EngineerProof practice series
FE Environmental Practice Exam
Form A
110 original problems in the FE Environmental 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 15 knowledge areas of the current FE Environmental 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 | 6 | 5-8 | View |
| Probability and Statistics | 4 | 4-6 | View |
| Ethics and Professional Practice | 5 | 5-8 | View |
| Engineering Economics | 5 | 5-8 | View |
| Fundamental Principles | 8 | 7-11 | View |
| Environmental Chemistry | 8 | 7-11 | View |
| Health Hazards and Risk Assessment | 5 | 4-6 | View |
| Fluid Mechanics and Hydraulics | 13 | 12-18 | View |
| Thermodynamics | 3 | 3-5 | View |
| Surface Water Resources and Hydrology | 10 | 9-14 | View |
| Groundwater, Soils, and Sediments | 9 | 8-12 | View |
| Water and Wastewater | 14 | 12-18 | View |
| Air Quality and Control | 9 | 8-12 | View |
| Solid and Hazardous Waste | 7 | 7-11 | View |
| Energy and Environment | 4 | 4-6 | — |
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
A completely mixed lagoon of volume 500 m3 initially holds a contaminant at 40 mg/L. Contaminant-free water enters at 25 m3/h and the lagoon discharges at the same rate. Within the lagoon the contaminant also decays by a first-order reaction with k=0.030 h−1. The contaminant concentration after 30 h is most nearly:
- (A)3.6 mg/L
- (B)8.9 mg/L
- (C)16.3 mg/L
- (D)22.0 mg/L
Show worked solution
Answer: (A)
Washout and reaction combine into a single first-order coefficient of 0.080 h−1, leaving about 3.6 mg/L after 30 h.
Washout and reaction both remove mass in proportion to the instantaneous concentration, so the unsteady mass balance collapses to one lumped rate constant.
VdtdC=−QC−kVC
dtdC=−(VQ+k)C
Hydraulic washout at Q/V and reaction at k are additive because both are first order in C.
VQ+k=50025+0.030=0.080 h−1
Exponential decay from the initial 40 mg/L over 30 h leaves
C=40e−(0.080)(30)=40(0.0907)=3.6 mg/L
FE Reference Handbook — Mathematics: Differential Equations, First-Order Linear Homogeneous with Constant Coefficients
Why the other choices appear
- (B)Neglects the reaction and uses washout alone: 40e−(0.050)(30)=8.9 mg/L.
- (C)Neglects washout and uses the decay constant alone: 40e−(0.030)(30)=16.3 mg/L.
- (D)Subtracts the decay rate from the washout rate instead of adding: 40e−(0.020)(30)=22.0 mg/L.
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 Environmental 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.