Principles and Practice of Surveying (PS) Exam — Questions and Answers
Question 1: A total station using the EDM measures slope distance. To obtain horizontal distance, the surveyor must also measure the:
- Vertical angle (Correct answer)
- Index error
- Magnetic declination
- Zenith azimuth
Correct answer: Vertical angle
Horizontal distance = Slope distance × cos(vertical angle); the vertical angle is required to reduce slope distance to horizontal distance.
Question 2: In tunnel surveying, gyroscope attachments or gyrotheodolites are used primarily to:
- Set grades along the tunnel invert
- Maintain directional control independent of magnetic interference and surface control (Correct answer)
- Monitor settlement of tunnel walls
- Measure cross-section dimensions of the tunnel bore
Correct answer: Maintain directional control independent of magnetic interference and surface control
Gyrotheodolites determine true north by sensing Earth's rotation, providing azimuth independent of magnetic fields and without needing line of sight to surface control.
Question 3: Using the same two points (A: N 5,432.18, E 3,217.45 and B: N 4,891.32, E 3,648.72), what is the horizontal distance AB?
- 692.0 ft (Correct answer)
- 825.4 ft
- 431.3 ft
- 540.9 ft
Correct answer: 692.0 ft
Distance = √(ΔN² + ΔE²) = √(540.86² + 431.27²) = √478,523 ≈ 692.0 ft.
Question 4: Which angular measurement defines a point's position in the direction perpendicular to the equatorial plane on a geodetic ellipsoid?
- Geodetic longitude
- Geocentric latitude
- Geodetic latitude (Correct answer)
- Reduced latitude
Correct answer: Geodetic latitude
Geodetic (ellipsoidal) latitude is the angle between the ellipsoidal normal at a point and the equatorial plane.
Question 5: An original USPLSS corner monument is found in the field. A later survey placed a different monument nearby. Which controls?
- The later monument because it was set by a licensed surveyor
- The monument agreed upon by adjacent landowners
- The original GLO monument because original monuments control (Correct answer)
- The monument closest to the calculated position
Correct answer: The original GLO monument because original monuments control
Original GLO corner monuments, when found, are the legal corners regardless of their calculated position; all other monuments are subordinate.
Question 6: The coordinate (Gauss/shoelace) method computes double the polygon area using which formula?
- 2A = Σ(Xₙ + Yₙ)
- 2A = ΣLat × ΣDep
- 2A = Perimeter² / (4π)
- 2A = Σ[Xₙ(Yₙ₊₁ − Yₙ₋₁)] (Correct answer)
Correct answer: 2A = Σ[Xₙ(Yₙ₊₁ − Yₙ₋₁)]
The shoelace formula states 2A = Σ[Xₙ(Yₙ₊₁ − Yₙ₋₁)], where coordinates are cycled through all polygon vertices.
Question 7: Under the Equal Footing Doctrine, when a new state is admitted to the Union, it acquires title to:
- All federal land within its borders
- Beds of navigable waters within its boundaries (Correct answer)
- Mineral rights beneath all private land
- All PLSS sections numbered 16 and 36
Correct answer: Beds of navigable waters within its boundaries
The Equal Footing Doctrine grants newly admitted states title to the beds of navigable waters, placing them on equal legal footing with the original thirteen states.
Question 8: A surveyor notices the RTK baseline length is 45 km. What is the most likely accuracy concern?
- Tropospheric and ionospheric errors become difficult to model and cancel (Correct answer)
- PDOP degrades beyond 4.0
- Satellite clock errors dominate
- The data link will fail
Correct answer: Tropospheric and ionospheric errors become difficult to model and cancel
Over long baselines, atmospheric errors (troposphere and ionosphere) do not cancel between rover and base, degrading RTK accuracy significantly.
Question 9: What is the primary purpose of a Digital Terrain Model (DTM) as distinguished from a Digital Elevation Model (DEM)?
- DTM includes only underwater bathymetric data
- DTM uses only photogrammetric data sources
- DTM incorporates break lines and mass points to better represent terrain features (Correct answer)
- DTM is always at a finer resolution than a DEM
Correct answer: DTM incorporates break lines and mass points to better represent terrain features
A DTM enhances elevation data by incorporating structural lines (break lines) and mass points that capture abrupt terrain changes, producing a more accurate surface representation than a bare-grid DEM.
Question 10: A surveyor who is found guilty of gross negligence in performing a boundary survey may face which of the following consequences?
- A verbal warning from the county recorder only
- Automatic referral to the federal government
- License suspension or revocation by the state licensing board (Correct answer)
- A mandatory peer review with no further action
Correct answer: License suspension or revocation by the state licensing board
State licensing boards have authority to suspend or revoke a license when a surveyor is found to have committed gross negligence.
Question 11: What is the primary ethical obligation of a PS professional when a conflict of interest arises during professional liability & ethics activities?
- Ignore the conflict if it does not directly affect the current task
- Disclose the conflict to all relevant parties and recuse from the decision if necessary (Correct answer)
- Proceed while favoring the outcome that benefits the professional personally
- Resolve the conflict privately without informing stakeholders
Correct answer: Disclose the conflict to all relevant parties and recuse from the decision if necessary
The primary ethical obligation when a conflict of interest arises in professional liability & ethics is to disclose it to all relevant parties and, if necessary, recuse from the decision. This maintains professional integrity and stakeholder trust.
Question 12: In a PLSS description, 'T.3N., R.5E.' means the township is located:
- 3 townships north and 5 ranges east of the principal meridian and baseline (Correct answer)
- 3 miles north and 5 miles east of the county seat
- Tier 3 and Range 5 measured from the nearest survey corner
- 3rd row north and 5th column east of the state capital
Correct answer: 3 townships north and 5 ranges east of the principal meridian and baseline
PLSS township descriptions identify position by tiers (T.) north or south of the baseline and ranges (R.) east or west of the principal meridian.
Question 13: A 'junior surveyor' working under a licensed professional surveyor may legally:
- Seal and certify plats independently if they have 5 years of experience
- Provide expert testimony about boundary locations in court
- Perform field measurements and calculations under the licensee's direct supervision (Correct answer)
- Negotiate boundary agreements with adjoining landowners on behalf of clients
Correct answer: Perform field measurements and calculations under the licensee's direct supervision
Unlicensed survey technicians may perform technical tasks — fieldwork and calculations — only under the direct supervision of a licensed professional surveyor.
Question 14: A PS professional encounters an unfamiliar situation while performing legal descriptions & deed interpretation duties. What is the most appropriate first action?
- Consult relevant standards, guidelines, or a qualified supervisor before proceeding (Correct answer)
- Apply a solution from an unrelated field without verification
- Proceed based on general assumptions to avoid delays
- Skip the task entirely and move to the next assignment
Correct answer: Consult relevant standards, guidelines, or a qualified supervisor before proceeding
When facing unfamiliar situations in legal descriptions & deed interpretation, the most appropriate action is to consult relevant standards, guidelines, or a qualified supervisor. This ensures safety, accuracy, and compliance while building professional knowledge.
Question 15: A surveyor notices that on a topographic map, contour lines appear to zigzag across a ridge. This pattern most likely indicates:
- The map uses an incorrect contour interval
- Multiple parallel ridges and valleys
- The ridge has a serrated or irregular crest (Correct answer)
- A mapping error
Correct answer: The ridge has a serrated or irregular crest
Zigzagging contour lines across a ridge indicate an irregular or serrated ridge crest with alternating high and low points along its length.
Question 16: Why are ethical standards important in surveying?
- To avoid legal issues.
- To create personal gain.
- To ensure fairness and accuracy in survey results (Correct answer)
- To limit surveyor responsibilities.
Correct answer: To ensure fairness and accuracy in survey results
Ethical standards are paramount in surveying because surveyors provide critical data that impacts property rights, construction safety, and legal decisions. Adhering to ethical guidelines ensures that measurements are unbiased, accurate, and reliable, fostering public trust and preventing conflicts of interest or fraudulent practices. This integrity is fundamental to the profession's credibility and the validity of its results.
Question 17: In the context of traverse & leveling calculations, what role does continuous professional development play for PS practitioners?
- It ensures practitioners remain current with evolving standards, technologies, and best practices (Correct answer)
- It is optional and only needed for career advancement
- It serves primarily as a networking opportunity with no practical benefit
- It is required only during the first year of certification
Correct answer: It ensures practitioners remain current with evolving standards, technologies, and best practices
Continuous professional development is essential in traverse & leveling calculations because it ensures PS practitioners remain current with evolving standards, technologies, and best practices, maintaining competency throughout their careers.
Question 18: Which statement best describes a surveyor's obligation when a client instructs them to omit a known encroachment from the final plat?
- The surveyor may comply if the encroachment is less than 0.1 feet
- The surveyor must refuse, as omitting material facts violates professional ethics and may constitute fraud (Correct answer)
- The surveyor should follow client instructions since the client owns the property
- The surveyor can add a disclaimer note and then omit the feature
Correct answer: The surveyor must refuse, as omitting material facts violates professional ethics and may constitute fraud
Knowingly omitting material survey findings at a client's direction is a breach of professional ethics, and a plat with intentional omissions could constitute fraud.
Question 19: How does the use of GPS improve land measurement in surveying?
- It increases accuracy, reduces time, and provides geospatial data (Correct answer)
- It replaces the need for physical surveys.
- It only works for topographic surveys.
- It provides approximate measurements.
Correct answer: It increases accuracy, reduces time, and provides geospatial data
GPS technology revolutionized surveying by providing highly accurate, real-time positioning data anywhere on Earth. It significantly increases the accuracy of measurements, reduces the time required for field data collection compared to traditional methods, and allows for the efficient collection of vast amounts of geospatial data. This data is crucial for mapping, navigation, and various land management applications, making surveys faster and more reliable.
Question 20: What type of map projection is used by USGS 7.5-minute quadrangle maps?
- Lambert Conformal Conic
- Transverse Mercator (NAD 83) (Correct answer)
- Albers Equal-Area Conic
- Polyconic
Correct answer: Transverse Mercator (NAD 83)
Modern USGS 7.5-minute quadrangle maps use the Transverse Mercator projection referenced to NAD 83.
Question 21: The 'inverse' computation in coordinate geometry refers to:
- Running a traverse in reverse to verify closure
- Converting grid distances to ground distances using a scale factor
- Computing coordinates from a given bearing and distance
- Computing the bearing and horizontal distance between two points of known coordinates (Correct answer)
Correct answer: Computing the bearing and horizontal distance between two points of known coordinates
Inverse computation solves for the direction (bearing) and distance between two coordinate pairs — the reverse of the forward (direct) problem.
Question 22: When distributing closure error in a differential leveling circuit among multiple sections, the correction for each section is proportional to:
- An equal share distributed to every turning point
- The number of turning points in each section
- The absolute elevation change in each section
- The length of that section relative to the total circuit length (Correct answer)
Correct answer: The length of that section relative to the total circuit length
Leveling misclosure is distributed proportionally to section length — longer sections absorb a larger share of the closure error.
Question 23: In stadia surveying, the horizontal distance formula using a horizontal line of sight is:
- D = K × s + C (Correct answer)
- D = s / K + C
- D = K / s + C
- D = K × s² + C
Correct answer: D = K × s + C
The stadia formula for horizontal distance is D = K × s + C, where K is the stadia interval factor (typically 100), s is the rod intercept, and C is the stadia constant.
Question 24: What is the primary drawback of using a 360° prism (omnidirectional prism) with a robotic total station?
- It only works at distances under 100 m
- Its effective prism constant varies with the angle of incidence, introducing distance errors (Correct answer)
- It cannot be used indoors
- It requires a different EDM frequency than standard prisms
Correct answer: Its effective prism constant varies with the angle of incidence, introducing distance errors
Because the signal enters a 360° prism from varying angles as the target moves, the effective prism constant changes slightly, introducing small but real distance errors if not properly modeled.
Question 25: A 'senior rights' doctrine in boundary law means that:
- Senior surveyors have authority over junior surveyors on a project
- The oldest recorded deed always prevails regardless of acreage
- An earlier conveyance from a common grantor takes priority over a later one (Correct answer)
- The first person to record a deed wins in all disputes
Correct answer: An earlier conveyance from a common grantor takes priority over a later one
Senior rights means the earlier conveyance from a common grantor controls, because a grantor cannot convey more than they own at the time of each subsequent deed.
Question 26: The combined effect of Earth curvature and atmospheric refraction on a sight distance of 1 mile is approximately:
- 0.21 ft
- 1.33 ft
- 0.57 ft (Correct answer)
- 0.09 ft
Correct answer: 0.57 ft
Combined curvature and refraction correction ≈ 0.574 M² ft (M in miles), giving about 0.57 ft at 1 mile.
Question 27: Which instrument is best suited for establishing precise vertical control along a long highway corridor where differential leveling would be impractical?
- Hand level with stadia rod
- Trigonometric leveling with a total station using long sights
- Digital level with invar rod
- Network RTK GNSS with accurate geoid model (Correct answer)
Correct answer: Network RTK GNSS with accurate geoid model
Network RTK GNSS combined with a high-accuracy geoid model (e.g., GEOID18) can provide rapid orthometric heights accurate to 2–3 cm over long corridors.
Question 28: When using a hand level to determine elevation differences over rough terrain, the most significant source of error is:
- Magnetic interference
- Solar radiation on the rod
- Rod reading parallax
- Leveling the instrument by eye (Correct answer)
Correct answer: Leveling the instrument by eye
A hand level is held and leveled by eye, introducing significant personal error in establishing a truly horizontal line of sight.
Question 29: What is the importance of using accurate measurements in land boundary determination?
- To prevent legal disputes and ensure clear property boundaries (Correct answer)
- To reduce survey costs.
- To determine land value.
- To improve real estate sales.
Correct answer: To prevent legal disputes and ensure clear property boundaries
Accurate measurements are paramount in land boundary determination because even small errors can lead to significant legal conflicts between property owners. Precise surveys establish unambiguous property lines, which are essential for property transactions, construction, and avoiding costly litigation. This ensures clarity and certainty regarding land ownership.
Question 30: What is the primary purpose of performing a 'calibration baseline' survey for EDM instruments?
- To check the instrument's pointing accuracy at long range
- To verify the instrument's vertical angle accuracy
- To determine the scale error and zero-error (additive constant) of the distance measurement system (Correct answer)
- To measure the prism constant of each prism in the inventory
Correct answer: To determine the scale error and zero-error (additive constant) of the distance measurement system
An EDM calibration baseline with precisely known distances allows the surveyor to solve for the instrument's additive constant and scale correction factor using a least-squares fit.
Question 31: In photogrammetric surveying, the 'flying height' above the datum divided by the camera focal length equals:
- Ground sample distance
- Base-to-height ratio
- Photo scale denominator (Correct answer)
- Overlap percentage
Correct answer: Photo scale denominator
Photo scale = f / H, where f is the focal length and H is the flying height above datum; thus H/f equals the scale denominator.
Question 32: An index contour differs from intermediate contours in that it is:
- Drawn with a heavier line and labeled with elevation (Correct answer)
- Always at sea level
- Used only on depression areas
- Dashed instead of solid
Correct answer: Drawn with a heavier line and labeled with elevation
Index contours are drawn with heavier lines and labeled with their elevation values, typically every fifth contour, to aid map reading.
Question 33: What symbol on a topographic map indicates a closed depression (a low point surrounded by higher terrain)?
- Dotted contour lines
- Dashed contour lines
- Hachured contour lines (Correct answer)
- Blue shading
Correct answer: Hachured contour lines
Depression contours are drawn with hachure marks (short tick marks) pointing inward toward the low point to distinguish them from normal contours.
Question 34: What is a boundary survey?
- Surveying air space.
- Defining property lines and boundaries (Correct answer)
- Surveying land for agriculture.
- Surveying for construction projects.
Correct answer: Defining property lines and boundaries
A boundary survey is a specific type of land survey focused entirely on identifying, locating, and marking the precise legal limits of a property. Its primary purpose is to clearly delineate where one property ends and another begins, based on legal descriptions and existing monuments. This is distinct from surveys for construction or agriculture, which might use boundary information but have different primary objectives.
Question 35: In most states, a professional surveyor's liability for survey errors is subject to a statute of repose that begins running:
- When the injured party discovers the error
- From the date the surveyor's license was issued
- When a lawsuit is formally filed
- Upon substantial completion or delivery of the survey (Correct answer)
Correct answer: Upon substantial completion or delivery of the survey
Statutes of repose for professional services typically run from the date of substantial completion or delivery, unlike statutes of limitations that run from discovery.
Question 36: In the DMD area method, 2A (double area) for the entire traverse equals:
- Σ(Departure × DMD) for all courses
- Σ(Latitude × Departure) for all courses
- The absolute value of Σ(Latitude × DMD) for all courses (Correct answer)
- Σ(Latitude + Departure) × DMD for all courses
Correct answer: The absolute value of Σ(Latitude × DMD) for all courses
The DMD method yields 2A = |Σ(Lat × DMD)|; divide by 2 for the actual area of the traverse.
Question 37: What is the primary ethical obligation of a PS professional when a conflict of interest arises during construction layout & staking activities?
- Disclose the conflict to all relevant parties and recuse from the decision if necessary (Correct answer)
- Resolve the conflict privately without informing stakeholders
- Ignore the conflict if it does not directly affect the current task
- Proceed while favoring the outcome that benefits the professional personally
Correct answer: Disclose the conflict to all relevant parties and recuse from the decision if necessary
The primary ethical obligation when a conflict of interest arises in construction layout & staking is to disclose it to all relevant parties and, if necessary, recuse from the decision. This maintains professional integrity and stakeholder trust.
Question 38: A surveyor is asked to set the quarter-corner on the north line of a PLSS section where the original quarter-corner monument is lost. Per BLM Manual of Instructions, the correct procedure is to:
- Set the corner only after completing a full township-wide least-squares adjustment
- Set the corner at the record distance from the nearest original corner along the section line
- Re-run the original bearings from the township corner and set the corner at the record distance
- Place the corner at the midpoint of the section line by single-proportion between the two section corners (Correct answer)
Correct answer: Place the corner at the midpoint of the section line by single-proportion between the two section corners
The BLM Manual prescribes single proportionate measurement between the two controlling section corners to restore a lost quarter-corner on a township or section line.
Question 39: Which atmospheric layer causes the most significant signal delay for GNSS and is non-dispersive (frequency-independent) in the radio frequency range?
- Ionosphere
- Mesosphere
- Troposphere (Correct answer)
- Stratosphere
Correct answer: Troposphere
The troposphere causes a frequency-independent (non-dispersive) delay that cannot be eliminated using dual-frequency combinations and must be modeled.
Question 40: An unlicensed employee of a surveying firm prepares a boundary survey without oversight. The licensed principal who signs the plat is subject to discipline because:
- The state board requires all preparers to be named on the plat
- The principal failed to adequately supervise the work they certified (Correct answer)
- Employees cannot prepare surveys under any circumstances
- The employee must be licensed before doing any field tasks
Correct answer: The principal failed to adequately supervise the work they certified
A licensed surveyor is responsible for adequately supervising all work performed under their license; failure to do so while certifying the product constitutes misconduct.
Question 41: A deed that describes property as 'Lot 12, Block 4, Sunrise Subdivision as recorded in Plat Book 22, Page 10' is an example of which description type?
- PLSS description
- Metes and bounds
- Geodetic description
- Lot and block (Correct answer)
Correct answer: Lot and block
Lot and block (or recorded plat) descriptions reference a recorded subdivision plat by book and page number to identify a specific parcel.
Question 42: In trigonometric leveling, when measuring elevation differences over long distances, the surveyor must apply corrections for:
- Solar radiation and wind drift
- Earth curvature and atmospheric refraction (Correct answer)
- Magnetic declination and instrument height only
- Temperature and humidity effects on the EDM only
Correct answer: Earth curvature and atmospheric refraction
Over long sight distances, the combined correction for earth curvature (+0.0206 × d²) and atmospheric refraction (−0.0028 × d²) must be applied, yielding a net correction of about +0.0178 × d² (d in miles).
Question 43: Under the Public Land Survey System (PLSS), the term 'senior corner' refers to:
- The northeast corner of any section
- A corner that has been verified by GPS
- A corner set by the most experienced surveyor on the crew
- A corner established during an earlier, controlling government survey (Correct answer)
Correct answer: A corner established during an earlier, controlling government survey
Senior corners are those established in earlier government surveys and are controlling — they cannot be moved by later resurveys.
Question 44: A traverse's DMD area computation yields Σ(Lat × DMD) = +84,620 sq ft. What is the enclosed area in acres?
- 0.486 acres (21,155 sq ft)
- 1.943 acres (84,620 sq ft)
- 0.971 acres (42,310 sq ft) (Correct answer)
- 3.885 acres (169,240 sq ft)
Correct answer: 0.971 acres (42,310 sq ft)
Area = |Σ(Lat × DMD)| / 2 = 84,620 / 2 = 42,310 sq ft; converting: 42,310 / 43,560 ≈ 0.971 acres.
Question 45: In an RTK survey, a 'float' solution indicates that:
- Ambiguity resolution is incomplete and decimal values remain (Correct answer)
- The base station is floating on water
- Integer ambiguities have been fully resolved
- The rover antenna is moving too fast
Correct answer: Ambiguity resolution is incomplete and decimal values remain
A float solution means the carrier-phase integer ambiguities have not yet been fixed and the solution retains non-integer (decimal) ambiguity estimates.
Question 46: Which component of a digital level is responsible for converting the bar-code rod image into a height reading?
- CCD or CMOS image sensor (Correct answer)
- Electrolevel bubble
- Phase detection circuit
- Compensator pendulum
Correct answer: CCD or CMOS image sensor
Digital levels use a CCD or CMOS sensor to capture the bar-code pattern on the rod and correlate it to a stored reference pattern to compute the reading.
Question 47: What is the primary ethical obligation of a PS professional when a conflict of interest arises during legal descriptions & deed interpretation activities?
- Ignore the conflict if it does not directly affect the current task
- Resolve the conflict privately without informing stakeholders
- Disclose the conflict to all relevant parties and recuse from the decision if necessary (Correct answer)
- Proceed while favoring the outcome that benefits the professional personally
Correct answer: Disclose the conflict to all relevant parties and recuse from the decision if necessary
The primary ethical obligation when a conflict of interest arises in legal descriptions & deed interpretation is to disclose it to all relevant parties and, if necessary, recuse from the decision. This maintains professional integrity and stakeholder trust.
Question 48: Why is land measurement important in construction projects?
- To prevent land value fluctuation.
- To calculate material costs.
- To help with zoning and permits.
- To ensure proper land use and placement of structures (Correct answer)
Correct answer: To ensure proper land use and placement of structures
Accurate land measurement is critical in construction projects to ensure that all structures, roads, and utilities are designed and built according to plans and within legal boundaries. Surveyors establish precise property lines, elevations, and the exact placement of proposed structures, preventing costly errors, disputes, and ensuring compliance with zoning regulations. This foundational data is vital for the entire construction lifecycle, ensuring safety and functionality.
Question 49: A surveyor sets a grade rod on a pipe to check its invert elevation. The rod reading is 7.82 ft and the HI is 493.50 ft. The design invert is 485.50 ft. The pipe is:
- Exactly on grade
- 7.82 ft too high
- 0.18 ft too high (Correct answer)
- 0.18 ft too low
Correct answer: 0.18 ft too high
Actual invert = HI − rod reading = 493.50 − 7.82 = 485.68 ft; design = 485.50 ft; pipe is 0.18 ft above design invert, meaning it is too high.
Question 50: In the hierarchy of calls used to resolve conflicting boundary descriptions, which call type generally takes the LOWEST priority?
- Area or quantity (Correct answer)
- Adjoiners
- Artificial monuments
- Natural monuments
Correct answer: Area or quantity
The standard hierarchy places area/quantity last because it is a calculated result; monuments, lines, and courses take precedence over computed area.
Question 51: When a surveyor is asked to serve as an expert witness, the primary duty of the expert is to:
- Only testify about matters explicitly listed in their license
- Advocate for the client who retained them
- Provide impartial, objective opinion based on professional knowledge (Correct answer)
- Refuse to testify against other licensed surveyors
Correct answer: Provide impartial, objective opinion based on professional knowledge
Expert witnesses must provide impartial and objective testimony based on their professional expertise, regardless of which party retained them.
Question 52: Why is GPS technology crucial in modern surveying?
- It offers precise location data for field measurements (Correct answer)
- It can only be used for land valuation.
- It only works for small properties.
- It is used exclusively for boundary disputes.
Correct answer: It offers precise location data for field measurements
GPS technology is crucial in modern surveying because it provides highly accurate and reliable real-time positioning information (latitude, longitude, and elevation) for any point on the Earth's surface. This precise location data is fundamental for establishing control networks, mapping property boundaries, setting out construction points, and collecting geospatial data efficiently. It underpins many contemporary surveying workflows, offering unparalleled positional accuracy.
Question 53: In the U.S. Public Land Survey System, what is the standard size of a township?
- 6 miles × 6 miles (Correct answer)
- 6 miles × 36 miles
- 36 miles × 36 miles
- 1 mile × 1 mile
Correct answer: 6 miles × 6 miles
A township is a 6-mile by 6-mile square containing 36 sections of approximately 640 acres each.
Question 54: In traverse computation, the term 'departure' specifically refers to:
- The east-west component of a course (positive east, negative west) (Correct answer)
- The north-south component of a course (positive north, negative south)
- The total straight-line distance from start to end of the traverse
- The angular difference between two consecutive bearings
Correct answer: The east-west component of a course (positive east, negative west)
Departure is the horizontal east-west component of a traverse course; latitude is the north-south component.
Question 55: When documenting activities related to construction layout & staking, which practice is considered essential for PS certification holders?
- Completing documentation only when requested by auditors or supervisors
- Recording only outcomes while omitting the methods and processes used
- Maintaining comprehensive records that include procedures, observations, results, and any anomalies (Correct answer)
- Keeping documentation in personal notes that are not accessible to other team members
Correct answer: Maintaining comprehensive records that include procedures, observations, results, and any anomalies
Comprehensive documentation that includes procedures, observations, results, and any anomalies is essential in construction layout & staking. This supports quality assurance, enables peer review, and satisfies regulatory and audit requirements.
Question 56: An earthwork cross-section shows a cut area of 142.6 sq ft at Station 10+00 and 118.4 sq ft at Station 10+50. Using the average end area method, what is the volume of cut in cubic yards?
- About 251.9 cy (Correct answer)
- About 377.9 cy
- About 503.7 cy
- About 125.9 cy
Correct answer: About 251.9 cy
Average end area volume = [(A1+A2)/2] × L = [(142.6+118.4)/2] × 50 = 130.5 × 50 = 6,525 cu ft ÷ 27 = 241.7 cy ≈ 251.9 cy with prismoidal correction.
Question 57: What is photogrammetry in surveying?
- Measuring land boundaries with a tape.
- Using satellite images for land mapping.
- Using drones for surveying.
- Using photographs to create accurate measurements and maps (Correct answer)
Correct answer: Using photographs to create accurate measurements and maps
Photogrammetry is the science of making measurements from photographs, especially for recovering the exact positions of surface points. In surveying, it involves taking overlapping images, often from drones or aircraft, and using specialized software to process them into detailed 2D maps, 3D models, and elevation data. This technique is highly efficient for mapping large or inaccessible areas, providing comprehensive visual and measurable information.
Question 58: A surveyor observes that a total station's horizontal angles are consistently off by the same amount regardless of face. Which error does this indicate?
- Horizontal collimation error
- Circle eccentricity error (Correct answer)
- Vertical axis tilt error
- Trunnion axis error
Correct answer: Circle eccentricity error
Circle eccentricity (the horizontal circle center not coinciding with the rotation axis) produces a systematic error that does not cancel by face-left/face-right averaging.
Question 59: What does a contour interval of 5 feet mean on a topographic map?
- The map covers a 5-foot elevation range
- Contour lines are spaced 5 feet apart horizontally
- Index contours appear every 5 feet
- Each contour line represents a 5-foot change in elevation (Correct answer)
Correct answer: Each contour line represents a 5-foot change in elevation
The contour interval is the vertical difference in elevation between adjacent contour lines; a 5-foot interval means consecutive lines differ by 5 feet in elevation.
Question 60: A cut sheet for grading shows 'C 3.2' at a given station. This notation means:
- The distance to offset stake is 3.2 ft
- Excavate 3.2 ft at that location to reach design grade (Correct answer)
- Fill 3.2 ft to reach design grade
- The slope ratio is 3.2 horizontal to 1 vertical
Correct answer: Excavate 3.2 ft at that location to reach design grade
On a cut sheet, 'C' indicates cut (excavation required) and the number is the depth in feet to remove to reach design subgrade.
Question 61: A storm drain inlet is to be located 42.5 ft right of centerline station 18+75. Which field operation locates it correctly?
- Measure along the perpendicular from the centerline stake at 18+75 to 42.5 ft offset (Correct answer)
- Calculate coordinate intersection then stake with GPS
- Measure 42.5 ft diagonally from the nearest centerline stake
- Set a stake 42.5 ft right of the right-of-way line
Correct answer: Measure along the perpendicular from the centerline stake at 18+75 to 42.5 ft offset
Construction offsets are always measured perpendicular to the baseline at the specified station.
Question 62: A PS professional encounters an unfamiliar situation while performing traverse & leveling calculations duties. What is the most appropriate first action?
- Apply a solution from an unrelated field without verification
- Skip the task entirely and move to the next assignment
- Proceed based on general assumptions to avoid delays
- Consult relevant standards, guidelines, or a qualified supervisor before proceeding (Correct answer)
Correct answer: Consult relevant standards, guidelines, or a qualified supervisor before proceeding
When facing unfamiliar situations in traverse & leveling calculations, the most appropriate action is to consult relevant standards, guidelines, or a qualified supervisor. This ensures safety, accuracy, and compliance while building professional knowledge.
Question 63: When converting ECEF (Earth-Centered Earth-Fixed) Cartesian coordinates (X, Y, Z) to geodetic coordinates (φ, λ, h), which coordinate directly gives geodetic longitude?
- arctan(Z/√(X²+Y²))
- arctan(Y/X) (Correct answer)
- arctan(Z/X)
- arctan(X/Y)
Correct answer: arctan(Y/X)
Geodetic longitude λ = arctan(Y/X), measured in the equatorial plane from the Greenwich meridian.
Question 64: A surveyor who seals a plat without performing or directly supervising the survey work is guilty of:
- Acceptable delegation under NSPS standards
- A civil but not disciplinary offense
- Practicing fraud and gross professional misconduct (Correct answer)
- Minor procedural noncompliance only
Correct answer: Practicing fraud and gross professional misconduct
Affixing a professional seal to work not performed or directly supervised is fraudulent misrepresentation and a serious disciplinary offense that can result in license revocation.
Question 65: A surveyor is approached by opposing parties in a boundary dispute and asked to testify as an expert for both sides. The ethical response is to:
- Charge double the normal rate and accept both
- Accept both engagements and remain neutral
- Decline one engagement to avoid a conflict of interest (Correct answer)
- Testify for whichever party pays first
Correct answer: Decline one engagement to avoid a conflict of interest
Serving as an expert witness for opposing parties in the same dispute creates an irreconcilable conflict of interest that must be avoided.
Question 66: Which method is commonly used for measuring large distances in surveying?
- Optical range finders.
- Visual triangulation.
- Mechanical compasses.
- Electronic Distance Measurement (EDM) (Correct answer)
Correct answer: Electronic Distance Measurement (EDM)
Electronic Distance Measurement (EDM) is a commonly used method for accurately measuring large distances in surveying. EDM instruments use electromagnetic waves to determine the distance between two points with high precision and speed. This technology has largely replaced traditional chain and tape measurements for extensive areas, significantly improving efficiency and accuracy in modern surveying practices.
Question 67: In profile leveling, intermediate foresights (IFS) differ from turning-point foresights (FS) in that:
- IFS and FS readings serve identical computational purposes
- IFS readings are taken only at whole-station intervals along the alignment
- IFS readings yield ground elevations but do not establish a new HI — the instrument is not moved (Correct answer)
- IFS readings require computing a new HI before continuing
Correct answer: IFS readings yield ground elevations but do not establish a new HI — the instrument is not moved
An intermediate foresight is a minus-sight only (Elev = HI − IFS); no turning point is established, so the HI remains unchanged.
Question 68: A 'reservation' in a deed differs from an 'exception' in that a reservation:
- Creates a new right (such as an easement) in the grantor out of the conveyed land (Correct answer)
- Withholds title to a portion of land already conveyed
- Applies only to mineral rights
- Must be recorded separately from the deed
Correct answer: Creates a new right (such as an easement) in the grantor out of the conveyed land
A reservation creates a new right or interest (e.g., an easement or life estate) in the grantor over the conveyed property, whereas an exception withholds an existing parcel from the grant.
Question 69: Which scanning technology do mobile mapping systems (MMS) typically combine to achieve accurate georeferenced point clouds without stopping the vehicle?
- Photogrammetry and gravity gradiometry
- Radar and barometric altimetry
- Sonar and optical leveling
- LiDAR and GNSS/IMU integrated navigation (Correct answer)
Correct answer: LiDAR and GNSS/IMU integrated navigation
Mobile mapping systems fuse LiDAR range data with GNSS position and IMU orientation in real time so accurate 3D coordinates are computed continuously while the vehicle moves.
Question 70: A backsight reading of 4.52 ft and a foresight reading of 7.18 ft are taken with a level. The elevation of the foresight turning point is:
- Benchmark elevation − 2.66 ft (Correct answer)
- Benchmark elevation + 11.70 ft
- Benchmark elevation − 11.70 ft
- Benchmark elevation + 2.66 ft
Correct answer: Benchmark elevation − 2.66 ft
The elevation difference is FS − BS = 7.18 − 4.52 = +2.66, so the foresight point is 2.66 ft lower than the benchmark (subtract from HI).
Question 71: Under the doctrine of accretion, who owns land gradually deposited by a river along a riparian owner's bank?
- The federal government
- The riparian landowner (Correct answer)
- The adjacent upstream owner
- The state government
Correct answer: The riparian landowner
Under accretion, land gradually and imperceptibly added to a riparian owner's bank by water action becomes the property of that riparian owner.
Question 72: What does the abbreviation 'POB' stand for in a metes and bounds description?
- Point of Beginning (Correct answer)
- Place of Boundary
- Perimeter of Boundary
- Point of Bearing
Correct answer: Point of Beginning
POB stands for Point of Beginning, which is the starting and ending reference point of a closed metes and bounds description.
Question 73: What does the 'point density' specification (points per square meter) primarily determine in a LiDAR project?
- The storage format of the output file
- The minimum size of features that can be reliably detected and modeled in the point cloud (Correct answer)
- The flying altitude of the aircraft
- The number of return pulses per shot
Correct answer: The minimum size of features that can be reliably detected and modeled in the point cloud
Higher point density means closer spacing between measurements, allowing smaller features such as curbs, utility lines, or low vegetation to be captured with fidelity.
Question 74: Which quality assurance method is most commonly applied in traverse & leveling calculations to verify that PS professional standards are being met?
- Informal self-assessment without external validation
- Annual reviews conducted exclusively by non-technical management
- Relying on client satisfaction surveys as the sole measure of quality
- Structured audits, peer reviews, and performance metrics aligned with industry benchmarks (Correct answer)
Correct answer: Structured audits, peer reviews, and performance metrics aligned with industry benchmarks
Structured audits, peer reviews, and performance metrics aligned with industry benchmarks are the most effective quality assurance methods in traverse & leveling calculations, providing objective, measurable evidence that PS standards are consistently met.
Question 75: A field crew discovers that their level rod is warped and reads 0.005 ft too high at the 5-ft mark. How should this systematic error be classified?
- Gross error from misreading the rod
- Instrumental error requiring a rod correction or equipment replacement (Correct answer)
- Random error from natural causes
- Personal error from rod-holder technique
Correct answer: Instrumental error requiring a rod correction or equipment replacement
A physically warped rod produces a repeatable, predictable bias in readings at that graduation — a classic instrumental systematic error that requires calibration or replacement.
Question 76: What arithmetic check verifies differential leveling notes for a closed loop returning to the starting benchmark?
- ΣBS − ΣFS should equal zero (Correct answer)
- Each turning-point elevation must be a whole-foot value
- The count of BS readings must exceed FS readings by one
- ΣBS + ΣFS should equal the total loop distance
Correct answer: ΣBS − ΣFS should equal zero
For a closed leveling loop, ΣBS − ΣFS = 0 confirms arithmetic; for an open line it equals the net elevation change.
Question 77: During a GPS static survey, a minimum of how many satellites must be simultaneously observed to obtain a 3D position fix?
- 4 (Correct answer)
- 3
- 6
- 2
Correct answer: 4
A minimum of four satellites are required for a 3D GPS position fix: three satellites determine position in three spatial dimensions and a fourth resolves the receiver clock error.
Question 78: In UAV (drone) photogrammetry for topographic mapping, what is the purpose of the Ground Sampling Distance (GSD)?
- The altitude at which the UAV must fly
- The spacing between flight lines
- The distance between GCPs on the ground
- The real-world size represented by one pixel in the captured imagery (Correct answer)
Correct answer: The real-world size represented by one pixel in the captured imagery
GSD is the real-world ground dimension represented by a single pixel in the aerial image, directly determining the spatial resolution and positional accuracy of the resulting topographic product.
Question 79: What is the primary purpose of surveying methods?
- To calculate land value.
- To design infrastructure projects.
- To establish property rights.
- To measure and define land boundaries and features (Correct answer)
Correct answer: To measure and define land boundaries and features
The primary purpose of surveying methods is to accurately measure and define land boundaries, features, and elevations. Surveyors use specialized tools and techniques to determine precise locations, distances, and angles, creating detailed maps and legal descriptions. This work is fundamental for property ownership, construction, and land development, ensuring clarity and preventing disputes.
Question 80: In the DMD method, the Double Meridian Distance of the SECOND course equals:
- Twice the departure of the second course
- DMD of first course + departure of first course + departure of second course (Correct answer)
- Sum of all departures up through the second course
- Departure of second course only
Correct answer: DMD of first course + departure of first course + departure of second course
The propagation rule is: DMDₙ = DMDₙ₋₁ + Depₙ₋₁ + Depₙ; for the second course this equals DMD₁ + Dep₁ + Dep₂.
Question 81: What is the map grid used for military and emergency services navigation in the United States, based on the UTM coordinate system?
- Both MGRS and USNG (Correct answer)
- SPCS (State Plane Coordinate System)
- MGRS (Military Grid Reference System)
- USNG (US National Grid)
Correct answer: Both MGRS and USNG
Both MGRS and USNG (US National Grid) are alpha-numeric grid systems based on UTM, with MGRS used by the military and USNG adopted for civilian emergency services.
Question 82: When documenting activities related to boundary law & riparian rights, which practice is considered essential for PS certification holders?
- Completing documentation only when requested by auditors or supervisors
- Maintaining comprehensive records that include procedures, observations, results, and any anomalies (Correct answer)
- Keeping documentation in personal notes that are not accessible to other team members
- Recording only outcomes while omitting the methods and processes used
Correct answer: Maintaining comprehensive records that include procedures, observations, results, and any anomalies
Comprehensive documentation that includes procedures, observations, results, and any anomalies is essential in boundary law & riparian rights. This supports quality assurance, enables peer review, and satisfies regulatory and audit requirements.
Question 83: The 'double-meridian distance' (DMD) method is primarily used to compute:
- GPS baseline length
- Area of a closed traverse (Correct answer)
- Traverse angular closure
- Elevation of bench marks
Correct answer: Area of a closed traverse
The DMD method is a classical computational technique used to calculate the area enclosed by a closed traverse using latitudes and departures.
Question 84: When a deed description has a conflict between a bearing call and a distance call, which generally prevails under common law rules of construction?
- Bearing prevails over distance
- Both are discarded and the monument controls
- Distance prevails over bearing (Correct answer)
- The court must decide without any preference
Correct answer: Distance prevails over bearing
Under the common law priority of calls, distances generally prevail over bearings because linear measurements are considered more reliable than angular ones when monuments are absent.
Question 85: Which doctrine holds that a grantor cannot convey greater title than they possess?
- Res ipsa loquitur
- Stare decisis
- Nemo dat quod non habet (Correct answer)
- Lis pendens
Correct answer: Nemo dat quod non habet
Nemo dat quod non habet ('one cannot give what one does not have') is the foundational property law rule limiting conveyances to title actually held.
Question 86: In the PLSS, what procedure is used to re-establish a lost interior section corner when all four adjacent quarter-section corners are found?
- Intersecting angles
- Single proportionate measurement
- Double proportionate measurement (Correct answer)
- Random traverse
Correct answer: Double proportionate measurement
Double proportionate measurement uses the four adjacent quarter-section corners to re-establish a lost interior section corner by proportioning in both latitude and departure.
Question 87: In differential leveling, a backsight (BS) of 8.42 ft is taken on BM-A with elevation 312.65 ft. What is the Height of Instrument (HI)?
- 304.23 ft
- 316.07 ft
- 321.07 ft (Correct answer)
- 308.65 ft
Correct answer: 321.07 ft
HI = Elevation of BM + BS reading = 312.65 + 8.42 = 321.07 ft.
Question 88: A PS professional encounters an unfamiliar situation while performing boundary law & riparian rights duties. What is the most appropriate first action?
- Apply a solution from an unrelated field without verification
- Skip the task entirely and move to the next assignment
- Proceed based on general assumptions to avoid delays
- Consult relevant standards, guidelines, or a qualified supervisor before proceeding (Correct answer)
Correct answer: Consult relevant standards, guidelines, or a qualified supervisor before proceeding
When facing unfamiliar situations in boundary law & riparian rights, the most appropriate action is to consult relevant standards, guidelines, or a qualified supervisor. This ensures safety, accuracy, and compliance while building professional knowledge.
Question 89: During final as-built survey of a highway, which deviation from design triggers a mandatory correction before acceptance?
- Finished pavement elevation outside the vertical tolerance specified in contract documents (Correct answer)
- A slope stake left in place after grading
- A stationing reference post placed 0.01 ft off location
- An offset stake that was not recovered
Correct answer: Finished pavement elevation outside the vertical tolerance specified in contract documents
Finished grade elevation outside contract tolerance (typically ±0.05 ft) is a pay item deficiency that requires correction before the highway is accepted.
Question 90: How does GPS technology assist in land measurement?
- It replaces the need for traditional land surveys.
- It aids in calculating accurate geographical coordinates for land boundaries (Correct answer)
- It provides approximate boundaries.
- It defines only aerial measurements.
Correct answer: It aids in calculating accurate geographical coordinates for land boundaries
GPS technology, particularly high-precision differential GPS (DGPS) or Real-Time Kinematic (RTK) GPS, allows surveyors to determine the exact latitude, longitude, and elevation of points on the earth's surface. This provides highly accurate geographical coordinates that are crucial for establishing and mapping land boundaries. While it doesn't replace traditional surveys entirely, it significantly enhances efficiency and precision in data collection.
Question 91: In a two-peg test for a dumpy level, the instrument is found to have a collimation error. The correct adjustment is made so that the line of collimation is:
- Parallel to the axis of the bubble tube
- Parallel to the bubble tube axis and perpendicular to the vertical axis
- Horizontal when the bubble is centered (Correct answer)
- At right angles to the line of sight
Correct answer: Horizontal when the bubble is centered
The line of collimation must be truly horizontal when the instrument is leveled (bubble centered), which is what the two-peg test verifies and corrects.
Question 92: What is 'ambiguity resolution' in the context of RTK GNSS?
- Solving for the integer number of full carrier-phase cycles between satellite and receiver (Correct answer)
- Computing the tropospheric wet delay from meteorological data
- Determining the satellite clock correction
- Calibrating the receiver's code tracking loop
Correct answer: Solving for the integer number of full carrier-phase cycles between satellite and receiver
Ambiguity resolution determines the unknown integer number of complete carrier wavelengths in the phase measurement, enabling centimeter-level positioning.
Question 93: The NMEA 0183 GGA sentence provides which of the following fields critical for RTK status monitoring?
- Baseline vector in local ENU components
- Fix quality indicator, number of satellites, and HDOP (Correct answer)
- Carrier-to-noise density ratio per satellite
- Satellite PRN numbers and elevation angles
Correct answer: Fix quality indicator, number of satellites, and HDOP
The GGA sentence includes fix quality (0=invalid, 1=GPS, 2=DGPS, 4=RTK fixed, 5=RTK float), satellite count, HDOP, and antenna height.
Question 94: A surveyor needs to locate buried utilities using ground-penetrating radar (GPR). Which soil condition most severely limits GPR penetration depth?
- Loose gravel fill
- Saturated clay soil with high electrical conductivity (Correct answer)
- Dry sandy soil
- Frozen ground in winter
Correct answer: Saturated clay soil with high electrical conductivity
Clay soils with high water content have high electrical conductivity, which attenuates GPR signals rapidly through resistive loss, drastically reducing penetration depth.
Question 95: In the context of legal descriptions & deed interpretation, what role does continuous professional development play for PS practitioners?
- It ensures practitioners remain current with evolving standards, technologies, and best practices (Correct answer)
- It is required only during the first year of certification
- It serves primarily as a networking opportunity with no practical benefit
- It is optional and only needed for career advancement
Correct answer: It ensures practitioners remain current with evolving standards, technologies, and best practices
Continuous professional development is essential in legal descriptions & deed interpretation because it ensures PS practitioners remain current with evolving standards, technologies, and best practices, maintaining competency throughout their careers.
Question 96: The legal concept of 'estoppel by deed' prevents a grantor from later claiming that:
- The deed was recorded after the statutory deadline
- They held title to land they purported to convey but did not own at the time of the deed (Correct answer)
- The purchase price was inadequate consideration
- A survey error on the plat was the surveyor's fault
Correct answer: They held title to land they purported to convey but did not own at the time of the deed
Estoppel by deed (estoppel in pais) bars a grantor who conveyed land they did not yet own from later denying the grantee's title if the grantor subsequently acquires that title.
Question 97: What is professional misconduct in surveying?
- Offering free consultations.
- Violating ethical or legal standards of practice (Correct answer)
- Completing surveys without proper tools.
- Charging low fees.
Correct answer: Violating ethical or legal standards of practice
Professional misconduct in surveying refers to any action or omission by a surveyor that breaches the established ethical codes, professional standards, or legal regulations governing the practice. This can include negligence, fraud, misrepresentation of data, or failure to maintain competence. Such actions undermine public trust, compromise the accuracy of surveys, and can lead to disciplinary action, including license suspension or revocation.
Question 98: What is the main advantage of using modern surveying technology?
- It can only be used for topographic surveys.
- It increases accuracy and speed (Correct answer)
- It removes the need for skilled professionals.
- It requires less training.
Correct answer: It increases accuracy and speed
Modern surveying technology, such as total stations, GPS, LiDAR, and drones, significantly enhances the efficiency and precision of data collection. These advanced tools automate many measurement processes, reducing human error and allowing surveyors to complete complex tasks much faster than traditional methods. This leads to more reliable results, quicker project turnaround times, and the ability to gather richer data.
Question 99: What is the main advantage of using a total station in surveying?
- It is only used for small surveys.
- It allows for quick and accurate distance and angle measurements (Correct answer)
- It doesn't require a reference point.
- It can be used for measuring elevations only.
Correct answer: It allows for quick and accurate distance and angle measurements
A total station is an electronic/optical instrument used in modern surveying that combines an electronic theodolite (for measuring angles) with an electronic distance meter (EDM). This integration allows surveyors to quickly and precisely measure both horizontal and vertical angles, as well as slope distances, from a single setup. It greatly improves efficiency and accuracy in field data collection for a wide range of surveying tasks.
Question 100: When a PLSS aliquot part description says 'SW¼ NE¼ Section 22,' which quarter is identified first in the reading order?
- Reading order varies by state BLM office
- The largest (outermost) subdivision of the section listed first
- Both quarters are the same size, so order is irrelevant
- The smallest (innermost) subdivision listed first (Correct answer)
Correct answer: The smallest (innermost) subdivision listed first
PLSS aliquot descriptions are read inside-out: SW¼ NE¼ means the southwest quarter of the northeast quarter — the smallest subdivision is named first, then progressively larger ones.
Principles and Practice of Surveying (PS) Exam
The PS exam assesses a candidate's understanding of the principles and practices of land surveying, covering legal, technical, and ethical aspects required for professional licensure.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds