100+ Free Bac E Cameroun Practice Questions

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2026 Statistics

Key Facts: Bac E Cameroun Exam

Coefficient 6

Mathématiques weight, the single highest coefficient on the Bac E exam

Office du Baccalauréat du Cameroun (OBC)

10.00 / 20

Minimum weighted average required for direct graduation with the Baccalauréat

OBC Examination Regulations

13,000 FCFA

Official national registration fee for technical baccalaureate series

OBC Fee Schedule

ENSPY / ENSPD

Primary polytechnic engineering destination institutions for Série E laureates

MINESEC / MINESUP Cameroun

Free 100-question English MCQ study adaptation for the Cameroon Baccalauréat Série E (Mathématiques et Techniques) administered by the Office du Baccalauréat du Cameroun (OBC). Covers high-level calculus, mechanics, physics, and technical engineering.

Sample Bac E Cameroun Practice Questions

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

1What is the limit of the function f(x) = (e^(3x) − 1) / x as x approaches 0?

A.0

B.1

C.3

D.+∞

Explanation: Using the fundamental standard limit lim(u→0) (e^u − 1)/u = 1 with u = 3x, we rewrite (e^(3x) − 1)/x = 3 · (e^(3x) − 1)/(3x). As x → 0, 3x → 0, so the limit is 3 · 1 = 3 (or alternatively by L'Hôpital's rule: lim 3e^(3x)/1 = 3).

2What is the derivative of the real function f(x) = ln(x² + 4) with respect to x?

A.1 / (x² + 4)

B.2x / (x² + 4)

C.x / (x² + 4)

D.2x ln(x² + 4)

Explanation: By the chain rule for logarithmic functions, the derivative of ln(u(x)) is u'(x) / u(x). Here u(x) = x² + 4 and u'(x) = 2x, so f'(x) = 2x / (x² + 4).

3Given the complex number z = (1 − i√3) / (1 + i), what is its modulus |z| and principal argument arg(z)?

A.|z| = √2, arg(z) = −7π/12

B.|z| = 2, arg(z) = −π/12

C.|z| = √2, arg(z) = 5π/12

D.|z| = 1, arg(z) = −π/3

Explanation: For the numerator z1 = 1 − i√3: |z1| = √(1 + 3) = 2 and arg(z1) = −π/3. For the denominator z2 = 1 + i: |z2| = √(1 + 1) = √2 and arg(z2) = π/4. Therefore, |z| = |z1| / |z2| = 2 / √2 = √2, and arg(z) = arg(z1) − arg(z2) = −π/3 − π/4 = −7π/12.

4What are the complex roots of the quadratic equation z² − 2z + 4 = 0 in the set ℂ?

A.z = 1 ± i√3

B.z = −1 ± i√3

C.z = 2 ± 2i√3

D.z = 1 ± 3i

Explanation: The discriminant is Δ = (−2)² − 4(1)(4) = 4 − 16 = −12 = (i 2√3)². The roots are z = (2 ± 2i√3) / 2 = 1 ± i√3.

5What is the particular solution to the first-order differential equation y' + 2y = 4e^(−x) satisfying the initial condition y(0) = 1?

A.y(x) = 4e^(−x) − 3e^(−2x)

B.y(x) = 2e^(−x) − e^(−2x)

C.y(x) = 4e^(−2x) − 3e^(−x)

D.y(x) = e^(−x)

Explanation: The general solution to the homogeneous equation y' + 2y = 0 is y_h = C e^(−2x). A particular solution of the form y_p = A e^(−x) gives −A e^(−x) + 2A e^(−x) = A e^(−x) = 4 e^(−x), so A = 4. Thus y(x) = 4 e^(−x) + C e^(−2x). Applying y(0) = 4(1) + C = 1 gives C = −3, resulting in y(x) = 4 e^(−x) − 3 e^(−2x).

6What is the solution to the second-order differential equation y'' + 4y = 0 satisfying the initial conditions y(0) = 2 and y'(0) = 6?

A.y(x) = 2 cos(2x) + 3 sin(2x)

B.y(x) = 2 cos(4x) + 6 sin(4x)

C.y(x) = 2 e^(2x) + 3 e^(−2x)

D.y(x) = 3 cos(2x) + 2 sin(2x)

Explanation: The characteristic equation r² + 4 = 0 has roots r = ±2i, so the general solution is y(x) = A cos(2x) + B sin(2x). Using y(0) = A = 2, and y'(x) = −2A sin(2x) + 2B cos(2x), y'(0) = 2B = 6 gives B = 3. Therefore, y(x) = 2 cos(2x) + 3 sin(2x).

7Evaluate the definite integral I = ∫[0 to 1] x · e^(2x) dx using integration by parts.

A.(e² + 1) / 4

B.(3e² − 1) / 4

C.e² / 2

D.(e² − 1) / 2

Explanation: Let u = x (so du = dx) and dv = e^(2x) dx (so v = (1/2) e^(2x)). Using ∫ u dv = u v − ∫ v du: I = [ (x/2) e^(2x) ][0 to 1] − ∫[0 to 1] (1/2) e^(2x) dx = (1/2) e² − 0 − [ (1/4) e^(2x) ][0 to 1] = (1/2) e² − (1/4) e² + 1/4 = (1/4) e² + 1/4 = (e² + 1) / 4.

8What is the value of the definite integral I = ∫[0 to π/4] tan(x) dx?

A.ln(√2)

B.ln(2)

C.1 / 2

D.√2 / 2

9What is the general antiderivative (primitive) of f(x) = 1 / (x² + 9) on ℝ?

A.(1/3) arctan(x/3) + C

B.arctan(x/3) + C

C.(1/9) arctan(x) + C

D.ln(x² + 9) + C

Explanation: Using the standard primitive formula ∫ dx / (x² + a²) = (1/a) arctan(x/a) + C with a = 3, we obtain F(x) = (1/3) arctan(x/3) + C.

10What is the sum S_6 of the first 6 terms of the geometric sequence with first term u_1 = 3 and common ratio q = 2?

A.189

B.192

C.93

D.381

Explanation: The sum of the first n terms of a geometric sequence is S_n = u_1 · (1 − q^n) / (1 − q). For n = 6: S_6 = 3 · (1 − 2^6) / (1 − 2) = 3 · (1 − 64) / (−1) = 3 · 63 = 189.

About the Bac E Cameroun Exam

The Baccalauréat Série E (Mathématiques et Techniques) is Cameroon's prestigious elite technical-scientific secondary school diploma, administered annually by the Office du Baccalauréat du Cameroun (OBC) under the authority of the Ministère des Enseignements Secondaires (MINESEC). Taught in specialized technical high schools (Lycées Techniques) and polyvalent institutions across Cameroon (such as Lycée Technique de Yaoundé, Lycée Technique de Koumassi à Douala, and Lycée Technique de Bafoussam), Série E combines the rigorous theoretical mathematical foundations of Série C with comprehensive applied engineering sciences (strength of materials, mechanical kinematics and dynamics, industrial drawing conventions, electrical machines, and AC circuits). Graduates of Série E are prime candidates for entrance into Cameroon's premier engineering faculties, including the École Nationale Supérieure Polytechnique de Yaoundé (ENSPY), École Nationale Supérieure Polytechnique de Douala (ENSPD), École Nationale Supérieure Polytechnique de Maroua (ENSPM), and the University Institutes of Technology (IUT). This question bank provides 100 English-language practice questions designed to reinforce core mathematical, physical, and technological problem-solving skills. 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 examination defined by Arrêté n° 94/22/MINESEC of 17 March 2022. 1er groupe: Mathématiques (4h, coef 6), Physique (3h, coef 3), Chimie (3h, coef 2), Dessin et Technologie des Systèmes Mécaniques (6h, coef 6) and Fabrication des Éléments Mécaniques (4h, coef 4). 2ème groupe: Littérature ou Culture Générale (3h, coef 2), Langue Française (2h, coef 1), Anglais (2h, coef 3), Informatique (2h, coef 2), Éducation à la Citoyenneté et à la Morale (1h, coef 1), Philosophie (2h, coef 2) and EPS théorique (2h, coef 2). Série E additionally sits compulsory épreuves pratiques, held 21–23 May 2026, which is why it is the only general-education Baccalauréat series charged a participation matière d'œuvre.

Time Limit

Practical papers 21–23 May 2026; written papers 25–26 and 28–30 May 2026, totalling roughly 34 hours

Passing Score

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

Exam Fee

21,000 FCFA (13,000 FCFA registration + 8,000 FCFA participation matière d'œuvre) (Office du Baccalauréat du Cameroun (OBC))

Bac E Cameroun Exam Content Outline

Coefficient 6 (~25%)

Mathématiques

Differential and integral calculus, differential equations, complex numbers, planar and spatial vector geometry, matrix systems, and probability.

Coefficient 5 (~21%)

Mécanique Appliquée & Construction Mécanique

Rigid body statics, planar kinematics, rotational dynamics, strength of materials (RDM), stress-strain relations, beam bending, torsion, and power transmission mechanisms.

Coefficient 4 (~17%)

Physique-Chimie & Électrotechnique

Thermodynamics, electromagnetic induction, RLC alternating current circuits, electrical transformers, DC machines, and three-phase induction motors.

Coefficient 2 (~8%)

Français

Literary analysis, structured argumentative essay writing, text comprehension, and linguistic mastery.

Coefficient 2 (~8%)

Philosophie

Epistemology, philosophy of science and technics, ethics of artificial systems, and human freedom in the technological era.

Coefficient 2–3 (~12%)

Langue Vivante II / Anglais & Éducation Civique

Technical English vocabulary, reading comprehension of engineering documentation, and civic responsibility.

How to Pass the Bac E Cameroun 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 examination defined by Arrêté n° 94/22/MINESEC of 17 March 2022. 1er groupe: Mathématiques (4h, coef 6), Physique (3h, coef 3), Chimie (3h, coef 2), Dessin et Technologie des Systèmes Mécaniques (6h, coef 6) and Fabrication des Éléments Mécaniques (4h, coef 4). 2ème groupe: Littérature ou Culture Générale (3h, coef 2), Langue Française (2h, coef 1), Anglais (2h, coef 3), Informatique (2h, coef 2), Éducation à la Citoyenneté et à la Morale (1h, coef 1), Philosophie (2h, coef 2) and EPS théorique (2h, coef 2). Série E additionally sits compulsory épreuves pratiques, held 21–23 May 2026, which is why it is the only general-education Baccalauréat series charged a participation matière d'œuvre.
Time limit: Practical papers 21–23 May 2026; written papers 25–26 and 28–30 May 2026, totalling roughly 34 hours
Exam fee: 21,000 FCFA (13,000 FCFA registration + 8,000 FCFA participation matière d'œuvre)

Keys to Passing

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Bac E Cameroun Study Tips from Top Performers

1Master step-by-step analytical calculus, including integration by parts, first and second-order differential equations, and complex transformations in the Argand plane.

2Thoroughly drill Strength of Materials (RDM) formulas: direct normal and shear stresses, bending moment diagrams, section modulus calculations, and torsion angles in circular shafts.

3Keep AC circuit formulas sharp, particularly RLC resonant frequency, power factor (cos φ), active versus reactive power, and three-phase balanced load relations.

4Review gear train kinematics, including planetary epicyclic gear ratios, module dimensions, pitch diameters, and mechanical efficiency formulas.

5Review philosophical themes concerning modern technology (Heidegger, Simondon, Jonas) and practice constructing balanced, structured dissertations.

Frequently Asked Questions

What is the Cameroon Baccalauréat Série E?

Série E is Cameroon's mathematics and industrial technology baccalaureate stream. It blends high-level mathematical analysis with applied mechanics, resistance of materials (RDM), industrial design, and electrotechnics, serving as the main feeder track for Cameroon's national polytechnic engineering schools (ENSPY, ENSPD, ENSPM).

How is the official Cameroon Bac E administered?

The official examination is administered in French by the Office du Baccalauréat du Cameroun (OBC) as a multi-day series of written papers, design tasks, and technical calculation problems. This online practice bank provides an English-language MCQ adaptation for self-paced study and mastery of underlying engineering concepts.

What is the passing threshold for the Cameroon Bac E?

The examination is evaluated on a 0 to 20 scale. A candidate passes directly if their general weighted average (moyenne générale) is at least 10.00/20. Candidates achieving an average between 8.00/20 and 9.99/20 are eligible for oral catch-up exams (épreuves orales de rattrapage / rachat).

Which subjects carry the highest coefficients in Série E?

Mathématiques carries the highest weight at Coefficient 6, followed closely by Mécanique Appliquée / Construction Mécanique at Coefficient 5 and Physique-Chimie / Électrotechnique at Coefficient 4. Together, these three engineering science subjects account for over 60% of the total exam weight.

100+ Free Bac E Cameroun Practice Questions

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