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Key Facts: Bac E Niger Exam

Coefficient 6

Série E's Mathematics paper (4 h) is shared with Série C and carries coefficient 6

OBEECS 2025 Baccalauréat paper headers

Coefficient 5

Construction mécanique (4 h) carries coefficient 5 in Série E

OBEECS 2024 Baccalauréat paper header

3 h 30

Duration of the Série E workshop practical (Technique pratique, part 2)

OBEECS 2024 Baccalauréat paper header

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)

Free independent practice for Niger's Baccalauréat Série E (OBEECS): English-language MCQs on the shared C/E mathematics and physical-science programme, mechanical construction (joints, fits, gears, bearings, drawing), strength of materials, manufacturing analysis and French and English. Practical workshop skills must still be trained at the machine.

Sample Bac E Niger Practice Questions

Try these sample questions to review concepts for the Bac E 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 value of the limit lim_{x -> 0} (sin(3x)) / (2x)?

A.3

B.0

C.2/3

D.3/2

Explanation: Using the standard trigonometric limit lim_{u -> 0} (sin u)/u = 1 with u = 3x, we can rewrite the expression as (3/2) * (sin(3x) / (3x)). Taking the limit as x approaches 0 gives (3/2) * 1 = 3/2. Alternatively, applying L'Hôpital's rule gives lim_{x -> 0} 3 cos(3x) / 2 = 3(1)/2 = 3/2.

2Given the rational function f(x) = (3x² - 4) / (2x + 1), what is the value of its derivative f'(1)?

A.20/9

B.14/9

C.16/9

D.−20/9

Explanation: Applying the quotient rule f'(x) = [u'v - uv'] / v² with u(x) = 3x² - 4 and v(x) = 2x + 1, we have u'(x) = 6x and v'(x) = 2. At x = 1, u(1) = 3(1)² - 4 = -1, u'(1) = 6, v(1) = 2(1) + 1 = 3, and v'(1) = 2. Substituting these yields f'(1) = [6(3) - (-1)(2)] / 3² = (18 + 2) / 9 = 20/9.

3Using integration by parts, which expression represents the antiderivative ∫ x * e^(2x) dx?

A.(1/4) * e^(2x) * (2x - 1) + C

B.(1/2) * e^(2x) * (x - 1) + C

C.(1/2) * x * e^(2x) + C

D.(1/4) * e^(2x) * (2x + 1) + C

Explanation: Let u = x and dv = e^(2x) dx, so du = dx and v = (1/2)e^(2x). Integration by parts gives ∫ u dv = uv - ∫ v du = (1/2)x e^(2x) - (1/2) ∫ e^(2x) dx = (1/2)x e^(2x) - (1/4)e^(2x) + C. Factoring out (1/4)e^(2x) gives (1/4)e^(2x)(2x - 1) + C.

4Evaluate the definite integral I = ∫_0^1 3x² / (x³ + 1) dx.

A.3 ln(2)

B.3/2

C.ln(2)

D.ln(2)/3

Explanation: The numerator 3x² is exactly the derivative of u(x) = x³ + 1 > 0 on [0, 1], so an antiderivative is ln(x³ + 1). Therefore I = ln(1 + 1) − ln(0 + 1) = ln(2) − 0 = ln(2).

5Solve the initial value problem dy/dt + 2y = 6 with y(0) = 5. What is the value of y(ln 2)?

A.5.5

B.3.5

C.4.0

D.2.5

Explanation: The homogeneous equation dy/dt + 2y = 0 has general solution y_h(t) = C e^(-2t). A particular steady-state solution is y_p = 6/2 = 3. Thus the general solution is y(t) = 3 + C e^(-2t). Setting y(0) = 3 + C = 5 gives C = 2, so y(t) = 3 + 2 e^(-2t). Evaluating at t = ln 2 gives y(ln 2) = 3 + 2 e^(-2 ln 2) = 3 + 2(1/4) = 3 + 0.5 = 3.5.

6What is the general solution of the second-order linear differential equation y'' - 6y' + 9y = 0?

A.y(t) = (C1 + C2 * t) * e^(3t)

B.y(t) = C1 * cos(3t) + C2 * sin(3t)

C.y(t) = C1 * e^(3t) + C2 * e^(-3t)

D.y(t) = (C1 + C2 * t) * e^(-3t)

Explanation: The characteristic equation is r² - 6r + 9 = 0, which factors as (r - 3)² = 0, giving a repeated real root r = 3. For a repeated root r, the fundamental solutions are e^(rt) and t e^(rt). Therefore, the general solution is y(t) = (C1 + C2 * t) e^(3t).

7A mechanical harmonic oscillator satisfies the differential equation d²x/dt² + 4x = 0 with initial conditions x(0) = 2 m and dx/dt(0) = 6 m/s. What is the displacement x(π/4)?

A.-2 m

B.-3 m

C.3 m

D.2 m

Explanation: The characteristic roots are r = ±2i, giving the general solution x(t) = A cos(2t) + B sin(2t). From x(0) = 2, we find A = 2. Differentiating gives dx/dt = -2A sin(2t) + 2B cos(2t), and setting dx/dt(0) = 2B = 6 yields B = 3. Hence x(t) = 2 cos(2t) + 3 sin(2t). At t = π/4, 2t = π/2, so cos(π/2) = 0 and sin(π/2) = 1, giving x(π/4) = 2(0) + 3(1) = 3 m.

8A steel bar of diameter D = 40 mm is turned with a recommended cutting speed Vc = 25 m/min. Using Vc = π·D·N/1000 (D in mm, N in rev/min), what spindle speed N should be set?

A.About 625 rev/min

B.About 2000 rev/min

C.About 0.2 rev/min

D.About 200 rev/min

Explanation: N = 1000·Vc/(π·D) = 1000 × 25/(π × 40) = 25 000/125.7 ≈ 199 rev/min, so about 200 rev/min. On the machine one chooses the nearest available speed, usually the one just below.

9To position a prismatic part completely (isostatically) on a machine-tool fixture, how many normal contact points are needed, and how are they usually arranged?

A.Six points: three on a plane, two on a line, one stop (3-2-1)

B.Four points, one under each corner, to keep the part perfectly stable

C.Three points on the main face, which is enough to fix the part

D.Twelve points, two on each face, so that nothing can move

Explanation: A free solid has six degrees of freedom. An isostatic positioning removes each of them once with six normal points: three on a main support plane, two on a linear support and one end stop (the 3-2-1 arrangement). More points would make the positioning hyperstatic.

10Two vectors in R³ are given by u = (2, -1, 2) and v = (1, 2, 2). What is the angle θ between them?

A.arccos(4/9) ≈ 63.6°

B.π/2 rad (90°)

C.arccos(2/9) ≈ 77.2°

D.arccos(2/3) ≈ 48.2°

Explanation: The dot product is u · v = (2)(1) + (-1)(2) + (2)(2) = 2 - 2 + 4 = 4. The magnitudes are ||u|| = √(2² + (-1)² + 2²) = √(4 + 1 + 4) = √9 = 3, and ||v|| = √(1² + 2² + 2²) = √(1 + 4 + 4) = √9 = 3. Using u · v = ||u|| ||v|| cos θ gives cos θ = 4 / (3 * 3) = 4/9, so θ = arccos(4/9) ≈ 63.6°.

About the Bac E Niger Exam

Série E is Niger's 'mathematics and techniques' baccalauréat, organized by OBEECS and listed with the technical series on its pre-registration platform. It shares its mathematics and physical-science papers with Série C and adds mechanical construction and a workshop practical. This independent bank offers English-language MCQs on those areas; it cannot replace hands-on machining or the written technical studies.

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

OBEECS's pre-registration platform lists Série E under the Baccalauréat de l'enseignement technique, while its paper bank files the E papers with the general series. First-group papers on the 2024–2025 OBEECS headers: Mathematics (coeff. 6, 4 h, shared with Série C), Physical Sciences (coeff. 5, 3 h, shared with Série C), Construction mécanique (coeff. 5, 4 h: technological study, functional dimensioning and graphic study), Technique pratique part 1 – manufacturing analysis (coeff. 3, 30 min) and part 2 – workshop fabrication on a lathe or milling machine (coeff. 3, 3 h 30), French (coeff. 3, 4 h), English (coeff. 2, 3 h) and Arabic (coeff. 2). Candidates not admitted after the first group may sit a second group of written papers.

Time Limit

Papers of 30 minutes to 4 hours over several days, including the 3 h 30 workshop practical

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.

22% of this local bank (22 questions)

Mathematics

Limits, derivatives, integrals, differential equations, complex numbers and phasors, vectors, matrices and linear systems, and binomial probability

17% of this local bank (17 questions)

Physical Sciences

Mechanics, satellites, waves and interference, charged particles in fields, LC and RLC circuits, photoelectric effect, radioactivity, and acid–base and organic chemistry

23% of this local bank (23 questions)

Mechanical Construction

Kinematic joints, ISO fits and clearances, gears and belt drives, bearings, keys, technical drawing conventions, geometric tolerances and functional analysis

15% of this local bank (15 questions)

Applied Mechanics and Strength of Materials

Statics, friction, rotational dynamics, tension, shear, bending, torsion and safety factors

10% of this local bank (10 questions)

Materials and Fabrication

Cutting speed and spindle speed, isostatic positioning, process planning and datum surfaces, turning and milling, tool materials, steel and cast-iron designations, heat treatment and workshop safety

13% of this local bank (13 questions)

French and English

French grammar, text types and stylistics (6), and technical and general English (7)

Preparing for the Bac E 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: OBEECS's pre-registration platform lists Série E under the Baccalauréat de l'enseignement technique, while its paper bank files the E papers with the general series. First-group papers on the 2024–2025 OBEECS headers: Mathematics (coeff. 6, 4 h, shared with Série C), Physical Sciences (coeff. 5, 3 h, shared with Série C), Construction mécanique (coeff. 5, 4 h: technological study, functional dimensioning and graphic study), Technique pratique part 1 – manufacturing analysis (coeff. 3, 30 min) and part 2 – workshop fabrication on a lathe or milling machine (coeff. 3, 3 h 30), French (coeff. 3, 4 h), English (coeff. 2, 3 h) and Arabic (coeff. 2). Candidates not admitted after the first group may sit a second group of written papers.
Time limit: Papers of 30 minutes to 4 hours over several days, including the 3 h 30 workshop practical
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

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Bac E Niger: Suggested Study Strategy

1Practise OBEECS Construction mécanique papers: read the assembly drawing, then work through the technological study, functional dimensioning and graphic study.

2Revise ISO fits (H7/g6, H7/p6), bearing arrangements and seals, which come up in the graphic study.

3For the manufacturing analysis, practise choosing datum surfaces, ordering roughing and finishing operations and computing spindle speed from cutting speed.

4Use the shared C/E mathematics and physics papers from the OBEECS bank for timed practice.

5Train at the lathe and milling machine: the workshop practical cannot be prepared with MCQs alone.

Frequently Asked Questions

Is the Niger Bac E a multiple-choice exam?

No. Série E combines written papers in French, a mechanical-construction study on drawings and a workshop practical. This bank is an independent English-language MCQ study adaptation: it supports revision of concepts and calculations but cannot certify or replace drawing and machining skills.

Which papers does Série E share with Série C?

The OBEECS headers show the same Mathematics paper for series C and E (coefficient 6, 4 hours) and the same Physical Sciences paper (3 hours, coefficient 6 for C and 5 for E).

What happens in the Technique pratique paper?

In 2024 it had two parts: a 30-minute manufacturing analysis (drawing up a preliminary process plan for a part) and a 3 h 30 workshop task in which each candidate machined a part by turning or milling, the machine being allocated by drawing lots.

Free Practice Questions for Bac E Niger

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