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Key Facts: Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026) Exam

90 min

Duración oficial del examen escrito de PAU Tecnología e Ingeniería II en Extremadura

Comisión Organizadora de la PAU de Extremadura / UEx

EUR 78.26

Tasa ordinaria de inscripción en la PAU de Extremadura

Universidad de Extremadura (UEx)

0–10

Escala de calificación (mínimo 4.0 en Fase de Acceso para hacer media)

Normativa PAU Extremadura

5 Bloques

Materiales, Termodinámica, Mecánica/Fluídica, Electrónica Digital y Control Automático

Decreto de Currículo de 2º Bachillerato de Extremadura

100

Preguntas cuantitativas y conceptuales de práctica en este banco

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Prepare for the UEx 2026 PAU Technology and Engineering II exam with 100 high-quality practice questions covering materials testing, thermodynamics, fluid power, digital electronics, and control systems.

Sample Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026) Practice Questions

Try these sample questions to review concepts for the Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A cylindrical steel test specimen with an initial diameter of 10 mm is subjected to a static axial tensile load of 15 kN. What is the normal tensile stress (σ) induced in the cross-section of the specimen?
A.190.99 MPa
B.47.75 MPa
C.150.00 MPa
D.477.46 MPa
Explanation: Normal tensile stress is given by σ = F / A0. The initial cross-sectional area is A0 = π · d² / 4 = π · (10 mm)² / 4 = 78.54 mm². Converting 15 kN to 15,000 N: σ = 15,000 N / 78.54 mm² = 190.99 N/mm² = 190.99 MPa.
2A metal structural rod with an original gauge length of 200 mm elongates by 0.4 mm under an axial tensile load within its elastic region. What is the engineering unit strain (ε) of the rod?
A.0.02 (2.0%)
B.0.002 (0.2%)
C.0.0004 (0.04%)
D.0.004 (0.4%)
Explanation: Engineering unit strain is defined as ε = ΔL / L0. Dividing elongation by original length: ε = 0.4 mm / 200 mm = 0.002, which equals 0.2%.
3During a tensile test within the elastic limit, a metallic alloy exhibits a tensile stress of 210 MPa and an engineering strain of 0.001. What is the Young's modulus (modulus of elasticity, E) of the alloy?
A.21 GPa
B.105 GPa
C.210 GPa
D.420 GPa
Explanation: According to Hooke's Law (σ = E · ε), Young's modulus is E = σ / ε = 210 MPa / 0.001 = 210,000 MPa = 210 GPa.
4In a Brinell hardness test, a hardened steel ball with diameter D = 10 mm is pressed into a metal sample under a load P = 3000 kgf, producing an indentation diameter d = 4.0 mm. What is the Brinell Hardness Number (HB)?
A.114.4 HB
B.150.0 HB
C.300.0 HB
D.228.8 HB
Explanation: Brinell hardness is HB = (2 · P) / [π · D · (D - √(D² - d²))]. Substituting values: √(100 - 16) = √84 = 9.16515 mm. Denominator = π · 10 · (10 - 9.16515) = 31.4159 · 0.83485 = 26.227 mm². HB = 6000 kgf / 26.227 mm² = 228.77 ≈ 228.8 HB.
5A standard Charpy impact test uses a pendulum hammer with an initial potential energy of 300 J. After fracturing a notched specimen of cross-sectional area 0.8 cm², the hammer rises to a residual energy height of 180 J. What is the impact toughness (resilience, KCU) of the material?
A.150 J/cm²
B.375 J/cm²
C.225 J/cm²
D.120 J/cm²
Explanation: Absorbed energy ΔE = E_initial - E_residual = 300 J - 180 J = 120 J. The impact toughness KCU is ΔE / A = 120 J / 0.8 cm² = 150 J/cm².
6Which heat treatment process involves heating steel above its critical transformation temperature (austenite range), holding it, and rapidly cooling (quenching) it in water or oil to achieve high hardness?
A.Annealing (Recocido)
B.Quenching (Temple)
C.Tempering (Revenido)
D.Normalizing (Normalizado)
Explanation: Quenching (temple) rapidly cools austenite to prevent equilibrium diffusion, trapping carbon in a supersaturated body-centered tetragonal structure known as martensite, which gives maximum hardness.
7A steel bar of diameter 12 mm and length 300 mm is pulled by a tensile force F = 24 kN. Given Young's modulus E = 200 GPa, what is the total elongation (ΔL) of the bar?
A.1.273 mm
B.0.159 mm
C.0.318 mm
D.0.637 mm
Explanation: Area A0 = π · (12)² / 4 = 113.10 mm². Normal stress σ = 24,000 N / 113.10 mm² = 212.21 MPa. Strain ε = σ / E = 212.21 MPa / 200,000 MPa = 0.001061. Elongation ΔL = ε · L0 = 0.001061 · 300 mm = 0.318 mm.
8During an axial tensile test, a cylindrical metal rod experiences a longitudinal strain ε_z = +0.0015 and a transverse diametral strain ε_x = -0.00045. What is the Poisson's ratio (ν) of the material?
A.0.45
B.0.33
C.0.25
D.0.30
Explanation: Poisson's ratio is defined as the negative ratio of transverse strain to axial strain: ν = - ε_transverse / ε_axial = - (-0.00045) / 0.0015 = 0.30.
9A steel railway track segment of initial length L0 = 20 m with coefficient of thermal expansion α = 12 × 10⁻⁶ /°C is fixed rigidly between unyielding abutments. If the temperature increases by ΔT = 50°C, what thermal compressive stress (σ) develops in the steel (E = 200 GPa)?
A.120 MPa
B.240 MPa
C.60 MPa
D.12 MPa
Explanation: Thermal strain prevented by rigid constraints is ε_th = α · ΔT = (12 × 10⁻⁶ /°C) · 50°C = 0.0006. Thermal stress is σ = E · ε_th = 200,000 MPa · 0.0006 = 120 MPa.
10An isotropic metal alloy has a Young's modulus E = 208 GPa and Poisson's ratio ν = 0.30. Using the elastic relationship G = E / [2(1 + ν)], what is the shear modulus (modulus of rigidity, G) of the alloy?
A.104 GPa
B.80 GPa
C.160 GPa
D.95 GPa
Explanation: Shear modulus G = E / [2(1 + ν)] = 208 GPa / [2 · (1 + 0.30)] = 208 / 2.60 = 80 GPa.

About the Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026) Exam

Comprehensive question bank for the Extremadura PAU Technology and Engineering II exam (UEx 2026). Includes 100 multiple-choice questions covering materials science and tensile testing, thermodynamics and heat engines, pneumatic/hydraulic systems, digital logic circuits, and automatic control systems.

Exam sponsor: Comisión Organizadora de la PAU de Extremadura (Universidad de Extremadura - UEx / Consejería de Educación de la Junta de Extremadura). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The PAU Technology and Engineering II exam for Extremadura (UEx 2026) is a 90-minute written examination testing 2º Bachillerato engineering competencies. It features 5 core topic areas: Materials Science & Tensile Testing (20%), Energetics & Thermodynamic Machines (25%), Mechanical Systems & Fluid Power (20%), Digital Electronics & Logic Gates (20%), and Automatic Control & Systems (15%).

Time Limit

90 minutes (1.5 hours)

Passing Score

Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).

Exam / Certification Fees

EUR 78.26 ordinary registration fee for PAU (50% discount EUR 39.13 for general large family; full exemption for special large family, disability, or terrorism victims).

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.

20%

Materials Science & Tensile Testing

Mechanical testing (tensile stress-strain, Hooke's law, Young's modulus, Brinell/Vickers hardness, Charpy impact test), equilibrium phase diagrams, iron-carbon alloys, and heat treatments (quenching, tempering, annealing).

25%

Energetics & Thermodynamic Machines

First and Second Laws of Thermodynamics, thermal efficiency, Carnot engines, heat engines (Otto, Diesel), heat pumps, refrigeration COP, solar radiation balance, and wind power calculations.

20%

Mechanical Systems & Fluid Power

Hydrostatic pressure, Pascal's principle, continuous flow, pneumatic cylinder force (advance/retraction), volumetric flow rate, gear trains, velocity ratios, and mechanical advantage.

20%

Digital Electronics & Logic Gates

Boolean algebra, logic gate combinations, truth tables, Karnaugh map minimization, combinational logic design, binary adders/multiplexers, and sequential logic (SR, D, JK flip-flops).

15%

Automatic Control & Systems

Open-loop vs closed-loop feedback systems, transfer functions, Laplace transforms, block diagram reduction, transient response, system stability, and industrial sensors/controllers (P, PI, PID).

Preparing for the Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026) Exam

What You Need to Know

  • Passing score: Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).
  • Assessment: The PAU Technology and Engineering II exam for Extremadura (UEx 2026) is a 90-minute written examination testing 2º Bachillerato engineering competencies. It features 5 core topic areas: Materials Science & Tensile Testing (20%), Energetics & Thermodynamic Machines (25%), Mechanical Systems & Fluid Power (20%), Digital Electronics & Logic Gates (20%), and Automatic Control & Systems (15%).
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 78.26 ordinary registration fee for PAU (50% discount EUR 39.13 for general large family; full exemption for special large family, disability, or terrorism victims). Official sources

Using Our Practice Resources

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Extremadura PAU Technology and Engineering II (Tecnología e Ingeniería II - UEx 2026): Suggested Study Strategy

1Practica los problemas cuantitativos del ensayo de tracción: tensión σ = F/A, deformación ε = ΔL/L0, módulo de elasticidad de Young E = σ/ε y coeficiente de Poisson ν.
2Calcula rendimientos térmicos teóricos y reales (Carnot η = 1 - Tc/Th), coeficientes de rendimiento (COP) en bombas de calor y refrigeradores, e irradiancia solar útil.
3Dimensiona cilindros neumáticos e hidráulicos determinando fuerzas de avance F_av = P · A y retorno F_ret = P · (A - A_v), consumo de aire a presión atmosférica y caudales Q = A · v.
4Simplifica expresiones algebraicas de Boole mediante leyes de De Morgan y mapas de Karnaugh de 3 y 4 variables, deduciendo el circuito lógico optimizado con puertas NAND/NOR.
5Obtén funciones de transferencia de sistemas en bucle cerrado M(s) = G(s) / (1 + G(s)H(s)), analiza la estabilidad frente a entradas escalón y el papel de reguladores P, PI y PID.

Frequently Asked Questions

¿Cuál es la duración del examen de Tecnología e Ingeniería II en la PAU de Extremadura?

La prueba escrita tiene una duración oficial de 90 minutos (1.5 horas).

¿Cómo se evalúa la prueba y cuál es la nota mínima requerida en Extremadura?

Se evalúa en la escala de 0 a 10 puntos. Se requiere una nota mínima de 4.0 en la Fase de Acceso para ponderar con la nota media de Bachillerato (60% Bachillerato + 40% PAU >= 5.0 para aprobar).

¿Cuál es la tasa ordinaria de matriculación de la PAU en la Universidad de Extremadura (UEx)?

La tasa ordinaria de inscripción es de 78,26 €. Existe una bonificación del 50% (39,13 €) para miembros de familia numerosa general, y exención total para familia numerosa especial, personas con discapacidad o víctimas del terrorismo.

¿Qué contenidos forman el programa oficial de Tecnología e Ingeniería II en 2º de Bachillerato de Extremadura?

Los contenidos abarcan 5 bloques principales: Ciencia de Materiales y Ensayos, Energética y Máquinas Térmicas, Sistemas Mecánicos y Neumática/Hidráulica, Electrónica Digital y Puertas Lógicas, y Sistemas de Control Automático.