FE Chemical Exam Guide 2026: Current NCEES Fee, Pass Rate, Topics, and Study Plan
Video
Evaluate the indefinite integral of (3x^2 + 2x - 5) dx.
Mathematics
Question · Easy
Every level, the water flows faster
Short
Current FE Chemical guide for 2026 with NCEES format, $225 fee, 68% pass-rate context, official topic weights, handbook strategy, retake rules, and free practice questions.
Blog
What is the Newton-Raphson formula for iteratively finding a root of f(x) = 0?
Flashcard
A first-order ODE dy/dx = ky has y(0) = 100. If k = -0.05 min^-1, what is y at x = 20 min?
___'s method is the iterative process most often used to compute real or complex zeros of an analytic function accurately.
Numerical methods
Guess the Term
Chapter 1: Mathematics
1.1 Analytic Geometry, Algebra, and Trigonometry
Study guide
Cheat sheet
Use the Newton-Raphson method to perform one iteration on f(x) = x^2 - 5 starting from x0 = 2. What is x1?
Question · Medium
Read the clue and guess the term in 6 tries.
Game
What is the Laplace transform of f(t) = e^(-at)?
What is the Laplace transform of f(t) = e^(-3t)?
One-factor statistical procedure that splits the total spread in a single measured response into components linked to different sources.
Hypothesis testing
Given two equations: 2x + y = 7 and x - y = 2, solve for x.
Two lines, one point: an emo ballad
How do accuracy and precision differ when reporting a measured or calculated value?
A measurement is 12.345 g with uncertainty +/- 0.01 g. How many significant figures should be reported?
___'s law: applied voltage equals current multiplied by resistance.
Electrical circuits
1.2 Calculus and Differential Equations
A quality engineer collects 30 viscosity readings with mean 50 cP and sample standard deviation 4 cP. What is the 95% confidence interval for the population mean (use z = 1.96)?
Probability Statistics
Swap tiles to line up three of the same term.
Term Match
What is the binomial probability formula for exactly x successes in n independent trials?
Probability and Statistics
A continuous reactor produces 5% off-spec product. In a random sample of 4 batches, what is the probability that exactly 1 is off-spec? (binomial distribution)
Slow, time-dependent deformation that many materials undergo at elevated temperature under constant load.
Material properties
An x-bar control chart uses 3-sigma limits. Sigma of the process is 2.0 and the target mean is 100. What are the upper and lower control limits for samples of size n = 4?
Question · Hard
Same battery. Which lets more through?
How do you construct a confidence interval for a population mean using sample data?
Two events A and B are independent with P(A) = 0.3 and P(B) = 0.4. What is P(A and B)?
SI base unit for amount of substance, one of the seven that also include the ampere and kelvin.
Chemistry fundamentals
1.3 Numerical Methods and Measurement Error
A 10 kg block accelerates at 2 m/s^2 across a horizontal surface against a friction force of 5 N. What is the magnitude of the applied horizontal force?
Engineering Sciences
Flip two cards at a time to find matching terms.
Term Pairs
State Ohm's law and Kirchhoff's current law for a simple DC circuit.
A pump lifts 200 kg of water 15 m vertically in 10 s. What is the power required (assume g = 9.81 m/s^2 and 100% efficiency)?
Biological catalyst, nearly always a protein, that speeds a specific reaction and is reused.
Biochemistry
A 12-V battery drives a current of 3 A through a resistor. What is the resistance and dissipated power?
How are work and power related when a constant force moves an object?
Three resistors of 4, 6, and 12 ohms are connected in parallel. What is the equivalent resistance?
Difference between a pump inlet's pressure and the liquid's saturation pressure, monitored to prevent vapor bubbles from collapsing on the impeller.
Pumps and compressors
Chapter 2: Probability and Statistics
2.1 Probability Distributions, Central Tendency, and Regression
Which corrosion mechanism is the PRIMARY concern when a 304 stainless-steel vessel handles chloride-rich aqueous fluid at elevated temperature and stress?
Materials Science
Find five hidden terms in a grid of letters.
Term Search
What is the standard formula for corrosion rate in mils per year (mpy)?
Yield strength typically DECREASES with which of the following?
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