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Free Practice Questions for ESPA Concours

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Key Facts: ESPA Concours Exam

4–5 Nov 2026

Official dates for the ESPA first-year entrance concours for academic year 2026–2027

https://concours.espa-tana.mg

50,000 Ar

Non-refundable registration fee shown on the official 2026 application page

https://concours.espa-tana.mg

5 papers

Mathematics, French, Physics, Psychotechnical Test, and one optional Chemistry, Electricity, or RDM paper

https://concours.espa-tana.mg

Coeff 3

Highest published coefficients, assigned to Mathematics and Physics

https://concours.espa-tana.mg

30 maximum

Published maximum places per mention; five foreign-candidate places are reserved across all mentions

https://concours.espa-tana.mg

Free 100-question independent study practice for the 2026 ESPA first-year concours, covering mathematics, French, physics, psychotechnical reasoning, and optional technical subjects.

Sample ESPA Concours Practice Questions

Try these sample questions to review concepts for the ESPA Concours 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(4x) / (2x)]?
A.2.0
B.0.5
C.4.0
D.1.0
Explanation: Using the standard limit lim (u -> 0) [sin(u) / u] = 1, we can rewrite the expression as [sin(4x) / (4x)] * (4 / 2) = 1 * 2 = 2.0.
2What is the value of the first derivative of f(x) = ln(3x^2 + 1) evaluated at x = 1?
A.1.5
B.3.0
C.0.75
D.2.0
Explanation: Applying the chain rule for logarithmic functions, f'(x) = u'(x) / u(x) = (6x) / (3x^2 + 1). Evaluating at x = 1 gives f'(1) = 6(1) / (3(1)^2 + 1) = 6 / 4 = 1.5.
3Which French sentence has correct noun-adjective agreement?
A.Les données sont complètes.
B.Les données est complète.
C.Les donnée sont complets.
D.Les données sont complet.
Explanation: In French, données is a feminine plural noun. The predicate adjective must therefore take the feminine plural form complètes, and the plural subject takes sont.
4Which French sentence correctly distinguishes a from à?
A.Le candidat a répondu à toutes les questions.
B.Le candidat à répondu a toutes les questions.
C.Le candidat a répondu a toutes les questions.
D.Le candidat à répondu à toutes les questions.
Explanation: A without an accent is the third-person singular form of avoir in the compound verb a répondu. À with a grave accent is the preposition required before toutes les questions.
5Three identical sensor rows each contain x sensing elements, and two shared reference elements are mounted outside the rows. If the assembly has 29 elements in total, what is x?
A.9
B.27
C.10
D.7
Explanation: The three rows contribute 3x elements and the shared references contribute 2, so 3x + 2 = 29. Subtracting 2 and dividing by 3 gives x = 27/3 = 9.
6Given three-dimensional vectors u = (2, -1, 3) and v = (4, 2, -1), what is their scalar (dot) product u . v?
A.3
B.7
C.-3
D.5
Explanation: The dot product in R^3 is computed as u_x*v_x + u_y*v_y + u_z*v_z = (2)(4) + (-1)(2) + (3)(-1) = 8 - 2 - 3 = 3.
7What is the probability of rolling a sum of exactly 7 with two fair, independent six-sided dice?
A.1/6
B.1/12
C.7/36
D.1/4
Explanation: There are 6 * 6 = 36 possible outcomes. The pairs summing to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), giving 6 favorable outcomes. The probability is 6/36 = 1/6.
8A calibration model uses g(t) = 1/sqrt(t - 3). For which real values of t is the model defined?
A.(3, +infinity)
B.[3, +infinity)
C.(-infinity, 3)
D.(-infinity, 3]
Explanation: Because sqrt(t - 3) is in the denominator, its radicand must be strictly positive: t - 3 > 0. Therefore t > 3, so the domain is (3, +infinity).
9What is the real solution x to the exponential equation 2^(x + 1) = 16?
A.3
B.4
C.2
D.5
Explanation: Express both sides as powers of 2: 16 = 2^4. Equating exponents gives x + 1 = 4, so x = 4 - 1 = 3.
10What is the value of the limit lim (x -> +infinity) [sqrt(x^2 + 4x) - x]?
A.2.0
B.0.0
C.4.0
D.+infinity
Explanation: Multiply and divide by the conjugate: [sqrt(x^2 + 4x) - x] * [sqrt(x^2 + 4x) + x] / [sqrt(x^2 + 4x) + x] = (x^2 + 4x - x^2) / [x * (sqrt(1 + 4/x) + 1)] = 4x / [x * (sqrt(1 + 4/x) + 1)]. Factoring out x yields 4 / (sqrt(1 + 0) + 1) = 4 / 2 = 2.0.

About the ESPA Concours Exam

The Concours d'entrée en 1ère année is ESPA's current competitive first-year admission assessment for the 2026–2027 academic year. The official 2026 schedule has five timed papers: Mathematics, French, Physics, a Psychotechnical Test, and one candidate-selected optional paper in Chemistry, Electricity, or Résistance des Matériaux (RDM). ESPA publishes a French-language admissions site and includes French as a separate paper, but the reviewed public materials do not state permitted response languages for the other papers. This free bank is independent English-language MCQ study practice, with French text retained where the French paper's skills are practiced; it is not an official translation, past paper, or format simulation.

Exam sponsor: École Supérieure Polytechnique d'Antananarivo (ESPA), Université d'Antananarivo. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The 2026 concours consists of Mathematics (3 hours, coefficient 3), French (2 hours, coefficient 2), Physics (2.5 hours, coefficient 3), Psychotechnical Test (1 hour, coefficient 2), and one optional paper in Chemistry, Electricity, or Résistance des Matériaux (2 hours, coefficient 2). This 100-question resource is an independent English-language MCQ study adaptation, with French retained for French-language skills.

Time Limit

10 hours 30 minutes of scheduled paper time across 4–5 November 2026

Passing Score

Not published; ESPA states a maximum of 30 places per mention, with five places reserved for foreign candidates across all mentions

Exam / Certification Fees

50,000 Ariary non-refundable registration fee

Exam sponsor website

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

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.

Coefficient 3 (25 practice questions)

Mathematics

Independent practice in algebra, calculus, geometry, probability, sequences, vectors, complex numbers, and differential equations.

Coefficient 2 (17 practice questions)

French

French grammar, orthography, vocabulary, cohesion, reading comprehension, argument analysis, and formal technical expression.

Coefficient 3 (25 practice questions)

Physics

Independent calculation and concept practice spanning mechanics, waves, optics, thermodynamics, electricity, magnetism, fluids, and modern physics.

Coefficient 2 (17 practice questions)

Psychotechnical Test

Numerical, deductive, spatial, mechanical, scheduling, work-rate, and probability reasoning.

Coefficient 2 (16 mixed practice questions)

Optional Paper: Chemistry, Electricity, or RDM

Mixed study questions across the three published optional-paper choices; official candidates select one option.

Preparing for the ESPA Concours Exam

What You Need to Know

  • Passing score: Not published; ESPA states a maximum of 30 places per mention, with five places reserved for foreign candidates across all mentions
  • Assessment: The 2026 concours consists of Mathematics (3 hours, coefficient 3), French (2 hours, coefficient 2), Physics (2.5 hours, coefficient 3), Psychotechnical Test (1 hour, coefficient 2), and one optional paper in Chemistry, Electricity, or Résistance des Matériaux (2 hours, coefficient 2). This 100-question resource is an independent English-language MCQ study adaptation, with French retained for French-language skills.
  • Time limit: 10 hours 30 minutes of scheduled paper time across 4–5 November 2026
  • Exam / certification fees: 50,000 Ariary non-refundable registration fee Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

ESPA Concours: Suggested Study Strategy

1Allocate practice time by the current coefficients: Mathematics and Physics each carry coefficient 3; French, Psychotechnical Test, and the optional paper each carry coefficient 2.
2Work full written solutions as well as these MCQs because ESPA does not publish an all-MCQ official format.
3For French, practice agreement, mood, connectors, contextual vocabulary, comprehension, synthesis, and concise formal revision.
4For Mathematics and Physics, show units and intermediate reasoning so arithmetic and sign errors are visible during review.
5Select the optional subject relevant to your application and use the mixed optional section only for that subject's independent practice.

Frequently Asked Questions

What is the official 2026 examination format for the Concours ESPA?

ESPA schedules five timed papers on 4–5 November 2026: Mathematics (3 hours, coefficient 3), French (2 hours, coefficient 2), Physics (2.5 hours, coefficient 3), Psychotechnical Test (1 hour, coefficient 2), and one optional Chemistry, Electricity, or RDM paper (2 hours, coefficient 2). ESPA does not publish fixed item counts or item types.

What language is the official ESPA concours delivered in?

The current official admissions site is in French and French is itself a required paper. The public materials reviewed do not expressly state the permitted response languages for the other papers, so no broader official-language claim is made. This is an independent English-language MCQ study adaptation, with French retained where the French paper's language skills are practiced.

Who can apply for the 2026 ESPA concours?

The application requires a certified Baccalauréat diploma or marks statement; candidates sitting the 2026 Baccalauréat may submit their examination notice. The current form lists Series C, D, S, Technique Industrielle, Technique Génie Civil, and an 'Autre' option.

What is the registration fee for the 2026 Concours ESPA?

The official non-refundable registration fee is 50,000 Ariary, with the original payment receipt included in the application dossier.

What score is required to pass the Concours ESPA?

ESPA does not publish a fixed passing score on the current admissions page. It states a maximum of 30 places per mention, including five places reserved for foreign candidates across all mentions.