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FE practice problems with full solutions

By Dr. Mohamed Elansary, PhD Environmental EngineeringUpdated

These pages hold original FE practice problems, ten per topic, each with a full worked solution. The same software that writes the daily problem inside the lab generates them from the formulas in the FE Reference Handbook, and code checks every answer before a page is published.

Each solution gives the handbook section and page, the equation, the substitution with units, a check, and the mistake behind each wrong option. Keep the handbook open as a PDF while you work, the way you will on exam day. If you only have a few minutes, start with the free sample set. Past daily problems from the lab, one per day with the full solution, are in the daily problem archive.

Free sample set

  • Free FE practice problemsFive free, original FE practice problems from five exam areas, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.

Practice by topic

  • Pipe Flow Practice Problems (Darcy-Weisbach)Ten original FE-style problems on head loss in pipes with the Darcy-Weisbach equation, each with a full worked solution, handbook page, and why each wrong option is wrong.
  • Truss Practice Problems (Method of Joints)Ten original FE-style truss problems solved by the method of joints, with full worked solutions, tension or compression, and the mistake behind each wrong option.
  • Clarifier Practice Problems: Overflow Rate and Detention TimeTen original FE Environmental-style fill-in problems on clarifier surface overflow rate and detention time, with worked solutions and common wrong answers.
  • Engineering Economics Practice Problems: Time Value of MoneyTen original FE engineering economics problems on present worth, future worth, and annual amounts using the interest factor formulas, with full solutions.
  • Effective Stress Practice ProblemsTen original FE Civil-style problems on total stress, pore water pressure, and effective stress in layered soil, with full worked solutions.
  • Rational Method Practice Problems: Peak Runoff Q = CIATen original FE fill-in problems on peak runoff with the rational method, including composite runoff coefficients, with full worked solutions.
  • Ethics Practice Problems (Select All That Apply)Ten original FE ethics scenarios in select-all-that-apply format, each answered with the relevant NCEES Model Rules section cited by number.
  • Activated sludge Practice ProblemsTen original FE Environmental practice problems on activated sludge, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Air quality Practice ProblemsTen original FE Environmental practice problems on air quality: plume and control efficiency, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Comparing alternatives Practice ProblemsTen original FE practice problems on comparing alternatives, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Beams and column buckling Practice ProblemsTen original FE Civil practice problems on beams and column buckling, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Bernoulli and pump power Practice ProblemsTen original FE practice problems on bernoulli and pump power, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • BOD and dissolved oxygen Practice ProblemsTen original FE Environmental practice problems on BOD and dissolved oxygen, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Calculus Practice ProblemsTen original FE practice problems on calculus: derivatives and integrals, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Construction: CPM and earned value Practice ProblemsTen original FE Civil practice problems on construction: CPM and earned value, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Dynamics Practice ProblemsTen original FE Civil practice problems on dynamics: kinematics and work-energy, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Combustion CO₂ and air Practice ProblemsTen original FE Environmental practice problems on combustion CO₂ and air, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Environmental chemistry Practice ProblemsTen original FE Environmental practice problems on environmental chemistry, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Fluid statics Practice ProblemsTen original FE practice problems on fluid statics, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Analytic geometry and roots Practice ProblemsTen original FE practice problems on analytic geometry and roots, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Groundwater: Darcy and wells Practice ProblemsTen original FE Environmental practice problems on groundwater: Darcy and wells, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Health risk: dose and hazard Practice ProblemsTen original FE Environmental practice problems on health risk: dose and hazard, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Material properties Practice ProblemsTen original FE Civil practice problems on material properties and concrete mix, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Mechanics of materials Practice ProblemsTen original FE Civil practice problems on mechanics of materials, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Open channel flow, Manning Practice ProblemsTen original FE practice problems on open channel flow, Manning, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Reactors and population projection Practice ProblemsTen original FE Environmental practice problems on reactors and population projection, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Landfill capacity and incineration Practice ProblemsTen original FE Environmental practice problems on landfill capacity and incineration, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Statistics Practice ProblemsTen original FE practice problems on statistics: standard deviation and probability, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Surveying Practice ProblemsTen original FE Civil practice problems on surveying: areas, coordinates, earthwork, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.
  • Transportation Practice ProblemsTen original FE Civil practice problems on transportation: sight distance and curves, each with a full worked solution: the handbook page, the equation, the substitution with units, and why each wrong option is wrong.

Frequently asked questions

Are these real FE exam questions?

No. They are original problems matched to topics in the NCEES exam specifications. Real exam content is confidential, and the agreement every examinee accepts forbids sharing it.

Do the solutions use the FE Reference Handbook?

Yes. Every solution names the handbook section and the page in FE Reference Handbook 10.6, which is a free download in MyNCEES.

How often are new problems added?

A new problem posts every day inside the lab. These public pages cover one topic each and grow as new topics are added to the problem engine.

Sources

  1. NCEES FE Reference Handbook 10.6 (free PDF in MyNCEES). Retrieved October 3, 2026.
  2. NCEES: FE exam. Retrieved October 3, 2026.