FE Industrial and Systems Mathematics Practice Problems

The current FE Industrial and Systems specification assigns 6-9 of the 110 exam questions to Mathematics. Form A contains 7 original problems in this area. The sample below is published in full, with the same worked-solution format used throughout the book.

Free sample problem

A circular storage area has radius 7.0 m. Its floor area is most nearly:

(A)154 m²
(B)192 m²
(C)231 m²
(D)308 m²

Show worked solution

Answer: (A)

The circle area is 154 m².

The requested quantity follows from the stated mathematical definition.

A = π r^{2}

Substitution and unit reduction give the reported value.

A = π (7)^{2} = 154 m^{2}

FE Reference Handbook — Mathematics: Plane Areas

Why the other choices appear

(B)This introduces an extra factor of 1.25 that is not present in the governing relation.
(C)This value is 50% above the verified result; no stated conversion creates that change.
(D)The units are retained, but an unsupported 2 multiplier changes the requested magnitude.

The complete FE Industrial and Systems practice exam contains 7 problems in this area and 110 problems overall, with an answer key, full solutions, and a score sheet by knowledge area.

Free FE Industrial and Systems problems in the other knowledge areas

Engineering Sciences · Ethics and Professional Practice · Engineering Economics · Probability and Statistics · Modeling and Quantitative Analysis · Engineering Management · Manufacturing, Service, and Other Production Systems · Facilities and Supply Chain · Human Factors, Ergonomics, and Safety · Work Design · Quality · Systems Engineering, Analysis, and Design

Retaking this exam? The FE exam retake guide turns the NCEES diagnostic report into an area-by-area plan.