Free Practice Questions for Élèves Officiers Pilotes Niger

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Sample Élèves Officiers Pilotes Niger Practice Questions

Try these sample questions to review concepts for the Élèves Officiers Pilotes 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 domain of definition of the real function f(x) = ln((2x + 6) / (4 - x))?

A.[-3, 4)

B.(-3, 4)

C.(-∞, -3) ∪ (4, +∞)

D.(-3, +∞)

Explanation: The natural logarithm ln(u) requires u > 0. The expression (2x + 6)/(4 - x) has roots at x = -3 (numerator) and x = 4 (denominator). A sign table shows the quotient is strictly positive when x is strictly between -3 and 4, giving the open interval (-3, 4).

2What is the derivative f'(x) of the function f(x) = (3x² - 5) e^(2x)?

A.6x e^(2x)

B.(6x - 10) e^(2x)

C.(3x² + 6x - 5) e^(2x)

D.(6x² + 6x - 10) e^(2x)

Explanation: Using the product rule (u · v)' = u'v + uv' with u = 3x² - 5 (u' = 6x) and v = e^(2x) (v' = 2e^(2x)): f'(x) = 6x e^(2x) + (3x² - 5)(2 e^(2x)) = [6x + 6x² - 10] e^(2x) = (6x² + 6x - 10) e^(2x).

3What is the limit of (e^(3x) - 1) / sin(2x) as x approaches 0?

A.3/2

B.2/3

C.1

D.0

Explanation: As x → 0, both numerator and denominator approach 0 (indeterminate form 0/0). Applying L'Hôpital's rule: the derivative of the numerator is 3e^(3x) and the derivative of the denominator is 2cos(2x). Evaluating at x = 0 yields (3 · 1) / (2 · 1) = 3/2.

4What is the value of the definite integral ∫ from 0 to 1 of x · e^(x) dx?

A.e - 2

B.e - 1

C.1

D.2

Explanation: Integrating by parts with u = x (du = dx) and dv = e^x dx (v = e^x): ∫ x e^x dx = [x e^x] - ∫ e^x dx = x e^x - e^x. Evaluating from 0 to 1: (1·e^1 - e^1) - (0·e^0 - e^0) = 0 - (-1) = 1.

5What is the general solution of 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) + 6

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

Explanation: The homogeneous equation y' + 3y = 0 has the solution y_h(x) = C e^(-3x). A constant particular solution y_p satisfies 0 + 3y_p = 6, which gives y_p = 2. Adding the particular solution gives y(x) = C e^(-3x) + 2.

6In a geometric sequence (u_n) with positive terms, u_2 = 12 and u_5 = 96. What is the first term u_0?

A.3

B.4

C.6

D.1.5

Explanation: In a geometric sequence, u_5 / u_2 = q^(5 - 2) = q^3. Thus q^3 = 96 / 12 = 8, which yields common ratio q = 2. Since u_2 = u_0 · q^2, we have 12 = u_0 · 2^2 = 4 u_0, hence u_0 = 3.

7What is the modulus and principal argument of the complex number z = -2 + 2i√3?

A.|z| = 2, arg(z) = 2π/3

B.|z| = 4, arg(z) = 5π/6

C.|z| = 4, arg(z) = 2π/3

D.|z| = 4, arg(z) = -π/3

Explanation: Modulus |z| = √((-2)² + (2√3)²) = √(4 + 12) = √16 = 4. Factoring out 4: z = 4(-1/2 + i√3/2). Since cos(θ) = -1/2 and sin(θ) = √3/2, the point lies in the second quadrant with argument θ = π - π/3 = 2π/3.

8What are all solutions to the equation cos(2x) = 1/2 in the interval [0, π]?

A.x = π/3 and x = 2π/3

B.x = π/6 and x = 5π/6

C.x = π/6 and x = π/3

D.x = π/4 and x = 3π/4

Explanation: cos(θ) = 1/2 has solutions θ = π/3 + 2kπ or θ = -π/3 + 2kπ = 5π/3 + 2kπ. Since θ = 2x and x ∈ [0, π], we have 2x ∈ [0, 2π]. Thus 2x = π/3 ⇒ x = π/6, or 2x = 5π/3 ⇒ x = 5π/6.

9Given two 3D vectors u = (2, -1, 3) and v = (4, y, -2), what value of y makes u and v orthogonal?

A.2

B.-2

C.14

D.-14

Explanation: Two vectors are orthogonal if and only if their scalar (dot) product is zero: u · v = 0. Here, u · v = (2)(4) + (-1)(y) + (3)(-2) = 8 - y - 6 = 2 - y. Setting 2 - y = 0 yields y = 2.

10For what value of k are the vectors u = (1, k, 2) and v = (2, -1, 0) perpendicular?

A.-2

B.0

C.2

D.4

Explanation: Perpendicular vectors have a zero dot product. Here, u · v = (1)(2) + k(-1) + (2)(0) = 2 - k. Setting 2 - k = 0 gives k = 2.

About the Élèves Officiers Pilotes Niger Exam

The test de présélection de candidats en vue de la formation d'Officiers pilotes d'aéronefs au profit de l'Armée de l'Air is the official competitive selection administered by the Ministère de la Défense Nationale of Niger. Candidates sit three academic written tests—mathematics, English, and physical sciences (limited to mechanics and electricity)—weighted 2:1:2, followed by psychotechnical testing, medical screening, and flight evaluations in Niamey. This bank provides independent English-language MCQ study for the academic subjects.

Exam sponsor: Commission Permanente de Sélection du Personnel (Ministère de la Défense Nationale). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Phase 1: Academic written examinations (5 hours total on 27 August 2026): Mathematics (08:00–10:00, coefficient 2), English (10:30–11:30, coefficient 1), and Physical Sciences restricted to physical mechanics and electricity (12:00–14:00, coefficient 2). Phase 2 in Niamey: psychotechnical testing (coefficient 2), medical examinations for pilot fitness, and flight evaluations.

Time Limit

5 hours (Phase 1 written examinations: Math 2h, English 1h, Physics 2h)

Passing Score

Minimum 08/20 in mathematics and physical sciences; maximum 100 candidates shortlisted based on first-phase average (≥08/20); ties broken by math, then physics

Exam / Certification Fees

10,000 FCFA non-refundable dossier 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.

40% of this local bank (40 questions)

Mathematics

Quantitative practice in algebra, calculus, trigonometry, vectors, probability, and numerical problem solving

20% of this local bank (20 questions)

English Language

Reading comprehension, English grammar, aeronautical/technical terminology, and operational communication

20% of this local bank (20 questions)

Physical Sciences: Mechanics

Kinematics, forces, Newton's laws, energy conservation, equilibrium, circular motion, and fluid dynamics

20% of this local bank (20 questions)

Physical Sciences: Electricity

Direct current circuits, Ohm's law, Kirchhoff's laws, capacitors, magnetic induction, and alternating current principles

Preparing for the Élèves Officiers Pilotes Niger Exam

What You Need to Know

Passing score: Minimum 08/20 in mathematics and physical sciences; maximum 100 candidates shortlisted based on first-phase average (≥08/20); ties broken by math, then physics
Assessment: Phase 1: Academic written examinations (5 hours total on 27 August 2026): Mathematics (08:00–10:00, coefficient 2), English (10:30–11:30, coefficient 1), and Physical Sciences restricted to physical mechanics and electricity (12:00–14:00, coefficient 2). Phase 2 in Niamey: psychotechnical testing (coefficient 2), medical examinations for pilot fitness, and flight evaluations.
Time limit: 5 hours (Phase 1 written examinations: Math 2h, English 1h, Physics 2h)
Exam / certification fees: 10,000 FCFA non-refundable dossier fee Official sources

Using Our Practice Resources

Work through all 100 available questions
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Élèves Officiers Pilotes Niger: Suggested Study Strategy

1Focus heavily on mechanics and electricity in physics, as the 2026 ministry communiqué expressly restricts physical science testing to these two subdomains.

2Review algebra, vectors, trigonometric functions, differential calculus, probability, and timed quantitative problem solving.

3Practice English grammar, reading comprehension, and precise technical vocabulary; the official communiqué names an English paper but does not publish its internal topic distribution.

Frequently Asked Questions

What is the official structure of the Niger Air Force officer pilot selection concours?

The competition consists of two phases: Phase 1 includes three written academic papers in Mathematics (2 hours, coefficient 2), English (1 hour, coefficient 1), and Physical Sciences restricted to Mechanics and Electricity (2 hours, coefficient 2). Phase 2 in Niamey comprises psychotechnical evaluations (coefficient 2), rigorous flight medical screening, and flight evaluations.

What score is required to pass the academic phase?

Any score below 08/20 in mathematics or physical sciences is strictly eliminatory. At most 100 candidates nationwide who achieve an overall first-phase average of at least 08/20 are shortlisted for Phase 2 in Niamey, with ties broken first by mathematics and second by physical sciences.

Does this practice question bank simulate the official examination format?

No. The official sources describe written academic papers but do not publish their item type or question count. This bank provides an independent English-language multiple-choice study adaptation, not an official translation or format simulation, and it cannot substitute for psychotechnical, pilot medical, or flight evaluations.