LSIT Math

Beginning At Station 20 + 45 , Your Survey Crew Measures A Pipe Elevation Of 100.11 Feet . Then , The Next Pipe At 23 + 44 Measures 103.99 Feet . What Is The Grade Between The Two Pipes ?

( + ) 1.30 %

What Is The Grade Of Two Points : 25 + 00 @ 100.00 Feet And 26 + 00 @ 101.50 Feet ?

( + ) 1.5 %

A 3500 ' Line Was Measured Using A 100 ' Steel Tape With An Error Of 0.015 ' Per 100 ' What Is The Error In The Total Length Of The 3500 ' Line ?

+0.088 '

Given A Vertical Curve With A G1 Of + 2.15 % , G2 Of -4.75 % , Length Of 700 ' And PVI Of 01 + 00 @ 01.39 ' , What Is The Rate - Of - Change For The Curve ?

-0.99

Bules For vertical curves

-Distances along the curve are always measured in the horizontal plane -Gangent sections alnong each greade are equal unless designated otherwise. -Measurements between the curve and tangent are changes in elevation.

A Fully Supported 100 - Ft Steel Tape Sags About 0.06 Ft At Center . About How Long Or Short Will The Chain Measure ?

0.01 ft

A Tape Is Used To Measure A 100 - Ft Line That Is About 30 Degrees ( F ) From Standard Temperature . Plus Or Minus , About How Long Or Short Will The Chain Measure ?

0.02 ft

A Series Of Taping Readings Were Observed . After Averaging These Values , The Difference Between The Mean And Mode Was Found To Be How Many Feet ? The Measured Values Were : 1.392 , 1.391 , 1.393 , 1.192 , 1.392 , 1.241 , 1.394 And 1.501 .

0.030

A Student Taped The Distance Between Found Benchmarks Five Times . What Is The Standard Deviation Of This Dataset ? The Measured Values Were : 11.39 , 11.29 , 11.40 , 11.25 , And 11.42 .

0.067

A Series Of Differential Level Readings Were Observed During The Creation Of A New County Road . After Averaging These Values , The Difference Between The Mean And Median Was Found To Be How Many Feet ? The Measured Values Were : 3.254 3.958 3.887 3.896 And 3.921 .

0.113

A Student Taped The Distance Between Found Benchmarks Five Times . What Is The Range Of This Dataset ? The Measured Values Were : 11.39 , 11.29 , 11.40 , 11.25 , And 11.42 .

0.17

Given A Vertical Curve With A G1 Of -2.10 % , G2 Of + 3.15 % , Length Of 1000 ' And PVI Of 22 + 00 @ 550 ' , What Is The Rate - Of - Change For The Curve ?

0.53 %

Three Points Form A Triangle . Point A Lies At X = 0 & Y = 0 , Point B Lies At X = 100 & Y = 0 And Point C Lies At X = 0 & Y = 200. What Is The Azimuth And Distance Between Points A And B ?

090-00-00 @ 100

A Set Of Images Are Collected At A Flying Height Of 2,500 Feet Using A Camera Focal Length Of 6 " . What Is The Scale Of The Photos ?

1 : 5,000

A Set Of Images Are Collected At A Flying Height Of 1,500m Using A Camera Focal Length Of 163mm . What Is The Scale Of The Photos ?

1 : 9,000

A Differential Level Measured The Backsight Height Eight Times . What Is The Mode Of These Distances ? The Measured Values Were : 1.392 , 1.391 , 1.393 , 1.192 , 1.392 , 1.241 , 1.394 And 1.501 .

1.392

The Foot Of A Ladder Is Placed 6 Feet From A Wall If The Top Of The Ladder Rests 8 Feet Up On The Wall , How Long Is The Ladder ?

10

Given An Equal - Tangent Vertical Curve With A G1 Of + 2.20 % , G2 Of -3.10 % , Length Of 350 ' And PVI Of 12 + 50 @ 1000 , What Is The Station And Elevation Of The PC ?

10+75.00 @ 996.15

A Total Station Measured Ten Distances On A Construction Site . What Is The Median Value Of These Distances ? The Measured Values Were : 102.68 102.14 101.99 101.97 103.03 103.05 102.29 101.85 102.88 103.06 .

102.485

A Surveyor Measures The Height Of A Building Using A Total Station . She Observes A Zenith Angle Of 77-28-31 And A Slope Distance Of 483.92 . What Is The Height Of The Building In Feet ?

104.95

What Is The Degree Of Curvature Using The Arc Definition For Curves With Radii Of 500 , 750 ' And 2000 '

11 ° 27'33 " ; 7 ° 38'22 " ; 2 ° 51'53 "

A Student Taped The Distance Between Found Benchmarks Five Times . What Is The Mean Value of These Distances ? The Measured Values Were : 11.39 , 11.29 , 11.40 , 11.25 , And 11.42 .

11.35

A 100 - Ft Steel Tape Of Cross Sectional Area 0.0019 In.2 , Weight 1.99 Lb And Standardized At 60 ° F Is Under A 18 - Lb Pull . What Is The True Horizontal Length Of A Recorded Distance AB ( 124.99 ) When The Tape Is Fully - Supported With 13 - Lb Of Tension At 88 ° F ?

125.001 '

A Baseline Was Measured Using A Steel Tape . If L1 = 32.38 +0.003 , L2 = 54.38 +0.004 And L3 = 52.99 ± 0.007 , What The Total Length Of The Line And The Total Length's Expected Error ?

139.75 ± 0.0086

Given An Equal - Tangent Vertical Curve With A G1 Of + 2.35 % , G2 Of -3.755 % , Length Of 1500 ' And PVI Of 22 + 25 @ 1250 ' , What Is The Station And Elevation Of The PC ?

14 + 75.00 @ 1232.375

A Survey Crew Taped A 1500 - Foot Segment Of A Roadway As Part Of A Construction Project . The Road Had A 2.25 % Positive Grade From The Beginning Of The Road Segment All The Way To Its End . What Was The Horizontal Distance That The Crew Taped ?

1499.62

Ten Friends Scored The Following Marks In Their End - Of - Year Math Exam : 23 % , 37 % , 45 % , 49 % , 56 % , 63 % , 63 % , 70 % , 72 % And 82 % . What Was The Standard Deviation Of Their Marks ?

16.9

Given An Equal - Tangent Vertical Curve With A G1 Of -6.10 % , G2 Of + 4.65 % , Length Of 500 ' And PVI Of 17 + 25 @ 550 ' , What Is The Station And Elevation Of The PT ?

19 + 75.00 @ 561.63

The Measured Dimensions Of A Rectangular Lot Were 5985.4 ± 0.049 By 3239.2 +0.022 . What Is The Parcel Area And The Expected Error In The Area ?

19,387,908 + 206.25

A Set Of Images Are Collected At A Flying Height Of 750m . Using A Camera Focal Length Of 152mm . What Is The Scale Of The Photos ?

1: 5,000

A Set Of Images Are Collected At A Flying Height Of 1,750 Feet MSL Using A Camera Focal Length Of 9 " . What Is The Scale Of The Photos ?

1:2,300

Your Survey Crew Has Been Asked By The Design - Build Firm To Stake - Out A Series Of New Stormwater Hook Ups For A Row Of Three New Construction Houses . The County Mainline Is Located At 17 + 25 @ 101.73 Feet . The Line Connecting The Houses To The Main Will Have A -3.25 % Grade . If The Houses Are Spaces At 100 Ft Intervals From The Main , What Are The Station And Elevation Of Hook - Up For The Third House ?

20 + 25 @ 111.48

A Booklet Has 12 Pages . With The Following Numbers Of Words : 271 , 354 296 , 301 , 333 , 326 , 285 , 298 , 327 316 , 287 And 314.What Is The Standard Deviation Number Of Words Per Page ?

22.6

A Triangle Has Sides 4 M , 5 M , And 6 M. What Is The Measure Of The Longest Side Of A Similar Triangle Whose Shortest Side Is 16 M ?

24

An Airplane Is Flying At An Altitude Of 6000 M Over The Ocean Directly Toward A Coastline . At A Certain Time , The Angle Of Depression To The Coastline From The Airplane Is 14 Degrees . How Much Further ( To The Nearest Kilometer ) Does The Airplane Have To Fly Before It Is Directly Above The Coastline?

24 km

From A Horizontal Distance Of 80.0 M , The Angle Of Elevation To The Top Of A Flagpole Is 18 Degrees . Calculate The Height Of The Flagpole To The Nearest Tenth Of A Meter .

26.0

One Cubic Yard Equals how many Cubic Feet

27 cf

Four Points Form A Square Traverse . Point A Lies At X = 1000 & Y = 0 , Point B Lies At X = 1000 & Y = 1000 And Point C Lies At X = 500 & Y = 2000. What Is The Azimuth And Distance Between Points B And C ?

333 26-06 @ 1118.03

Three Points Form A Triangle . Point A Lies At X = 1000 & Y = 0 , Point B Lies At X = 1000 & Y = 1000 And Point C Lies At X = 500 & Y = 2000. What Is The Azimuth And Distance Between Points A And C ?

345-57-50 @ 2061.55

One Cubic Meter Equals cubic Feet .

35.3

The Angle Of Elevation Of The Sun Is 68 Degrees When A Tree Casts A Shadow 14.3 M Long . How Tall Is The Tree , To The Nearest Tenth Of A Meter.

35.4

Using A Steel Tape , A Slope Distance Of 443.29 ' Was Recorded With A Hand Level's Angle Of 02-39-39 . What Is The Horizontal Distance Of The Taped Chaining Segment ?

442.8121

A Series Of Differential Level Observations Are Conducted As Follows : BS ( BM 1 ) = 4.32 , FS ( TP1 ) = 4.99 , BS ( TP1 ) = 5.21 , FS ( BM2 ) = 3.33 . The Elevation Of BM1 = 49.47 . What Is The Elevation Of BM2 ?

50.68

Lot X , A Rectangle , Was Measured As Measured 200 ± 0.001 By 300 +0.0012 . What Is The Parcel Area And The Expected Error In The Area ?

60,000+ 0.384

If The Legs Of An Isosceles Right Triangle Are 5 Inches Long , Approximate The Length Of The Hypotenuse To The Nearest Whole Number.

7

Shane Marched 3 Meters East And Then 6 Meters North How Far Did Shane Walk From The Starting Point To The Ending Point ?

7 meters

A Image With A Scale Of 1 : 10,000 Is Collected With A 9 " Focal Length Camera . What Is The Flying Height ?

7,500 AGL

A Person Flying A Kite Has Released 176 M. Of String . The String Makes An Angle Of 27 Degrees With The Ground . How High Is The Kite ? How Far Away Is The Kite Horizontally ? Answer To The Nearest Meter.

80 M high, 157 M away

A 9.0 M Ladder Rests Against The Side Of A Wall . The Bottom Of The Ladder Is 1.5 M From The Base Of The Wall . Determine The Measure Of The Angle Between The Ladder And The Ground , To The Nearest Degree.

80 degrees

If The 10 - Acre Job Requires 3.4 Feet Of Fill Over 4 Acres And 5.4 Feet Of Cut Over 6 Acres , What Is The Net Volume Of Material That Would Have To Be Moved To Grade The Site ?

818,928 ft 3 of cut

100 - Ft Steel Tape Measured 99.989 Ft When Standardized Fully Supported Under 18 - Lb Of Tension At 60 ° F . The Tape Has A Cross Sectional Area Of 0.0019 In.2 And A Weight Of 1.99 . Lb. What Is The True Horizontal Length Of A Recorded Distance AB ( 85.05 ' ) When The Tape Is Fully - Supported With 18 - Lb Of Tension At A Temperature Of 88 ° F ?

85.0252

If The 10 - Acre Job Requires 1.4 Feet Of Fill Over 3 Acres And 3.4 Feet Of Cut Over 7 Acres , What Is The Volume Of Material That Would Have To Be Moved To Level The Site ?

853,776 ft ^ 3 of cut

If The 15 - Acre Job Requires 3.5 Feet Of Fill Over 5 Acres And 2.7 Feet Of Cut Over The Remaining 10 Acres , What Is The Volume Of Material That Would Have To Be Moved To Level The Site ?

9.5 acre - feet of cut

103.99 points Beginning At Station 35 + 15 , Your Survey Crew Measures An Elevation Of 10.88 Feet For An Invert Of An 18 " Inner / 20 Outer Concrete Sewer Pipe . If The Grade From This Pipe To The Next Pipe At 36 + 15 Is ( - ) 1.25 % What Is The Invert Of The Second Pipe ?

9.63

Which Definition Of A Degree Of Curvature Is Preferred For Highway Work ?

Arc

What Type Of Traverse Is Used When Surveying With A Compass ?

Azimuth

Which Of The Following Matrices Is A Diagonal Matrix ( Select All ) ?

B and D

Which Type Of Leveling Instrument Is The LEAST Accurate ?

Barometric

What Type Of Traverse Is Most Commonly Used In Land Boundary Surveys ?

Closed Polygon

What Type Of Traverse Is Both Geometrically And Mathematically Closed ?

Closed polygon from known monument to known monument

Which Of The Following Matrices Is An Identity Matrix ?

D, All numbers are same diagonally

Which Type Of Level Directly Measures Height - Above - Terrain To Determine Differences In Elevation ?

Differential

Is The Difference Between The True Value And The Observed Value .

Error

A _________Connects Two Straight Tangent Sections .

Hirizontal Curve

Compute L , D And T Where I = 6 ° 24 ' With A PI At 44 + 15.49 And A Radius Of 1239.29 .

L = 138.43 ' ; D = 04 ° 37 ' 24 " ; T = 69.29 '

Compute LC , M And PT For A Horizontal Curve With A Length Of 300 ' , A Central Angle Of 12 ° 51 ' And A PI Of 10 + 00 .

LC = 299.37 , M = 8.40 and PT = 11 + 49.37

While Preparing For A Photogrammetric Survey , A Field Crew Sets A Series Of Five Monuments . These Monuments Are Interspersed Between Three NGS Monuments . An Adjustment Using Only The Three NGS Monuments , Along With Your Five Set Monuments , Yields What Type Of Accuracy ?

Local network accuracy

Are Caused By Misunderstanding The Problem , Carelessness , Fatigue , Missed Communication , Or Poor Judgment .

Mistakes

Errors Are Caused By Variations In Wind , Temperature , Humidity .

Natural

Classify The Angle As Acute , Obtuse , Right , Or Straight . 179 Degrees Is ?

Obtus

Given A Horizontal Curve With A Radius Of 1000 ' A Central Angle Of 28 ° And A PI Of 08 + 00 , What Is The PC And PT Of The Curve ?

PC = 05 + 50.67 ; PT = 10 + 39.37

A Vertical Curve Is Considered To Be An Equal - Tangent Curve If Which Of The Two Distances Are Equal To One Another ?

PVC to PVI and PVI to PVT

Vertical Curves Are Based On Which Of The Following Basic Shapes ?

Parabola

What Is The Error Source If The Surveyor Forgets To Enter Temperature And Pressure In The Total Station Before Measuring Distances ?

Personal

What Type Of Traverse Is Quickest To Observe But Most Susceptible To Errors / Blunders ?

Radiation

Which Variable Of A Spiral Curve Is Continually Decreasing ?

Radius

Once Mistakes Have Been Corrected And Systematic Errors Compensated , The Only Type Of Errors Remaining Are

Random

The Linear Misclosure On A 1345.08 Ft Long Link Traverse Is 0.25 Ft . This Information Can Be Used To Quickly Compute The _________ Accuracy.

Relative

Closure Ratios Stated As Units Of Error Per Unit Of Distance Are Good Ways To Determine The Amount Of Error Within Your Survey . These Closure Ratios Are Computed As What Type Of Accuracy ?

Relative accuracy

A __________Curve Consists Of Two Circular Arcs Tangent To Each Other , With Their Centers On Opposite Sides Of The Alignment .

Reverse

What Type Of Traverse Is Geometrically Open And Mathematically Closed ?

Route traverse from known monument to known monument

Which Form Of The Standard . Deviation Do We Use With Surveying Measurements ?

Sample

Standards Are The Accuracy Levels We Want To Reach While ____________ Describe The Procedures Used To Achieve Them

Specifications

Classify The Angle As Acute , Obtuse , Right , Or Straight . 180 Degrees Is ?

Straight

Compute T , L And E For A Horizontal Curve With A Radius Of 1000 ' A Central Angle Of 28 ° And A PI Of 08 + 00 .

T = 249.32 , L = 488.69 and E = 30.61

Which Type Of Level Uses Angles And Distances To Determine Differences In Elevation ?

Trigonometric

Point A Lies At X = 1000 & Y = 1000 . Setup On Point A , The Total Station Measures An Azimuth Of 23-27-00 Degrees And A Distance Of 123.00 Feet To Point B. What Are The Coordinates Of Point B ?

X=1048.94, Y=1112.84

Classify The Angle As Acute , Obtuse , Right , Or Straight . 16 Degrees

acute

A _________Curve Is Composed of Two Or More Circular Arcs Of Different Radii Tangent To Each Other , With Their Centers On The Same Side Of The Alignment .

compound

Accuracy Is Defined As :

o The difference between the true value in the measured value o Procedural requirements that will achieve a desired result o Output requirements that will achieve a desired result

Point A Lies At X = 148 & Y = -293 . Setup On Point A , The Total Station Measures An Azimuth Of 109-29-37 Degrees And A Distance Of 1025 Feet To Point B. What Are The Coordinates Of Point B ?

x= 1114.246, Y= -635.044

The Interior Angles Of An 8 - Sided Traverse Were Measured With A Total Station . The Instrument's Angle Measurement Error Was 3 " . What Is The Expected Error Of The Interior Angle Sum ?

± 8.5 "