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Exam Review

Key Facts: Tunisian Baccalauréat — Mathématiques Exam

10.00/20

Direct passing composite threshold in Session Principale

Ministère de l'Éducation (Tunisie)

22 TND

Candidate registration fiscal stamp fee

Ministère de l'Éducation

Coeff 4

Mathématiques and Sciences physiques each carry coefficient 4 (section total 15)

Arrêté du 24 avril 2008 (as amended)

3–10 June 2026

Written papers of the 2026 Session Principale

Ministère de l'Éducation

Sample Tunisian Baccalauréat — Mathématiques Practice Questions

Try these sample questions to review concepts for the Tunisian Baccalauréat — Mathématiques 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 function f(x) = sin(3x) / x as x approaches 0?
A.3
B.1
C.0
D.1/3
Explanation: Using the fundamental trigonometric limit lim_{u->0} sin(u)/u = 1 with u = 3x, we can rewrite the expression as 3 * (sin(3x) / (3x)). As x approaches 0, the ratio sin(3x)/(3x) approaches 1, giving a limit of 3 * 1 = 3.
2What is the derivative of f(x) = ln(2x^2 + 1) evaluated at x = 1?
A.2/3
B.4/3
C.4
D.1/3
Explanation: Applying the chain rule for logarithmic functions, the derivative of ln(u(x)) is u'(x) / u(x). Here u(x) = 2x^2 + 1 and u'(x) = 4x, so f'(x) = 4x / (2x^2 + 1). Evaluating at x = 1 yields 4(1) / (2(1)^2 + 1) = 4/3.
3Consider the polynomial function f(x) = x^3 + 2x - 5 on the interval [1, 2]. According to the Intermediate Value Theorem, how many real roots does f have in the open interval ]1, 2[?
A.No real root
B.Exactly two real roots
C.Exactly one real root
D.Infinitely many real roots
Explanation: Evaluating at the endpoints gives f(1) = 1 + 2 - 5 = -2 < 0 and f(2) = 8 + 4 - 5 = 7 > 0. Since f is continuous on [1, 2] and changes sign, the Intermediate Value Theorem guarantees at least one root. Furthermore, f'(x) = 3x^2 + 2 > 0 for all x, meaning f is strictly increasing, so the root is unique.
4For the function f(x) = x^2 on the interval [0, 4], which value of c in the open interval ]0, 4[ satisfies the conclusion of the Mean Value Theorem?
A.1
B.sqrt(2)
C.3
D.2
Explanation: The Mean Value Theorem states there exists c in ]0, 4[ such that f'(c) = (f(4) - f(0)) / (4 - 0). Here (f(4) - f(0)) / 4 = (16 - 0) / 4 = 4. Since f'(x) = 2x, setting 2c = 4 gives c = 2.
5In an orthonormal frame, which conic has the equation x²/9 + y²/4 = 1, and what is its eccentricity e?
A.An ellipse with eccentricity e = √5/3
B.A hyperbola with eccentricity e = √13/3
C.An ellipse with eccentricity e = 2/3
D.A parabola with eccentricity e = 1
Explanation: The equation has the reduced form x²/a² + y²/b² = 1 with a = 3 and b = 2, so the conic is an ellipse whose major axis is (Ox). Its focal distance satisfies c² = a² − b² = 9 − 4 = 5, so c = √5 and the eccentricity is e = c/a = √5/3, which is less than 1 as it must be for an ellipse.
6What is the equation of the oblique asymptote of the curve representing f(x) = (2x^2 + 3x - 1) / (x - 1) as x approaches +infinity?
A.y = 2x + 3
B.y = 2x + 5
C.y = 2x - 1
D.y = 2x
Explanation: Performing polynomial Euclidean division of 2x^2 + 3x - 1 by x - 1 gives (2x^2 + 3x - 1) = (x - 1)(2x + 5) + 4. Thus f(x) = 2x + 5 + 4/(x - 1). As x approaches +infinity, 4/(x - 1) approaches 0, establishing the oblique asymptote y = 2x + 5.
7Evaluate the definite integral of (3x^2 - 2x + 1) dx from x = 0 to x = 1.
A.0
B.2
C.1
D.3
Explanation: An antiderivative of 3x^2 - 2x + 1 is F(x) = x^3 - x^2 + x. Evaluating from 0 to 1 gives F(1) - F(0) = (1^3 - 1^2 + 1) - 0 = 1.
8Which of the following is the general antiderivative of f(x) = x * e^(x^2) on R?
A.e^(x^2) + C
B.2 * e^(x^2) + C
C.(x^2 / 2) * e^(x^2) + C
D.(1/2) * e^(x^2) + C
Explanation: Notice that the integrand can be written in the form (1/2) * u'(x) * e^(u(x)) where u(x) = x^2 and u'(x) = 2x. The antiderivative is therefore (1/2) * e^(x^2) + C.
9What is the general solution of the first-order homogeneous differential equation y' + 3y = 0?
A.y(x) = C * e^(-3x)
B.y(x) = C * e^(3x)
C.y(x) = -3x + C
D.y(x) = C * e^(-x/3)
Explanation: For any linear differential equation of the form y' + a y = 0, the solutions are given by y(x) = C * e^(-a x), where C is a real constant. Here a = 3, so y(x) = C * e^(-3x).
10Find the unique solution of the differential equation y' - 2y = 4 satisfying the initial condition y(0) = 1.
A.y(x) = e^(2x) - 2
B.y(x) = 3 * e^(2x) - 2
C.y(x) = 2 * e^(2x) - 1
D.y(x) = 3 * e^(-2x) + 2
Explanation: The homogeneous solution is y_h(x) = C * e^(2x). A particular constant solution is y_p = 4 / (-2) = -2. Thus the general solution is y(x) = C * e^(2x) - 2. Applying the initial condition y(0) = 1 yields C - 2 = 1, so C = 3. Therefore, y(x) = 3 * e^(2x) - 2.

About the Tunisian Baccalauréat — Mathématiques Exam

National secondary school graduation examination in Tunisia for the elite mathematics stream, administered nationwide by the Direction Générale des Examens under the Ministère de l'Éducation. This resource is an independent English-language MCQ study adaptation.

Exam sponsor: Ministère de l'Éducation (Direction Générale des Examens), République Tunisienne. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official coefficients: Mathématiques 4, Sciences physiques 4, Sciences de la vie et de la Terre 1, Informatique 1 (0.5 written + 0.5 practical), Français 1, Anglais 1, Philosophie 1, Arabe 1 and Sport 1 (total 15). An optional subject adds only the points above 10/20. Written papers are sat in the June Session Principale (2026: 3–10 June); candidates averaging 7.00–9.99/20 sit the Session de Contrôle (2026: 29 June–2 July), where the better of the two marks counts for each subject retaken. This bank is an independent English-language MCQ study adaptation, not an official translation or format simulation.

Time Limit

Written papers in the June Session Principale (2026: 3–10 June); durations vary by subject (e.g., the written Informatique paper lasts 1 h 30)

Passing Score

10.00/20 composite weighted average for direct pass (Session Principale); 7.00–9.99/20 qualifies for Session de Contrôle

Exam / Certification Fees

22 TND (electronic fiscal stamp / timbre fiscal électronique)

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.

~43% of this bank

Advanced Mathematics

Continuity and derivatives, logarithmic and exponential functions, integrals, sequences, the differential equations y' = ay + b and y'' + ω²y = 0, complex numbers, isometries and similitudes, conics, space geometry, arithmetic in Z, two-variable statistics and probability (binomial and exponential laws).

~35% of this bank

Physical Sciences

Free and forced RC, RL and RLC circuits, elastic pendulum oscillations, progressive waves, atomic spectra and nuclear physics; chemical kinetics, chemical equilibrium, acid-base reactions and electrochemical cells.

~22% of this bank

Algorithmics & Philosophy of Science

Algorithms in the Tunisian pseudocode notation (functions and procedures, random values, sequential and dichotomic search, sorting, recursion, series approximations) plus philosophy-of-science themes (Bernard, Popper, Bachelard, Kuhn).

Preparing for the Tunisian Baccalauréat — Mathématiques Exam

What You Need to Know

  • Passing score: 10.00/20 composite weighted average for direct pass (Session Principale); 7.00–9.99/20 qualifies for Session de Contrôle
  • Assessment: Official coefficients: Mathématiques 4, Sciences physiques 4, Sciences de la vie et de la Terre 1, Informatique 1 (0.5 written + 0.5 practical), Français 1, Anglais 1, Philosophie 1, Arabe 1 and Sport 1 (total 15). An optional subject adds only the points above 10/20. Written papers are sat in the June Session Principale (2026: 3–10 June); candidates averaging 7.00–9.99/20 sit the Session de Contrôle (2026: 29 June–2 July), where the better of the two marks counts for each subject retaken. This bank is an independent English-language MCQ study adaptation, not an official translation or format simulation.
  • Time limit: Written papers in the June Session Principale (2026: 3–10 June); durations vary by subject (e.g., the written Informatique paper lasts 1 h 30)
  • Exam / certification fees: 22 TND (electronic fiscal stamp / timbre fiscal électronique) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
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Tunisian Baccalauréat — Mathématiques: Suggested Study Strategy

1Work through extensive problem sets on modular arithmetic, Bézout's identity, and Gauss's theorem in Z.
2Solve differential equations and integration by parts problems systematically with proper boundary conditions.
3Analyze RLC circuit differential equations and resonance frequency conditions in both mechanical and electrical analogues.
4Practice tracing recursive algorithms and calculating time complexities for standard sorting routines.

Frequently Asked Questions

What is the Tunisian Baccalauréat Section Mathématiques?

The Section Mathématiques is the Tunisian secondary track centred on mathematics and physical sciences. Through the national orientation process its graduates can enter programmes such as the preparatory engineering institutes (for example IPEST), medicine and other science-based university studies.

What are the subject coefficients in this section?

The official coefficients are Mathématiques 4, Sciences physiques 4, Sciences de la vie et de la Terre 1, Informatique 1 (0.5 written + 0.5 practical), Français 1, Anglais 1, Philosophie 1, Arabe 1 and Sport 1 (total 15). The overall average is the coefficient-weighted mean of the marks out of 20; an optional subject adds only the points above 10. A candidate passes directly with an average of 10.00/20 or more in the Session Principale.

What happens if a candidate averages between 7.00 and 9.99/20?

Candidates with an average of at least 7.00 and below 10.00/20 in the Session Principale sit the Session de Contrôle (29 June–2 July in 2026), retaking selected subjects; for each subject retaken, the better of the two marks is kept.