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Exam Generator Problems

Additional board-style practice items for this topic.

Question Bank: t1271

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

Given the following cross-section notes for a 12-meter wide road. Side slopes (in cut) is 3H to 2V. [Left: y / 12, Center: 5 / 0, Right: 3 / x]. What is the area of the cross-section?

  1. 88.25 sq. m.
  2. 96.75 sq. m.
  3. 77.25 sq. m.
  4. 72.75 sq. m.

Solution pending in psadquestions/t1271.json.

Question Bank: t1273

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

Given the following cross-section notes for a road in cut: [Left: x / +2.5, Center: 0 / +c, Right: 7.8 / +y]. The road has a width of 10 m and its sides have slope of 2:1. The area of the cross section is 47.4 m^2.

What is the value of x?

  1. 10
  2. 5
  3. 7.5
  4. 15

What is the value of y?

  1. 1.4
  2. 2.8
  3. 5.6
  4. 3.4

What is the value of c?

  1. 2.67
  2. 3.56
  3. 5.21
  4. 4.23

Solution pending in psadquestions/t1273.json.

Question Bank: t1280

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

From Station A with center height of 1.4 m in fill, the ground makes a uniform slope of 5% to Station B whose center height is 2.8 m in cut. Assuming both sections to be level sections having a width of roadway of 10 m and side slope of 3:2 for both cut and fill, compute the cross-sectional area of fill 12 m from Station A. Distance from Station A to Station B is 60 m.

  1. 8.65 m^2
  2. 5.47 m^2
  3. 6.58 m^2
  4. 6.07 m^2

Solution pending in psadquestions/t1280.json.

Question Bank: t1281

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

The center height of the road at station 6 + 420 is 2 meters fill and at station 6 + 470 is 1.20 meters cut. The ground makes a uniform slope o +4.8% from station 6 + 420 to station 6 + 470.

What is the slope of the road?

  1. -1.2%
  2. -1.6%
  3. -1.4%
  4. -1.8%

How far from station 6 + 420 will the fill extend?

  1. 26.75 m
  2. 42.25 m
  3. 31.25 m
  4. 34.52 m

What is the stationing of the point up to which the fill is extended?

  1. 6 + 454.52
  2. 6 + 451.25
  3. 6 + 446.75
  4. 6 + 462.25

Solution pending in psadquestions/t1281.json.

Question Bank: t1288

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

Given the following road cross-section notes in cut: [Station 1000 + 100: 2.75 / 9.45, 1.00 / 0.00, 0.50 / 4.50; Station 1000 + 220: 2.50 / 8.50, 1.25 / 0.00, 0.80 / 6.00]. Width of roadway is 8 m.

Determine the area of cut at Station 1000 + 100 in square meter.

  1. 13.475
  2. 12.586
  3. 15.663
  4. 10.685

Determine the area of cut at Station 1000 + 220 in square meter.

  1. 12.586
  2. 10.685
  3. 13.475
  4. 15.663

Determine the volume of cut using the end-area method in cubic meter.

  1. 1,856.36
  2. 1,748.25
  3. 1,625.36
  4. 1,997.58

Solution pending in psadquestions/t1288.json.

Question Bank: t1294

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

The longitudinal ground profile and the gradeline shows that the length of cut is 380 m while the length of fill is 520 m. The width of the roadbed is 12 m for both cut and fill. The profile areas between the groundline and the gradeline, which are parallel, are 3400 m^2 for cut and 4550 m^2 for fill. Find the difference between the volume of fill and the volume of cut in cubic meters if the side slopes are 1.5:1 for cut and 2:1 for fill.

  1. 56,124
  2. 38,147
  3. 42,365
  4. 47,793

Solution pending in psadquestions/t1294.json.

Question Bank: t1295

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

A ground makes uniform slope of -5% from Station 5 + 350 to Station 5 + 440. At Station 5 + 350, the centerheight of the road is 2.6 m cut and in Station 5 + 440 the centerheight is 4.5 meter fill. The uniform base width of the road is 12 m and the side slope of both cut and fill is 1:1.

What is the grade of the finished roadway?

  1. 3.21%
  2. 2.89%
  3. 2.32%
  4. 1.78%

What is the volume of cut in cubic meter?

  1. 1337
  2. 1925
  3. 784
  4. 588

What is the volume of waste or borrow in cubic meter?

  1. 588
  2. 1337
  3. 784
  4. 1925

Solution pending in psadquestions/t1295.json.

Question Bank: t1301

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

A 90 m × 90 m borrow pit is to be divided into 9 square sections. The following are the elevations of the ground surface at the corners of each square section of the borrow pit. [Table omitted] Find the volume of earth to be excavated (in m^3) if the ground surface is to be leveled to elevation 8 m below the elevation zero.

  1. 89,910
  2. 74,510
  3. 86,310
  4. 91,210

Solution pending in psadquestions/t1301.json.

Question Bank: t1302

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

The area bounded by the waterline of a lake and contours at 2 m intervals are as follows: A1 = 25300 m^2; A2 = 22100 m^2; A3 = 19600 m^2; A4 = 17400 m^2; A5 = 15200 m^2; A6 = 12300 m^2; A7 = 9600 m^2.

Estimate the volume of water in the lake (in m^3) using the prismoidal formula.

  1. 198700
  2. 204100
  3. 207800
  4. 208100

Estimate the volume of water in the lake (in m^3) using the end-area formula.

  1. 198700
  2. 204100
  3. 207800
  4. 208100

Solution pending in psadquestions/t1302.json.

Question Bank: t1304

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

The cross-sectional area of station 2 + 210 is 40 square meters in fill and at station 2 + 810 is 60 square meter in cut. The free haul distance is 100 meters. The balancing point is at Sta. 2 + 510. The ground surface is sloping uniformly upward from Sta. 2 + 210 to Sta. 2 + 510 and also uniformly upward from Sta. 2 + 510 to Sta. 2 + 810. Determine the stationing (along fill) of the limits of free haul.

  1. 2 + 454.95
  2. 2 + 427.85
  3. 2 + 463.25
  4. 2 + 485.96

Solution pending in psadquestions/t1304.json.

Question Bank: t1310

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / Gemini mapped Chapter 7 to 10

Given the following traffic counts: [Table omitted]

What is the minimum hourly volume, in veh/hr?

  1. 2410
  2. 2560
  3. 2690
  4. 2740

What is the peak hourly traffic volume, in veh/hr?

  1. 2710
  2. 2650
  3. 2790
  4. 2810

What is the peak hour factor?

  1. 0.726
  2. 0.883
  3. 0.563
  4. 0.687

Solution pending in psadquestions/t1310.json.

Question Bank: w52

MSTE - Highway Engineering / Curves, Earthworks, and Traffic Engineering / MSTE May 2019

Given the following cross-section notes for a road grading work (format = height/distance):
$\dfrac{-3.2}{x_1}\quad \dfrac{1.2}{0}\quad \dfrac{1.2}{3.5}\quad \dfrac{2.8}{x_2}$
The roadbed is 9 m wide and the side slope for cut is 1:1 and for fill is 1.5:1. Determine the area of cut of the section.

  1. 15.425 sq. m
  2. 7.563 sq. m
  3. 9.402 sq. m
  4. 3.142 sq. m
With a 9 m roadbed (half-width 4.5 m) and a 1:1 cut slope, by similar triangles $x_3 = 2.536\text{ m}$. The cut area is the sum of the component areas to the right of the center:
$A_{cut} = \tfrac{1}{2}(2.536)(1.2) + 3.5(1.2) + \tfrac{1}{2}[1.2(3.8) + 1(2.8)]$
$\boxed{A_{cut} = 9.402\text{ m}^2}$