Free Practice Questions for Lebanese Baccalaureate — General Sciences (GS)

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Key Facts: Lebanese Baccalaureate — General Sciences (GS) Exam

Grade 12 STEM

Final Senior Secondary Year (Terminale SG / GS)

CRDP National Curriculum Framework

10.00 / 20

Minimum General Average (Moyenne) to Pass

MEHE Official Examination Decree

40,000 LBP

Nominal Public Candidate Registration Fee

MEHE Official Candidate Directives

5 Exam Days

Written papers in the 2026 examination session

MEHE Official Examinations Department timetable, 2026 session

3 Languages

Official Exam Languages: Arabic, French, and English

Center for Educational Research and Development

The Lebanese Baccalaureate General Sciences (Bac GS) is Lebanon's premier STEM high school exit qualification, administered by MEHE with exams in Arabic, French, or English. This 108-question English-language MCQ bank is an OpenExamPrep study adaptation for conceptual mastery.

Sample Lebanese Baccalaureate — General Sciences (GS) Practice Questions

Try these sample questions to review concepts for the Lebanese Baccalaureate — General Sciences (GS) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 108+ question experience with AI tutoring.

1What is the algebraic form (x + iy) of the complex number z = (3 + 4i) / (1 - 2i)?

A.-1 + 2i

B.1 + 2i

C.-1 - 2i

D.2 + i

Explanation: Multiplying the numerator and denominator by the complex conjugate of the denominator (1 + 2i) gives ((3 + 4i)(1 + 2i)) / (1² + (-2)²) = (3 + 6i + 4i - 8) / 5 = (-5 + 10i) / 5 = -1 + 2i. Thus, the real part is -1 and the imaginary part is 2.

2What is the modulus and principal argument of the complex number z = (-√6 + i√2) / 2?

A.|z| = √2 and arg(z) = 5π/6

B.|z| = 2 and arg(z) = 5π/6

C.|z| = √2 and arg(z) = 7π/6

D.|z| = 1 and arg(z) = 2π/3

Explanation: The modulus squared is |z|² = (-√6/2)² + (√2/2)² = 6/4 + 2/4 = 8/4 = 2, so |z| = √2. Factoring out √2 yields z = √2(-√3/2 + (1/2)i), which corresponds to cos(θ) = -√3/2 and sin(θ) = 1/2 in the second quadrant, giving the principal argument arg(z) = 5π/6.

3What is the exponential form of the complex number z = 1 - i√3, and what is the value of z⁶?

A.z = 2e^(-iπ/3) and z⁶ = 64

B.z = 2e^(iπ/3) and z⁶ = -64

C.z = 4e^(-iπ/3) and z⁶ = 64

D.z = 2e^(-i2π/3) and z⁶ = 32

Explanation: The modulus is |z| = √(1² + (-√3)²) = √4 = 2. Since cos(θ) = 1/2 and sin(θ) = -√3/2, the principal argument is θ = -π/3, giving z = 2e^(-iπ/3). Applying de Moivre's formula yields z⁶ = 2⁶ e^(-i6π/3) = 64 e^(-i2π) = 64.

4In the complex plane, what is the geometric locus of points M(z) satisfying the equation |z - 2 + 3i| = |z + 1 - i|?

A.The straight line of Cartesian equation 6x - 8y - 11 = 0

B.The circle of center (2, -3) and radius 5

C.The straight line of Cartesian equation 2x + 4y - 5 = 0

D.The ellipse with foci at (2, -3) and (-1, 1)

Explanation: The equation |z - (2 - 3i)| = |z - (-1 + i)| states that the distance from M(z) to A(2, -3) equals the distance from M(z) to B(-1, 1), which defines the perpendicular bisector of segment [AB]. Algebraically, (x - 2)² + (y + 3)² = (x + 1)² + (y - 1)², which expands to x² - 4x + 4 + y² + 6y + 9 = x² + 2x + 1 + y² - 2y + 1, simplifying directly to 6x - 8y - 11 = 0.

5What are the solutions in the set of complex numbers ℂ to the quadratic equation z² - 2√3 z + 4 = 0?

A.z₁ = √3 - i and z₂ = √3 + i

B.z₁ = -√3 - i and z₂ = -√3 + i

C.z₁ = √3 - 2i and z₂ = √3 + 2i

D.z₁ = 2 - i√3 and z₂ = 2 + i√3

Explanation: Using the reduced discriminant Δ' = b'² - ac with b' = -√3: Δ' = (-√3)² - 1(4) = 3 - 4 = -1 = i². Therefore, the roots are z = (-b' ± i) / a = √3 ± i, yielding z₁ = √3 - i and z₂ = √3 + i.

6A planar rotation R with center Ω(1 + i) and angle π/2 maps point A(3 + 2i) to point A'. What is the affix of A'?

A.z' = 3i

B.z' = -1 + 4i

C.z' = 2 + 3i

D.z' = -2 + i

Explanation: The complex representation of a rotation with center ω and angle θ is z' - ω = e^(iθ)(z - ω). Here, θ = π/2 so e^(iπ/2) = i, giving z' - (1 + i) = i((3 + 2i) - (1 + i)) = i(2 + i) = 2i - 1. Solving for z' yields z' = (-1 + 2i) + (1 + i) = 3i.

7What is the limit as x approaches 0 of the function f(x) = (e^(2x) - 1 - 2x) / x²?

A.2

B.1

C.4

D.0

Explanation: Using the Taylor expansion of e^(2x) around 0: e^(2x) = 1 + 2x + (2x)²/2! + o(x²) = 1 + 2x + 2x² + o(x²). Substituting into f(x) gives (1 + 2x + 2x² - 1 - 2x) / x² = 2x²/x² = 2. Alternatively, applying L'Hôpital's rule twice yields lim (2e^(2x) - 2)/(2x) = lim (4e^(2x))/2 = 2.

8What is the limit as x approaches +∞ of the function f(x) = √(x² + 4x + 1) - x?

A.2

B.4

C.0

D.+∞

Explanation: Multiplying and dividing by the conjugate expression gives (x² + 4x + 1 - x²) / (√(x² + 4x + 1) + x) = (4x + 1) / (x(√(1 + 4/x + 1/x²) + 1)). Dividing numerator and denominator by x leads to (4 + 1/x) / (√(1 + 4/x + 1/x²) + 1). As x → +∞, this evaluates to 4 / (1 + 1) = 2.

9What is the limit as x approaches 0 of the function f(x) = (sin(3x) - tan(x)) / x?

A.2

B.1

C.3

D.0

Explanation: Separating the quotient into two standard trigonometric limits yields lim_{x→0} [sin(3x)/x - tan(x)/x] = lim_{x→0} [3 · (sin(3x)/(3x)) - tan(x)/x]. Since lim_{u→0} sin(u)/u = 1 and lim_{x→0} tan(x)/x = 1, the result is 3(1) - 1 = 2.

10Consider the polynomial function f(x) = x³ + 3x - 5 on the interval [1, 2]. What does the Intermediate Value Theorem establish regarding the equation f(x) = 0?

A.f(x) = 0 has a unique real root in the open interval ]1, 2[ because f is continuous and strictly increasing

B.f(x) = 0 has at least two real roots in [1, 2] because f changes sign twice

C.f(x) = 0 has no real roots in [1, 2] because f(1) and f(2) share the same sign

D.f(x) = 0 has a root at x = 1.5 because f is symmetric on [1, 2]

Explanation: Evaluating at the endpoints gives f(1) = 1 + 3 - 5 = -1 < 0 and f(2) = 8 + 6 - 5 = 9 > 0. Because f is a polynomial, it is continuous on [1, 2], and its derivative f'(x) = 3x² + 3 > 0 is strictly positive everywhere on ℝ, meaning f is strictly increasing. By the Intermediate Value Theorem and strict monotonicity, f(x) = 0 has a unique solution in ]1, 2[.

About the Lebanese Baccalaureate — General Sciences (GS) Exam

The Lebanese Baccalaureate — General Sciences stream (GS / Sciences Générales - SG / شهادة الثانوية العامة - فرع العلوم العامة) is the premier national secondary school exit credential in Lebanon for students pursuing intensive studies in mathematics, physics, and technical sciences. Administered nationwide by the Ministry of Education and Higher Education (MEHE) in coordination with the Center for Educational Research and Development (CRDP), passing the Baccalauréat is the mandatory legal prerequisite for secondary graduation and competitive university matriculation into engineering, computer science, architecture, and physical science faculties. The official national examinations are paper-based, constructed-response written exams featuring rigorous mathematical proofs, multi-step physics and chemistry problem solving, and analytical philosophical dissertations, administered in Arabic, French, or English. This question bank is a 108-question English-language MCQ study adaptation developed by OpenExamPrep to provide self-paced diagnostic practice and reinforce core scientific, mathematical, and philosophical concepts.

Exam sponsor: Ministry of Education and Higher Education (MEHE / وزارة التربية والتعليم العالي) & Center for Educational Research and Development (CRDP / CERD). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

National secondary school exit examination organised annually by MEHE across all Lebanese governorates. General Sciences candidates sit written papers in Mathematics, Physics, Chemistry, Philosophy and Civilizations, Arabic Language and Literature, Foreign Language and Literature, History, Geography and Civics. Each paper is marked out of 20 and weighted by an official coefficient, giving maximum marks of 160 for Mathematics, 110 for Physics, 80 for Chemistry, 50 for Arabic, 40 for the foreign language, 40 for Philosophy, and 30 each for History, Geography and Civics, for a total of 570 points. Official examinations are administered in Arabic, French or English; this practice bank is an English-language MCQ study adaptation by OpenExamPrep.

Time Limit

Written papers are sat over five examination days according to the annual MEHE timetable. In the 2026 session the General Sciences papers were Mathematics (4 hours), Physics (3 hours), Chemistry (2 hours), Philosophy and Civilizations (2 hours), Arabic Language and Literature (2.5 hours), Foreign Language and Literature (2.5 hours), and Geography, History and Civics (1 hour each).

Passing Score

General weighted average of at least 10.00 out of 20 (Moyenne générale ≥ 10.00/20) across all papers without disqualifying eliminatory marks.

Exam / Certification Fees

40,000 LBP (nominal public candidate registration fee under MEHE)

Exam sponsor website

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

Official sources

Ministry of Education and Higher Education (MEHE / وزارة التربية والتعليم العالي) & Center for Educational Research and Development (CRDP / CERD): official exam information

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.

28% of official marks (160 / 570)

Mathematics (Mathématiques)

Complex numbers (algebraic, trigonometric, exponential forms, geometric transformations), differential calculus (limits, asymptotes, derivatives, curve sketching, concavity), integral calculus (primitives, definite integrals, integration by parts, areas between curves), differential equations, numerical sequences, space geometry (planes, lines, scalar and vector products, spheres), conics (parabolas, ellipses, hyperbolas), and probability/combinatorics.

19% of official marks (110 / 570)

Physics (Physique)

Newtonian mechanics, work and energy theorems, rotational dynamics of rigid bodies, moment of inertia, mechanical oscillations (elastic, simple, and torsion pendulums), electromagnetic induction (Faraday and Lenz laws), self-induction, alternating current circuits (RL, RC, series RLC resonance, power factor), wave optics (Young's double slit interference, diffraction), and modern physics (photoelectric effect, photon energy, atomic spectra).

14% of official marks (80 / 570)

Chemistry (Chimie)

Chemical kinetics (reaction rates, factors influencing kinetics, half-life, catalysis), chemical dynamic equilibrium (Kc, Le Chatelier's principle), aqueous solution equilibria (strong and weak acids/bases, Ka, Kb, Kw, pH calculations, buffer solutions, titration curves, indicator selection), and organic chemistry (alcohols, carbonyl compounds, carboxylic acids, esters, saponification, polymers, amino acids).

23% of official marks (130 / 570)

Philosophy & Scientific Epistemology (Philosophie)

Epistemology of the sciences (scientific method, role of hypothesis and observation, Claude Bernard's experimental method, determinism and modern quantum physics, Popperian falsifiability, Kuhn's scientific paradigms), general philosophy (consciousness, freedom, Kantian ethics), formal logic (valid deductions, common fallacies), and rhetorical/textual comprehension of philosophical texts.

16% of official marks (90 / 570)

History, Geography & Civics

Three one-hour papers examined in the General Sciences stream: modern and contemporary Lebanese and Arab history, the physical and human geography of Lebanon, and civics (the Constitution, state institutions, citizenship, rights and duties).

Preparing for the Lebanese Baccalaureate — General Sciences (GS) Exam

What You Need to Know

Passing score: General weighted average of at least 10.00 out of 20 (Moyenne générale ≥ 10.00/20) across all papers without disqualifying eliminatory marks.
Assessment: National secondary school exit examination organised annually by MEHE across all Lebanese governorates. General Sciences candidates sit written papers in Mathematics, Physics, Chemistry, Philosophy and Civilizations, Arabic Language and Literature, Foreign Language and Literature, History, Geography and Civics. Each paper is marked out of 20 and weighted by an official coefficient, giving maximum marks of 160 for Mathematics, 110 for Physics, 80 for Chemistry, 50 for Arabic, 40 for the foreign language, 40 for Philosophy, and 30 each for History, Geography and Civics, for a total of 570 points. Official examinations are administered in Arabic, French or English; this practice bank is an English-language MCQ study adaptation by OpenExamPrep.
Time limit: Written papers are sat over five examination days according to the annual MEHE timetable. In the 2026 session the General Sciences papers were Mathematics (4 hours), Physics (3 hours), Chemistry (2 hours), Philosophy and Civilizations (2 hours), Arabic Language and Literature (2.5 hours), Foreign Language and Literature (2.5 hours), and Geography, History and Civics (1 hour each).
Exam / certification fees: 40,000 LBP (nominal public candidate registration fee under MEHE) Official sources

Using Our Practice Resources

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Lebanese Baccalaureate — General Sciences (GS): Suggested Study Strategy

1Work thoroughly through past official CRDP exam sessions to familiarize yourself with recurring problem structures in complex numbers, curve sketching, and mechanics.

2Always write down full vector equations and free-body diagrams before projecting onto axes in rotational dynamics and oscillation problems.

3Check mathematical and physical units systematically, particularly when evaluating time constants (τ = RC, τ = L/R) and resonance angular frequencies (ω₀ = 1/√LC).

4In chemistry acid-base titrations, identify the chemical nature of the equivalence point (weak acid salt, neutral, or weak base salt) to select the correct colored indicator.

5For philosophy of science, memorize key epistemological definitions (induction, falsifiability, determinism) and reference seminal thinkers like Claude Bernard, Karl Popper, and Gaston Bachelard.

Frequently Asked Questions

What is the Lebanese Baccalaureate General Sciences (GS / SG) stream?

The General Sciences (Sciences Générales) stream is the specialized STEM track of the Lebanese secondary school leaving credential. It is designed for Grade 12 students aiming for higher education in engineering, mathematics, physics, computer science, architecture, and technology.

Is the official Lebanese Baccalaureate an MCQ examination?

No. Official Lebanese Baccalaureate examinations are entirely written, constructed-response papers consisting of multi-step problem solving, mathematical proofs, experimental data interpretation, chemical equations, and philosophical essays. Official exams are sat in Arabic, French, or English depending on the candidate's curriculum track. This 108-question practice bank is an English-language MCQ study adaptation by OpenExamPrep to facilitate conceptual review and self-assessment.

What subjects and coefficients apply to the General Sciences stream?

Every paper is marked out of 20 and weighted by an official coefficient. In General Sciences the maximum marks are Mathematics 160, Physics 110, Chemistry 80, Arabic 50, foreign language (French or English) 40, Philosophy and Civilizations 40, and History, Geography and Civics 30 each, for a total of 570 points. Mathematics and Physics together carry 270 of those 570 points, close to half the total, but History, Geography and Civics are examined papers as well.

What passing score is required to obtain the Lebanese Baccalaureate?

Candidates must obtain an overall weighted average (Moyenne Générale) of at least 10.00 out of 20 across all papers. Honors distinctions (Mentions) are awarded at higher averages: Assez Bien (12.00–13.99/20), Bien (14.00–15.99/20), and Très Bien (16.00/20 and above).

Who administers and oversees the Lebanese Baccalaureate?

The examinations are organized and administered by the Examination Directorate of the Ministry of Education and Higher Education (MEHE / وزارة التربية والتعليم العالي), following the official national curriculum designed by the Center for Educational Research and Development (CRDP / CERD).

Were the official Lebanese Baccalaureate examinations held in 2026?

For the 2025-2026 school year the Council of Ministers exempted regular school students from the official examinations and issued an official certificate of success (ifadat najah) to candidates whose school average reached at least 9.5/20 on 1 March 2026. A single exceptional written session was held for free candidates, students who fell below that average and voluntary candidates, and it ran over five examination days: 26, 27, 29 and 31 August and 1 September 2026.