Civil Engineering Board Exam Problems for May 2018


How do the Civil Engineering Board Exam Problems are structured?

The Civil Engineering Board Exam Problems and their implementation are presented here.

Ever since the promulgation of the Resolution No. 02 Series of 1995 by the Philippine Board of Civil Engineering as provided by the Civil Engineering Law in the year 1995 the computerized test was implemented. This is unprecedented because comparably those past board examinations are administered manually. Through this computerization, the number of answers was laid in multiple choices format not unlike in the past board exams. This is helpful for the examinees because of the advantage of the choices as reference answers during the process of solving the analytical questions. Once the problem is solved by the test-takers, they can match from the given choices which in turn gives them preferable results. Even guessing from the choices can barely come up with the right answer through this format.

By the way, the examination is composed of 100 exam problems where the number of questions for each subject shall not be less than 20. It is a closed book and notes test. The test-takers are given 10 computation and scratch sheets which must be submitted with the answer sheets. Electronic and scientific calculators are allowed except programmable calculators which will be confiscated if brought to the examination room.

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Does solving the past Civil Engineering Licensure examination questions helpful?

Working out the past CE licensure problems is beneficial for the would-be takers.
Why is it so?
Let us try to unravel what is stated in Resolution No. 02 Series of 1995 of the Civil Engineering Law as stated ;

“The Board shall provide a minimum of 500 questions for each subject from which the computer of the Commission will select at random on the day or a few days prior to the examination the questions to be given.”

Whereas through gathered previous test data there are exactly identical questions that occurred in other months and years of examination.
This gives an edge to the examinee as the chances of encountering the same questions are probable due to the random selection from 500 questionnaires. Therefore, it is advisable for the examinee to be familiar with past questions.

Arm with this advantage helps you ace in solving the civil engineering board exam questions.

Overview of how is the board exam administered?

The examination is conducted for two days duration covering the three subjects namely Mathematics, Surveying, Hydraulics, Design, and Construction.
The test is carried out every May and November yearly.
There are various designated testing centers throughout the whole country where the test is administered. It is up to you to select where ever the convenient nominated locations you prefer to choose. Moreover, there is also a special board exam held overseas for those Overseas Filipino Workers (OFW’s) who are willing to attain their certificate of registration.

The Civil Engineering Board Exam problems last May 2018 are presented here:

Civil Engineering Board Exam Problems for Mathematics and Surveying | May 2018

1. Two perpendicular chords both 5 cm from the center of the circle, which divides into four parts. If the radius of the circles is 13 cm, find the area of the smallest part.

2. At how many minutes after 3 PM will the hands of a clock be perpendicular to each other for the first time after 3 PM?

3. A regular octagon is to be cut out from a square section having a side of 16 cm. Determine the side of the octagon.

4. The height of the cone is h. It contains water to a depth of 2/3 h. What is the ratio of the volume of water to that of the cone?

5. Find y’ if x = 2 arc cos 2t and y = 4 arc sin 2t.

6. Given: FC= P 600,000
SV= P 60,0000
Life=5 years
Compute the depreciation on the 3rd year using the Modified Accelerated Cost Recovery System Method.

7. On a railroad, a+ 0.8% grade meets a -0.4% grade at sta. 2 + 700 and at elevation 30 m. The maximum allowable change in grade per station is 0.2%. Determine the length of the curve.

8. Determine the minimum length of a sag vertical curve between a- 0.7% grade and a+ 0.5 grade for a road with 110 kph design speed. The vertical curve must provide 220 m. stopping sight distance.

9. Waves under the influence of the winds that generated them are called:

10. If a stick is broken in two at random, what is the average ratio of the smaller length to the larger?

11. A 150 g ball at the end of a string is revolving uniformly in a horizontal circle of radius 0.600 m. The ball makes 2 revolutions in a second. What is its centripetal acceleration?

12. A 2.0 kg object traveling at 1.0 m/s collides head-on with a 1.0 kg object initially at rest. Determine the velocity of each object after the impact of the collision is perfectly elastic.

13. A golf ball of mass 0.045 kg is hit off the tee at a speed of 45 m/s. The golf club was in contact with the ball for 3.5 x 1 0·3 s. Find the impulse imparted to the golf ball.

14. A 23 g bullet traveling at 230 m/s penetrates a 2 kg block of wood and emerges clearly at 170 m/s. If the block is stationary by a frictionless surface when hit, how fast does it move after the bullet merges?

15. The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam is 1/3 ft. wide, 1/2 ft. high and 11 ft. long can support 20 tons, find how much a similar beam can support if the beam is 1/4 ft. wide, ¼ ft. high and 17 ft. long.

16. Find the loudness of a sound that has an intensity 10,000 times the threshold of hearing for the average human ear.

17. An earthquake in San Francisco in 1991 was reported to have a Richter number of 6.90. How does the intensity of the earthquake compare with the reference intensity?

18. A closed traverse has the following data:
Find the bearing of line BC.

CDN 1 15 E12.83
DEN 72 10 E64.86
EAS 48 13 E107.72

19. A school lot has the following dimensions. Find the cost of the lot if it cost P 3.1 M per hectare. Compute also the distance of line 2-3.

1-2N 57 39 W145.16
3.4S 44 45 E62.10
4-1N 31 16 E300.00

20. The maximum sustained 15 min. rate of flow, expressed in passenger cars per hour per lane, which can be accommodated by a uniform freeway segment under prevailing traffic and roadway conditions in one direction.

a. Capacity
b. Traffic Flow
c. Density
d. Density Hourly Volume

Click the answer
a.) Capacity

21. Warn road users of condition on or adjacent to the road that maybe unexpected or hazardous.

a. Road work signs
b. Warning signs
c. Traffic signs
d. Guide sings

Click the answer
b.) Warning signs

22. The observed interior angles of a quadrilateral and their corresponding number of observation are as follows:
Determine the corrected angle at corner 3.


23. In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many telephone numbers maybe assigned to that city if the last four digits should not begin or end in zero?

24. A spherical triangle ABC has an angle C = 90, and sides A = 50 and C = 80. Find the angle of side B in degrees.

25. As a result of a nuclear accident, radioactive debris was carried through the atmosphere. One immediate concern was the impact that the debris has on the milk supply. The percent y of radioactive material in raw milk after t days is estimated by y = 100 (2. 7)^ -0.11. Estimate the expected percent of radioactive material in the milk after 30 days.

26. The first cost of a machine is P 1,800,000 with a salvage value of P 300,000 at the end of its life of 5 years. Determine the total depreciation after 3 years, using the Sum of Years Digit Method.

27. An existing highway with bearing N 20°E is to be connected to another highway with the bearing of N 80° E by a 4% simple curve. What length of the curve is required?

Click the answer
R = 1145.916/D
R = 1145.916/4
R =286.48m.
Lc =Rθ
Lc = 286.48(60)π/180
Lc=180 m

28. Applying full brakes at a speed of 60 kph, the car traveled 40 m until it stopped. Determine the average skid resistance.

29. Rolls of carpet are stacked in 20 rows with 3 rows in the top row, 4 rolls in the next row, and so on, forming an arithmetic sequence. Find the total number of carpet rolls if there are 22 rolls in the bottom row.

30. ACME rental services charge Php 4 a day plus 0.15 a mile whereas State rental agency charges Php 20 a day and Php 0.05 a mile. How many miles must be driven to make the daily cost of an ACME rental better State rental?

31. The purpose of installing edge lines is generally based on the following except one:
I. To discourage travel on road shoulders
II. To make driving safer and more assured, particularly at night and during inclement weather by providing a continuous guide for the driver
III. To act as a guide past objects, which are close to the edge of the pavement and which constitute a hazard
IV. To prevent parking at or near intersections
V. To delineate the edge of the traveled way to distinguish it from the shoulder area
a. I
b. IV
c. II
d. V

Click the answer
d.) V

32. The height of a falling object above the ground after t seconds can be modeled by a quadratic function. A ball is thrown directly upward from a height of 48 feet. The ball’s position above the ground after 1 and 2 seconds is shown in the following table:

TimePosition above the ground

Find the quadratic function that fits the data.

a. s(t) = 6t²+12t+48
b. s(t) = 6t²-32t-48
c. s(t) = – 16t²+32t+48
d. s(t) = -6t²-12t-48

33. During the baseball practice, a batter hits a very high fly ball and runs in a straight line and catches it. Which has the greater displacement, the player, or the ball?
a) The ball and the player have the same distance traveled
b) The displacement of the player is greater than the displacement of the ball
c. The player and the ball have the same displacement
d. The ball has a greater displacement traveled compared to the player

34. It is the maximum number of vehicle which have a reasonable expectation of passing over a given section of a lane or roadway in one or both directions during a given time period under prevailing roadway and traffic conditions.
a) Flow of traffic
b) Road capacity
c) Density
d) Free flow

Click the answer
b.) Road capacity

35. The cost of producing x units of a product is given by C(x) = x² + 560x + 1000. Find the approximate cost for producing the fiftieth unit.

Click the answer
C(x) = x2 + 560x + 1000
When x =50
c = (50)2 + 560(50) + 1000
c = 31500
When x = 49
C = (49)2 + 560(49) + 1000
Cost of producing 50th unit = 31500- 30841
Cost of producing 50th unit = 659

36. Given the half-life T of radium 1690 years. How much will remain of one gram of radium after 1000 years?

37. Strontium-90 is a waste product from nuclear reactors. Its half-life is 28 years which means that after 28 years a given amount of Strontium-90 will have decayed to half the original amount. Unfortunately, Strontium-90 in the atmosphere enters the food chain and is absorbed into our bones. As a consequence of fallout from atmospheric nuclear tests, we all have a measurable amount of strontium-90 in our bones. Suppose a nuclear accident occurs and releases 60 grams of strontium-90 into the atmosphere. How long will it take for strontium-90 to decay to a level of 10 grams?

38. A simple curve is to be designed for a maximum speed of 90 kph. The coefficient of friction between the tires and the pavement is 0.40. If the super elevation is limited to 12%, determine the degree of curvature. Use arc basis.

39. The number of plant species on various islands of the Relampagos Islands ls a function of the areas of each island, given by f(A) = 28.63 ³√ A. Find how many species are there in the area of 8 square miles.

Click the answer
A=28.63 ³√A
A=28.63 ³√8

40. The coordinate axes are asymptotes of the equilateral hyperbola whose vertex in the first quadrant is 3√2 units from the origin. What is the equation of the hyperbola?

41. A sector of a circle has a central angle of 50° and an area of 605 cm². Find the radius of the circle.

Click the answer
A = r²θ/2
605 = r² 50π/[( 100)(2)]
A = 37.24

42. Find the partial sum of the given sequence: S if a = 6 and r = 5.

43. Your local computer store is having a sale. After a 30% price reduction, you purchase a new computer for 980. What was the computer’s price before the reduction?

Click the answer
(1 – 0.30x) = 980
x = 1400

44. An inverted conical container has a diameter of 42 inches and a depth of 15 inches. If water is flowing out of the vertex of the container at a rate 35π in³/sec. How fast is the depth of the water dropping when the height is 5 inches?

45. The distance between Los Angeles and New York City is 4505 miles. Find the central angle to the nearest tenth of a degree that intercepts an arc of 4505 miles on the surface of the earth (radius 3950 miles).

Click the answer
4505 = 3950πθ/180
θ = 63.3°

46. Find the depth at which the intensity of the radiation passing through a lead shield is reduced to 3% of the original intensity if the value of k is 2.1.

Click the solution

This is a relative rate of change which can be solved by differential equation:
The differential equation is of the form

which has the solution
hence the depth of x meters is
is equal to initial intensity
k is negative because of the rate of change is reducing
Let us do the reciprocal equation and cancel
\frac {3I_0}{100}=\frac {I_0} {e{^{2.1x}}}
Let’s continue and perform the natural logarithm,
Hint: Remember the definition of natural logarithm
Then base e logarithm of y is
Check here, for more in-depth understanding of the topic about differential equation particularly related to this problem.
Now, going back to our equation and applyinh this principle,
2.1x =\frac {ln100}{ln3}
2.1x = ln100-ln3

Civil Engineering Board Exam Problems for Hydraulics and Geotechnical | May 2018

1. In a triaxial shear test of a cohesionless soil, the soil cylinder was subjected to a liquid pressure of 20 kPa inside the chamber. It was observed that the failure of the sample in shear occurred when the axial compressive stress reached 44 kPa. The angle of internal friction in degrees is nearest to. One of the following is not characteristic of cohesionless soils:

A. Easy to compact
B. High shear strength
C. Practically impermeable
D. Prone to settlement under vibratory load

2. If a container containing water 0.3 m deep is carried inside an elevator that accelerates at 3 m/s², evaluate the pressure, in kPa, exerted by the water at the base of the container if the elevator is traveling upward.

3. A mercury barometer at the base of the mountain reads 620 mm. At the same time, another barometer at the top of a mountain reads 450 mm. Assuming w of air is to be constant at 10 N/m³, what is the appropriate height of the mountain?

4. If a concrete cube 300 mm in a side is to be completely submerged in a liquid having a specific gravity of 4.70, what downward force, in kN, is necessary to hold the cube in equilibrium? Specific gravity of the concrete cube is 2.35.

5. Evaluate the resisting capacity against axial load due to skin friction of a concrete pile embedded into a layer of plastic clay given in the following conditions:
Size of pile = 0.4 m²
Depth of penetration into the clay layer = 40 m
Unconfined compression strength (qu) of the clay = 200 kPa

6. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity (coefficient of permeability) of the aquifer was obtained at 40 m. per day and its porosity is 0.25. The piezometer heads in two wells 1.325 km apart are 65 m. and 60 m. from a common reference datum. From the given data, obtain:

1. The rate of flow through the aquifer in cubic meter per day.
2. Evaluate the seepage velocity in meters per day.
3. Estimate the time of travel, in days, from the head of the aquifer to a point 4 km downstream.

7. An isosceles triangular plate of height 480 mm and base 200 mm is vertically submerged in water with its vertex at the liquid surface and the base is parallel to the liquid surface.

1. Evaluate the total force acting on one side of the plate in kN
2. Obtain the location of the force from the center of the gravity of the plate in mm.
3. Obtain the location of the force from the liquid surface in mm

8. Given that the field unit weight of a soil sample is 1800 kg per cubic meter and the unit weight of the soil particles is 2000 kg per cubic meter and the moisture content of the soil is 12 percent.

1. Evaluate the void ratio.
2. Evaluate its dry kN/m³
3. Evaluate the degree of saturation, in percent.

9. Three reservoirs A, B, and C are connected by pipelines 1,2, and 3 respectively. The elevations of reservoir A is equal to 200 m while that of C is 178 m. The discharge flowing towards B is 0.60 m³/s. Reservoir B is higher than C.

PipesDiameterLengthFriction factor f
1800 mm1500 m0.0158
2600 mm450 m0.0168
3450 mm1200 m0.0175

1. Compute the rate of flow out of reservoir A in m³/sec.
2. Compute the rate of flow towards reservoir C in m³/sec.
3. Compute the elevation of reservoir B.

10. A wooden buoy having an of 0.60 floats in a liquid having an sp. gr. of 0.80.

1. What is the percentage of the volume of the buoy below the liquid surface to the total volume of the body?
2. If the volume above the liquid surface is 0.024 m³, what is the weight of the buoy?
3. What is the load that will cause the buoy to be fully submerged?

Civil Engineering Board Exam Problems for Design and Construction subject | May 2018

1. A force P acting at an angle, a =4 5· from the x-axis, along the xy plane, prevents the pole weighing 375 N from falling. The pole leans against a frictionless wall at A.
x =3.15 m
y=4 m
z = 3.15 m

CE board problem May 2018 Design Construction problem -1

1. What is the force P (N)?
2. Determine the reaction at the wall at A (N).
3. Calculate the vertical reaction at B (N).

Click the answer
Value of force P:
CE board problem May 2018 Design Construction problem 1-solution
\sum _{BD}=0
375(1.575) = P cos 45(4) + P sin 45(3.15)
5.055P = 590.625
P = 116.8 N
Reaction at wall A:
\sum _{BC}=0
4R + 116.8 Sin 45(3.15) = 375(1.575)
R = 82.6 N
Vertical reaction at B:
By + P sin45 = 375
By = 375 – 116.8 sin45
By = 292.4 N

2. To stiffened the footbridge, a short post, BD supported by a steel cable ADC is added. The max. tension in the cable is 2 kN.

CE board exam May 2018 Design Construction problem 2

1. What is the maximum weight W of a person can the footbridge carry?
2. If W =8 00 N, what is the resulting force in the post BD.
3. If the area of the cable is 113 square mm, how much is the resulting elongation of the steel cable due to the maximum tension of 2 kN? Es = 200000 MPa.

3. A trial batch for normal-weight concrete with an average 28th day compressive strength of 42 MPa is to be proportioned based on the following:
Slump                                               50 mm to 100 mm
Water-cement ratio by weight      0.41
Specific gravity of cement              3.15
Specific gravity of coarse aggregate        2.68
Specific gravity of fine aggregate            2.64
Water (net mixing)                          200 kg/m³
Volume of rodded coarse aggregate       0.64 m³/m³
Unit weight of coarse aggregate             15.7 KN/m³
Unit weight of concrete                  23.6 KN/m³

1. What is the required dry rodded weight (KN) of coarse aggregate?
2. Find the combined weight (KN) of cement and water.
3. How much is the required weight (KN) of dry sand?

Click the solution
1. Weight of coarse aggregate:
W = V\gamma
W = 0.64(15.7)
W = 10kN
2. Combined weight of cement and water
Weight of water = 200(9.81)/1000
Weight of water = 1.96kN
Water-cement ratio = wt. of water/wt. of cement
0.41 = \frac{1.96} {W_c}
Combined weight = 1.96 + 4.78
Combined weight = 6.74kN
3.Weight of dry sand
Weight of cement = 4.78
Weight of water = 1.96
Weight of coarse aggregate = 10
Weight of sand = x
Total weight = 23.6(1)
23.6(1) = 4.78+1.96+10+x
x = 6.86kN Weight of sand

4. Weight W hangs from two wires having tensions T1 and T2.
Angle theta, q = 25″
Angle alpha, α= 25″

CE board exam question May 2018 Design Construction problem 4

1. Calculate the resultant force .acting on the bolt.
2. Determine the angle which the resultant pull makes with the horizontal.
3. To prevent uplift, what is the minimum weight of the concrete block W if the required factor of safety is 1.3?

5. The entrance of a warehouse has a roof that supports a roof load of 6 kN/m. The supports B and C are considered as simply supported.

1. Determine the buckling load on column BD at B.
2. Determine the max. shear in the beam ABC.
3. Determine the maximum positive moment at BC.

6. A 6 m. long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Æ strands causing a final prestress force of 540 kN.

1. Determine the resulting stress at the bottom fiber at the free end if the center of gravity of the strands coincide with the centroid of the section.
2. Determine the resulting stress. at the top fiber at the fixed end if the center of gravity of the strands is at 100 mm above the neutral axis of the beam.
3. Determine the eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber of the beam at the fixed end is zero.

7. W 470 mm x 105 kg/m beam of 12 mm web thickness is spliced near the support using a 15 mm thick connector plate welded to part B and bolted using 20 mm diameter A325 bolts to point A.
Dimensions are:
s1= 40 mm
s2 = 40 mm
s3 = 80 mm
s4 = 100 mm
s5 = 40 mm

Steel strength and allowable stresses are as follows:
Yield stress, Fy = 248 MPa
Bolt shear stress, Fv = 120 MPa
The load P, acts an eccentricity e = 180 mm from
the centroid of the bolt group.

CE board exam question May 2018 Design Construction problem 6

1. Calculate the shear load (kN) on the critical bolt at section A of the splice if P = 200 kN.
2. Calculate the torsional load (kN) on the critical bolt at section A if P = 200 kN.
3. Calculate the total critical bolt load (kN)


CE board exam question May 2018 Design Construction problem 7

h1 = 100 mm
h2 = 500 mm
b = 350 mm

Tension steel, As = 6 of 28 mm diameter bars
Compression steel, As’ = 4 of 28 mm diam. bars
Lateral ties = 12 mm diameter
Clear concrete cover = 40 mm
Concrete, fc’ = 28 MPa
Steel, fy1 (main bars) = 415 MPa
Steel, fv (ties) = 275 MPa
Allowable concrete shear stress at factored loads= 0.88 MPa

1. Which of the following gives the minimum spacing “a”, (mm)?
2. Which of the following gives the nominal shear strength (kN) provided by the concrete?
3. Which of the following gives the nominal shear strength if the lateral ties are spaced at 125 mm on centers?

9. Identify the following:
1. It is the point through which the resultant of the resistance to the applied lateral force acts.
2. It is the point through which the applied seismic force acts.
3. It refers to the flexibility of a structure.

10. To prevent excessive deflection of a cantilever steel beam, a tension rod is attached to its free end.
Beam length = 3 m uniformly distributed load (at full length) = 2 kN/m
Steel beam properties:
Area = 1900 mm2
Ix = 5.12 x 10⁶ mm⁴
Modulus of elasticity, E = 200 Gpa

1. Determine the deflection (mm) before the tension rod is attached.
2. Determine the max. moment (kNm) at the fixed end if the resulting tensile force in the rod is 3 kN.
3. What is the maximum span moment (kNm) if the tensile force in the rod is 3 kN?

11. The properties of a column are as follows:
Area = 7610 sq mm
Slenderness ratio KL/r:
About the x-axis = 53.8
About the y-axis = 144
Modulus of elasticity E = 200000 MPa
Steel yield stress, Fy = 248 MPa

1. What is the allowable stress (MPa) in compression based on the slenderness ratio about the x-axis?
2. What is the allowable stress (MPa) in compression based on the slenderness ratio about the y-axis?
3. What is the allowable compressive force (kN)?

There you have it the Civil Engineering Board exam problems for May 2018 which is worth solving as the trend observed for the past examination problems have usually occurred in the various succeeding exams.