Free Practice Questions for Bac C Niger

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Key Facts: Bac C Niger Exam

Coefficient 6

Mathematics (4 h) and Physical Sciences (3 h) each carry coefficient 6 in Série C

OBEECS 2025 Baccalauréat paper headers

89,158

Candidates registered for the 2026 Baccalauréat session across 41 series and filières

Ministère de l'Enseignement Supérieur, reported by ActuNiger and Le Sahel (July 2026)

14 July 2026

Start of the written papers of the 2026 Baccalauréat session

Ministère de l'Enseignement Supérieur, reported by ActuNiger

Written second group

OBEECS publishes written second-group papers (2 to 3 h 30) for candidates not admitted after the first group

OBEECS Banque de sujets (2025)

Free independent practice for Niger's Baccalauréat Série C (OBEECS): English-language MCQs on arithmetic, complex numbers, functions, mechanics, electromagnetism, acid–base chemistry, geology, reproduction, philosophy, French and English. The official exam is a set of written papers in French, so use this bank alongside past OBEECS papers.

Sample Bac C Niger Practice Questions

Try these sample questions to review concepts for the Bac C Niger exam. 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 f(x) = sin(4x) / (e^(2x) - 1) as x approaches 0?

A.4

B.0

C.2

D.1/2

Explanation: As x approaches 0, the fundamental limits give sin(4x)/x -> 4 and (e^(2x) - 1)/x -> 2. Dividing these two expressions yields lim (sin(4x))/(e^(2x) - 1) = 4/2 = 2. Alternatively, applying L'Hôpital's rule gives lim 4 cos(4x) / (2 e^(2x)) = 4/2 = 2.

2Evaluate the limit: lim_(x -> +∞) (sqrt(4x² + 6x) - 2x).

A.3

B.0

C.3/2

D.+∞

Explanation: Multiplying and dividing by the conjugate sqrt(4x² + 6x) + 2x yields 6x / (sqrt(4x² + 6x) + 2x). Factoring x from the denominator gives 6 / (sqrt(4 + 6/x) + 2). As x -> +∞, 6/x -> 0, resulting in 6 / (2 + 2) = 6/4 = 3/2.

3Let f(x) = x² * ln(x) for x > 0. What is the value of the second derivative f''(e)?

A.3

B.5

C.2e + 1

D.2 + 1/e

Explanation: The first derivative using the product rule is f'(x) = 2x ln(x) + x²(1/x) = 2x ln(x) + x. Differentiating again yields f''(x) = 2 ln(x) + 2x(1/x) + 1 = 2 ln(x) + 3. Evaluating at x = e gives f''(e) = 2 ln(e) + 3 = 2(1) + 3 = 5.

4In arithmetic modulo 5, what is the remainder of the Euclidean division of 7^2026 by 5?

A.2

B.4

C.3

D.1

Explanation: Since 7 ≡ 2 (mod 5), 7^2026 ≡ 2^2026 (mod 5). The powers of 2 modulo 5 repeat with period 4: 2, 4, 3, 1. As 2026 = 4 × 506 + 2, 2^2026 ≡ 2^2 = 4 (mod 5), so the remainder is 4.

5Solve the inequality on ℝ: e^(2x) - 5e^x + 6 ≤ 0.

A.]0, ln(6)]

B.[ln(2), ln(3)]

C.]−∞, ln(2)]

D.[ln(3), +∞[

Explanation: Letting X = e^x > 0, the equation X² - 5X + 6 ≤ 0 factors into (X - 2)(X - 3) ≤ 0, which holds for 2 ≤ X ≤ 3. Applying the natural logarithm gives ln(2) ≤ x ≤ ln(3), which defines the closed interval [ln(2), ln(3)].

6What is the general solution on ℝ to the differential equation y' + 3y = 6?

A.y(x) = C e^(3x) + 2

B.y(x) = C e^(-3x) - 2

C.y(x) = C e^(-3x) + 2

D.y(x) = C e^(3x) - 6

Explanation: The homogeneous equation y' + 3y = 0 has characteristic equation r + 3 = 0, giving r = -3 and y_h(x) = C e^(-3x). A constant particular solution y_p satisfies 3 y_p = 6, so y_p = 2. The general solution is y(x) = C e^(-3x) + 2 for C in ℝ.

7Find the unique solution to y'' + 9y = 0 satisfying the initial conditions y(0) = 4 and y'(0) = 6.

A.y(x) = 4 cos(9x) + 2 sin(9x)

B.y(x) = 2 cos(3x) + 4 sin(3x)

C.y(x) = 4 cos(3x) + 6 sin(3x)

D.y(x) = 4 cos(3x) + 2 sin(3x)

Explanation: The characteristic equation r² + 9 = 0 gives r = ±3i, so y(x) = A cos(3x) + B sin(3x). The condition y(0) = 4 yields A = 4. Differentiating gives y'(x) = -3A sin(3x) + 3B cos(3x); setting y'(0) = 6 yields 3B = 6, hence B = 2. Thus y(x) = 4 cos(3x) + 2 sin(3x).

8Evaluate the definite integral: I = ∫[0 to 1] (2x + 1) / (x² + x + 1) dx.

A.ln(2)

B.ln(4)

C.1/3

D.ln(3)

Explanation: Notice that the numerator 2x + 1 is the exact derivative of the denominator x² + x + 1. Substituting u = x² + x + 1 gives du = (2x + 1) dx. The bounds transform from x = 0 to u = 1, and x = 1 to u = 3. Therefore, I = ∫[1 to 3] (1/u) du = [ln(u)]_1^3 = ln(3) - ln(1) = ln(3).

9Evaluate the integral using integration by parts: J = ∫[0 to π] x * sin(x) dx.

A.-π

B.2π

C.0

D.π

Explanation: Let u = x and dv = sin(x) dx, so du = dx and v = -cos(x). Using integration by parts: J = [-x cos(x)]_0^π - ∫[0 to π] (-cos(x)) dx = [-x cos(x)]_0^π + [sin(x)]_0^π. Evaluating the bounds: -π cos(π) - (-0) + sin(π) - sin(0) = -π(-1) + 0 = π.

10Decompose into partial fractions and evaluate: K = ∫[2 to 3] 1 / (x² - 1) dx.

A.(1/2) ln(3)

B.(1/2) ln(2/3)

C.ln(3/2)

D.(1/2) ln(3/2)

Explanation: The partial fraction decomposition is 1/(x² - 1) = (1/2) [1/(x - 1) - 1/(x + 1)]. The antiderivative is (1/2) ln|(x - 1)/(x + 1)|. Evaluating between 2 and 3 gives (1/2) [ln(2/4) - ln(1/3)] = (1/2) [ln(1/2) - ln(1/3)] = (1/2) ln((1/2)/(1/3)) = (1/2) ln(3/2).

About the Bac C Niger Exam

Série C is Niger's mathematics and physical-sciences baccalauréat, organized nationally by OBEECS. This independent practice bank offers English-language multiple-choice questions on the Terminale C programme in mathematics, physics, chemistry, SVT, philosophy, French and English. It is a study adaptation, not an official translation or a simulation of the written papers.

Exam sponsor: Office du Baccalauréat, des Équivalences et des Examens et Concours du Supérieur (OBEECS). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

First-group written papers on the OBEECS 2025 paper headers: Mathematics (coeff. 6, 4 h, shared with series E), Physical Sciences (coeff. 6, 3 h), SVT (coeff. 2, 3 h), French (coeff. 3, 4 h), Philosophy (coeff. 2, 4 h, also set in Arabic), English (coeff. 2, 3 h) and Arabic (coeff. 2, 3 h); a Dessin-Couture paper (coeff. 1, 2 h) also appears in the paper bank. Candidates who are not admitted after the first group may sit a second group of written papers (in 2025, for example, Mathematics in 2 h and History-Geography in 3 h 30).

Time Limit

Written papers of 3 to 4 hours each over several days; second-group papers of 2 to 3 h 30

Passing Score

Marked out of 20 on a coefficient-weighted average; the admission and second-group thresholds are not published on OBEECS's public pages

Exam / Certification Fees

Not published on OBEECS's public pages; fees are set for each session and paid during online pre-registration (officebacniger.com)

Exam sponsor website

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

Official sources

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.

30% of this local bank (30 questions)

Mathematics

Arithmetic (congruences, PGCD), complex numbers and similitudes, sequences, logarithm and exponential functions, integrals, differential equations, barycentres, conics, space geometry and probability

25% of this local bank (25 questions)

Physics

Kinematics and Newton's laws, gravitation and satellites, charged particles in fields, oscillators, waves and Young interference, Lorentz and Laplace forces, induction, LC and RLC circuits, photoelectric effect and nuclear reactions

15% of this local bank (15 questions)

Chemistry

Aqueous solutions, pH, acid–base couples and titrations, buffers, alcohols, carboxylic acids, esters and acyl chlorides, and chemical kinetics

10% of this local bank (10 questions)

Life and Earth Sciences (SVT)

Weathering, sedimentation, metamorphism and magmatism, Niger's geological resources (including petroleum), human reproduction and its hormonal regulation, and birth control

20% of this local bank (20 questions)

Philosophy, French and English

Philosophy notions and authors of the Terminale programme (8), French dissertation and contraction-de-texte skills (7), and English grammar and reading (5)

Preparing for the Bac C Niger Exam

What You Need to Know

Passing score: Marked out of 20 on a coefficient-weighted average; the admission and second-group thresholds are not published on OBEECS's public pages
Assessment: First-group written papers on the OBEECS 2025 paper headers: Mathematics (coeff. 6, 4 h, shared with series E), Physical Sciences (coeff. 6, 3 h), SVT (coeff. 2, 3 h), French (coeff. 3, 4 h), Philosophy (coeff. 2, 4 h, also set in Arabic), English (coeff. 2, 3 h) and Arabic (coeff. 2, 3 h); a Dessin-Couture paper (coeff. 1, 2 h) also appears in the paper bank. Candidates who are not admitted after the first group may sit a second group of written papers (in 2025, for example, Mathematics in 2 h and History-Geography in 3 h 30).
Time limit: Written papers of 3 to 4 hours each over several days; second-group papers of 2 to 3 h 30
Exam / certification fees: Not published on OBEECS's public pages; fees are set for each session and paid during online pre-registration (officebacniger.com) Official sources

Using Our Practice Resources

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Bac C Niger: Suggested Study Strategy

1Work through recent OBEECS Série C papers from the official paper bank under timed conditions (4 hours for mathematics, 3 hours for physical sciences).

2Prioritize mathematics and physical sciences, which each carry coefficient 6.

3Revise the Terminale C arithmetic chapter (congruences, Euclid's algorithm, Bézout and Gauss), a full programme topic that is easy to overlook.

4In physics, practise full calculations with units: projectiles, satellites, charged particles, LC and RLC circuits and radioactive decay.

5Do not neglect French (coefficient 3): practise the contraction de texte and dissertation methods regularly.

Frequently Asked Questions

Is the Niger Bac C a multiple-choice exam?

No. The OBEECS Série C papers are written problems, exercises and essays in French. This bank is an independent English-language MCQ study adaptation: it helps you revise concepts and calculations, but it is not an official translation and does not reproduce the written format.

Which papers carry the most weight in Série C?

On the OBEECS 2025 paper headers, Mathematics and Physical Sciences each carry coefficient 6, French coefficient 3, and SVT, Philosophy, English and Arabic coefficient 2 each, so mathematics and physical sciences dominate the weighted average.

Is there an oral rattrapage?

The OBEECS paper bank publishes second-group (second groupe) papers that are written, for example a 2-hour Mathematics paper and a 3 h 30 History-Geography paper in 2025. OBEECS's public pages do not publish the exact averages required for admission or for the second group.

Are Franco-Arabic Série C candidates covered?

Yes. OBEECS lists Série C Franco-Arabe as a registration option, and its paper bank shows those candidates taking the Série C mathematics and science papers, with Philosophy and Arabic papers set in Arabic. This bank covers the shared Série C programme.

Free Practice Questions for Bac C Niger

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