Free Practice Questions for Guinea Bac Math

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card

100+ Questions

100% Free

Loading practice questions...

Same family resources

Explore More Guinea Baccalauréat Unique

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Baccalauréat Unique — Sciences Expérimentales (Guinea)

Practice Questions100 questions

Baccalauréat Unique — Sciences Sociales (Guinea)

Practice Questions100 questions

Exam Review

Key Facts: Guinea Bac Math Exam

Coefficient 4

Mathematics Paper Weighting, 4-Hour Duration (Série SM)

Guinea Baccalauréat SM mathematics paper header, 2022 session

10.00 / 20

Minimum General Average to Pass

DGECS-CP 2026 rattrapage communiqué

8.50 – 9.99

Average Range Eligible for the New Rattrapage Session

Ministry communiqué of 29 June 2026

7 Papers

Written Papers Sat by the Sciences Mathématiques Série

DGECS-CP 2026 examination timetable, published 18 May 2026

The Guinea Baccalauréat Sciences Mathématiques is the premier STEM secondary exit exam administered by DGECS-CP, testing advanced calculus, mechanics, and chemistry to qualify students for higher education.

Sample Guinea Bac Math Practice Questions

Try these sample questions to review concepts for the Guinea Bac Math 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 as x approaches 0 of the function f(x) = (ln(1 + 3x)) / x?

A.0

B.1

C.3

D.+∞

Explanation: Using the standard derivative limit definition for the natural logarithm, lim_{u→0} (ln(1 + u))/u = 1. With u = 3x, as x → 0, u → 0. Therefore: lim_{x→0} (ln(1 + 3x))/x = 3 · lim_{u→0} (ln(1 + u))/u = 3 · 1 = 3 (or by applying L'Hôpital's rule: derivative of numerator is 3/(1 + 3x), which equals 3 at x = 0).

2What is the derivative f'(x) of the function f(x) = x² · e^(-2x) on ℝ?

A.f'(x) = 2x · e^(-2x)

B.f'(x) = 2x(1 - x) · e^(-2x)

C.f'(x) = -2x² · e^(-2x)

D.f'(x) = 2x(1 + x) · e^(-2x)

Explanation: Applying the product rule (uv)' = u'v + uv' with u(x) = x² (u' = 2x) and v(x) = e^(-2x) (v' = -2e^(-2x)): f'(x) = 2x · e^(-2x) + x² · (-2e^(-2x)) = (2x - 2x²) · e^(-2x) = 2x(1 - x) · e^(-2x).

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

A.|z| = 2 and arg(z) = 5π/6 [2π]

B.|z| = 2 and arg(z) = -π/6 [2π]

C.|z| = 4 and arg(z) = 2π/3 [2π]

D.|z| = √2 and arg(z) = 5π/6 [2π]

Explanation: Modulus: |z| = √((-√3)² + 1²) = √(3 + 1) = √4 = 2. Factoring out 2 gives z = 2(-√3/2 + i/2). Since cos(θ) = -√3/2 < 0 and sin(θ) = 1/2 > 0, θ lies in the second quadrant: θ = π - π/6 = 5π/6.

4What is the value of the definite integral I = ∫₀¹ (2x + 1) / (x² + x + 1) dx?

A.ln(2)

B.ln(3)

C.3

D.e³ - 1

Explanation: Notice that the numerator is the exact derivative of the denominator: u(x) = x² + x + 1, so u'(x) = 2x + 1. The integral has the form ∫ u'/u dx = [ln|u(x)|]₀¹. Evaluating: ln(1² + 1 + 1) - ln(0 + 0 + 1) = ln(3) - ln(1) = ln(3) - 0 = ln(3).

5What is the general solution of the second-order differential equation y'' + 9y = 0 on ℝ?

A.y(x) = A · e^(3x) + B · e^(-3x) (A, B ∈ ℝ)

B.y(x) = A · cos(3x) + B · sin(3x) (A, B ∈ ℝ)

C.y(x) = (Ax + B) · e^(3x) (A, B ∈ ℝ)

D.y(x) = A · cos(9x) + B · sin(9x) (A, B ∈ ℝ)

Explanation: The characteristic equation is r² + 9 = 0, which has pure imaginary roots r = ±3i. The general solution of y'' + ω²y = 0 with ω = 3 is y(x) = A · cos(3x) + B · sin(3x) where A and B are arbitrary real constants.

6In modular arithmetic, what is the smallest positive integer remainder of 3²⁰²⁶ divided by 7?

A.1

B.2

C.4

D.6

Explanation: By Fermat's Little Theorem, 3⁶ ≡ 1 [7] because 7 is prime and gcd(3, 7) = 1. Dividing the exponent 2026 by 6: 2026 = 6 × 337 + 4. Thus 3²⁰²⁶ = (3⁶)³³⁷ × 3⁴ ≡ 1³³⁷ × 3⁴ ≡ 81 [7]. Since 81 = 7 × 11 + 4, the remainder modulo 7 is 4.

7In 3D space with an orthonormal basis (O; i, j, k), what is the Cartesian equation of the plane P passing through point A(1, -2, 3) with normal vector n(2, -1, 4)?

A.2x - y + 4z - 16 = 0

B.2x - y + 4z + 16 = 0

C.x - 2y + 3z - 16 = 0

D.2x + y + 4z - 14 = 0

Explanation: A plane with normal vector n(a, b, c) has equation a(x - xA) + b(y - yA) + c(z - zA) = 0. Substituting: 2(x - 1) - 1(y - (-2)) + 4(z - 3) = 0 → 2x - 2 - y - 2 + 4z - 12 = 0 → 2x - y + 4z - 16 = 0.

8What is the number of distinct 4-member committee permutations that can be selected from a class of 10 students when each member occupies a specific named post (President, Secretary, Treasurer, Auditor)?

A.210

B.5,040

C.24

D.10,000

Explanation: Since each post is distinct (ordered selection without repetition), this is an arrangement: A(10, 4) = 10! / (10 - 4)! = 10 × 9 × 8 × 7 = 5,040.

9What is the barycenter G of the weighted points system {(A, 2), (B, 3), (C, -1)}?

A.The point G such that 2GA + 3GB - GC = 0 (with total weight 4)

B.The point G such that GA + GB + GC = 0

C.The point G does not exist because one of the weights is negative

D.The midpoint of segment [AB]

Explanation: The barycenter of {(A, a), (B, b), (C, c)} exists if and only if the sum of weights is non-zero: 2 + 3 + (-1) = 4 ≠ 0. It is defined by the vector relation 2GA + 3GB - GC = 0 (or OG = (2OA + 3OB - OC)/4).

10A continuous random variable X follows an exponential distribution with parameter λ = 0.5. What is the expected value (espérance mathématique) E(X)?

A.0.5

B.1

C.2

D.4

Explanation: For an exponential random variable with parameter λ, the expected value is E(X) = 1 / λ. Here: E(X) = 1 / 0.5 = 2.

About the Guinea Bac Math Exam

The Baccalauréat Unique — Série Sciences Mathématiques (SM) is the premier national secondary school exit credential in the Republic of Guinea for students completing senior secondary education in the exact sciences track. Administered annually by the Direction Générale des Examens et Contrôle Scolaire (DGECS) under the Ministry of National Education, Literacy, Technical Education and Vocational Training (which absorbed the former MEPU-A in January 2026), the Baccalauréat Unique is both the crowning certificate of secondary studies and the sole qualifying diploma for admission to universities, polytechnics, and higher institutes. The Sciences Mathématiques curriculum emphasizes advanced calculus, differential equations, complex numbers, Newtonian mechanics, electromagnetic wave theory, chemical kinetics and thermodynamics, as well as philosophical critique and literature. A weighted coefficient system is applied, with mathematics and physics carrying dominant weights, requiring a general average of at least 10.00 out of 20 for full admission. Format and language note: the official examination is written in French and assessed through extensive mathematical proofs, circuit derivations, chemical reaction equilibria, and philosophical essays, not by multiple-choice questions. This site's practice bank is a 100-question English-language MCQ study adaptation of the official syllabus — a study aid for the underlying scientific and mathematical principles. It is not an official translation, not an official-format simulation, and not a substitute for practicing French-language written problem solving.

Exam sponsor: Direction générale des examens, du contrôle scolaire, des concours et passerelles (DGECS-CP). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

National secondary school exit examination organised annually by the DGECS-CP at the end of Terminale. The série Sciences Mathématiques (SM) sits seven written papers: Mathématiques, Physique, Chimie, Français, Anglais, Économie and Philosophie. Papers carry published coefficients — the 2022 SM mathematics paper was headed 'Durée : 4 heures, Coefficient : 4' — and each is marked out of 20. From the 2026 session, candidates finishing the ordinary session with an average between 8.50 and 9.99 out of 20 may sit a rattrapage in at most two subjects, with priority to the specialty subjects; a resit mark replaces the ordinary mark only when it is higher, and a final average of at least 10.00/20 carries the same diploma.

Time Limit

Four written-paper days inside a five-day window; the 2026 ordinary session ran Monday 29 June to Friday 3 July 2026 with a rest day on Wednesday 1 July. The 2026 rattrapage session ran 20–23 August 2026.

Passing Score

Moyenne générale of at least 10.00/20 across the weighted papers

Exam / Certification Fees

Not published by DGECS-CP; registration is handled through the ministry platform www.dgecs.com and no examination fee is stated on the official notices

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.

31%

Mathématiques (Analyse, Algèbre & Géométrie)

Limits, derivatives, logarithm and exponential functions, primitives and definite integrals, integration by parts, partial fractions, first- and second-order differential equations, Maclaurin expansions, sequences and series, complex numbers and plane transformations, arithmetic in Z and the Euclidean algorithm, space geometry, dot and cross products, counting, binomial and exponential distributions.

19%

Physique (Mécanique, Électromagnétisme & Physique moderne)

Newtonian mechanics and projectile motion, satellite orbits, the simple pendulum, work and power, rotational kinetic energy, series RLC resonance, self-inductance, Lenz's law, charged particles in a magnetic field, Young's double slit, the photoelectric effect, the elementary charge, waves, sound level, Carnot efficiency, radioactive decay and fission.

14%

Chimie (Chimie générale & Organique)

Reaction rates, catalysis and reaction order, Le Chatelier's principle, weak-acid pH and buffer calculations, acid–base titration and indicator choice, galvanic cells and standard EMF, cathodic protection, esterification and saponification, IUPAC nomenclature, functional groups, chirality and chemical thermodynamics.

13%

Philosophie

Epistemology and the limits of induction (Descartes, Popper, Bachelard), consciousness and the unconscious (Freud), freedom and determinism (Spinoza, Sartre), moral philosophy (Kant, Nietzsche), political philosophy (Hobbes, Rousseau, Marx, Arendt) and the analysis of power (Foucault).

13%

Français & Littérature

Guinean and Francophone African literature (Camara Laye, Williams Sassine, Djibril Tamsir Niane, Aimé Césaire), classical dramatic structure and versification, figures of speech, grammatical analysis, argumentation and fallacies, paronyms and the method of the dissertation.

Anglais

Third conditional, inversion after negative adverbials, passive reporting structures, modals of past deduction, logical connectors and scientific prefixes and vocabulary.

Économie

Guinean mining economics — the Compagnie des Bauxites de Guinée and the Sangarédi–Kamsar chain, the Simandou iron ore project and the Transguinéen corridor — together with the trade balance and Guinea's 1960 monetary reform.

Preparing for the Guinea Bac Math Exam

What You Need to Know

Passing score: Moyenne générale of at least 10.00/20 across the weighted papers
Assessment: National secondary school exit examination organised annually by the DGECS-CP at the end of Terminale. The série Sciences Mathématiques (SM) sits seven written papers: Mathématiques, Physique, Chimie, Français, Anglais, Économie and Philosophie. Papers carry published coefficients — the 2022 SM mathematics paper was headed 'Durée : 4 heures, Coefficient : 4' — and each is marked out of 20. From the 2026 session, candidates finishing the ordinary session with an average between 8.50 and 9.99 out of 20 may sit a rattrapage in at most two subjects, with priority to the specialty subjects; a resit mark replaces the ordinary mark only when it is higher, and a final average of at least 10.00/20 carries the same diploma.
Time limit: Four written-paper days inside a five-day window; the 2026 ordinary session ran Monday 29 June to Friday 3 July 2026 with a rest day on Wednesday 1 July. The 2026 rattrapage session ran 20–23 August 2026.
Exam / certification fees: Not published by DGECS-CP; registration is handled through the ministry platform www.dgecs.com and no examination fee is stated on the official notices 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

Frequently Asked Questions

What is the Guinea Baccalauréat Sciences Mathématiques examination?

The Baccalauréat Unique — Série Sciences Mathématiques (SM) is the official national secondary school exit credential in Guinea for senior secondary students in the exact sciences track. Passing the Baccalauréat is the mandatory qualification for university matriculation in STEM programs such as engineering, computer science, physics, mathematics, and architecture.

What subjects are tested on the Baccalauréat Sciences Mathématiques?

The série Sciences Mathématiques sits seven written papers: Mathématiques, Physique, Chimie, Français, Anglais, Économie and Philosophie. Each is marked out of 20 and carries a coefficient printed on the paper — the 2022 SM mathematics paper was headed 'Durée : 4 heures, Coefficient : 4'. DGECS-CP does not publish a consolidated coefficient table, so treat any full table quoted elsewhere as unverified. Histoire and Géographie are Sciences Sociales papers and are not sat by SM candidates.

What average is required to pass the Baccalauréat in Guinea, and when is a mention awarded?

A moyenne générale of at least 10.00 out of 20 across the weighted papers is required to be declared admis. Mentions begin at 12.00/20 with Assez Bien: UGANC's 2026-2027 appel à candidature for its health-sciences concours requires a Baccalauréat 'mention Très bien, Bien ou Assez-bien … avec une moyenne minimale de 12,00', which is why selective faculties screen on the mention rather than on the bare pass.

How does the Baccalauréat SM differ from Sciences Expérimentales (SE)?

Sciences Mathématiques places primary emphasis on advanced mathematics (analysis, complex numbers, 3D geometry) and theoretical physics. Sciences Expérimentales places primary emphasis on Biology/SVT (genetics, immunology, geology) and Chemistry, with a lighter mathematics syllabus.

Is there a resit session if I just miss the pass mark?

Yes, since the 2026 session. A ministry communiqué of 29 June 2026 created a rattrapage for candidates whose ordinary-session average falls between 8.50 and 9.99 out of 20. Candidates resit at most two subjects, with priority given to the specialty subjects, and a resit mark replaces the ordinary mark only when it is higher. A final average of at least 10.00/20 carries a diploma of identical academic and legal value. The first rattrapage ran 20–23 August 2026, with results on 2 September 2026.