1.273$ ft/min.

What each download contains

Edition: First edition
Form A: 129 pages · Version 1.0.0
Form B: 107 pages · Version 1.0.0
Questions: 110 original problems per form
Coverage: 14 knowledge areas
Question type: Four-choice, single-answer
Format: Print-ready PDF, US Letter

Built against the NCEES FE Mechanical specifications effective July 2020, current as of July 2026. Official exam format and appointment facts are available from NCEES. This printable form does not reproduce the Pearson VUE interface or interactive alternative item types.

Knowledge-area coverage

Knowledge area	Form A	NCEES range
Mathematics	7	6-9
Probability and Statistics	5	4-6
Ethics and Professional Practice	4	4-6
Engineering Economics	5	4-6
Electricity and Magnetism	6	5-8
Statics	10	9-14
Dynamics, Kinematics, and Vibrations	10	10-15
Mechanics of Materials	10	9-14
Material Properties and Processing	7	7-11
Fluid Mechanics	10	10-15
Thermodynamics	11	10-15
Heat Transfer	8	7-11
Measurements, Instrumentation, and Controls	6	5-8
Mechanical Design and Analysis	11	10-15

Verification and corrections

Original problems, checked by a second calculation route

Every answer is reproduced with an alternate formula, a limiting case, a dimensional check, or a direct recomputation before publication. Official examination questions are confidential and are not reproduced or paraphrased.

Confirmed errors are published as versioned corrections. Buyers can re-download the corrected release at no charge. Read the full editorial method.

For a repeat attempt

Close the weak areas before another USD 225 appointment

FE Mechanical repeat examinees passed at 37% versus 69% for first-time examinees in the cited NCEES data. Use the form's score sheet beside your diagnostic report, then read the FE Mechanical retake plan or compare FE pass rates by discipline.

Before you buy

Questions about the PDF

Is this an official NCEES practice exam?

EngineerProof is not affiliated with, endorsed by, or sponsored by NCEES. FE and NCEES are registered trademarks of the National Council of Examiners for Engineering and Surveying, used solely to identify the examination for which these study materials are relevant. All problems and solutions in this publication are original works.

Does it reproduce the computer-based test interface?

No. This is a printable four-choice PDF. It does not include the Pearson VUE interface or interactive alternative item types such as point-and-click and drag-and-drop.

How is the PDF delivered?

Stripe returns you to a private download page after payment. The same 90-day link is sent to the checkout email.

Can I print the exam?

Yes. One purchase includes a personal license to download and print the PDF for your own study.

What if the book is not right for me?

Email inshihub.com@gmail.com within 14 days for a full refund. No reason is required.

USD 29 each