1 POINT1. Imaginary lines passing through places where magnetic declinations are the

same at a given times.a. Agonic lines b. Isoclinic lines c. Orthogonic lines d. Isogonic lines

2. A line was measured to be 412 m using a 30-m tape, which is of standard length at a temperature of 20oC. During measurement, the temperature was 52oC. If the coefficient of thermal expansion of the tape material is 0.0000116/m-oC, calculate the correct lenght o fthe line.

a. 412.153m b. 409.845m c. 411.847m d. 413.215m

3. sin (270o + B) is equal to:a. sin B b. -sin B c. cos B d. -cos B

4. The length intercepted on the stadia rod is 3.6 m. and the line of sight makes an angle of 3o 45' with the horizontal. Find the distance, in m., from the center o fthe instrument to the rod, if the stadia constant is 0.3 and the stadia interval factor is 100.

a. 363.33 b. 361.28 c. 357.62 d. 359.14

5. The science of mapping out a big track of land and consists in taking overlapping photographs from an aeroplane flown at adequate altitude.

a. cartography b. uronography c. hydrography d. photogrammetry

6. In stadia surveying, the height of the instrument must be known in order to determine the:

a. elevation of the line of sight b. stadia distance c. probable error d. accidental error

7. A line in a map was drawn at a scale of 1.25000. An error of 0.02 mm in the drawing is equivalent to how many meters in actual?

a. 50 m b. 5 m c. 0.05 m d. 0.5 m

8. The kind of survey used for the purpose of locating working under the surface of the earth is:

a. Topographic b. Plane c. Mine d. Hydrographoc

9. A student recorded the following number of paces after walking a distance of 50 m repeatedly as 71.5, 72.0,70.0, and 69.5. He wanted to measure the distance between two points C and D. He recorded the following number of paces from C to B or back as 465,468,463, and 460. What is the distance from C to D?

a. 378 m b. 421 m c. 328 m d. 462 m

10. A straight line tangent to a level surface:a. level surface b. tangent line

c. horizontal line d. level line

11. The top of a tower signal at B 2000 m. from A way was sighted through a transit with recorded vertical angle of 2o 30'. The height of the mast is 12 m. and the H.I. of the transit above the point where it is set is 1.10 m. The elevation of the point under the transit A is 133.3 m. Compute the elevation of the base of the signal B.

a. 220 b. 225 c. 215 d. 210

12. When the temperature was 3oC, the distance from E to F was measured using a steel tape that has a standard length at 20oC with a coeffcient of thermal expansion of 0.0000116/oC. If the correct distance from E to F is 836.5 m., what is the measured distance in m.?

a. 836.665 b. 835.675 c. 836.335 d. 836.005

13. If the polar distance of a star 2o 30', what is its declination?a. 92o 30, b. 62o 30, c. 87o 30, d. 177o 30,

14. An instrument or device used to determine the area of any irregular figure plotted on a map which is drawn to scale.

a. plotter b. planimeter c. altimeter d. areanometer

15. A curved surface every element of which is normal to a plumb line.a. plumb surface b. curved surface c. plane surface d. level surface

2 POINTS1. The sides of a square lot having an area of 2.25 hectares were measured

using a 100-m tape that was 0.04 m. too short. Compute the error in the area in sq.m.

a. 12.0016 b. 17.9964 c. 18.0036 d. 11.9984

2. A flagpole 3 m high stands at the top of a pedestal 2 m high located at one side of a pathway. At the opposite side of the pathway directly facing the flagpole, the flagpole subtends the same angle as the pedestal. What is the width of the pathway?

a. 8.41 m b. 6.28 m c. 4.47 m d. 3.21 m

3. A point where the vertical produced upward,pierces the celestial sphere.a. horizon b. nadir c. ecliptic d. zenith

4. An artificial shade line indicating relief but does not give exact information regarding elevation.

a. level b. hachure c. agonic d. isogonic

5. The configuration and roughness of the ground is referred to as:a. hachure b. contour c. topography d. relief

6. With the transit at point A and line of sight horizontal, the stadia intercept at B is 0.6 m. If the stadia interval facor is 99.96 and the stadia constant is 0.3, find the distance AB.

a. 78.32 m b. 60.28 m c. 43.87 m d. 54.21 m

7. A line has a magnetic bearing of S 41o 30'E when the declination was 1o 30' E. What is the true bearing of the line if a local attraction of 3o 30' to the East of the vicinity?

a. S 35o 30' E b. S 43o 30'E c. S 45o E d. S 45o E

8. From station 12 + 180 with center height of 1.4 m in fill, the ground makes a uniform slope of 5% to Station 12 + 240 whose center height is 2.8 m in cut. How far is the point of intersection of the ground and the road from Station 12 + 180?

a. 20 m b. 25 m c. 30 m d. 15 m

9. A triangular piece o fland has one side measuring 2 km. The land is to be divided into two equal areas by a dividing line parallel to the given side. What is the length of the dividing line?

a. 8.485 b. 6 c. 7.623 d. 8

10. Determine the central angle of a 350-m simple curve if the nearest distance from the curve to the point of intersection of the tangents is 18 m.

a. 36o b. 39o c. 56o d. 32o

11. A baseline measures 25 km at elevation 520 m. If the average radius of curvature is 6400 km, compute the sea-level distance.

a. 24,998.63 m b. 24,995.24 m c. 24,996.24 m d. 24.997.97 m

12. An observer wishes to determine the height of the tower. He took sight of the top the tower from A and got an angle of elevation of 30o. He taken walked 25 m closer to point B and observed the angle of elevation as 40o.

Points A and B are the same elevation, and on a direct line with the tower. How high is the tower?

a. 46.27 m b. 57.32 m c. 43.21 m d. 76.32 m

13. In a hydrographic survey using a current meter with meter constant a = 0.232 and b = 0.022, it is required to determine the velocity of the water at that point if the time of observation was recorded to last for 50 sec. and the recorded number of revolution is taken as 10.

a. 0.0247 m/s b. 0.0575 m/s c. 0.0684 m/s d. 0.0346 m/s

14. The correction to be applied to the latitude or departure of any course is to be total error of lalitude or departure as the length of the course is to the length of the traverse is one way of balancing a traverse and is known as:

a. approximate value b. compass rule c. value rule d. transit rule

15. The offset distance from PC to PT of a simple curve is 8 m. If the angle of intersection of the curve is 20o, what is the radius of the curve?

a. 123.87 m b. 132.65 m c. 113.62 m d. 153.98 m

16. The sum of meridian distances of the two extremeties of a given line is known as:

a. parallel distance b. double parallel distance c. meridian distance d. double meridian distance

17. The tangent of s simple curve from P.I. to P.C.has a bearing of N 65o E and the other tangent from P.I. to P.T. has a bearing of N 55oW. At a point 150 m from P.C. along the tangent through P.C, the right angle offset to point F on the curve is 6.2 m. Find the radius of the curve.

a. 1817.6 m b. 1752.3 m c. 1657.5 m d. 1547.2 m

18. From a point A on a simple curve, the perpendicular distance to the tangent at point Q is "X". The tangent passes through PC. Point A is at station 20 + 250 and PC is at station 20 + 150. If the radius of the curve is 800 m, find x.

a. 62.32 m b. 6.24 m c. 25.47 m d. 7.89 m

19. From the top of tower A the angle of elevation of the tower B is 46o. From the foot of tower B the angle of elevation of the top of tower A is 28o. Both towers are on a level ground. If the height of tower B is 120m, how high is tower A in m?

a. 38.6 b. 40.7 c. 44.1

d. 42.3

20. A line was measured with a 50-m tape. There were 2 tallies and 3 pins, and the distance from the last pin and the end of the line was 2.25m. Find the length of the line in meters.

a. 1152.25 b. 517.25 c. 117.25 d. 1017.25

21. A parabolic curve AB, 400 m. long is connected by tangents having an upgrade of +6.5% and a downgrade of -3% interesecting at sta.20 + 800 at elevation 102.5 m. Find the distance from B to the highest point of the curve.

a. 126.3 b. 125.6 c. 123.5 d. 124.8e.22. A steel tape is 100 m. long at a standard pull of 65 N. Compute the pull

correction in mm if during measurement the applied pull is 40 N. The tape has a cross section area of 3.18 mm2 and a modulus of electricity E=200 Gpa.

a. -4 b. -6 c. -7 d. -5 23. STA P.T. of a compound curve is at 15 + 480.14. I1 = 30o, I2= 36o, D1 = 4o

and D2 = 5o. What is the stationing of P.C.C.? Use arc basis.a. 15 + 325.28 b. 15 + 319.63 c. 15 + 342.5 d. 15 + 336.14

24. What is the angle of intersection of the tangents of two simple curve of their bearing are N 75o 12' E and S 78o36' E, respectively.

a. 18o 42' b. 3o 24' c. 26o 12` d. 22 38

5 POINTS1. A reversed curve has the following properties:

Degree of curve, D1 = 3o Central angle, I1 = 24o Degree of curve, D2 = 4o Central angle, I2 = 38o Stationing of P.C. = 67 + 345.23 Determine the stationing of PRC (point of reversed curvature). Use arc basis.

a. 67 + 505.23 b. 67 + 549.23 c. 67 + 689.23 d. 67 + 467.23

2. A compound curve has the following properties: I1 = 32o Length of long chord from PC to PCC, L1 = 235.98 m I2 = 24o Length of long chord from PCC to PT, L2 = 178.23 mFind the length of chord from PC to PT.

a. 376.54 m b. 476.45 m c. 402.15 m d. 234.76 m

3. Point A is between points B and C. The distances of B and C from point A are 1000 m and 2000 m, respectively. Measured from point A, the angle of elevation or point B is 18o 30', while that of point C is 0. The difference in the elevations of B and C is 44.4 m, with C being lower than B, Considering effects of curvature and refraction, the value of 0 is nearest to:

a. 7o30' b. 6o45' c. 5o20' d. 8o 15'

4. The tangents of a simple curve have bearings of N 75o 12' E and S 78o36'E, respectively. What is the central angle of the curve?

a. 29.2o b. 38.2o c. 26.2o d. 27.2o

5. From point A on a simple curve, the perpendicular distance to the tangent, at point Q, is 64 m. The tangent passes through the P.C. The distance from Q to P.C. is 260 m. Find the length of the curve from PC to A, in m.

a. 352.47 b. 298.56 c. 270.37 d. 254.12

6. From point A on a simple curve, the perpendicular distance to the tangent, at point Q, is 64 m. The tangent passes through the P.C. The distance from Q to P.C. is 260m. Find the radius of the curve, in m.

a. 580 b. 560 c. 520 d. 540

7. A closed traverse has the following data: COURSE BEARING DISTANCE (m.) 1-2 N 09.27o E 58.7 2-3 S 88.43o E 27.3 3-4 S 86.78oE 35.2 4-5 S 05.30o E 35.0 5-1What is the bearing of line 5-1?

a. S 72.07o W b. S 85.16o W c. S 78.31o W d. S 76.05o W

8. To determine the area of a triangular lot ABC, a surveyor set-up a transit at point P inside the lot and recorded the following bearing and distances of each corners of the lot from P. Corner Bearing from P Distance from P A N 47o 32' W 36.25 m B N 68o 52' E 48.32 m C Due South 65.25 m

Determine the area of the lot in square meter. a. 3127 b. 4253 c. 2586 d. 3256

9. A closed traverse has the following data. COURSE BEARING DISTANCE (m.) 1-2 N 09.27o E 58.70 2-3 S 88.43o E 27.30 3-4 _________ ______ 4-5 S 05.30o E 35.00 5-1 S 72.07o W 78.96 What is the length of course 3-4?

a. 38.65 b. 39.3 c. 37.5 d. 35.2

10. The ground makes a uniform slope of 4.8% from STA 12 + 180 to STA 12 + 250. At STA 12 + 180, the center height of the roadway is 1.2 m fill. At the other station, the center height is 3.11 m cut. Find the grade of the finished road.

a. -0.01427 b. -0.01357 c. -0.04214 d. -0.02149

11. A compound curve has the following data: I1 = 28o D1 = 3o I2 = 31o D2 = 4o STA P.I. 30 + 120.5 Find the stationing of P.C.C. Use P.I 30 + 120.5

a. 30 + 110.73 b. 30 + 106.97 c. 30 + 118.46 d. 30 + 114.88