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100+ Free Bac Techniques Mathématiques (Algeria) Practice Questions

Prepare for the Algerian Baccalauréat — Série Techniques Mathématiques (Mathematics & Technology Stream) exam with instant access — no signup required.

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2026 Statistics

Key Facts: Bac Techniques Mathématiques (Algeria) Exam

4 options

Civil, electrical, mechanical, or process engineering

Ministry of National Education timetable

7–11 June 2026

National written examination session dates

Official 2026 Examination Timetable

1 technology paper

Candidate sits the selected specialty option

Ministry of National Education timetable

1,500 DZD

Official registration fee for schooled candidates

Official Registration Directive

Free 100-question English MCQ study bank for the Algerian Baccalauréat Série Techniques Mathématiques. It covers common mathematics and physics plus clearly labeled material for all four engineering options. The official exam is constructed response; this is not an official translation or format simulation.

Sample Bac Techniques Mathématiques (Algeria) Practice Questions

Try these sample questions to test your Bac Techniques Mathématiques (Algeria) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the limit lim(x→+∞) (5x³ − 2x + 1) / (2x³ + 7x² − 4).
A.0
B.5/2
C.5/7
D.+∞
Explanation: For a rational function as x → +∞, the limit equals the limit of the ratio of the highest-degree terms: lim(x→+∞) (5x³)/(2x³) = 5/2. Factor out x³ from both numerator and denominator to see that lower-degree terms (2/x², 1/x³, 7/x, 4/x³) approach zero.
2What is the limit of the function f(x) = (eˣ − 2x) / (eˣ + 1) as x → +∞?
A.0
B.2
C.1
D.+∞
Explanation: Factoring out eˣ from the numerator and denominator yields f(x) = [1 − 2(x/eˣ)] / [1 + e⁻ˣ]. By standard growth hierarchies (croissances comparées), lim(x→+∞) (x/eˣ) = 0 and lim(x→+∞) e⁻ˣ = 0, giving (1 − 0)/(1 + 0) = 1.
3Let f(x) = x ln(x) − x be defined on ]0, +∞[. What is the equation of the tangent line to the curve of f at the point with abscissa x = 1?
A.y = -1
B.y = x - 1
C.y = x - 2
D.y = 0
Explanation: Differentiating gives f'(x) = 1·ln(x) + x·(1/x) − 1 = ln(x) + 1 − 1 = ln(x). At x = 1, the slope is f'(1) = ln(1) = 0 and the y-coordinate is f(1) = 1·0 − 1 = -1. The tangent line equation is y = f'(1)(x − 1) + f(1) = 0·(x − 1) − 1, which simplifies to the horizontal line y = -1.
4Consider the function f(x) = (ln x)² − ln x defined on ]0, +∞[. At which abscissa does the curve of f possess an inflection point?
A.x = e
B.x = √e
C.x = e²
D.x = e^(3/2)
Explanation: The first derivative is f'(x) = [2 ln(x) − 1] / x. Differentiating again using the quotient rule gives f''(x) = [(2/x)·x − (2 ln(x) − 1)·1] / x² = [3 − 2 ln(x)] / x². Setting f''(x) = 0 yields 3 − 2 ln(x) = 0, so ln(x) = 3/2, which gives x = e^(3/2) where f''(x) changes sign from positive to negative.
5Consider the polynomial function f(x) = x³ + 3x − 5 on the interval [1, 2]. Which condition guarantees that the equation f(x) = 0 has a unique solution on [1, 2]?
A.f is continuous and strictly increasing on [1, 2], with f(1) = -1 < 0 and f(2) = 9 > 0
B.f is continuous on [1, 2] and f'(x) changes sign between x = 1 and x = 2
C.f(1) and f(2) have the same sign, which guarantees an even number of solutions
D.f is a polynomial of degree 3, which must always have three real roots on [1, 2]
Explanation: f is continuous on [1, 2] and its derivative f'(x) = 3x² + 3 > 0 for all x ∈ ℝ, making f strictly increasing. Since f(1) = -1 < 0 and f(2) = 9 > 0, the Intermediate Value Theorem and strict monotonicity together prove that f(x) = 0 has exactly one unique real root in ]1, 2[.
6What is the exact value of the definite integral I = ∫₁ᵉ x ln(x) dx?
A.(e² − 1) / 2
B.(e² − 1) / 4
C.(2e² + 1) / 4
D.(e² + 1) / 4
Explanation: Integrate by parts with u(x) = ln(x) ⇒ u'(x) = 1/x, and v'(x) = x ⇒ v(x) = x²/2. Then I = [(x²/2) ln(x)]₁ᵉ − ∫₁ᵉ (x²/2)(1/x) dx = (e²/2 · 1 − 0) − (1/2) [x²/2]₁ᵉ = e²/2 − (e² − 1)/4 = (2e² − e² + 1)/4 = (e² + 1)/4.
7Find the unique solution to the differential equation y' + 2y = 4 satisfying the initial condition y(0) = 5.
A.y(x) = 5e⁻²ˣ
B.y(x) = 3e⁻²ˣ + 2
C.y(x) = 2e⁻²ˣ + 3
D.y(x) = 3e²ˣ + 2
Explanation: The homogeneous solution is y_h(x) = C e⁻²ˣ. A particular constant solution to y' + 2y = 4 is y_p = 4/2 = 2. The general solution is y(x) = C e⁻²ˣ + 2. Applying y(0) = C + 2 = 5 gives C = 3, yielding y(x) = 3e⁻²ˣ + 2.
8What is the area of the plane region bounded by the curve y = e²ˣ, the x-axis, and the vertical lines x = 0 and x = ln(2)?
A.3/4
B.1
C.3/2
D.3
Explanation: Since e²ˣ > 0 on [0, ln 2], the area is given by the definite integral A = ∫₀^(ln 2) e²ˣ dx = [(1/2) e²ˣ]₀^(ln 2) = (1/2) [e^(2 ln 2) − e⁰]. Since e^(2 ln 2) = e^(ln 4) = 4 and e⁰ = 1, A = (1/2)(4 − 1) = 3/2 area units.
9What is the general solution of the second-order linear differential equation y'' + 9y = 0 on ℝ, where A and B are real constants?
A.y(x) = A e³ˣ + B e⁻³ˣ
B.y(x) = (Ax + B) e³ˣ
C.y(x) = A cos(3x) + B sin(3x)
D.y(x) = A cos(9x) + B sin(9x)
Explanation: The characteristic equation is r² + 9 = 0, which has pure imaginary roots r = ±3i. For complex roots α ± iβ with α = 0 and β = 3, the general real solution is y(x) = e^(0x) [A cos(3x) + B sin(3x)] = A cos(3x) + B sin(3x).
10Let f(x) = (2x² + 5x + 1) / (x + 1) defined for x ≠ -1. What is the equation of the oblique asymptote to the curve of f at ±∞?
A.y = 2x + 3
B.y = 2x + 5
C.y = 2x - 1
D.y = x + 2
Explanation: Perform polynomial long division: 2x² + 5x + 1 = (x + 1)(2x + 3) − 2. Thus f(x) = 2x + 3 − 2/(x + 1). Since lim(x→±∞) [-2/(x + 1)] = 0, the line y = 2x + 3 is an oblique asymptote to the curve of f at both +∞ and -∞.

About the Bac Techniques Mathématiques (Algeria) Exam

The Série Techniques Mathématiques (Mathematics & Technology Stream) of the Algerian Baccalauréat is the premier technical and engineering secondary school-leaving credential in Algeria. Administered nationwide by ONEC every June, it prepares students for National Polytechnic Schools (ENP), Higher National Schools of Technology (ENST), universities of science and technology (e.g., USTHB, USTO), and preparatory classes (CPST). Candidates take rigorous common written papers in Mathematics and Physics-Chemistry alongside a dedicated 4-hour written paper in their elected engineering technology specialty: Génie Civil (Civil Engineering), Génie Électrique (Electrical Engineering), Génie Mécanique (Mechanical Engineering), or Génie des Procédés (Process Engineering). Note: This practice collection is an English-language MCQ study adaptation designed for self-assessment and core syllabus review; it is neither an official translation nor a format simulation of the constructed-response examination.

Assessment

Five-day national written session administered by ONEC from 7–11 June 2026. The official timetable includes mathematics, physics-chemistry, one selected technology paper (civil, electrical, mechanical, or process engineering), Arabic, French, English, philosophy, history-geography, Islamic sciences, and Tamazight where applicable. This bank labels all four technology options and is an English-language MCQ study adaptation, not an official translation or format simulation.

Time Limit

5-day national written examination session held 7–11 June 2026; paper durations vary by subject and selected technology option.

Passing Score

No current pass mark was published in the official 2026 sources reviewed.

Exam Fee

1,500 DZD (schooled candidates). Free candidates without prior Bac: 3,000 DZD (attempts 1–2), 5,000 DZD (attempt 3), 10,000 DZD (attempt 4), 20,000 DZD (attempt 5+). Free candidates with prior Bac: 5,000 DZD (attempt 2), 10,000 DZD (attempt 3), 20,000 DZD (attempt 4+). (Office National des Examens et Concours (ONEC) / Ministère de l'Éducation Nationale)

Bac Techniques Mathématiques (Algeria) Exam Content Outline

Study emphasis ~30%

Common Mathematics

Analysis (limits, derivatives, integrals, logarithmic and exponential functions), numerical sequences and proof by induction, complex numbers, probability and combinatorics, and 3D coordinate geometry in space.

Study emphasis ~25%

Common Physics & Chemistry

Newtonian mechanics, rotational dynamics, work and mechanical energy, RC, RL, and RLC electric circuits, nuclear decay and binding energy, chemical reaction kinetics, and acid-base equilibria.

Specialty option ~9%

Civil Engineering Specialty (Génie Civil)

Structural mechanics, statically determinate trusses (method of joints and sections), beam bending, shear force and bending moment diagrams, reinforced concrete limit states, topography, and soil mechanics.

Specialty option ~9%

Electrical Engineering Specialty (Génie Électrique)

Combinational and sequential logic, flip-flops, registers, GRAFCET automation design, operational amplifiers, three-phase balanced AC systems, DC and asynchronous electric motors, and industrial sensors.

Specialty option ~9%

Mechanical Engineering Specialty (Génie Mécanique)

Kinematics of planar mechanisms, gear trains and speed transmission ratios, static equilibrium of mechanical systems, ISO limits, fits and geometric tolerances, and engineering materials stress-strain behavior.

Specialty option ~8%

Process Engineering Specialty (Génie des Procédés)

Chemical reaction engineering (batch and continuous reactors, mass balances, conversion and yield), chemical thermodynamics (reaction enthalpy and Hess's law), organic synthesis, petroleum refining, and polymers.

Study emphasis ~10%

General Core Subjects

Arabic literature, French and English technical and argumentative reading comprehension, 20th-century Algerian liberation history, economic geography, and philosophy.

How to Pass the Bac Techniques Mathématiques (Algeria) Exam

What You Need to Know

  • Passing score: No current pass mark was published in the official 2026 sources reviewed.
  • Assessment: Five-day national written session administered by ONEC from 7–11 June 2026. The official timetable includes mathematics, physics-chemistry, one selected technology paper (civil, electrical, mechanical, or process engineering), Arabic, French, English, philosophy, history-geography, Islamic sciences, and Tamazight where applicable. This bank labels all four technology options and is an English-language MCQ study adaptation, not an official translation or format simulation.
  • Time limit: 5-day national written examination session held 7–11 June 2026; paper durations vary by subject and selected technology option.
  • Exam fee: 1,500 DZD (schooled candidates). Free candidates without prior Bac: 3,000 DZD (attempts 1–2), 5,000 DZD (attempt 3), 10,000 DZD (attempt 4), 20,000 DZD (attempt 5+). Free candidates with prior Bac: 5,000 DZD (attempt 2), 10,000 DZD (attempt 3), 20,000 DZD (attempt 4+).

Keys to Passing

  • 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 Techniques Mathématiques (Algeria) Study Tips from Top Performers

1Prioritize Mathématiques and Physique-Chimie alongside your chosen Technologie specialty, while following the official timetable and your school's stream-specific preparation plan.
2In Mathematics, practice comprehensive function study (variation tables, asymptotes, intermediate value theorem, concavity, and definite integrals with integration by parts) and master complex numbers geometric transformations (translations, rotations, homotheties).
3In Physics, master Newton's second law applications on inclined planes and circular orbits, capacitor charging/discharging differential equations, and radioactive half-life calculations.
4For Civil Engineering students: practice resolving statically determinate planar trusses using the method of joints and method of sections (Ritter method), and ensure fluency in establishing shear force V(x) and bending moment M(x) equations.
5For Electrical Engineering students: practice converting sequential logic specifications into GRAFCET level 1 and level 2 charts, analyzing operational amplifier active circuits (inverting, non-inverting, summing, and comparators), and calculating active and reactive power in balanced three-phase systems.
6For Mechanical Engineering students: master kinematic velocity composition, gear train transmission ratios (including compound trains and planetary gear epicyclic systems), and ISO fit tolerances (clearance, transition, interference).
7For Process Engineering students: drill continuous stirred-tank (CSTR) and tubular plug-flow (PFR) material balances, Hess's law enthalpy of reaction calculations, and polymer addition/condensation reaction mechanisms.
8Do not sacrifice the general core subjects (Arabic, French, English, History-Geography, Philosophy): earning solid marks in these subjects provides the safety margin needed to secure a high overall average.

Frequently Asked Questions

Does every candidate in Série Techniques Mathématiques sit all four engineering specialty papers?

No. Each candidate specializes in exactly one of four sub-tracks: Génie Civil, Génie Électrique, Génie Mécanique, or Génie des Procédés, and sits only the corresponding technology paper. This study adaptation includes clearly labeled questions for all four options so candidates can select the relevant material.

Is the official Algerian Baccalauréat Série Techniques Mathématiques a multiple-choice exam?

No. The official Algerian Baccalauréat is entirely paper-based and constructed-response. In mathematics and physics-chemistry, candidates write step-by-step proofs, compute limits, integrals, and equations of motion, and analyze circuit graphs. In the engineering technology paper, students analyze technical drawings, calculate structural loads or gear ratios, write GRAFCET automation diagrams, or design chemical reactors. This question bank is an English-language MCQ study adaptation created to test foundational conceptual and quantitative problem-solving skills.

What are the examination dates and published passing requirements for the 2026 session?

The official written session runs nationwide from 7 to 11 June 2026. The current official 2026 sources reviewed did not publish a pass mark, so this study page does not state one.

What are the official registration fees for the Baccalauréat?

Schooled candidates (candidats scolarisés) pay an administrative registration fee of 1,500 DZD. Independent candidates (candidats libres) pay tiered fees based on their Bac history and number of attempts: free candidates without a prior Bac pay 3,000 DZD (attempts 1–2), 5,000 DZD (attempt 3), 10,000 DZD (attempt 4), and 20,000 DZD (attempt 5+); free candidates who already hold a Baccalauréat pay 5,000 DZD (attempt 2), 10,000 DZD (attempt 3), and 20,000 DZD (attempt 4+).

Why are these practice questions presented in English?

The official Algerian Baccalauréat papers are presented in Arabic for Arabic, philosophy, history-geography, and Islamic sciences, and in Arabic/French for scientific and technical subjects (or French and English in foreign languages). This OpenExamPrep bank is an English-language study adaptation designed to help international students, diaspora learners, and Algerian students preparing for English-medium STEM university studies review the curriculum concepts.