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FE MechanicalFree NCEES FE Mechanical (Fundamentals of Engineering) practice test
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10 real FE Mechanical practice questions with instant answers and explanations — no account, no credit card, no email. Score yourself, then unlock the full bank of 70 questions whenever you’re ready. The FE Mechanical passing score is Scaled cut score set by NCEES (no published passing percentage).
In SI base units, the newton (unit of force) is equivalent to which combination?
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Q1. In SI base units, the newton (unit of force) is equivalent to which combination?
Correct answer: A. kg·m/s²
From Newton's second law F = ma, force has units of mass times acceleration, or kilogram·meter per second squared.
Q2. What is the arithmetic mean of the data set 4, 8, 10, 6, and 12?
Correct answer: A. 8
The sum is 40 and there are 5 values, so the mean is 40/5 = 8.
Q3. For a normal (Gaussian) distribution, approximately what percentage of the data falls within one standard deviation of the mean?
Correct answer: A. About 68%
By the empirical rule, roughly 68% of values lie within ±1 standard deviation, about 95% within ±2, and 99.7% within ±3.
Q4. According to the NSPE/NCEES code of ethics, what is an engineer's paramount obligation?
Correct answer: A. To hold paramount the safety, health, and welfare of the public
The first canon of the code makes public safety, health, and welfare the engineer's highest and overriding duty.
Q5. If $1,000 is invested at 10% annual interest compounded yearly, what is its value after 2 years?
Correct answer: A. $1,210
Using F = P(1+i)^n = 1000(1.10)² = 1000(1.21) = $1,210.
Q6. The single-payment present-worth factor (P/F, i, n) is used to do what?
Correct answer: A. Convert a known future single amount to its equivalent present value
The (P/F) factor discounts one future lump sum back to the present; the reverse (F/P) grows a present amount forward.
Q7. The dot (scalar) product of two nonzero vectors that are perpendicular to each other equals what?
Correct answer: A. Zero
The dot product is |A||B|cos(θ); at θ = 90°, cos(θ) = 0, so the product is zero.
Q8. What is the derivative with respect to x of the function f(x) = x³?
Correct answer: A. 3x²
Applying the power rule d/dx(xⁿ) = n·x^(n−1) gives 3x².
Q9. A loan of $2,000 accrues simple interest at 5% per year. How much interest accumulates after 3 years?
Correct answer: A. $300
Simple interest is I = P·i·n = 2000 × 0.05 × 3 = $300 (interest is not compounded).
Q10. A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?
Correct answer: A. 1/3
Only 5 and 6 exceed 4, giving 2 favorable outcomes out of 6, which reduces to 1/3.
Exam facts and objectives sourced from the official NCEES (FE Exam) certification page. Last reviewed June 2026.
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