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Key Facts: Senegal Baccalauréat Série S3 Exam
10/20
Minimum weighted average required for immediate admission (Premier Groupe)
Office du Baccalauréat du Sénégal
Coeff 8
Coefficient for Mathematics, Physical Sciences, and Mechanical Construction
Décret portant organisation du Baccalauréat
5,000 FCFA
Registration fee; optional papers cost an additional 1,000 FCFA each
Office du Baccalauréat — 2026 registration conditions
Sample Senegal Baccalauréat Série S3 Practice Questions
Try these sample questions to review concepts for the Senegal Baccalauréat Série S3 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1A simply supported horizontal beam of span L = 6 m carries a single concentrated vertical downward load F = 12 kN at its midpoint. Assuming self-weight is negligible, what is the vertical reaction force at each support?
A.6 kN at each support
B.12 kN at each support
C.3 kN at each support
D.24 kN at each support
Explanation: Due to structural symmetry and static equilibrium (sum of vertical forces = 0 and sum of moments = 0), the centered load divides equally between the two identical supports: R_A = R_B = F / 2 = 12 kN / 2 = 6 kN.
2A solid cylindrical tie rod with a cross-sectional area of A = 250 mm² is subjected to an axial tensile force of N = 50 kN. What is the nominal normal stress (sigma) developed in the rod?
A.20 MPa
B.200 MPa
C.50 MPa
D.500 MPa
Explanation: Normal stress is defined as sigma = N / A. Converting the axial force to newtons gives N = 50,000 N. Thus, sigma = 50,000 N / 250 mm² = 200 N/mm² = 200 MPa.
3In ISO limits and fits notation, what type of mechanical fit is designated by the standard combination 50 H7/g6?
A.Interference fit (press fit)
B.Transition fit with probable interference
C.Clearance fit (sliding or running fit)
D.Shrink fit requiring thermal expansion
Explanation: The hole tolerance 'H' has a fundamental deviation of zero (the lower deviation EI = 0). The shaft tolerance 'g' has an upper deviation es < 0 (fundamental deviation below the zero line). Therefore, the maximum shaft size is strictly smaller than the minimum hole size, guaranteeing a clearance fit.
4In spatial kinematics and mechanism theory, how many degrees of freedom does an ideal revolute joint (liaison pivot) eliminate between two solid bodies?
A.2 degrees of freedom
B.3 degrees of freedom
C.4 degrees of freedom
D.5 degrees of freedom
Explanation: In 3D space, an unrestrained rigid body possesses 6 degrees of freedom (3 translations and 3 rotations). A revolute joint allows only one relative rotation about its axis and prevents all 3 translations and the other 2 rotations, thereby eliminating 5 degrees of freedom.
5A standard spur gear has a module m = 2.5 mm and contains z = 36 teeth. What is the reference pitch diameter (d) of this gear?
A.90 mm
B.72 mm
C.95 mm
D.14.4 mm
Explanation: The reference pitch diameter of a standard spur gear is directly calculated using the formula d = m * z. Substituting the given values gives d = 2.5 mm * 36 = 90 mm.
6Within the linear elastic range of a material, which formula represents Hooke's Law relating normal stress (sigma), Young's modulus of elasticity (E), and longitudinal engineering strain (epsilon)?
A.sigma = E / epsilon
B.sigma = E * epsilon
C.sigma = epsilon / E
D.sigma = 0.5 * E * epsilon²
Explanation: Hooke's Law states that within the proportional elastic limit, normal stress is directly proportional to strain, expressed as sigma = E * epsilon, where E is the Young's modulus (modulus of elasticity).
7On an engineering technical drawing, what does the specification 'Ra = 3.2 µm' placed above a surface texture symbol represent?
A.Maximum peak-to-valley roughness height of 3.2 micrometers
B.Radial runout tolerance of 3.2 micrometers
C.Arithmetical mean deviation of the assessed surface profile equal to 3.2 micrometers
D.Root mean square roughness deviation Rq of 3.2 micrometers
Explanation: Ra denotes the arithmetical mean deviation of the assessed profile (rugosité arithmétique moyenne), which is the arithmetic average value of the absolute profile deviations from the mean line over the evaluation length.
8What is the primary operational function of a Woodruff key (clavette disque) in mechanical assembly?
A.Preventing relative axial translation while permitting free relative rotation
B.Eliminating backlash in high-torque heavy industrial driveshafts
C.Transmitting axial thrust forces between a housing and a shaft shoulder
D.Transmitting moderate rotational torque between a shaft and a hub while self-aligning on shaft tapers
Explanation: A Woodruff key is a semicircular disc key that fits into a matching semicylindrical keyway milled into a shaft. It transmits moderate torque while tilting slightly in its seat, making it particularly suitable for tapered shaft ends and easy disassembly.
9According to Coulomb's law of dry friction, what is the relationship between the coefficient of static friction (mu_s) and the friction angle (phi)?
A.mu_s = tan(phi)
B.mu_s = sin(phi)
C.mu_s = cos(phi)
D.mu_s = 1 / tan(phi)
Explanation: At the threshold of impending slip, the resultant contact force makes an angle phi with the normal to the contact plane such that the tangential friction force T = mu_s * N. Since tan(phi) = T / N, it follows directly that mu_s = tan(phi).
10A horizontal beam of span L is simply supported at both ends and subjected to a uniformly distributed load of intensity q (in N/m) across its entire length. What is the maximum bending moment (Mf_max) in the beam?
A.Mf_max = (q * L) / 2
B.Mf_max = (q * L²) / 8
C.Mf_max = (q * L²) / 4
D.Mf_max = (q * L³) / 12
Explanation: The support reactions are R_A = R_B = q * L / 2. Setting the shear force equation V(x) = R_A - q * x = 0 gives x = L / 2. The bending moment at this midspan section is Mf(L/2) = (q * L / 2) * (L / 2) - q * (L / 2)² / 2 = (q * L²) / 4 - (q * L²) / 8 = (q * L²) / 8.
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