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? Math
Depth and vertex angle of triangular channel for minimum perimeter HydroGeo
Calculation for the location of support of vertical circular gate HydroGeo
Ratio of force of water to force of oil acting on submerged plate HydroGeo
Find the approximate height of a mountain by using mercury barometer HydroGeo
Equivalent head, in meters of water, of 150 kPa pressure HydroGeo
Compute for the discharge on the sewer pipe HydroGeo
Coefficient of discharge of circular orifice in a wall tank under constant head HydroGeo
Absolute pressure of oil tank at 760 mm of mercury barometer HydroGeo
Absolute pressure at 2.5 m below the oil surface HydroGeo
Find $x$ from $xy = 12$, $yz = 20$, and $zx = 15$ Math
Value of t for a germ population to double its original value Math
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer? Math
Comparing alternatives: Buy a truck vs rent a truck Math
Largest box that can be made from rectangular cardboard Math
Investment of P250,000.00 per year Math
Angle turned by train in 1 minute Math
Equivalent Cartesian Equation of Parametric Equations Math
Equation of the sphere of radius 3 and tangent to coordinate-planes Math
Ultimate Moment and Number of Bars of Simply Supported Concrete Beam Design
Simple Beam With Overhang Under Uniform Load Design
Equivalent land area of 600 mm^2 map-area with given map-scale Math
Support reactions of a symmetrically-loaded three-hinged arch structure Design
Evaluate the integral of (x dx) / (x^2 + 2) with lower limit of 0 and upper limit of 1 Math
Determine the radius of curvature of the curve x = y^3 at point (1, 1) Math
Calculate the area enclosed by the curve x^2 + y^2 - 10x + 4y - 196 = 0. Math
Sum of the first ten terms of a Geometric Progression Math
Calculation of true distance of a line measuring 160.42 m using a tape that is 0.02m too long Math
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. Math
Calculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6 Math
If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x? Math
The digits of a three-digit number are in arithmetic progression, find the sum of all the digits Math
There are 7 arithmetic means between 3 and 35. What is the sum of all the terms? Math
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. Math
What is the equation of the normal to the curve x^2 + y^2 = 25 at (4, 3)? Math
What is the radius of the circle x^2 + y^2 - 6x = 0? Math
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. Math
Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. How fast is the outer surface area shrinking? Math
Determine the percentage uncertainty in the area of a square that is 6.08 (+/-) 0.01 m on a side. Math
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? Math
BCR of \$180,000 investment yielding \$60,000 annual benefits at 7% annually Math
Which pizza is a better buy: large with 16-inch-diameter for \$15 or medium with 8-inch-diameter for \$7.50? Math
Given the following equations: ab = 1/8, ac = 3, bc = 6. Find the value of a + b + c. Math
Which of the following is the derivative with respect to x of (x + 1)^3 - x^3? Math
How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600? Math
How many men paid for a total amount of \$262,143.75 if the first person to arrive only paid 25 cents? Math
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) Math
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 Math
What is the Coefficient of the 8th Term of the Expansion of (2x - 1/x)^10? Math