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.

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100+ Free La Rioja PAU Tech & Engineering II (UR) Practice Questions

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2026 Statistics

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 test your La Rioja PAU Tech & Engineering II (UR) exam readiness. 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) Practice Questions

Verified exam format metadata for La Rioja PAU Technology and Engineering II / Tecnología e Ingeniería II (2026) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.

100+ Free La Rioja PAU Tech & Engineering II (UR) Practice Questions

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

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

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