PracticeVideosBlogFlashcardsEspañol
All Practice Exams

Free Practice Questions for Lebanese University Faculty of Engineering Entrance Examination

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
100+ Questions
100% Free

Loading practice questions...

Same family resources

Explore More Lebanese University Entrance Examinations (Concours d'entrée UL — Université Libanaise)

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Lebanese University Faculty of Agronomy First-Year Entrance Examination (Lebanon)

Practice Questions

Lebanese University Faculty of Medical Sciences Entrance Examination — Second Year, General Medicine (Concours d'entrée en 2e année, Lebanon)

Practice Questions

Lebanese University Faculty of Public Health Entrance Examination (Lebanon)

Practice Questions
Exam Review

Key Facts: Lebanese University Faculty of Engineering Entrance Examination Exam

12.00 / 20

Minimum Weighted Admission Average Threshold

Lebanese University Faculty of Engineering Decree

15 July 2026

Official Examination Date for 2026-2027 Academic Intake

ULFG Academic Calendar & Entrance Announcement

The Concours d'entree ULFG is the sole competitive route into first-year engineering at the Lebanese University. For the 2026-2027 intake it is sat on 15 July 2026 and covers three subjects - Mathematics, Physics and Chemistry - set against the Lebanese and French Baccalaureate programmes, with teaching at the three branches in French and English. This 100-question bank is an independent English-language MCQ study adaptation by OpenExamPrep, not a simulation of the official paper format.

Sample Lebanese University Faculty of Engineering Entrance Examination Practice Questions

Try these sample questions to review concepts for the Lebanese University Faculty of Engineering Entrance Examination exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of the limit L = lim(x -> 0) [e^(2x) - 1 - 2x] / x^2?
A.2
B.1
C.4
D.0
Explanation: Applying the Taylor series expansion of e^(2x) around x = 0 yields e^(2x) = 1 + 2x + (2x)^2/2! + O(x^3) = 1 + 2x + 2x^2 + O(x^3). Substituting this into the expression gives [1 + 2x + 2x^2 + O(x^3) - 1 - 2x] / x^2 = [2x^2 + O(x^3)] / x^2 = 2. Alternatively, applying L'Hôpital's rule twice yields lim [2e^(2x) - 2]/(2x) = lim [4e^(2x)]/2 = 2.
2Consider the function f defined on R by f(x) = x^2 + ax + b for x <= 1, and f(x) = ln(x) + 3 for x > 1. For which values of real constants a and b is f differentiable at x = 1?
A.a = 1, b = 1
B.a = -1, b = 3
C.a = -1, b = 2
D.a = 0, b = 3
Explanation: For differentiability at x = 1, f must be continuous and have matching one-sided derivatives. Continuity requires lim(x -> 1-) f(x) = f(1) = lim(x -> 1+) f(x), so 1 + a + b = ln(1) + 3 = 3, which gives a + b = 2. Matching left and right derivatives gives f'-(1) = 2(1) + a = f'+(1) = 1/1 = 1, which implies a = -1. Substituting into a + b = 2 yields b = 3.
3What is the equation of the horizontal asymptote of the curve representing f(x) = sqrt(4x^2 + 12x) - 2x as x -> +infinity?
A.y = 0
B.y = 6
C.y = 3
D.y = -3
Explanation: Multiplying and dividing by the conjugate expression gives f(x) = [4x^2 + 12x - 4x^2] / [sqrt(4x^2 + 12x) + 2x] = 12x / [2x*sqrt(1 + 3/x) + 2x]. For x > 0, factoring 2x from the denominator yields 12x / [2x*(sqrt(1 + 3/x) + 1)] = 6 / [sqrt(1 + 3/x) + 1]. Taking the limit as x -> +infinity gives 6 / (1 + 1) = 3. Therefore, the line y = 3 is a horizontal asymptote at +infinity.
4What are the abscissas (x-coordinates) of the inflection points of the curve defined by f(x) = (x^2 - 3)e^(-x)?
A.x = 1 +/- sqrt(3)
B.x = -1 and x = 3
C.x = 2 +/- 2*sqrt(2)
D.x = 2 +/- sqrt(5)
Explanation: Compute the first derivative: f'(x) = 2x*e^(-x) - (x^2 - 3)e^(-x) = (-x^2 + 2x + 3)e^(-x). Differentiating again yields f''(x) = (-2x + 2)e^(-x) - (-x^2 + 2x + 3)e^(-x) = (x^2 - 4x - 1)e^(-x). Setting f''(x) = 0 requires solving x^2 - 4x - 1 = 0 since e^(-x) > 0. The discriminant is Delta = 16 - 4(1)(-1) = 20, giving roots x = [4 +/- sqrt(20)] / 2 = 2 +/- sqrt(5). Since f''(x) changes sign across each root, both are inflection points.
5What is the indefinite integral (primitive) I = integral of (2x + 3) / (x^2 + 4x + 13) dx?
A.ln(x^2 + 4x + 13) - (1/3)*arctan((x + 2)/3) + C
B.ln(x^2 + 4x + 13) - 3*arctan((x + 2)/3) + C
C.(1/2)*ln(x^2 + 4x + 13) - arctan((x + 2)/3) + C
D.ln(x^2 + 4x + 13) + (1/3)*arctan(x + 2) + C
Explanation: Decompose the numerator by expressing it in terms of the derivative of the denominator d(x^2 + 4x + 13)/dx = 2x + 4. Thus, 2x + 3 = (2x + 4) - 1. The integral splits into integral (2x + 4)/(x^2 + 4x + 13) dx - integral 1/((x + 2)^2 + 9) dx. The first integral evaluates to ln(x^2 + 4x + 13). The second integral is of standard form integral du/(u^2 + a^2) = (1/a)*arctan(u/a) with u = x + 2 and a = 3, giving (1/3)*arctan((x + 2)/3). Combining gives ln(x^2 + 4x + 13) - (1/3)*arctan((x + 2)/3) + C.
6What is the value of the definite integral J = integral from 0 to pi/2 of sin(x) / (1 + cos^2(x)) dx?
A.pi / 2
B.pi / 4
C.ln(2)
D.pi / 8
Explanation: Use the substitution u = cos(x), which gives du = -sin(x) dx. When x = 0, u = 1; when x = pi/2, u = 0. The integral becomes integral from 1 to 0 of -du / (1 + u^2) = integral from 0 to 1 of du / (1 + u^2) = [arctan(u)] from 0 to 1 = arctan(1) - arctan(0) = pi/4 - 0 = pi/4.
7What is the value of the definite integral K = integral from 1 to e of x^2 * ln(x) dx?
A.(e^3 - 1) / 3
B.(2e^3 - 1) / 9
C.(2e^3 + 1) / 9
D.(e^3 + 2) / 9
Explanation: Apply integration by parts with u = ln(x) and dv = x^2 dx, so du = (1/x) dx and v = x^3 / 3. Then K = [ (x^3 / 3) * ln(x) ]_1^e - integral from 1 to e of (x^3 / 3) * (1/x) dx = (e^3 / 3)*1 - 0 - (1/3) * integral from 1 to e of x^2 dx = e^3 / 3 - (1/3)*[x^3 / 3]_1^e = e^3 / 3 - (e^3 - 1) / 9 = (3e^3 - e^3 + 1) / 9 = (2e^3 + 1) / 9.
8What is the solution y(x) to the first-order differential equation y' + 2y = 4e^(-2x) satisfying the initial condition y(0) = 3?
A.y(x) = (2x + 3)e^(-2x)
B.y(x) = 3e^(-2x) + 4e^(2x)
C.y(x) = (4x - 3)e^(2x)
D.y(x) = (4x + 3)e^(-2x)
Explanation: The integrating factor is mu(x) = e^(integral 2 dx) = e^(2x). Multiplying the differential equation by e^(2x) yields (y * e^(2x))' = 4e^(-2x) * e^(2x) = 4. Integrating both sides with respect to x gives y * e^(2x) = 4x + C, which implies y(x) = (4x + C)e^(-2x). Applying the initial condition y(0) = 3 gives (0 + C)*1 = 3, so C = 3. Therefore, y(x) = (4x + 3)e^(-2x).
9What is the particular solution to the second-order differential equation y'' - 6y' + 9y = 0 subject to y(0) = 1 and y'(0) = 5?
A.y(x) = (1 + 2x)e^(3x)
B.y(x) = (1 + 5x)e^(3x)
C.y(x) = e^(3x) + 2x*e^(-3x)
D.y(x) = (2 + x)e^(3x)
Explanation: The characteristic equation is r^2 - 6r + 9 = 0, which factors as (r - 3)^2 = 0. This yields a repeated real root r = 3. The general solution is y(x) = (C1 + C2*x)e^(3x). Using y(0) = 1 gives C1 = 1. The derivative is y'(x) = C2*e^(3x) + 3(C1 + C2*x)e^(3x). Evaluating at x = 0 gives y'(0) = C2 + 3*C1 = C2 + 3 = 5, which gives C2 = 2. Thus, the solution is y(x) = (1 + 2x)e^(3x).
10What is a particular solution y_p(x) of the differential equation y'' + 4y = 8*cos(2x)?
A.y_p(x) = 2*cos(2x)
B.y_p(x) = 2x*sin(2x)
C.y_p(x) = -2x*cos(2x)
D.y_p(x) = 4x*sin(2x)
Explanation: The homogeneous equation y'' + 4y = 0 has roots r = +/- 2i, giving homogeneous solutions cos(2x) and sin(2x). Because 2i matches the driving frequency, resonance occurs. We seek a particular solution of the form y_p(x) = x*(A*cos(2x) + B*sin(2x)). Differentiating twice: y_p' = A*cos(2x) + B*sin(2x) + x*(-2A*sin(2x) + 2B*cos(2x)), and y_p'' = -4A*sin(2x) + 4B*cos(2x) - 4x*(A*cos(2x) + B*sin(2x)). Substituting into y_p'' + 4y_p yields -4A*sin(2x) + 4B*cos(2x) = 8*cos(2x). Matching coefficients gives -4A = 0 => A = 0, and 4B = 8 => B = 2. Hence, y_p(x) = 2x*sin(2x).

About the Lebanese University Faculty of Engineering Entrance Examination Exam

The Lebanese University Faculty of Engineering First-Year Entrance Examination (Concours d'entree ULFG / مباراة الدخول إلى كلية الهندسة في الجامعة اللبنانية) is the competitive examination that serves as the sole route into first-year engineering studies at the faculty's three branches: Branch I in Tripoli, Branch II in Roumieh and Branch III at the Rafic Hariri University Campus in Hadath. For the 2026-2027 intake the faculty announced a single examination day on Wednesday 15 July 2026, with online applications open from 1 June to 10 July 2026, covering Mathematics, Physics and Chemistry. Earlier sessions also included Arabic and foreign-language papers; these no longer form part of the announced subject list. The examination is set against the Lebanese Baccalaureate and French Baccalaureate programmes together, and teaching at all three branches is conducted in French and English. Candidates register and pay the entrance-exam fee through LibanPost. This 100-question practice bank is an independent English-language multiple-choice study adaptation by OpenExamPrep; the faculty does not publish an item-type specification, so this bank is not a simulation of the official paper format.

Exam sponsor: Faculty of Engineering (Faculté de Génie - ULFG / كلية الهندسة), Lebanese University (الجامعة اللبنانية). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Single competitive entrance examination and the sole route into the first year of the engineering diploma programme at the Lebanese University Faculty of Engineering (Branch I Tripoli, Branch II Roumieh, Branch III Hadath on the Rafic Hariri University Campus). For the 2026-2027 intake the exam covers three subjects - Mathematics, Physics and Chemistry - and is set against the Lebanese Baccalaureate and French Baccalaureate programmes together. In the 2025 session the papers ran Mathematics 08:30-11:00, Physics 11:30-13:30 and Chemistry 13:30-14:30 on a single day. Eligible candidates hold the Lebanese Baccalaureate in General Sciences or Life Sciences, the Technical Baccalaureate in an accepted specialisation, or the French Baccalaureate. Teaching at all three branches is in French and English.

Time Limit

A single examination day in mid-July: Wednesday 15 July 2026 for the 2026-2027 intake, with online applications open 1 June - 10 July 2026. In the 2025 session the papers ran Mathematics 2h30, Physics 2h and Chemistry 1h, with a 30-minute break after mathematics.

Passing Score

Admission is by competitive rank order on the aggregate mark across Mathematics, Physics and Chemistry, within the capacity fixed for the candidate's chosen branch. The faculty does not publish a fixed qualifying average or an annual intake quota.

Exam / Certification Fees

LBP 500,000 entrance-exam registration fee plus a LBP 50,000 fiscal stamp, paid at LibanPost (published for the 2025-2026 session; set annually by the faculty)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

41.7% of official marks (5 / 12)

Mathematics (Mathématiques)

Advanced calculus (limits, Taylor approximations, continuity, differentiability, asymptotes, concavity, primitives, definite integrals, integration by parts, first- and second-order differential equations); Complex numbers (algebraic, polar, exponential forms, geometric transformations); 3D Space geometry (planes, lines, distances, scalar and cross products, spheres); Numerical sequences and mathematical induction; Conic sections (parabolas, ellipses, hyperbolas); Combinatorics and probability distributions.

25.0% of official marks (3 / 12)

Physics (Physique)

Newtonian mechanics (Newton's laws, friction on inclined planes, linear momentum conservation, work-energy theorem, rotational dynamics of rigid bodies, torque, moment of inertia, angular momentum); Oscillations (spring-mass systems, torsion pendulums, damped vibrations, resonance); Electromagnetism and AC circuits (Faraday's law, Lenz's law, self-inductance, RL/RC transients, series RLC circuits, resonance, impedance, power factor); Wave optics and modern physics (Young's double-slit interference, optical path differences, photoelectric effect, Bohr hydrogen model).

16.7% of official marks (2 / 12)

Chemistry (Chimie)

Chemical reaction kinetics (differential rate laws, reaction order, half-life, Arrhenius equation); Chemical equilibrium (Kc, Kp, Le Chatelier's principle); Aqueous solutions and acid-base equilibria (Ka, Kb, pH, buffer solutions, titration curves, equivalence point); Organic chemistry (alcohols, carbonyls, carboxylic acids, esters, saponification, polyamides, polymers, chirality, amino acids, peptide bonds).

Preparing for the Lebanese University Faculty of Engineering Entrance Examination Exam

What You Need to Know

  • Passing score: Admission is by competitive rank order on the aggregate mark across Mathematics, Physics and Chemistry, within the capacity fixed for the candidate's chosen branch. The faculty does not publish a fixed qualifying average or an annual intake quota.
  • Assessment: Single competitive entrance examination and the sole route into the first year of the engineering diploma programme at the Lebanese University Faculty of Engineering (Branch I Tripoli, Branch II Roumieh, Branch III Hadath on the Rafic Hariri University Campus). For the 2026-2027 intake the exam covers three subjects - Mathematics, Physics and Chemistry - and is set against the Lebanese Baccalaureate and French Baccalaureate programmes together. In the 2025 session the papers ran Mathematics 08:30-11:00, Physics 11:30-13:30 and Chemistry 13:30-14:30 on a single day. Eligible candidates hold the Lebanese Baccalaureate in General Sciences or Life Sciences, the Technical Baccalaureate in an accepted specialisation, or the French Baccalaureate. Teaching at all three branches is in French and English.
  • Time limit: A single examination day in mid-July: Wednesday 15 July 2026 for the 2026-2027 intake, with online applications open 1 June - 10 July 2026. In the 2025 session the papers ran Mathematics 2h30, Physics 2h and Chemistry 1h, with a 30-minute break after mathematics.
  • Exam / certification fees: LBP 500,000 entrance-exam registration fee plus a LBP 50,000 fiscal stamp, paid at LibanPost (published for the 2025-2026 session; set annually by the faculty) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Lebanese University Faculty of Engineering Entrance Examination: Suggested Study Strategy

1Give mathematics the largest share of your preparation: in the 2025 session it was allocated 2h30 against 2h for physics and 1h for chemistry, and it has historically carried the heaviest weight in the aggregate.
2Practice solving past ULFG written concours papers under strict timed conditions to build speed and accuracy.
3Master calculus techniques thoroughly, especially trigonometric integrals, substitution, integration by parts, and second-order differential equations.
4Ensure solid command of both translational and rotational mechanics, specifically moments of inertia, angular momentum conservation, and RLC resonance.
5Review acid-base equilibria calculations (titration curves, buffer solutions) and organic reaction mechanisms (esterification, saponification, polymer condensation).

Frequently Asked Questions

What is the Lebanese University Faculty of Engineering Entrance Examination (Concours ULFG)?

The Concours d'entrée ULFG is the mandatory, highly competitive written entrance examination for admission into first-year engineering at the Lebanese University Faculty of Engineering (Faculté de Génie - ULFG). It is the sole route into the 5-year engineering curriculum across Branch I (Tripoli), Branch II (Roumieh), and Branch III (Hadath).

What subjects are tested on the Concours ULFG?

For the 2026-2027 intake the Faculty of Engineering announced that the entrance examination covers Mathematics, Physics and Chemistry. Earlier sessions also included Arabic and foreign-language papers, which no longer appear in the announced subject list. In the 2025 session the papers ran Mathematics 2h30, Physics 2h and Chemistry 1h on a single day, so mathematics carries the largest share of examination time.

What is the passing score and admission acceptance rate for ULFG?

Admission is competitive: candidates are ranked on their aggregate mark across the three papers and admitted in descending order until the capacity set for their chosen branch is filled. The faculty does not publish a fixed qualifying average or an annual intake quota, so the effective threshold varies with the strength of each cohort.

When is the Concours ULFG held for the 2026–2027 academic year?

For the 2026–2027 intake, the written entrance examination is held on 15 July 2026. Online candidate applications and dossier submissions run from 1 June to 10 July 2026 via the official Lebanese University portal.

In what languages are the entrance exams and engineering programs offered?

The entrance examination is sat in French or English, and it is set against the Lebanese Baccalaureate and French Baccalaureate programmes together. Teaching at all three branches of the Faculty of Engineering is conducted in French and English.

Is the official Concours ULFG a multiple-choice exam?

No. The faculty publishes the examined subjects and their durations but no item-type specification, and it makes past papers available rather than a format guide. This 100-question bank is an independent English-language multiple-choice study adaptation by OpenExamPrep for self-paced practice, not a simulation of the official paper.