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100+ Free ECE Board Exam Practice Questions

PRC Electronics Engineer Licensure Examination practice questions are available now; exam metadata is being verified.

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What is the value of log base 10 of 1000?

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2026 Statistics

Key Facts: ECE Board Exam Exam

4

Exam Subjects

PRC TOS

70%

Passing Average

PRC

61.62%

Mar 2026 Pass Rate

PRC 2026

RA 9292

Governing Law

Philippines

30%

Top Subject Weight

PRC TOS

2 days

Exam Schedule

PRC

The ECE board exam tests four subjects weighted as Mathematics 20%, General Engineering and Applied Sciences (GEAS) 20%, Electronics Engineering 30%, and Electronic Systems and Technologies (EST) 30%. Candidates must obtain a 70% weighted general average with no grade below 50%. In the March 2026 administration, 1,692 of 2,746 examinees passed for a 61.62% passing rate. The exam covers everything from calculus and RA 9292 ethics to circuits, communications, antennas, and fiber optics.

Sample ECE Board Exam Practice Questions

Try these sample questions to test your ECE Board Exam exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In the ECE board exam Mathematics subject, what is the value of the imaginary unit j raised to the fourth power (j^4)?
A.-1
B.j
C.1
D.-j
Explanation: Since j = sqrt(-1), j^2 = -1, j^3 = -j, and j^4 = (j^2)^2 = (-1)^2 = 1. The powers of j cycle with a period of four, returning to 1 every fourth power.
2What is the derivative of f(x) = sin(2x) with respect to x?
A.cos(2x)
B.-2cos(2x)
C.2cos(2x)
D.2sin(2x)
Explanation: Applying the chain rule, the derivative of sin(u) is cos(u) times du/dx. With u = 2x, du/dx = 2, so d/dx[sin(2x)] = 2cos(2x).
3The Laplace transform of the unit step function u(t) is which of the following?
A.1
B.1/s^2
C.1/s
D.s
Explanation: The Laplace transform integrates u(t)e^(-st) from 0 to infinity, giving 1/s for s greater than 0. This is a fundamental transform pair used heavily in circuit and control-system analysis on the ECE exam.
4A 3x3 matrix has a determinant of zero. What does this indicate about the matrix?
A.It is orthogonal
B.It is symmetric
C.It is singular and has no inverse
D.Its eigenvalues are all positive
Explanation: A determinant of zero means the matrix is singular, so its inverse does not exist and its rows or columns are linearly dependent. This is important when solving systems of linear equations, which may then have no unique solution.
5Two dice are rolled. What is the probability that the sum of the two faces equals 7?
A.1/9
B.1/12
C.1/6
D.5/36
Explanation: There are 6 favorable outcomes that sum to 7 (1-6, 2-5, 3-4, 4-3, 5-2, 6-1) out of 36 equally likely outcomes, giving 6/36 = 1/6. A sum of 7 is the most probable result when rolling two fair dice.
6In analytic geometry, the eccentricity of a circle is equal to which value?
A.1
B.Between 0 and 1
C.0
D.Greater than 1
Explanation: A circle is a special conic where the two foci coincide, giving an eccentricity of exactly 0. As eccentricity increases, the conic becomes an ellipse (0 to 1), a parabola (1), and a hyperbola (greater than 1).
7What is the general solution form for the first-order linear differential equation dy/dx + Py = Q, where P and Q are functions of x?
A.y = Q/P
B.y = e^(Px)
C.y multiplied by the integrating factor equals the integral of Q times the integrating factor
D.y = integral of (Q - P) dx
Explanation: The standard method multiplies through by the integrating factor e^(integral of P dx), making the left side an exact derivative. Then y times the integrating factor equals the integral of Q times that same integrating factor, plus a constant.
8Using the law of sines in a triangle, if angle A = 30 degrees, side a = 5, and angle B = 90 degrees, what is side b?
A.5
B.8.66
C.10
D.2.5
Explanation: By the law of sines, a/sin(A) = b/sin(B). So b = a*sin(B)/sin(A) = 5*sin(90)/sin(30) = 5*1/0.5 = 10. The side opposite the right angle (the hypotenuse) is the longest.
9What is the magnitude of the complex number 3 + 4j?
A.7
B.12
C.5
D.1
Explanation: The magnitude (modulus) of a + bj is sqrt(a^2 + b^2) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. This forms a 3-4-5 right triangle in the complex plane.
10The integral of 1/x dx is equal to which of the following?
A.x^2/2 + C
B.-1/x^2 + C
C.ln|x| + C
D.1/(x^2) + C
Explanation: The integral of 1/x is the natural logarithm of the absolute value of x plus a constant, ln|x| + C. This is the one exception to the power rule, which fails for an exponent of -1.

About the ECE Board Exam Practice Questions

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