100+ Free Cameroon Baccalauréat Série C Practice Questions

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2026 Statistics

Key Facts: Cameroon Baccalauréat Série C Exam

Coef 7 + Coef 4

Weight of Maths & Physics

Office du Baccalauréat du Cameroun (OBC)

10.00 / 20

Minimum Pass Average

MINESEC Examination Regulations

13,000 FCFA

Official Registration Fee

Office du Baccalauréat du Cameroun (OBC)

The Cameroon Baccalauréat Série C is the elite national high school diploma in mathematics and physical sciences administered by the OBC, requiring a general average ≥ 10/20 across heavily weighted STEM and humanities exams.

Sample Cameroon Baccalauréat Série C Practice Questions

Try these sample questions to test your Cameroon Baccalauréat Série C 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: $\lim_{x \to 0} \frac{\sqrt{1 + x + x^2} - 1}{x}$.

A.1/2

B.1

C.0

D.2

Explanation: Multiplying numerator and denominator by the conjugate $\sqrt{1+x+x^2}+1$ yields $\frac{(1+x+x^2)-1}{x(\sqrt{1+x+x^2}+1)} = \frac{x(1+x)}{x(\sqrt{1+x+x^2}+1)} = \frac{1+x}{\sqrt{1+x+x^2}+1}$. As $x \to 0$, this expression evaluates to $\frac{1+0}{\sqrt{1}+1} = \frac{1}{2}$.

2Let $f$ be the real function defined on $\mathbb{R}$ by $f(x) = \ln\left(x + \sqrt{x^2 + 1}\right)$. What is the first derivative $f'(x)$?

A.\frac{1}{x + \sqrt{x^2+1}}

B.\frac{1}{\sqrt{x^2+1}}

C.\frac{x}{\sqrt{x^2+1}}

D.\frac{2x}{\sqrt{x^2+1}}

Explanation: Using the chain rule, $f'(x) = \frac{(x+\sqrt{x^2+1})'}{x+\sqrt{x^2+1}} = \frac{1 + \frac{x}{\sqrt{x^2+1}}}{x+\sqrt{x^2+1}} = \frac{\frac{\sqrt{x^2+1}+x}{\sqrt{x^2+1}}}{x+\sqrt{x^2+1}} = \frac{1}{\sqrt{x^2+1}}$.

3Evaluate the definite integral $I = \int_1^e x^2 \ln(x) \, dx$ using integration by parts.

A.\frac{2e^3 - 1}{9}

B.\frac{e^3 + 2}{9}

C.\frac{2e^3 + 1}{9}

D.\frac{3e^3 + 1}{6}

Explanation: Setting $u = \ln(x) \implies u' = 1/x$ and $v' = x^2 \implies v = x^3/3$, integration by parts gives $I = [\frac{x^3}{3}\ln x]_1^e - \int_1^e \frac{x^3}{3} \cdot \frac{1}{x} dx = \frac{e^3}{3} - \frac{1}{3}[\frac{x^3}{3}]_1^e = \frac{e^3}{3} - \frac{e^3 - 1}{9} = \frac{2e^3 + 1}{9}$.

4What is the general solution on $\mathbb{R}$ to the first-order linear differential equation $y' + 2y = 4x$?

A.y(x) = C e^{-2x} + 2x - 1

B.y(x) = C e^{2x} + 2x + 1

C.y(x) = C e^{-2x} + 4x - 2

D.y(x) = C e^{2x} - 2x + 1

Explanation: The homogeneous solution is $y_h(x) = C e^{-2x}$. For the particular solution $y_p(x) = Ax + B$, substituting gives $A + 2(Ax + B) = 4x \implies 2Ax + (A + 2B) = 4x$. Equating coefficients yields $A = 2$ and $B = -1$, so $y(x) = C e^{-2x} + 2x - 1$ ($C \in \mathbb{R}$).

5Find the unique solution $y(x)$ to the second-order differential equation $y'' - 4y' + 13y = 0$ satisfying initial conditions $y(0) = 2$ and $y'(0) = 7$.

A.y(x) = e^{2x}(2\cos(3x) - 3\sin(3x))

B.y(x) = e^{2x}(2\cos(3x) + \sin(3x))

C.y(x) = e^{3x}(\cos(2x) + 2\sin(2x))

D.y(x) = e^{-2x}(2\cos(3x) + 7\sin(3x))

Explanation: The characteristic equation $r^2 - 4r + 13 = 0$ has complex conjugate roots $r = 2 \pm 3i$. The general solution is $y(x) = e^{2x}(A\cos(3x) + B\sin(3x))$. With $y(0) = A = 2$, the derivative is $y'(0) = 2A + 3B = 4 + 3B = 7 \implies B = 1$. Thus $y(x) = e^{2x}(2\cos(3x) + \sin(3x))$.

6What is a particular solution $y_p(x)$ to the non-homogeneous second-order differential equation $y'' - 3y' + 2y = 2e^{3x}$?

A.y_p(x) = 2e^{3x}

B.y_p(x) = \frac{1}{2}e^{3x}

C.y_p(x) = e^{3x}

D.y_p(x) = x e^{3x}

Explanation: Since $r = 3$ is not a root of the characteristic equation $r^2 - 3r + 2 = (r-1)(r-2) = 0$, we test $y_p(x) = A e^{3x}$. Substituting yields $(9 - 9 + 2)A e^{3x} = 2A e^{3x} = 2e^{3x} \implies A = 1$. Thus $y_p(x) = e^{3x}$.

7Find the set of real solutions $S$ to the inequality $\ln(2x - 1) + \ln(x + 2) \le \ln(3x + 14)$.

A.S = [-2\sqrt{2}, 2\sqrt{2}]

B.S = ]1/2, 2\sqrt{2}]

C.S = ]1/2, 4]

D.S = [0, 2\sqrt{2}]

Explanation: The domain requires $2x - 1 > 0 \implies x > 1/2$, $x + 2 > 0 \implies x > -2$, and $3x + 14 > 0 \implies x > -14/3$, giving domain $D = ]1/2, +\infty[$. The inequality becomes $(2x - 1)(x + 2) \le 3x + 14 \iff 2x^2 + 3x - 2 \le 3x + 14 \iff 2x^2 \le 16 \iff x^2 \le 8$. Intersecting $[-2\sqrt{2}, 2\sqrt{2}]$ with $D$ yields $S = ]1/2, 2\sqrt{2}]$.

8A real sequence $(u_n)$ is defined by $u_0 = 1$ and $u_{n+1} = \frac{1}{3}u_n + 4$ for all $n \in \mathbb{N}$. What is $\lim_{n \to +\infty} u_n$?

A.4

B.6

C.12

D.The sequence diverges to +\infty

Explanation: The fixed point $L$ satisfies $L = \frac{1}{3}L + 4 \implies \frac{2}{3}L = 4 \implies L = 6$. The auxiliary sequence $v_n = u_n - 6$ is geometric with ratio $1/3$, so $u_n = 6 - 5(1/3)^n$. Since $|1/3| < 1$, $(1/3)^n \to 0$ as $n \to \infty$, so $\lim_{n \to \infty} u_n = 6$.

9Determine the limit of the sequence $(S_n)$ defined for $n \ge 1$ by $S_n = \sum_{k=1}^n \frac{1}{\sqrt{n^2 + k}}$ as $n \to +\infty$.

A.0

B.1/2

C.1

D.+\infty

Explanation: For each $k \in \{1, \dots, n\}$, $\frac{1}{\sqrt{n^2 + n}} \le \frac{1}{\sqrt{n^2 + k}} \le \frac{1}{\sqrt{n^2 + 1}}$. Summing over $k=1$ to $n$ gives $\frac{n}{\sqrt{n^2 + n}} \le S_n \le \frac{n}{\sqrt{n^2 + 1}}$. Both bounds tend to 1 as $n \to +\infty$, so by the Squeeze Theorem, $\lim_{n \to \infty} S_n = 1$.

10Calculate the exact value of the definite integral $J = \int_0^{\pi/2} \frac{\cos x}{1 + \sin^2 x} \, dx$.

A.\frac{\pi}{2}

B.\frac{\pi}{4}

C.\ln(2)

D.\frac{\pi}{6}

Explanation: Using the substitution $u = \sin x$, $du = \cos x \, dx$. The limits transform from $x = 0 \implies u = 0$ to $x = \pi/2 \implies u = 1$. The integral becomes $\int_0^1 \frac{du}{1 + u^2} = [\arctan(u)]_0^1 = \arctan(1) - \arctan(0) = \frac{\pi}{4}$.

About the Cameroon Baccalauréat Série C Exam

The Cameroon Baccalauréat Série C (Mathématiques et Sciences Physiques) is the most prestigious and demanding secondary school leaving diploma in Cameroon. Administered nationally by the Office du Baccalauréat du Cameroun (OBC) under the Ministry of Secondary Education (MINESEC), Série C prepares the nation's top mathematical and scientific talents for competitive entrance examinations (concours) into prestigious engineering schools (Polytechnique Yaoundé/Douala), medical faculties (FMSB), higher teacher training colleges (ENS), and international STEM universities. The examination features heavy mathematical weighting (Coefficient 7), physics (Coefficient 4), chemistry (Coefficient 2), biological sciences/SVTEEHB (Coefficient 2), and computer science (Coefficient 2), combined with solid foundations in French, Philosophy, History-Geography, and English. This 100-question practice bank provides comprehensive coverage of all official curriculum competencies with detailed worked solutions. Format and language note: the official examination is written in French and assessed by essays, dissertations, structured problems and practical or oral papers, not by multiple-choice questions. This site's practice bank is a 100-question English-language MCQ study adaptation of the official syllabus — a study aid for the underlying knowledge and reasoning. It is not an official translation, not an official-format simulation, and not a substitute for practising French-language written composition or the practical and oral components.

Assessment

Multi-subject national written examination defined by Arrêté n° 94/22/MINESEC of 17 March 2022. 1er groupe: Mathématiques (4h, coef 7), Physique Théorique (4h, coef 3), Physique Pratique (1h, coef 1), Chimie Théorique (3h, coef 1,5), Chimie Pratique (1h, coef 0,5) and Informatique (2h, coef 2). 2ème groupe: Littérature ou Culture Générale (3h, coef 2), Langue Française (2h, coef 1), Anglais (2h, coef 3), SVTEEHB (2h, coef 2), Philosophie (2h, coef 2), Géographie (2h, coef 1), Éducation à la Citoyenneté et à la Morale (2h, coef 2) and EPS théorique (2h, coef 2), plus optional épreuves facultatives (1h, coef 1). Série C includes compulsory Physique Pratique and Chimie Pratique papers; it has no Histoire paper.

Time Limit

Approximately 32 hours of scheduled papers across the written phase of 25–26 and 28–30 May 2026; individual papers range from 1 to 4 hours

Passing Score

Moyenne générale of at least 10.00/20 across all coefficient-weighted papers

Exam Fee

13,000 FCFA (Office du Baccalauréat du Cameroun (OBC))

Cameroon Baccalauréat Série C Exam Content Outline

35%

Mathématiques

Limits, derivatives, differential equations, integral calculus, logarithmic and exponential functions, complex algebra, planar similitudes, 3D space geometry, barycenters, matrix algebra, endomorphisms, combinatorics, probability distributions, and bivariate linear regression.

25%

Physique

Kinematics, Newton's laws, projectile trajectories, orbital gravitation, mechanical oscillators, wave propagation, electric and magnetic Lorentz forces, Laplace forces, electromagnetic induction, RLC alternating current circuits, wave optics (diffraction and Young's interference), and atomic/nuclear physics.

15%

Chimie

Aqueous solutions, pH calculations, buffer solutions, acid-base titrations, chemical kinetics and reaction rate laws, Arrhenius activation energy, alcohols, esterification and saponification, amino acids and peptides, synthetic polymers, and redox galvanic cells/electrolysis.

10%

SVTEEHB & Informatique

Monohybrid and dihybrid genetics, chromosomal crossing-over, sex-linked inheritance, adaptive immunology, action potentials and synaptic transmission, algorithm design and asymptotic complexity, trace tables, two's complement binary representation, and Boolean logic.

15%

Français, Philosophie & Sciences Humaines

Epistemological theories (Popper, Bachelard, Claude Bernard), African critical philosophy (Marcien Towa, Ebénézer Njoh-Mouellé), ethics of technology (Hans Jonas), existentialism (Sartre), French rhetorical devices, textual argumentation, and the history of scientific revolutions.

How to Pass the Cameroon Baccalauréat Série C Exam

What You Need to Know

Passing score: Moyenne générale of at least 10.00/20 across all coefficient-weighted papers
Assessment: Multi-subject national written examination defined by Arrêté n° 94/22/MINESEC of 17 March 2022. 1er groupe: Mathématiques (4h, coef 7), Physique Théorique (4h, coef 3), Physique Pratique (1h, coef 1), Chimie Théorique (3h, coef 1,5), Chimie Pratique (1h, coef 0,5) and Informatique (2h, coef 2). 2ème groupe: Littérature ou Culture Générale (3h, coef 2), Langue Française (2h, coef 1), Anglais (2h, coef 3), SVTEEHB (2h, coef 2), Philosophie (2h, coef 2), Géographie (2h, coef 1), Éducation à la Citoyenneté et à la Morale (2h, coef 2) and EPS théorique (2h, coef 2), plus optional épreuves facultatives (1h, coef 1). Série C includes compulsory Physique Pratique and Chimie Pratique papers; it has no Histoire paper.
Time limit: Approximately 32 hours of scheduled papers across the written phase of 25–26 and 28–30 May 2026; individual papers range from 1 to 4 hours
Exam fee: 13,000 FCFA

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Frequently Asked Questions

What is the passing criteria for the Cameroon Baccalauréat Série C?

To obtain the Baccalauréat C, a candidate must obtain a weighted general average (Moyenne générale) of at least 10.00 out of 20 across all subjects. Subject scores are multiplied by their respective coefficients (Mathématiques coef 7, Physique coef 4, Français coef 3, Chimie coef 2, SVTEEHB coef 2, Informatique coef 2, Philosophie coef 2, Histoire-Géo coef 2, Anglais coef 2, EPS coef 2). Candidates scoring between 8.00/20 and 9.99/20 may be considered during official jury deliberations based on their school record (livret scolaire).

Which higher education pathways are open to holders of the Baccalauréat C in Cameroon?

Baccalauréat C holders have priority access to the most selective higher education institutions in Cameroon and abroad. Major pathways include competitive entrance concours for the École Nationale Supérieure Polytechnique de Yaoundé (ENSPY) and Douala (ENSPD), the Faculty of Medicine and Biomedical Sciences (FMSB), the École Normale Supérieure (ENS), the National Advanced School of Posts and Telecommunications (SUP'PTIC), and top international engineering and scientific universities.

What is the structure and fee for registering for the Baccalauréat with the OBC?

The official registration fee set by the Office du Baccalauréat du Cameroun (OBC) is 13,000 FCFA for regular school candidates. Registration is handled through secondary schools (lycées and collèges) between October and December each academic year, requiring birth certificates, previous official examination transcripts (Probatoire C), and national fiscal stamps.

How does this English-language MCQ practice bank help prepare for the French-medium Baccalauréat C?

This practice bank translates and adapts the core mathematical, physical, chemical, biological, and epistemological competencies of the official Terminale C curriculum into rigorous, step-by-step multiple-choice questions. It allows students to master analytical derivations, calculation speed, and foundational scientific concepts that are universally applicable to the official OBC written examinations.

100+ Free Cameroon Baccalauréat Série C Practice Questions

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