The Fundamentals of Surveying (FS) examination is the first step toward becoming a licensed Professional Land Surveyor (PLS) in the United States. Administered by the National Council of Examiners for Engineering and Surveying (NCEES), the FS exam is a computer-based test that assesses entry-level competency in the technical and legal foundations of land surveying practice. Passing the FS exam earns you the designation of Surveyor Intern (SI) — or Engineer Intern in jurisdictions that combine the title — and qualifies you to begin accumulating the supervised work experience required for the Professional Land Surveyor licensure examination.
Our free Fundamental Surveying practice test PDF covers every major content area of the NCEES FS exam, including mathematics, measurement theory, geodesy, photogrammetry, boundary law, and survey calculations. Print it out, work through the problems with your calculator, and use it alongside the NCEES FS Reference Handbook to identify the domains where you need the most reinforcement before exam day.
The FS exam is open-book in the sense that the official NCEES FS Reference Handbook is available on-screen during the test — but every formula, table, and chart in that handbook must be navigated quickly under time pressure. Consistent practice with realistic questions is the most effective way to build the problem-solving speed you need to complete all 110 questions within the 5-hour 20-minute testing window.
The FS exam opens with a broad mathematics and statistics section that underpins every quantitative surveying skill tested later in the exam. Candidates must be proficient with algebra, geometry, trigonometry, and coordinate geometry — including the ability to solve triangles using the law of sines and cosines, calculate areas of irregular polygons using the coordinate method, and work with vectors in two and three dimensions. Analytical geometry questions may ask candidates to determine the equation of a line or circle passing through survey control points, compute the intersection of two bearings, or calculate the radius of a horizontal curve from geometry alone.
Statistics and error analysis are given substantial weight because measurement uncertainty is fundamental to survey quality management. You must understand mean, variance, standard deviation, and standard error of the mean; propagate errors through sums, differences, and products of independently measured quantities; and apply least-squares adjustment concepts to redundant survey observations. The normal distribution, confidence intervals, and the chi-square goodness-of-fit test for comparing observed variance against a priori estimates are tested at a conceptual level. Candidates who invest study time in error propagation — particularly for traverse closures and leveling networks — consistently outperform those who focus only on the geometric calculation topics.
The measurement domain covers the instruments, techniques, and quality controls used in field data collection. Total stations and electronic distance measurement (EDM) theory — including how electro-optical EDM instruments measure distances by phase comparison or time-of-flight methods, atmospheric corrections for temperature and pressure, and scale corrections for map projection — are tested in quantitative detail. Theodolite operation, circle reading, and the effects of instrumental errors (horizontal axis error, vertical axis error, eccentricity) and how two-face observations eliminate or expose them are covered.
Global Navigation Satellite System (GNSS) surveying receives considerable coverage on the FS exam. Candidates must understand the differences between GPS, GLONASS, Galileo, and BeiDou systems at a conceptual level; the four ranging signals and their frequencies; the sources of GNSS error including multipath, atmospheric delays (tropospheric and ionospheric), satellite geometry (GDOP, PDOP, HDOP), and selective availability (now disabled). Differential GNSS, real-time kinematic (RTK) GNSS, network RTK using Continuously Operating Reference Stations (CORS), and the distinction between code-phase and carrier-phase positioning are all expected knowledge. Candidates must also understand when GNSS is appropriate versus total station methods based on line-of-sight requirements, canopy obstruction, and required precision.
Geodesy is a conceptually demanding domain that tests your understanding of the mathematical models used to describe the Earth and relate measurements taken on its curved surface to flat map projections. The FS exam covers the reference ellipsoid — including the defining parameters of semi-major axis (a) and flattening (f) for the GRS 80 ellipsoid used in NAD 83 — and the relationship between geodetic latitude, geodetic height (ellipsoidal height), and orthometric height (height above the geoid). The separation between the ellipsoid and the geoid, known as the geoid undulation (N), is critical for converting GPS-derived ellipsoidal heights to NAVD 88 orthometric elevations using NOAA's GEOID models.
State Plane Coordinate System (SPCS) geometry is tested extensively. The FS exam requires knowledge of both Lambert Conformal Conic (LCC) and Transverse Mercator (TM) projections — including how each projection minimizes distortion, when each is used, and how to apply scale factors and convergence angle corrections when computing grid azimuths and distances from geodetic values. The Universal Transverse Mercator (UTM) system, its zone boundaries, and the central scale factor of 0.9996 must also be understood. Candidates should be able to convert between geographic coordinates (latitude/longitude), State Plane grid coordinates, and UTM coordinates using the NCEES reference formulas.
Boundary law is the legal foundation of land surveying and distinguishes the licensed surveyor's role from that of an engineer or technician. The FS exam covers the hierarchy of evidence used to locate property boundaries: senior rights and calls in deeds, monuments (natural and artificial), adjoiner calls, distance calls, and area calls — in descending order of reliability. Candidates must understand how to interpret metes-and-bounds descriptions, identify senior and junior parcels in overlapping deed chains, and recognize how ambiguous deed calls are resolved by courts and surveyors under the rules of construction.
Public Land Survey System (PLSS) concepts are a major component of the boundary law domain. The FS exam tests the layout of principal meridians and base lines, township and range numbering, section numbering within a township (the serpentine numbering pattern starting in the NE corner), subdivision of sections into quarter-sections and aliquot parts, and the location of closing corners, lost corners, and obliterated corners under the 2009 BLM Manual of Surveying Instructions. Riparian boundary law — including the doctrines of accretion, erosion, avulsion, and reliction, and how they affect ownership of land adjacent to navigable and non-navigable waters — is tested at a foundational level. Adverse possession and easement by prescription concepts appear as well, though at the definitional rather than case-application level on the FS exam.
The photogrammetry section covers aerial and close-range photogrammetry concepts. Candidates must understand the geometry of the vertical aerial photograph — principal point, nadir point, isocenter, fiducial marks, and the relationship between photo scale, focal length, and flying height. Relief displacement and its effect on the apparent position of tall objects in aerial photographs, as well as the formula for computing the height of a feature from its displacement relative to the principal point, are quantitatively tested. Stereoscopic viewing, parallax measurement, and the computation of ground elevations from parallax differences in stereo pairs are covered. The FS exam also addresses photogrammetric control — the use of ground control points (GCPs) for aerial triangulation and bundle block adjustment — and the distinction between interior orientation (restoring the interior geometry of the camera) and exterior orientation (determining the camera position and attitude at the moment of exposure).
The calculations domain integrates mathematical skills with surveying-specific procedures. Traverse computations are the most heavily tested calculation topic: candidates must perform the full traverse adjustment sequence including computing latitudes and departures, computing linear closure and relative precision, applying compass rule (Bowditch) corrections, and computing adjusted coordinates. Area computations using the coordinate method (double meridian distance or the shoelace formula) and the subdivision of parcels into specified areas are also tested. Horizontal and vertical curve geometry — including the elements of simple horizontal curves (radius, tangent length, arc length, chord length, and external distance) and the geometry of equal-tangent and unequal-tangent vertical curves — appear consistently. Volume calculations for earthwork using average end area and prismoidal methods, and the use of mass haul diagrams, complete the calculations domain.
Want immediate feedback as you study? Our Fundamental Surveying practice tests let you work through FS exam questions interactively with answer explanations for every item. Identify your weakest content areas across geodesy, boundary law, traverse calculations, and photogrammetry before your Pearson VUE test date.