Civil Engineering Board Exam Problems

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.

Rate of Change of Volume of Sand in Conical Shape
Duel of Two 50% Marksmen: Odds in favor of the man who shoots first
Velocity of Separation: How fast is the distance between two cars changing?
Centripetal Force of a Ball Revolving Uniformly in a Horizontal Circle
Radius of Circle of New Atom Smasher
Ratio of Volume of Water to Volume of Conical Tank
Finding The Length Of Parabolic Curve Given Change In Grade Per Station
Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t
Probability That A Randomly Selected Chord Exceeds The Length Of The Radius Of Circle
Regular Octagon Made By Cutting Equal Triangles Out From The Corners Of A Square
Time After 3:00 O'clock When The Hands Of The Clock Are Perpendicular
Smallest Part From The Circle That Was Divided Into Four Parts By Perpendicular Chords
Number of Steps in the Escalator
Two Gamblers Play Until One is Bankrupt: Chance That the Better Player Wins
Angle Between Two Zero-Based Vectors in XY-Plane
Probability of Winning the Carnival Game of Tossing a Coin Into a Table
Four Trapezia Formed by the Difference of Two Concentric Squares
Random Steps of a Drunk Man: Probability of Escaping the Cliff
Length of Parabolic Sag Curve with Given Change in Grade Per Station
The Distance the Particle Travels with Given Position Function x(t) = t^4 - 8t^2
Compound Curves: Finding the Stationing of PCC with Given Stationing of PC
For Sn = 3^(2n - 1) + b; Find the Quotient a9 / a7
Y-component of Vector A if Vectors A and B are Orthogonal
General Term of Arithmetic Sequence that Models the Potential Annual Salaries
Weight of Copper and Tin to Produce an Alloy of 30% Copper and 10% of Tin
Nutrition: Amount of food A, B and C to Meet the Nutrient Requirements
Samuel Pepys Wrote Isaac Newton Asking Which Event is More Likely to Occur
Burning Bale from Catapult to Travel 150 ft and Clear Over 35 ft Castle Wall
Spinning Spherical Target: Probability for Three Marksmen to Hit on the Same Hemisphere
Equation of the Diameter of Parabola Bisecting Parallel Chords of Given Slope
Fundamental Frequency of Fourier Equation in Cosine Form
Amount of Sales Needed to Receive a Specified Monthly Income
Area Bounded by Intersecting Chords in a Circle
Slope of a Curve of Given Parametric Equations
A solid spherical ball remolded into a hollow spherical ball
Distance From a Point to a Plane in 3D-Space
Find the Integral of dx / sqrt(1 + sqrt(x))