This is a repository of solved problems similar to past CE board exam in the Philippines given by the Professional Regulation Commission. We don't have the exact problems from the actual board examinations but problems here are carefully crafted so that it will be as close as possible to the actual board examinations.

Title Subject
Which curve has a constant first derivative? Mathematics, Surveying and Transportation Engineering
Depth and vertex angle of triangular channel for minimum perimeter Hydraulics and Geotechnical Engineering
Calculation for the location of support of vertical circular gate Hydraulics and Geotechnical Engineering
Ratio of force of water to force of oil acting on submerged plate Hydraulics and Geotechnical Engineering
Find the approximate height of a mountain by using mercury barometer Hydraulics and Geotechnical Engineering
Equivalent head, in meters of water, of 150 kPa pressure Hydraulics and Geotechnical Engineering
Compute for the discharge on the sewer pipe Hydraulics and Geotechnical Engineering
Coefficient of discharge of circular orifice in a wall tank under constant head Hydraulics and Geotechnical Engineering
Absolute pressure of oil tank at 760 mm of mercury barometer Hydraulics and Geotechnical Engineering
Absolute pressure at 2.5 m below the oil surface Hydraulics and Geotechnical Engineering
Find $x$ from $xy = 12$, $yz = 20$, and $zx = 15$ Mathematics, Surveying and Transportation Engineering
Value of t for a germ population to double its original value Mathematics, Surveying and Transportation Engineering
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer? Mathematics, Surveying and Transportation Engineering
Comparing alternatives: Buy a truck vs rent a truck Mathematics, Surveying and Transportation Engineering
Largest box that can be made from rectangular cardboard Mathematics, Surveying and Transportation Engineering
Investment of P250,000.00 per year Mathematics, Surveying and Transportation Engineering
Angle turned by train in 1 minute Mathematics, Surveying and Transportation Engineering
Equivalent Cartesian Equation of Parametric Equations Mathematics, Surveying and Transportation Engineering
Equation of the sphere of radius 3 and tangent to coordinate-planes Mathematics, Surveying and Transportation Engineering
Ultimate Moment and Number of Bars of Simply Supported Concrete Beam Structural Engineering and Construction
Simple Beam With Overhang Under Uniform Load Structural Engineering and Construction
Maximum stresses on a pole subjected to combined loadings Structural Engineering and Construction
Equivalent land area of 600 mm^2 map-area with given map-scale Mathematics, Surveying and Transportation Engineering
Support reactions of a symmetrically-loaded three-hinged arch structure Structural Engineering and Construction
Evaluate the integral of (x dx) / (x^2 + 2) with lower limit of 0 and upper limit of 1 Mathematics, Surveying and Transportation Engineering
Determine the radius of curvature of the curve x = y^3 at point (1, 1) Mathematics, Surveying and Transportation Engineering
Calculate the area enclosed by the curve x^2 + y^2 - 10x + 4y - 196 = 0. Mathematics, Surveying and Transportation Engineering
Sum of the first ten terms of a Geometric Progression Mathematics, Surveying and Transportation Engineering
Calculation of true distance of a line measuring 160.42 m using a tape that is 0.02m too long Mathematics, Surveying and Transportation Engineering
A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one. Mathematics, Surveying and Transportation Engineering
Calculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6 Mathematics, Surveying and Transportation Engineering
If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x? Mathematics, Surveying and Transportation Engineering
The digits of a three-digit number are in arithmetic progression, find the sum of all the digits Mathematics, Surveying and Transportation Engineering
There are 7 arithmetic means between 3 and 35. What is the sum of all the terms? Mathematics, Surveying and Transportation Engineering
A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water. Mathematics, Surveying and Transportation Engineering
What is the equation of the normal to the curve x^2 + y^2 = 25 at (4, 3)? Mathematics, Surveying and Transportation Engineering
What is the radius of the circle x^2 + y^2 - 6x = 0? Mathematics, Surveying and Transportation Engineering
When the polynomial x^4 + bx^3 + 5x^2 + dx + 6 is divided by x - 2 the remainder is 16. When it is divided by x + 1 the remainder is 10. Find the value of constant d. Mathematics, Surveying and Transportation Engineering
Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. How fast is the outer surface area shrinking? Mathematics, Surveying and Transportation Engineering
Determine the percentage uncertainty in the area of a square that is 6.08 (+/-) 0.01 m on a side. Mathematics, Surveying and Transportation Engineering
In still water, your small boat average 8 miles per hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. What is the rate of water's current? Mathematics, Surveying and Transportation Engineering
BCR of \$180,000 investment yielding \$60,000 annual benefits at 7% annually Mathematics, Surveying and Transportation Engineering
Which pizza is a better buy: large with 16-inch-diameter for $15 or medium with 8-inch-diameter for $7.50? Mathematics, Surveying and Transportation Engineering
Given the following equations: ab = 1/8, ac = 3, bc = 6. Find the value of a + b + c. Mathematics, Surveying and Transportation Engineering
Which of the following is the derivative with respect to x of (x + 1)^3 - x^3? Mathematics, Surveying and Transportation Engineering
How many men paid for a total amount of $262,143.75 if the first person to arrive only paid 25 cents? Mathematics, Surveying and Transportation Engineering
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600? Mathematics, Surveying and Transportation Engineering
Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y) Mathematics, Surveying and Transportation Engineering
A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one Mathematics, Surveying and Transportation Engineering
What is the Coefficient of the 8th Term of the Expansion of (2x - 1/x)^10? Mathematics, Surveying and Transportation Engineering