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Free Practice Questions for Bac Série C Côte d'Ivoire

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Key Facts: Bac Série C Côte d'Ivoire Exam

5,000 FCFA

Official candidate registration fee via TrésorPay/TrésorMoney

DECO MENA

200 / 400

Direct admission passing score threshold (10/20 average)

DECO

Gateway to CPGE

Principal pathway to INP-HB engineering preparatory classes

INP-HB / DECO

Free 100-question English MCQ study bank for Bac Série C Côte d'Ivoire. Official exam: French written problem sets in advanced maths and physics; pass with ≥200/400. Not an official-format simulation.

Sample Bac Série C Côte d'Ivoire Practice Questions

Try these sample questions to review concepts for the Bac Série C Côte d'Ivoire 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 f(x) = (e^(2x) - 1) / sin(3x) as x approaches 0?
A.2/3
B.3/2
C.0
D.1
Explanation: As x -> 0, both numerator and denominator approach 0. Using standard derivative limits: lim_{x->0} (e^(2x) - 1)/x = 2 and lim_{x->0} sin(3x)/x = 3. Therefore, lim_{x->0} (e^(2x) - 1)/sin(3x) = [lim_{x->0} (e^(2x) - 1)/x] / [lim_{x->0} sin(3x)/x] = 2/3.
2Let f(x) = ln(x^2 + 1). What is the equation of the tangent line (T) to the curve of f at the point of abscissa x_0 = 1?
A.y = x + ln(2) - 1
B.y = 2x + ln(2) - 2
C.y = x + ln(2)
D.y = (1/2)x + ln(2) - 1/2
Explanation: The equation of the tangent line at x_0 = 1 is y = f'(1)(x - 1) + f(1). First, f(1) = ln(1^2 + 1) = ln(2). The derivative is f'(x) = 2x / (x^2 + 1), so f'(1) = 2(1) / (1 + 1) = 1. Thus, y = 1*(x - 1) + ln(2) = x + ln(2) - 1.
3Evaluate the definite integral I = ∫[1 to e] x * ln(x) dx using integration by parts.
A.(e^2 + 1) / 4
B.(e^2 - 1) / 4
C.(3e^2 + 1) / 4
D.(e^2 + 1) / 2
Explanation: Using integration by parts: let u(x) = ln(x) => u'(x) = 1/x, and v'(x) = x => v(x) = x^2 / 2. Then I = [ (x^2 / 2) * ln(x) ]_1^e - ∫[1 to e] (x^2 / 2) * (1/x) dx = (e^2 / 2 * 1 - 0) - ∫[1 to e] (x / 2) dx = e^2 / 2 - [ x^2 / 4 ]_1^e = e^2 / 2 - (e^2 / 4 - 1/4) = e^2 / 4 + 1/4 = (e^2 + 1) / 4.
4Calculate the integral J = ∫[0 to π/4] tan(x) / (cos^2(x)) dx.
A.1/2
B.1
C.ln(2) / 2
D.√2 / 2
Explanation: Notice that (tan(x))' = 1 / cos^2(x). Let u = tan(x), then du = dx / cos^2(x). When x = 0, u = 0; when x = π/4, u = 1. Therefore, J = ∫[0 to 1] u du = [u^2 / 2]_0^1 = 1/2.
5Find the unique solution to the differential equation y' + 3y = 0 satisfying the initial condition y(0) = 5.
A.y(x) = 5 e^(-3x)
B.y(x) = 5 e^(3x)
C.y(x) = -3 e^(5x)
D.y(x) = 5 e^(-x/3)
Explanation: The general solution to the first-order linear homogeneous ODE y' + ay = 0 is y(x) = C * e^(-ax). Here a = 3, so y(x) = C * e^(-3x). Using y(0) = 5 gives C * e^0 = 5 => C = 5. Hence, y(x) = 5 e^(-3x).
6Solve the second-order differential equation y'' + 16y = 0 with initial conditions y(0) = 2 and y'(0) = 4.
A.y(x) = 2 cos(4x) + sin(4x)
B.y(x) = 2 cos(16x) + 4 sin(16x)
C.y(x) = 2 cos(4x) + 4 sin(4x)
D.y(x) = cos(4x) + 2 sin(4x)
Explanation: The characteristic equation is r^2 + 16 = 0, giving r = ±4i (ω = 4). The general solution is y(x) = A cos(4x) + B sin(4x). Using y(0) = 2 => A = 2. The derivative is y'(x) = -4A sin(4x) + 4B cos(4x). Using y'(0) = 4 => 4B = 4 => B = 1. Therefore, y(x) = 2 cos(4x) + sin(4x).
7What is the solution to the differential equation y' - 2y = 6 satisfying y(0) = 1?
A.y(x) = 4 e^(2x) - 3
B.y(x) = e^(2x) + 3
C.y(x) = -2 e^(2x) + 3
D.y(x) = 4 e^(-2x) - 3
Explanation: The general solution to y' - 2y = 6 is y(x) = C e^(2x) + y_p. A particular constant solution y_p satisfies -2 y_p = 6 => y_p = -3. So y(x) = C e^(2x) - 3. Applying y(0) = 1 gives C - 3 = 1 => C = 4. Thus, y(x) = 4 e^(2x) - 3.
8A sequence (u_n) is defined by u_0 = 7 and u_{n+1} = (1/2) u_n + 3 for all n ≥ 0. Find the limit of (u_n) as n approaches infinity.
A.6
B.3
C.7
D.14
Explanation: Let L be the fixed point of the recurrence relation L = (1/2) L + 3. Solving gives (1/2) L = 3 => L = 6. Defining v_n = u_n - 6, we have v_{n+1} = u_{n+1} - 6 = (1/2) u_n + 3 - 6 = (1/2)(u_n - 6) = (1/2) v_n. Since |1/2| < 1, v_n -> 0 as n -> ∞, so u_n -> 6.
9Let (u_n) be defined by u_n = Σ[k=1 to n] 1 / (k(k+1)). What is the limit of u_n as n -> +∞?
A.1
B.1/2
C.2
D.+∞
Explanation: Using partial fraction decomposition: 1 / (k(k+1)) = 1/k - 1/(k+1). This is a telescoping sum: u_n = (1 - 1/2) + (1/2 - 1/3) + ... + (1/n - 1/(n+1)) = 1 - 1/(n+1). As n -> +∞, 1/(n+1) -> 0, so lim u_n = 1.
10Calculate the infinite sum S = Σ[n=0 to ∞] 3 * (2/5)^n.
A.5
B.15/2
C.3/5
D.10/3
Explanation: This is a geometric series with first term a = 3 and common ratio q = 2/5. Since |q| < 1, the sum is S = a / (1 - q) = 3 / (1 - 2/5) = 3 / (3/5) = 3 * (5/3) = 5.

About the Bac Série C Côte d'Ivoire Exam

Série C is Côte d'Ivoire's elite mathematical and physical science Baccalauréat track. It is the primary springboard for admission to Classes Préparatoires aux Grandes Écoles (CPGE) at INP-HB Yamoussoukro, top engineering schools, medical schools, and international STEM universities. Official examinations demand rigorous multi-step problem solving, proofs, and experimental analysis in French. This bank provides 100 English-language MCQs with full step-by-step mathematical and physical derivations.

Exam sponsor: Direction des Examens et Concours (DECO) / Ministère de l'Éducation Nationale, de l'Alphabétisation et de l'Enseignement Technique (MENAET). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written papers in Mathématiques (coeff 5 or 6), Physique-Chimie (coeff 5 or 6), SVT (coeff 2), Français (coeff 3), Philosophie (coeff 2), Histoire-Géographie (coeff 2), and Anglais (coeff 2), plus EPS and oral tests.

Time Limit

Multi-day examination session (written papers held in June/July over 4 to 5 days, preceded by oral and physical tests).

Passing Score

Graded out of 400 total points; admission requires at least 200/400 (a 10/20 weighted average). Official candidates in Série C scoring 160–199 may be repêchés by the jury if they reach the pass mark in one matière spécifique and hold an annual school average (moyenne générale annuelle) of at least 10/20.

Exam / Certification Fees

5,000 FCFA (official candidate registration fee via TrésorPay/TrésorMoney; optional subjects +1,000 FCFA each)

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.

Study emphasis ~35%

Advanced Mathematics

Functions, derivatives, integration, differential equations, sequences, complex numbers, matrices, arithmetic in Z, vector spaces, and probability.

Study emphasis ~25%

Physics

Newtonian dynamics, projectile motion, electromagnetic induction, RLC circuits, wave mechanics, atomic physics, and optics.

Study emphasis ~15%

Chemistry

Reaction rates, pH and buffer solutions, volumetric titrations, esterification, saponification, amines, and amino acids.

Study emphasis ~10%

Life & Earth Sciences (SVT)

Genetic transmission, molecular genetics, nervous system, and reproductive biology.

Study emphasis ~15%

General & Humanities Subjects

Philosophy (epistemology, reason, truth), French literary commentary, and scientific English.

Preparing for the Bac Série C Côte d'Ivoire Exam

What You Need to Know

  • Passing score: Graded out of 400 total points; admission requires at least 200/400 (a 10/20 weighted average). Official candidates in Série C scoring 160–199 may be repêchés by the jury if they reach the pass mark in one matière spécifique and hold an annual school average (moyenne générale annuelle) of at least 10/20.
  • Assessment: Written papers in Mathématiques (coeff 5 or 6), Physique-Chimie (coeff 5 or 6), SVT (coeff 2), Français (coeff 3), Philosophie (coeff 2), Histoire-Géographie (coeff 2), and Anglais (coeff 2), plus EPS and oral tests.
  • Time limit: Multi-day examination session (written papers held in June/July over 4 to 5 days, preceded by oral and physical tests).
  • Exam / certification fees: 5,000 FCFA (official candidate registration fee via TrésorPay/TrésorMoney; optional subjects +1,000 FCFA each) 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

Bac Série C Côte d'Ivoire: Suggested Study Strategy

1Master calculus techniques: integration by parts, variable changes, and first/second order differential equations.
2Work out full solutions for RLC oscillating circuits, energy conservation, and projectile trajectory equations.
3Review organic reaction mechanisms and titration equivalence point calculations.
4Do not sacrifice French and Philosophy; consistent performance across all papers secures high honours (Mentions).

Frequently Asked Questions

Is the official Bac Série C multiple-choice?

No. The official exam is composed of comprehensive written problem sets and long-form calculations in French. This bank is an English MCQ study adaptation.

How does Série C compare to Série D in Côte d'Ivoire?

Série C prioritizes deep theoretical mathematics and physics-chemistry with higher coefficients (5 or 6 each), whereas Série D balances mathematics and physics with life and earth sciences (SVT) at coefficient 4.

What is the pass mark for Série C?

The minimum passing total is 200 points out of 400 (a 10/20 overall weighted average).