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Registered Electrical Engineer (REE) board exam reviewer

A weighted general average of at least 70%, with no subject below 50%. (RA 7920). Practise each subject with worked solutions, then sit a timed mock exam and see where you stand against that rule.

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Subjects, weights and topics

SubjectWeightTopics
Mathematics
5 h session		25%Algebra · Trigonometry · Analytic geometry · Differential calculus · Integral calculus · Differential equations · Complex numbers · Probability and statistics · Matrices and determinants · Laplace transforms and Fourier series
Engineering Sciences and Allied Subjects (ESAS)
4 h session		30%Physics: mechanics · Physics: waves, electricity and magnetism · General chemistry · Thermodynamics · Fluid mechanics · Strength of materials · Engineering materials · Engineering economics · Engineering management · Computer fundamentals and programming · RA 7920 and ethics (electrical) · PEC Part 1: general requirements
Electrical Engineering Professional Subjects
6 h session		45%DC circuits · AC circuits · Three-phase systems · Transients (RC, RL, RLC) · Semiconductors and diodes · Power electronics · Instrumentation and measurement · Control systems · Transformers · DC machines · Induction motors · Synchronous machines · Power systems and transmission · Protection: fuses, breakers, relays · Illumination · Power plant engineering · PEC: branch circuits, ampacity and protection

Sample questions

1. A production line makes 5% defective diodes. In a random sample of 10, what is the probability of exactly one defective?

  1. 0.0500
  2. 0.5987
  3. 0.0315
  4. 0.3151
Show the answer and solution

Answer: D. 0.3151

By the binomial formula, P = C(10,1)(0.05)(0.95)⁹ = 10 × 0.05 × 0.6302 = 0.3151.

2. Find the area bounded by y = x² and y = 9x.

  1. 40.5
  2. 243
  3. 364.5
  4. 121.5
Show the answer and solution

Answer: D. 121.5

They meet at x = 0 and x = 9. A = ∫₀^9 (9x − x²)dx = 9³/2 − 9³/3 = 9³/6 = 121.5.

3. A 3 m cantilever carries a uniform load of 5 kN/m over its full length. What is the maximum bending moment?

  1. 45.0 kN·m
  2. 15.0 kN·m
  3. 5.6 kN·m
  4. 22.5 kN·m
Show the answer and solution

Answer: D. 22.5 kN·m

M_max occurs at the fixed end: wL²/2 = 5 × 9/2 = 22.5 kN·m.

4. Two point charges of 4 µC and 6 µC are 30 cm apart in air. What force acts between them?

  1. 0.0024 N
  2. 0.719 N
  3. 9.59 N
  4. 2.4 N
Show the answer and solution

Answer: D. 2.4 N

F = kq₁q₂/r² = 8.99×10⁹ × 4×10⁻⁶ × 6×10⁻⁶ / 0.3² = 2.4 N.

5. A plant draws 400 kW at 0.8 power factor lagging. A synchronous motor taking 100 kW at 0.8 power factor leading is added. What is the new overall power factor?

  1. 0.800 lagging
  2. 0.800 leading
  3. 1.000
  4. 0.912 lagging
Show the answer and solution

Answer: D. 0.912 lagging

Plant Q = 400 tan(36.87°) = 300 kvar lag; motor Q = 100 × 0.75 = 75 kvar lead. Total P = 500 kW, Q = 225 kvar lag. pf = 500/√(500² + 225²) = 0.912 lagging.

6. A 8-pole, 60 Hz induction motor runs at 5% slip. What is its speed?

  1. 900 rpm
  2. 855 rpm
  3. 45 rpm
  4. 427.5 rpm
Show the answer and solution

Answer: B. 855 rpm

ns = 120f/P = 120 × 60/8 = 900 rpm; n = ns(1 − s) = 855 rpm.

Take a timed mock exam

An independent, free reviewer: not affiliated with the PRC or the Boards. Subject weights and passing rules are from the PRC examination programs and the laws (RA 9292, RA 7920); check the current PRC program before you file. Code questions follow the Philippine Electrical Code 2017 Part 1; check them against your own copy of the Code.