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EMIG Concours d'entrée — Cycle d'Ingénieur Grade Master (Niger)

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Key Facts: EMIG Concours Technicien Exam

Coefficient 4

Weight of the 4-hour Mathematics paper in the EMIG Cycle Technicien entrance competition

EMIG 2026 Licence concours notice (emig-niger.org)

Coefficient 3

Weight of the 3-hour Physique-Chimie or Technologies paper, chosen by the candidate

EMIG 2026 Licence concours notice (emig-niger.org)

10,000 FCFA

Non-refundable application fee for the EMIG Cycle Technicien entrance competition

EMIG 2026 Licence concours notice (emig-niger.org)

7 hours

Total duration of the two written papers sat on a single day

EMIG 2026 Licence concours notice (emig-niger.org)

Free independent practice for EMIG Niamey's Cycle de Technicien Grade Licence entrance competition: English-language MCQs on the Mathematics paper (analysis, complex numbers, sequences, probability, conics, differential equations) and on Physique-Chimie or Technologies topics such as mechanics, electricity, aqueous and redox chemistry, transmissions, and technical drawing.

Sample EMIG Concours Technicien Practice Questions

Try these sample questions to review concepts for the EMIG Concours Technicien 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 the rational function f(x) = (x^2 - 4) / (x - 2) as x approaches 2?

A.0

B.2

C.4

D.Does not exist

Explanation: Factoring the numerator gives (x - 2)(x + 2). For x != 2, the term (x - 2) cancels, leaving x + 2. Evaluating at x = 2 yields 2 + 2 = 4.

2In the complex plane, the point M has affix z = 5 - 12i. What is the distance OM from the origin, that is, the modulus |z|?

A.7

B.17

C.169

D.13

Explanation: The modulus of a complex number z = a + bi is |z| = sqrt(a^2 + b^2). Here |z| = sqrt(5^2 + (-12)^2) = sqrt(25 + 144) = sqrt(169) = 13. Geometrically, it is the distance from the origin to the point (5, -12) in the complex plane.

3What is the first derivative of f(x) = ln(3x^2 + 1) with respect to x?

A.1 / (3x^2 + 1)

B.6x / (3x^2 + 1)

C.6x * ln(3x^2 + 1)

D.3x / (3x^2 + 1)

Explanation: Applying the chain rule for logarithmic functions, d/dx[ln(u(x))] = u'(x) / u(x). Here u(x) = 3x^2 + 1 and u'(x) = 6x, so f'(x) = 6x / (3x^2 + 1).

4What is the value of the definite integral of (3x^2 - 2x + 1) from x = 0 to x = 2?

A.4

B.14

C.22

D.6

Explanation: An antiderivative of 3x^2 - 2x + 1 is F(x) = x^3 - x^2 + x. Evaluating from 0 to 2 gives F(2) - F(0) = (8 - 4 + 2) - 0 = 6.

5What are the solutions in C of the quadratic equation z^2 - 6z + 13 = 0?

A.z = -3 + 2i and z = -3 - 2i

B.z = 6 + 4i and z = 6 - 4i

C.z = 3 + 4i and z = 3 - 4i

D.z = 3 + 2i and z = 3 - 2i

Explanation: The discriminant is Delta = (-6)^2 - 4(1)(13) = 36 - 52 = -16 = (4i)^2. Thus z = (6 +- 4i) / 2 = 3 +- 2i. Check: the sum of the roots is 6 and their product is 9 + 4 = 13, matching the coefficients.

6Given vectors u = (2, -1, 3) and v = (1, 4, 2) in R^3, what is their dot product u . v?

A.0

B.4

C.8

D.12

Explanation: The dot product is computed as u . v = (2)(1) + (-1)(4) + (3)(2) = 2 - 4 + 6 = 4.

7What is the principal argument Arg(z) in (-pi, pi] of the complex number z = -1 + i*sqrt(3)?

A.pi / 3

B.2*pi / 3

C.4*pi / 3

D.-pi / 3

Explanation: The modulus is |z| = sqrt((-1)^2 + (sqrt(3))^2) = sqrt(1 + 3) = 2. Writing z = 2*(-1/2 + i*sqrt(3)/2), we recognize cos(theta) = -1/2 and sin(theta) = sqrt(3)/2. This places theta in the second quadrant, giving theta = 2*pi / 3.

8What is the solution to the differential equation y' + 2y = 0 satisfying the initial condition y(0) = 5?

A.y(x) = 5 * e^(2x)

B.y(x) = 5 * e^(-2x)

C.y(x) = 2 * e^(-5x)

D.y(x) = e^(-2x) + 4

Explanation: The general solution of y' + a*y = 0 is y(x) = C * e^(-ax). With a = 2, y(x) = C * e^(-2x). Applying y(0) = 5 yields C = 5, so y(x) = 5 * e^(-2x).

9A geometric sequence (u_n) has initial term u_0 = 3 and common ratio q = 2. What is the value of u_5?

A.30

B.48

C.96

D.192

Explanation: The general term of a geometric sequence is u_n = u_0 * q^n. For n = 5, u_5 = 3 * 2^5 = 3 * 32 = 96.

10What is the derivative of the rational function f(x) = (2x + 1) / (x - 3) for x != 3?

A.-7 / (x - 3)^2

B.7 / (x - 3)^2

C.-5 / (x - 3)^2

D.2 / (x - 3)^2

Explanation: Using the quotient rule (u/v)' = (u'v - uv') / v^2 with u = 2x + 1 and v = x - 3: f'(x) = [2(x - 3) - (2x + 1)(1)] / (x - 3)^2 = (2x - 6 - 2x - 1) / (x - 3)^2 = -7 / (x - 3)^2.

About the EMIG Concours Technicien Exam

The Cycle de Technicien Grade Licence at EMIG Niamey offers ten Licence options, from software engineering and industrial automation to renewable energy, civil works, geotechnics, water, and mining environment. Entry is by a written competition: Mathematics plus either Physique-Chimie or Technologies. This independent bank gives English-language MCQ practice on those subjects; it is a study adaptation, not an official translation or format simulation.

Exam sponsor: École des Mines, de l'Industrie et de la Géologie (EMIG), Niamey. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Both papers are sat at EMIG in Niamey on 28 August 2026: Mathematics for all series, 08:00–12:00 (4 hours, coefficient 4), then Physique-Chimie or Technologies at the candidate's choice, 15:00–18:00 (3 hours, coefficient 3). Candidates are called 30 minutes before each paper and must bring identification. Licence options: Informatique Génie Logiciel, Automatique et Informatique Industrielle, Énergies Renouvelables, Électromécanique, Mécanique Engins TP, Électrotechnique, Bâtiment et Travaux Publics, Prospection et Géotechnique, Eau et Environnement, and Environnement Minier.

Time Limit

7 hours of written papers in one day (4 h Mathematics + 3 h Physique-Chimie or Technologies)

Passing Score

No fixed pass mark is published; the August 2026 Licence results list admitted candidates in order of merit by a coefficient-weighted average (Mathematics x4, second paper x3)

Exam / Certification Fees

10,000 FCFA non-refundable application fee

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.

45% of this local bank (45 questions)

Mathematics

Limits, derivatives and function analysis, logarithms and exponentials, integrals, complex numbers, sequences, probability, conics and barycentres, vectors in space, and linear differential equations

19% of this local bank (19 questions)

Physics: Mechanics, Waves, and Electricity

Kinematics and dynamics, energy and momentum, oscillations, waves and optics, electrostatics, magnetism and induction, circuits, and fluid pressure

16% of this local bank (16 questions)

Chemistry

Acid-base equilibria and pH, titrations and buffers, oxidation numbers and redox, electrochemistry and corrosion, solubility, kinetics, and organic functional groups

20% of this local bank (20 questions)

Industrial Technology and Engineering Science

Technical drawing and projection, kinematic joints, gear, belt, and screw transmissions, power and efficiency, ISO fits and metrology, strength of materials, electrical protection, motors, and PLC basics

Preparing for the EMIG Concours Technicien Exam

What You Need to Know

Passing score: No fixed pass mark is published; the August 2026 Licence results list admitted candidates in order of merit by a coefficient-weighted average (Mathematics x4, second paper x3)
Assessment: Both papers are sat at EMIG in Niamey on 28 August 2026: Mathematics for all series, 08:00–12:00 (4 hours, coefficient 4), then Physique-Chimie or Technologies at the candidate's choice, 15:00–18:00 (3 hours, coefficient 3). Candidates are called 30 minutes before each paper and must bring identification. Licence options: Informatique Génie Logiciel, Automatique et Informatique Industrielle, Énergies Renouvelables, Électromécanique, Mécanique Engins TP, Électrotechnique, Bâtiment et Travaux Publics, Prospection et Géotechnique, Eau et Environnement, and Environnement Minier.
Time limit: 7 hours of written papers in one day (4 h Mathematics + 3 h Physique-Chimie or Technologies)
Exam / certification fees: 10,000 FCFA non-refundable application fee Official sources

Using Our Practice Resources

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EMIG Concours Technicien: Suggested Study Strategy

1Give Mathematics the most time: it carries coefficient 4 out of 7 for every candidate. Practise integration by parts, logarithmic and exponential equations, complex numbers, sequences, and probability.

2Consolidate Newtonian mechanics: projectile motion, inclined planes with friction, momentum conservation, and work-energy calculations.

3Review electricity: Joule heating, RC time constants, electromagnetic induction, and RLC resonance.

4Master chemistry calculations: pH of strong and weak acids, titration and buffer problems, oxidation numbers, and redox balancing with half-reactions.

5If you will take Technologies, revise mechanisms and drawing: gear and belt ratios, P = C * omega, transmission efficiency, ISO fits, and first-angle projection conventions.

Frequently Asked Questions

Is the EMIG Cycle Technicien concours a multiple-choice exam?

EMIG's 2026 notice lists two timed written papers with their durations and coefficients; it does not describe a multiple-choice format or publish an item count. This bank is an independent English-language MCQ study adaptation for practising the underlying knowledge and calculations. It does not simulate the written papers or their French-language setting.

Which papers and coefficients make up the Technicien competition?

Two written papers on 28 August 2026: Mathematics for all candidates (4 hours, coefficient 4), then Physique-Chimie or Technologies at the candidate's choice (3 hours, coefficient 3). Mathematics therefore carries 4 of the 7 coefficient points for every candidate.

Who is eligible for the Cycle de Technicien Grade Licence competition?

The 2026 notice opens the competition to holders of a Baccalauréat in a scientific series (C, D, E), a technical series (F1 to F4), or a professional series such as electricity, energy, mechanics, computing, mines, water, or civil engineering, or any diploma judged equivalent. Applications were filed at EMIG from 6 to 20 August 2026 with a non-refundable 10,000 FCFA fee.