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100+ Free Bac C Bénin Practice Questions

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2026 Statistics

Key Facts: Bac C Bénin Exam

Coeff 6 & 5

Mathématiques (6) & Sciences Physiques (5) lead weighting

Office du Baccalauréat du Bénin

10.00 / 20

Passing weighted average threshold (9.00–9.99 is admissible to the second-group oral)

Décret fixing the Baccalauréat rules, Articles 17–18

5,000 XOF

Registration fee for Beninese candidates (35,000 XOF for foreign candidates)

OBB note de service, 20 November 2025

Free 100-question English MCQ study adaptation for the Benin Baccalauréat Série C (officially Sciences et Techniques). Official examinations administered by OBB are comprehensive written problem sets in French, followed by a compulsory second-group oral in Français and Anglais for borderline candidates. Pass threshold is a weighted average of 10.00/20 across all subjects, with the second-group oral open to scores between 9.00 and 9.99/20.

Sample Bac C Bénin Practice Questions

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

1Evaluate the limit: lim(x→0) [ln(1 + 3x) / sin(2x)].
A.3/2
B.2/3
C.0
D.1
Explanation: Rewrite the expression using standard limits: [ln(1 + 3x) / (3x)] × [(2x) / sin(2x)] × (3/2). As x → 0, ln(1 + 3x)/(3x) → 1 and (2x)/sin(2x) → 1. Therefore, the limit is 1 × 1 × (3/2) = 3/2.
2Let f(x) = (2x - 1)e^(3x). What is the first derivative f'(x)?
A.(6x - 1)e^(3x)
B.(6x + 2)e^(3x)
C.2e^(3x)
D.(6x - 3)e^(3x)
Explanation: Apply the product rule (uv)' = u'v + uv': u(x) = 2x - 1 ⇒ u'(x) = 2; v(x) = e^(3x) ⇒ v'(x) = 3e^(3x). Then f'(x) = 2e^(3x) + (2x - 1) × 3e^(3x) = [2 + 6x - 3]e^(3x) = (6x - 1)e^(3x).
3Calculate the definite integral I = ∫[1 to e] x ln(x) dx.
A.(e² + 1) / 4
B.(e² - 1) / 4
C.(e² + 1) / 2
D.e² / 4
Explanation: Use integration by parts: let u = ln(x) ⇒ du = (1/x)dx, and dv = x dx ⇒ v = x²/2. Then I = [ (x²/2) ln(x) ]_1^e - ∫[1 to e] (x²/2)(1/x) dx = (e²/2 × 1 - 0) - [ x²/4 ]_1^e = e²/2 - (e²/4 - 1/4) = e²/4 + 1/4 = (e² + 1)/4.
4Find the unique solution to the initial value problem y'' - 4y' + 4y = 0 with y(0) = 2 and y'(0) = 5.
A.y(x) = (x + 2)e^(2x)
B.y(x) = (3x + 2)e^(2x)
C.y(x) = 2e^(2x) + xe^(-2x)
D.y(x) = (2 - x)e^(2x)
Explanation: The characteristic equation is r² - 4r + 4 = (r - 2)² = 0, giving a double root r = 2. The general solution is y(x) = (Ax + B)e^(2x). Condition y(0) = 2 ⇒ B = 2. Differentiating yields y'(x) = A e^(2x) + 2(Ax + 2)e^(2x) = (2Ax + A + 4)e^(2x). Condition y'(0) = A + 4 = 5 ⇒ A = 1. Thus y(x) = (x + 2)e^(2x).
5Determine the equation of the tangent line to the curve f(x) = (2x + 3)/(x - 1) at the point with abscissa x = 2.
A.y = -5x + 17
B.y = -5x + 7
C.y = 5x - 3
D.y = -x + 9
Explanation: Evaluate f(2) = (2(2) + 3)/(2 - 1) = 7/1 = 7. Differentiate using the quotient rule: f'(x) = [2(x - 1) - (2x + 3)(1)] / (x - 1)² = [2x - 2 - 2x - 3] / (x - 1)² = -5 / (x - 1)². At x = 2, f'(2) = -5 / 1² = -5. The tangent equation is y - 7 = -5(x - 2) ⇒ y = -5x + 10 + 7 = -5x + 17.
6For the polynomial function f(x) = x⁴ - 6x² + 8x - 3, on which open interval is f strictly concave down (concave vers le bas, f''(x) < 0)?
A.]-1, 1[
B.]-∞, -1[
C.]1, +∞[
D.]-2, 2[
Explanation: Compute the derivatives: f'(x) = 4x³ - 12x + 8; f''(x) = 12x² - 12 = 12(x² - 1) = 12(x - 1)(x + 1). The second derivative is strictly negative when x² - 1 < 0, which corresponds to the interval ]-1, 1[.
7Given the complex number z = (1 + i√3) / (1 - i), what is the algebraic form (a + ib) of z?
A.(1 - √3)/2 + i(1 + √3)/2
B.(1 + √3)/2 + i(√3 - 1)/2
C.(-1 + √3)/2 + i(1 + √3)/2
D.(1 - √3)/2 - i(1 + √3)/2
Explanation: Multiply numerator and denominator by the conjugate of the denominator (1 + i): z = [(1 + i√3)(1 + i)] / [(1 - i)(1 + i)] = [1 + i + i√3 + i²√3] / [1 - i²] = [1 - √3 + i(1 + √3)] / 2 = (1 - √3)/2 + i(1 + √3)/2.
8Calculate the exact value of the complex power (-√3 + i)¹².
A.4096
B.-4096
C.4096i
D.-4096i
Explanation: Convert w = -√3 + i to trigonometric form: modulus |w| = √((-√3)² + 1²) = √4 = 2. Argument: cos θ = -√3/2 and sin θ = 1/2 ⇒ θ = 5π/6. By De Moivre's formula: w¹² = 2¹² [cos(12 × 5π/6) + i sin(12 × 5π/6)] = 4096 [cos(10π) + i sin(10π)] = 4096(1 + 0i) = 4096.
9In the complex plane, a transformation T maps M(z) to M'(z') such that z' = i z + 2 - 2i. What is the geometric nature and invariant center of T?
A.Rotation of angle π/2 centered at Ω(2, 0)
B.Rotation of angle π/2 centered at Ω(0, 2)
C.Homothety of ratio -1 centered at Ω(1, 1)
D.Translation of vector u(2, -2)
Explanation: The transformation has the form z' = az + b with a = i = e^(iπ/2). Since |a| = 1 and a ≠ 1, T is a rotation of angle arg(a) = π/2. The invariant center ω satisfies ω = iω + 2 - 2i ⇒ ω(1 - i) = 2(1 - i) ⇒ ω = 2. Thus the fixed point is Ω(2, 0).
10In 3D space, consider points A(1, 0, -2), B(3, 2, 4), and C(-1, 4, 2). What are the coordinates of the barycenter G of the weighted system {(A, 2), (B, 1), (C, 1)}?
A.(1, 1.5, 0.5)
B.(1, 1.5, 2)
C.(2, 2, 1)
D.(1.5, 1, 1)
Explanation: Total mass = 2 + 1 + 1 = 4. Coordinate formulas: x_G = [2(1) + 1(3) + 1(-1)] / 4 = 4/4 = 1; y_G = [2(0) + 1(2) + 1(4)] / 4 = 6/4 = 1.5; z_G = [2(-2) + 1(4) + 1(2)] / 4 = (-4 + 4 + 2) / 4 = 2/4 = 0.5. Thus G = (1, 1.5, 0.5).

About the Bac C Bénin Exam

Série C — officially titled Sciences et Techniques by the Office du Baccalauréat du Bénin (OBB) — is the mathematics and physical sciences stream of the National Baccalauréat in the Republic of Benin, organized annually by the OBB under the Ministère de l'Enseignement Supérieur et de la Recherche Scientifique (MESRS). Designed as the direct pipeline into university mathematics, physics, engineering faculties, and polytechnics (such as EPAC at Université d'Abomey-Calavi), Série C places primary weight on Mathématiques (coefficient 6) and Sciences Physiques (coefficient 5). Official examination papers consist of extended multi-part written problem sets, proofs, essays, and text commentaries administered in French, followed for borderline candidates by a compulsory second-group oral in Français and Anglais. This study aid is an English-language MCQ adaptation developed to reinforce core analytical principles, exact numerical calculations, scientific models, and cross-disciplinary concepts; it is not an official translation, an official-format simulation, or a substitute for the written and oral papers.

Assessment

First group (écrit), per the OBB coefficient table: Mathématiques (coeff 6, 4h), Sciences Physiques (coeff 5, 4h), Français (coeff 2, 4h), Anglais / Langue Vivante 1 (coeff 2, 3h), SVT (coeff 2, 2h), Histoire-Géographie (coeff 2, 2h) and Philosophie (coeff 2, 2h) — Total 1 = 21 coefficients (420 points) — plus EPS (coeff 1) for 22 coefficients / 440 points. Candidates averaging 9.00 to 9.99/20 are declared admissible to the second group, a compulsory oral in Français (coeff 2) and Anglais (coeff 2) worth 80 points, giving a 26-coefficient / 520-point total. The 2026 session sat 15–18 June.

Time Limit

21 hours of written papers, sat across the 4-day national session

Passing Score

10/20 (Weighted average >= 10.00 / 20; 9.00–9.99 qualifies for the second-group oral)

Exam Fee

5,000 XOF registration for Beninese candidates; 35,000 XOF for foreign candidates; plus 1,000 XOF for the relevé de notes and 2,000 XOF photo-scanning/form-printing for candidats libres (OBB note de service, 20 November 2025) (Office du Baccalauréat du Bénin (OBB) — Ministère de l'Enseignement Supérieur et de la Recherche Scientifique)

Bac C Bénin Exam Content Outline

Coeff 6 (~28% of study bank)

Mathématiques

Analysis, differential calculus, integrals, differential equations, complex numbers, barycenters, vector geometry, arithmetic congruences, and probability.

Coeff 5 (~25% of study bank)

Sciences Physiques / Physique-Chimie

Newtonian mechanics, kinematics, gravitation, oscillations, projectile motion, electromagnetism, RC/RL/RLC circuits, wave optics, acid-base equilibrium, kinetics, and organic chemistry.

Coeff 2 (~11% of study bank)

Sciences de la Vie et de la Terre (SVT)

Molecular genetics, DNA replication, transcription/translation, immunology, neurophysiology, and plate tectonics.

Coeff 2 (~9% of study bank)

Français

Literary analysis, text synthesis, argumentation, rhetorical figures, and Beninese/African literature.

Coeff 2 (~9% of study bank)

Philosophie

Epistemology of exact sciences, logic, rationalism vs empiricism, scientific ethics, and African philosophy.

Coeff 2 (~9% of study bank)

Histoire-Géographie

20th-century world history, Cold War geopolitics, decolonization, and West African / Beninese economic geography.

Coeff 2 (~9% of study bank)

Langue Vivante 1 / Anglais

Scientific reading comprehension, grammar, passive voice, conditionals, and technical vocabulary.

How to Pass the Bac C Bénin Exam

What You Need to Know

  • Passing score: 10/20 (Weighted average >= 10.00 / 20; 9.00–9.99 qualifies for the second-group oral)
  • Assessment: First group (écrit), per the OBB coefficient table: Mathématiques (coeff 6, 4h), Sciences Physiques (coeff 5, 4h), Français (coeff 2, 4h), Anglais / Langue Vivante 1 (coeff 2, 3h), SVT (coeff 2, 2h), Histoire-Géographie (coeff 2, 2h) and Philosophie (coeff 2, 2h) — Total 1 = 21 coefficients (420 points) — plus EPS (coeff 1) for 22 coefficients / 440 points. Candidates averaging 9.00 to 9.99/20 are declared admissible to the second group, a compulsory oral in Français (coeff 2) and Anglais (coeff 2) worth 80 points, giving a 26-coefficient / 520-point total. The 2026 session sat 15–18 June.
  • Time limit: 21 hours of written papers, sat across the 4-day national session
  • Exam fee: 5,000 XOF registration for Beninese candidates; 35,000 XOF for foreign candidates; plus 1,000 XOF for the relevé de notes and 2,000 XOF photo-scanning/form-printing for candidats libres (OBB note de service, 20 November 2025)

Keys to Passing

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

Bac C Bénin Study Tips from Top Performers

1Master differential calculus, integrals, complex numbers, and Euclidean arithmetic, which form the bedrock of the 4-hour Coeff 6 Mathématiques paper.
2Work through complete numerical calculations in Newtonian dynamics, circuit differential equations (RLC), and chemical stoichiometry without skipping intermediate steps.
3Balance your prep: while Math and Physics carry 11 out of 20 total coefficient points, humanities and languages (Français, Philosophie, Histoire-Géo, Anglais) provide essential points toward securing a Mention (Bien or Très Bien).
4Practice step-by-step reasoning and precise unit conversions (e.g., cm³ to m³, eV to Joules, mmol/L to mol/L) to eliminate systematic arithmetic errors.

Frequently Asked Questions

Is the official Benin Bac Série C exam delivered as multiple-choice questions?

No. The official Baccalauréat in Benin is conducted entirely in French using paper-based written problem sets, proofs, laboratory interpretation, and essay prompts, followed by a compulsory second-group oral for admissible borderline candidates. This prep module is an English-language MCQ study adaptation for self-assessment and computational practice — it is not an official translation and does not simulate the written or oral papers.

What is the passing score and how does the grading system work for Bac C in Benin?

Candidates must achieve a minimum weighted general average (moyenne générale) of 10.00 out of 20.00 across all coefficient-weighted papers to pass on the first group (admis). Under Article 17 of the governing decree, candidates with averages of at least 9.00 and below 10.00 are declared admissible to the second-group oral; Article 18 then awards the Baccalauréat to those whose combined first- and second-group average reaches 10.00/20. Candidates below 9.00 are ajournés. Note that Benin's admissibility band is 9.00–9.99, not the 8.00–9.99 band used in France.

What are the subject coefficients and time allowances in Série C?

Per the OBB list of examination papers, the first-group written coefficients in Série C are: Mathématiques (coeff 6, 4 hours), Sciences Physiques (coeff 5, 4 hours), Français (coeff 2, 4 hours), Anglais / Langue Vivante 1 (coeff 2, 3 hours), SVT (coeff 2, 2 hours), Histoire-Géographie (coeff 2, 2 hours) and Philosophie (coeff 2, 2 hours), totalling 21 coefficients, plus EPS (coeff 1) for 22. The second-group oral adds Français (coeff 2) and Anglais (coeff 2) for a 26-coefficient total.

What are the registration fees for the Benin Baccalauréat?

Per the OBB note de service of 20 November 2025, Beninese candidates pay 5,000 FCFA (XOF) in registration fees and foreign candidates pay 35,000 FCFA. A further 1,000 FCFA covers the relevé de notes, and candidats libres pay an additional 2,000 FCFA for photo scanning and printing of the registration form.