Free Practice Questions for Mali ENI-ABT Entrance Exam

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Key Facts: Mali ENI-ABT Entrance Exam Exam

2 papers

Direct-entry written papers: Mathématiques and Physique

ENI-ABT 2023-2024 opening decision

3 h each

Published duration of each direct-entry paper

ENI-ABT 2023-2024 opening decision

10/20

Published minimum average, subject to jury authority and available places

ENI-ABT 2023-2024 opening decision

10,000 XOF

2026-2027 licence campaign dossier fee

ENI-ABT eCandidat

48 English MCQs for independent study of the mathematics and physics tested in ENI-ABT's published direct-entry written-paper specification.

Sample Mali ENI-ABT Entrance Exam Practice Questions

Try these sample questions to review concepts for the Mali ENI-ABT Entrance Exam exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 48+ question experience with AI tutoring.

1What is the limit of the function f(x) = sqrt(x^2 + 3x + 1) - x as x approaches positive infinity?

A.0

B.3/2

C.3

D.Positive infinity

Explanation: Multiplying and dividing by the conjugate expression gives (3x + 1) / (sqrt(x^2 + 3x + 1) + x). Dividing numerator and denominator by x gives (3 + 1/x) / (sqrt(1 + 3/x + 1/x^2) + 1), which approaches 3/2.

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

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

B.1 / sqrt(x^2 + 1)

C.x / sqrt(x^2 + 1)

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

Explanation: For u = x + sqrt(x^2 + 1), the chain rule gives f'(x) = u'/u. Since u' = 1 + x/sqrt(x^2 + 1), the common factor x + sqrt(x^2 + 1) cancels and leaves 1/sqrt(x^2 + 1).

3What is the value of the definite integral of x * e^(2x) dx evaluated from x = 0 to x = 1?

A.(e^2 - 1) / 2

B.(e^2 + 1) / 4

C.e^2 / 2

D.(3e^2 - 1) / 4

Explanation: Integration by parts with u = x and dv = e^(2x) dx gives an antiderivative (x/2)e^(2x) - (1/4)e^(2x). Evaluating at 1 and 0 gives e^2/4 + 1/4 = (e^2 + 1)/4.

4Which function solves the first-order differential equation y' - 3y = 6 with the initial condition y(0) = 1?

A.y(x) = 3e^(3x) - 2

B.y(x) = e^(3x) + 2

C.y(x) = 2e^(3x) - 1

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

Explanation: The homogeneous solution is C*e^(3x), and a constant particular solution is -2. Thus y = C*e^(3x) - 2; imposing y(0) = 1 gives C = 3.

5What is the solution to the initial value problem y'' + 4y = 0 with 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) = 3*cos(2x) + 2*sin(2x)

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

Explanation: The characteristic roots are +/-2i, so y = A*cos(2x) + B*sin(2x). The conditions give A = 2 and 2B = 6, hence B = 3.

6For the cubic function f(x) = x^3 - 3x + 2, which equation represents the tangent to its graph at x = 2?

A.y = 9x - 14

B.y = 9x - 18

C.y = 6x - 8

D.y = 3x - 2

Explanation: At x = 2, the curve has value 4. Its derivative is 3x^2 - 3, so the slope there is 9. The point-slope equation y - 4 = 9(x - 2) simplifies to y = 9x - 14.

7Evaluate L = lim[x -> 0] sin(3x)/tan(5x). What is L?

A.3/5

B.5/3

C.1

D.0

Explanation: Near zero, sin(3x) is equivalent to 3x and tan(5x) is equivalent to 5x. Their ratio therefore approaches 3/5.

8What is the value of the definite integral of ln(x)/x dx from x = 1 to x = e?

A.1/2

B.1

C.e/2

D.1/e

Explanation: With u = ln(x), du = dx/x and the bounds become 0 and 1. The integral is therefore the integral of u from 0 to 1, which equals 1/2.

9What are the coordinates of the inflection point of the cubic curve f(x) = 2x^3 - 9x^2 + 12x - 5?

A.(3/2, -1/2)

B.(1, 0)

C.(2, -1)

D.(3/2, 0)

Explanation: The second derivative is f''(x) = 12x - 18, so the concavity changes at x = 3/2. Substitution into f gives -1/2, so the point is (3/2, -1/2).

10What is the equation of the oblique asymptote of the rational function f(x) = (2x^2 + 5x - 1) / (x + 1) as x approaches infinity?

A.y = 2x + 3

B.y = 2x + 5

C.y = 2x - 1

D.y = 2x

Explanation: Polynomial division gives f(x) = 2x + 3 - 4/(x + 1). The remainder term approaches zero, so the oblique asymptote is y = 2x + 3.

About the Mali ENI-ABT Entrance Exam Exam

The Concours d'entrée à l'ENI-ABT is a competitive admission route for engineering programmes in Bamako. This independent English-language MCQ bank reviews the mathematics and physics knowledge named in the published direct-entry paper specification; it is not an official translation, approval, or paper simulation.

Exam sponsor: Direction Générale de l'École Nationale d'Ingénieurs Abderhamane Baba Touré (ENI-ABT), Ministère de l'Enseignement Supérieur et de la Recherche Scientifique (MESRS) du Mali.. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The latest full published ENI-ABT decision specifies two equal-coefficient direct-entry papers for baccalauréat holders: Mathématiques (3 hours, coefficient 1) and Physique (3 hours, coefficient 1). The current ENI-ABT portal confirms written entrance tests for 2026-2027. This 48-question English MCQ bank is an independent study adaptation, not an official translation, approval, or paper simulation.

Time Limit

6 hours total in the latest full published direct-route decision: Mathématiques (3 h) and Physique (3 h).

Passing Score

The latest full published decision sets a minimum 10/20 average within available places; the jury may lower it by absolute majority, and a score below 7/20 is normally eliminatory unless the jury decides otherwise.

Exam / Certification Fees

10,000 XOF dossier fee for the 2026-2027 licence campaign; additional stamp costs are mentioned but not quantified.

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.

3 hours, coefficient 1; 24 practice questions

Official Mathematics Paper

Constructed-response written paper; this bank studies analysis, complex numbers, algebra, geometry, and probability through MCQs.

3 hours, coefficient 1; 24 practice questions

Official Physics Paper

Constructed-response written paper; this bank studies mechanics, electricity, electromagnetism, thermodynamics, oscillations, and optics through MCQs.

Preparing for the Mali ENI-ABT Entrance Exam Exam

What You Need to Know

Passing score: The latest full published decision sets a minimum 10/20 average within available places; the jury may lower it by absolute majority, and a score below 7/20 is normally eliminatory unless the jury decides otherwise.
Assessment: The latest full published ENI-ABT decision specifies two equal-coefficient direct-entry papers for baccalauréat holders: Mathématiques (3 hours, coefficient 1) and Physique (3 hours, coefficient 1). The current ENI-ABT portal confirms written entrance tests for 2026-2027. This 48-question English MCQ bank is an independent study adaptation, not an official translation, approval, or paper simulation.
Time limit: 6 hours total in the latest full published direct-route decision: Mathématiques (3 h) and Physique (3 h).
Exam / certification fees: 10,000 XOF dossier fee for the 2026-2027 licence campaign; additional stamp costs are mentioned but not quantified. Official sources

Using Our Practice Resources

Work through all 48 available questions
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Mali ENI-ABT Entrance Exam: Suggested Study Strategy

1Master rigorous multi-step problem solving in differential calculus, complex numbers, and integration on paper.

2Review Newtonian dynamics, harmonic motion, and alternating circuit differential equations with their physical units.

3Solve full constructed-response mathematics problems after using these MCQs for concept checks.

4Write units and sign conventions at every stage of physics calculations, then verify the result dimensionally.

Frequently Asked Questions

What is the Concours d'entrée à l'ENI-ABT?

It is Mali's official competitive examination organized under Ordonnance n° 10-028/P-RM to admit qualified scientific and technical high school graduates into the undergraduate engineering programmes at the École Nationale d'Ingénieurs Abderhamane Baba Touré in Bamako.

How is the official examination structured?

For the direct baccalauréat route, the latest full published decision lists two constructed-response written papers: Mathématiques and Physique, each lasting 3 hours and carrying coefficient 1.

Who is eligible to participate in the competition?

The latest full direct-entry rules list current-year technical or scientific baccalauréat holders in GC, GEL, GELN, GEN, GM, GMI, TSE, or TSEXP. The 2026 licence campaign also lists Bac, BT2, or equivalent applicants, with route-specific requirements.

Is this practice question bank an official translation of the ENI-ABT examination?

No. This is an independent English-language MCQ study adaptation of the published mathematics and physics scope. It is not an official translation or a simulation of the written papers or their language environment; no official English delivery was confirmed.