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Key Facts: La Rioja PAU Tech & Engineering II (UR) Exam

90 Min

Exam duration for the PAU Technology & Engineering II paper

UR PAU 2026 Guidelines

0–10

Grading scale for PAU subject examinations

Universidad de La Rioja Access Guidelines

Min 4.0

Minimum mark required in Access Phase to combine with Bachillerato GPA

Universidad de La Rioja / PAU Commission

60 / 40

Weighting ratio between Bachillerato GPA (60%) and PAU Access Phase (40%)

Spanish University Entrance Regulations

55.43 €

Base PAU Access Phase registration fee

Gobierno de La Rioja / UR

100

Original practice questions in this OpenExamPrep study bank

OpenExamPrep

Prepare for the 2026 La Rioja PAU Technology & Engineering II exam (UR) with 100 practice questions covering materials science, Hooke's law, heat engines, pneumatic/hydraulic circuits, Boolean logic, control loops, and manufacturing processes.

Sample La Rioja PAU Tech & Engineering II (UR) Practice Questions

Try these sample questions to review concepts for the La Rioja PAU Tech & Engineering II (UR) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which mechanical property describes a material's ability to resist localized surface indentation or scratching?
A.Hardness
B.Toughness
C.Ductility
D.Elasticity
Explanation: Hardness is the measure of a material's resistance to surface indentation, penetration, or abrasion. Standard engineering tests include Brinell, Rockwell, and Vickers tests.
2According to Hooke's Law, what is the proportional relationship between stress (σ) and strain (ε) within a material's elastic limit?
A.σ = E · ε
B.σ = E / ε²
C.σ = E · ε²
D.σ = E + ε
Explanation: Hooke's Law states that within the elastic proportional limit, stress (σ) is directly proportional to strain (ε), where the constant of proportionality E is Young's modulus (modulus of elasticity).
3A steel bar with an initial cross-sectional area of 50 mm² experiences an axial tensile force of 10 kN. What is the normal stress induced in the bar?
A.200 MPa
B.20 MPa
C.2 MPa
D.2000 MPa
Explanation: Normal stress is σ = F / A₀. Converting force to Newtons: F = 10,000 N. Area A₀ = 50 mm². Therefore σ = 10,000 N / 50 mm² = 200 N/mm² = 200 MPa.
4Which heat treatment process involves heating steel into the austenitic region and rapidly quenching in water or oil to form martensite?
A.Hardening (Temple)
B.Annealing (Recocido)
C.Tempering (Revenido)
D.Normalizing (Normalizado)
Explanation: Hardening (temple) rapidly cools austenite to prevent diffusion, transforming the face-centered cubic structure into hard, brittle body-centered tetragonal martensite.
5What heat treatment is always performed immediately after hardening (temple) to reduce internal stresses and brittleness while restoring toughness?
A.Tempering (Revenido)
B.Quenching (Enfriamiento rápido)
C.Annealing (Recocido)
D.Spheroidizing (Esferoidización)
Explanation: Tempering (revenido) reheats martensitic steel between 150 °C and 650 °C to relieve internal stresses, improve toughness, and restore ductility at a slight expense of hardness.
6What is the theoretical maximum efficiency (Carnot efficiency) of a heat engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?
A.50%
B.25%
C.75%
D.100%
Explanation: Carnot efficiency is η_max = 1 - (T_C / T_H). Substituting temperatures: η = 1 - (300 / 600) = 1 - 0.5 = 0.50 or 50%.
7According to the First Law of Thermodynamics for a closed system, how is the change in internal energy (ΔU) related to heat added (Q) and work done by the system (W)?
A.ΔU = Q - W
B.ΔU = Q + W · T
C.ΔU = Q / W
D.ΔU = W - Q
Explanation: The First Law of Thermodynamics expresses energy conservation: ΔU = Q - W (where Q is heat added to the system and W is work done by the system on its surroundings).
8In a hydraulic press governed by Pascal's Law, a force F₁ = 100 N is applied to a small piston of area A₁ = 2 cm². What force F₂ is exerted by the larger piston of area A₂ = 20 cm²?
A.1000 N
B.100 N
C.200 N
D.500 N
Explanation: Pascal's Law states pressure is transmitted equally throughout a fluid: P = F₁/A₁ = F₂/A₂. Thus P = 100 N / 2 cm² = 50 N/cm². Force F₂ = P · A₂ = 50 N/cm² · 20 cm² = 1000 N.
9What is the force generated during extension by a single-acting pneumatic cylinder with a piston diameter corresponding to an area of 0.005 m² under a gauge pressure of 6 bar (600,000 Pa)?
A.3000 N
B.300 N
C.30 N
D.1200 N
Explanation: Force F = P · A. Pressure P = 6 bar = 600,000 Pa (N/m²). Area A = 0.005 m². Therefore F = 600,000 Pa · 0.005 m² = 3000 N.
10Which directional control valve designation indicates a valve with 3 ports and 2 switching positions?
A.3/2 valve
B.2/3 valve
C.5/2 valve
D.4/3 valve
Explanation: Directional valve notation is Ports / Positions. A 3/2 valve has 3 main pneumatic ports (e.g., supply, outlet, exhaust) and 2 distinct switching positions.

About the La Rioja PAU Tech & Engineering II (UR) Exam

The La Rioja PAU Technology and Engineering II exam (Tecnología e Ingeniería II) is organized and administered by Universidad de La Rioja (UR) and the Comisión Organizadora de la PAU de La Rioja. Based on the 2026 LOMLOE 2º Bachillerato curriculum, it evaluates upper secondary students on materials engineering, thermodynamics, fluid power (pneumatics and hydraulics), digital electronics, automatic control systems, and modern manufacturing technology.

Exam sponsor: Universidad de La Rioja (UR) / Comisión Organizadora de la PAU de La Rioja. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written 90-minute examination assessing engineering materials testing, thermodynamic cycles, pneumatic/hydraulic circuit design, digital logic gates, control system transfer functions, and manufacturing automation.

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 55.43 base registration fee for PAU Access Phase (set by Gobierno de La Rioja / UR).

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.

20%

Engineering Materials Science & Mechanical Testing

Stress-strain calculations, Hooke's law, tensile testing, hardness measurements (Brinell, Rockwell, Vickers), heat treatments (quenching, tempering, annealing), and degradation.

20%

Energy Systems, Thermodynamics & Thermal Engines

First and second laws of thermodynamics, heat engine efficiency, Carnot cycle, Otto/Diesel/Rankine thermodynamic cycles, and thermal power output.

20%

Pneumatic & Hydraulic Power Circuits

Fluid power principles, Pascal's law, continuity equation (Q = A · v), cylinder force (F = P · A), directional valves, and sequential logic fluid circuits.

15%

Digital Electronics, Boolean Algebra & Logic Gates

Binary numbers, Boolean algebraic simplification, logic gate truth tables, Karnaugh maps, combinational circuits, multiplexers, and flip-flops.

15%

Control Systems & Industrial Automation

Open vs closed-loop architecture, transfer functions, block diagram algebra, feedback stability, sensors, actuators, and PLC ladder logic.

10%

Manufacturing Processes & Industrial Production

Machining operation mechanics, metal casting, plastic forming, welding processes, additive manufacturing, CAD/CAM integration, and industrial safety.

Preparing for the La Rioja PAU Tech & Engineering II (UR) 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: Written 90-minute examination assessing engineering materials testing, thermodynamic cycles, pneumatic/hydraulic circuit design, digital logic gates, control system transfer functions, and manufacturing automation.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 55.43 base registration fee for PAU Access Phase (set by Gobierno de La Rioja / UR). 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

La Rioja PAU Tech & Engineering II (UR): Suggested Study Strategy

1Master mechanical stress-strain formulas (σ = F/A₀, ε = ΔL/L₀, E = σ/ε) and unit conversions (MPa, N/mm², Pa).
2Practice thermodynamic calculations for heat engines, Carnot efficiency η_max = 1 - (T_C / T_H) in Kelvin, and energy balance equations.
3Understand fluid mechanics and fluid power: Pascal's law, continuity Q = v · A, and effective pneumatic/hydraulic cylinder force calculation including piston rod reduction during retraction.
4Practice Karnaugh map (K-map) minimization and logic gate truth tables (AND, OR, NOT, NAND, NOR, XOR, XNOR).
5Learn control system block diagram reduction rules and closed-loop transfer function formulas G_cl(s) = G(s) / (1 + G(s)H(s)).

Frequently Asked Questions

Is this practice bank in the same format as the real La Rioja PAU exam?

No, and it is important to know the difference. The official La Rioja PAU paper is a 90-minute examination sat in Spanish featuring numerical problem-solving, schematic circuit analysis, block diagram reduction, and open technical development. Under the 2026 PAU design rules agreed by UR and CRUE, open and semi-constructed problem-solving must account for at least 70% of every paper, so the real exam contains no multiple-choice section. This bank is an English-language multiple-choice study adaptation of the same official 2º Bachillerato syllabus — not an official translation, not a past paper, and not a simulation of the exam format. Use it to drill core principles, formulas, circuit rules, and quantitative calculations quickly.

What is the format of the La Rioja PAU Technology & Engineering II exam?

The exam is a 90-minute written assessment composed of numerical problems (tensile testing, thermodynamic efficiency, hydraulic force, control loop transfer functions) and conceptual technical questions.

What passing score is required for university admission?

The exam is marked on a 0–10 scale. A minimum grade of 4.0 is required in the Access Phase to calculate the overall university entrance mark (60% Bachillerato GPA + 40% PAU Access Phase >= 5.0).

What registration fees apply for PAU in La Rioja?

The base registration fee for the PAU Access Phase set by Universidad de La Rioja / Gobierno de La Rioja is EUR 55.43.

Are non-programmable scientific calculators allowed during the exam?

Yes, non-programmable scientific calculators (without graphic display or symbolic algebraic capabilities) are permitted according to UR PAU Commission regulations.

What core calculation topics frequently appear on the exam?

Frequent calculations include tensile stress σ = F/A, strain ε = ΔL/L₀, Young's modulus E, Brinell hardness HB, thermal engine efficiency η, hydraulic cylinder force F = P · A, Boolean expression minimization, and control system transfer functions.