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Free Practice Questions for Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 2026)

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Key Facts: Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 2026) Exam

90 min

Official PAU Technology and Engineering II exam duration

Tribunal PAU Universidad de Castilla-La Mancha

EUR 52.99

Ordinary registration fee for the Access Phase

Universidad de Castilla-La Mancha (UCLM)

0–10

Grading scale (minimum 4.0 to be weighted)

Normativa PAU UCLM

5 Blocks

Materials, Thermodynamics, Fluid Power, Control/Logic, and Robotics/Manufacturing

Temario Oficial 2º Bachillerato UCLM

100

Practice questions in this assessment bank

OpenExamPrep

Prepare for the UCLM 2026 PAU Technology and Engineering II exam with 100 high-quality practice questions covering materials, thermodynamics, fluid power, logic/control systems, and manufacturing robotics. This English-language multiple-choice bank is a study adaptation of the official written PAU paper, not a replica of it.

Sample Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 2026) Practice Questions

Try these sample questions to review concepts for the Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 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 bar with an initial diameter of 10 mm is subjected to a static axial tensile load of 20 kN. What is the normal tensile stress (σ) induced in the cross-section of the specimen?
A.254.65 MPa
B.63.66 MPa
C.200.00 MPa
D.636.62 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 20 kN to 20,000 N: σ = 20,000 N / 78.54 mm² = 254.65 N/mm² = 254.65 MPa.
2A metal structural rod with an original gauge length of 250 mm elongates by 0.5 mm under an axial tensile force within its elastic limit. What is the engineering unit strain (ε) of the rod?
A.0.02 (2.0%)
B.0.002 (0.2%)
C.0.0005 (0.05%)
D.0.005 (0.5%)
Explanation: Engineering unit strain is defined as ε = ΔL / L0. Dividing the elongation by initial length: ε = 0.5 mm / 250 mm = 0.002, which corresponds to 0.2%.
3During a tensile test within the elastic region, a metallic specimen experiences a tensile stress of 420 MPa and a strain of 0.002. What is the Young's modulus (modulus of elasticity, E) of the material?
A.420 GPa
B.84 GPa
C.210 GPa
D.21 GPa
Explanation: According to Hooke's Law (σ = E · ε), Young's modulus is E = σ / ε = 420 MPa / 0.002 = 210,000 MPa = 210 GPa.
4In the standard Brinell hardness test formula HB = 2P / [π · D · (D - √(D² - d²))], what do the parameters P, D, and d represent?
A.P is applied load in N, D is indentation depth in mm, and d is indenter radius in mm.
B.P is penetration depth in mm, D is ball diameter in mm, and d is applied load in N.
C.P is hydraulic pressure in bar, D is specimen diameter in mm, and d is ball diameter in mm.
D.P is applied load in kgf, D is hard steel ball diameter in mm, and d is indentation diameter in mm.
Explanation: In the Brinell test (HB), P represents the applied test load in kilograms-force (kgf), D is the spherical indenter diameter in millimeters (mm), and d is the arithmetic mean diameter of the spherical impression left on the material surface in millimeters (mm).
5A Charpy impact test is performed on a notched specimen with a cross-sectional area at the notch of S = 0.8 cm². The pendulum absorbs 60 J of energy upon breaking the specimen. What is the impact toughness (resilience, KCV)?
A.75 J/cm²
B.48 J/cm²
C.7.5 J/cm²
D.120 J/cm²
Explanation: Charpy impact toughness (resilience) is calculated as KCV = E_absorbed / S. Substituting the given values: KCV = 60 J / 0.8 cm² = 75 J/cm².
6In the equilibrium iron-carbon (Fe-Fe3C) phase diagram, what carbon mass percentage conventionally separates carbon steels (aceros) from cast irons (fundiciones)?
A.0.77% C
B.2.11% C
C.4.30% C
D.0.022% C
Explanation: In the Fe-Fe3C phase diagram, alloys containing up to 2.11% C by weight are classified as steels (aceros), whereas ferrous alloys with carbon concentrations between 2.11% and 6.67% C are classified as cast irons (fundiciones).
7A cylindrical steel tie rod with a diameter of 12 mm is subjected to tension. If the steel has a yield strength (σy) of 350 MPa, what is the maximum tensile force the rod can withstand without permanent plastic deformation?
A.126.65 kN
B.50.89 kN
C.39.58 kN
D.12.67 kN
Explanation: To avoid permanent deformation, the load must not exceed yield force Fy = σy · A0. The cross-sectional area is A0 = π · (12 mm)² / 4 = 113.10 mm². Fy = 350 N/mm² · 113.10 mm² = 39,584.1 N ≈ 39.58 kN.
8A Brinell hardness test is conducted using a 10 mm diameter steel ball indenter under a load of 3000 kgf. The diameter of the resulting indentation is measured as 4.0 mm. What is the Brinell Hardness number (HB)?
A.312.4 HB
B.238.7 HB
C.189.5 HB
D.228.7 HB
Explanation: Brinell hardness formula: HB = 2P / [π · D · (D - √(D² - d²))]. Substituting P = 3000 kgf, D = 10 mm, d = 4.0 mm: √(D² - d²) = √(100 - 16) = √84 = 9.16515 mm. Then (D - √(D² - d²)) = 10 - 9.16515 = 0.83485 mm. HB = 6000 / [π · 10 · 0.83485] = 6000 / 26.2274 = 228.77 HB ≈ 228.7 HB.
9A Charpy pendulum hammer of mass m = 20 kg is released from a height of h1 = 1.5 m. After fracturing a V-notched specimen with a notch cross-section of S = 0.8 cm², the hammer rises to a height of h2 = 0.6 m. Taking g = 9.8 m/s², calculate the impact toughness (resilience, KCV) of the material.
A.220.5 J/cm²
B.367.5 J/cm²
C.147.0 J/cm²
D.176.4 J/cm²
Explanation: Energy absorbed by specimen: E = m · g · (h1 - h2) = 20 kg · 9.8 m/s² · (1.5 m - 0.6 m) = 196 N · 0.9 m = 176.4 J. Impact resilience KCV = E / S = 176.4 J / 0.8 cm² = 220.5 J/cm².
10A binary alloy composed of components A and B contains 40% of B overall. At temperature T1, the alloy separates into a solid phase α containing 10% B and a liquid phase L containing 60% B. Applying the lever rule (regla de la palanca), what is the mass fraction of the solid phase α?
A.60.0%
B.40.0%
C.50.0%
D.33.3%
Explanation: According to the lever rule, the mass fraction of solid phase α is f_α = (w_L - w_0) / (w_L - w_α), where w_0 = 40%, w_L = 60%, and w_α = 10%. f_α = (60 - 40) / (60 - 10) = 20 / 50 = 0.40 = 40.0%.

About the Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 2026) Exam

Comprehensive question bank for the Castilla-La Mancha PAU Technology and Engineering II exam (UCLM 2026). Includes 100 multiple-choice questions covering materials testing and metallurgy, thermal machines and cycles, pneumatic/hydraulic circuit sizing, digital logic circuits and control systems, and manufacturing robotics.

Exam sponsor: University of Castilla-La Mancha PAU Tribunal. 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 Castilla-La Mancha (UCLM 2026) tests 2º Bachillerato engineering competencies. It features 5 core topic areas: Material Properties, Testing & Metallurgy (20%), Thermodynamics, Heat Engines & Energy Systems (25%), Pneumatics, Hydraulics & Fluid Mechanics (20%), Automatic Control, Systems & Logic Circuits (20%), and Manufacturing Processes & Robotics (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 Access Phase >= 5.0 to pass).

Exam / Certification Fees

EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha).

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%

Material Properties, Testing & Metallurgy

Mechanical testing (tensile, Brinell/Vickers hardness, Charpy impact), stress-strain curves, Hooke's law, equilibrium phase diagrams, heat treatments (annealing, quenching, tempering), and material classification.

25%

Thermodynamics, Heat Engines & Energy Systems

First and Second Laws of Thermodynamics, Carnot efficiency, thermodynamic cycles (Otto, Diesel, Rankine), heat engines, heat pumps, refrigeration COP, and thermal insulation/conduction.

20%

Pneumatics, Hydraulics & Fluid Mechanics

Hydrostatic pressure, Pascal's principle, continuous flow equation, pneumatic cylinder force calculations (advance and retraction), directional valves, logic gates in fluid power, and schematics.

20%

Automatic Control, Systems & Logic Circuits

Boolean algebra, truth tables, Karnaugh maps, combinational logic circuits, block diagram reduction, open and closed loop control systems, transfer functions, transient response, and PID control.

15%

Manufacturing Processes & Robotics

Machining operations (turning, milling, drilling), casting, forming, industrial robotics morphology (degrees of freedom, kinematics), sensors, actuators, and computer integrated manufacturing (CIM).

Preparing for the Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 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 Access Phase >= 5.0 to pass).
  • Assessment: The PAU Technology and Engineering II exam for Castilla-La Mancha (UCLM 2026) tests 2º Bachillerato engineering competencies. It features 5 core topic areas: Material Properties, Testing & Metallurgy (20%), Thermodynamics, Heat Engines & Energy Systems (25%), Pneumatics, Hydraulics & Fluid Mechanics (20%), Automatic Control, Systems & Logic Circuits (20%), and Manufacturing Processes & Robotics (15%).
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha). 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

Castilla-La Mancha PAU Technology and Engineering II (Tecnología e Ingeniería II - UCLM 2026): Suggested Study Strategy

1Practice tensile test calculations (stress σ = F/A, strain ε = ΔL/L, Young's modulus E = σ/ε), Brinell hardness (HB), and Charpy impact energy.
2Solve thermal efficiency problems (Carnot η = 1 - Tc/Th), energy balances in Otto/Diesel cycles, and coefficients of performance (COP) of heat pumps and refrigerators.
3Calculate effective forces of pneumatic and hydraulic cylinders on extension (F = P · A) and retraction (F = P · (A - Ar)), accounting for mechanical efficiency and pressure losses.
4Master simplification of logic functions using Boolean algebra and 3- and 4-variable Karnaugh maps, as well as closed-loop transfer function calculation T(s) = G(s)/(1 + G(s)H(s)).
5Review machining operations by chip removal (turning, milling, drilling), cutting speed Vc = π·D·n / 1000, and the morphology of industrial robots (degrees of freedom, joint types).

Frequently Asked Questions

What is the duration of the Technology and Engineering II exam in the Castilla-La Mancha PAU?

The exam lasts 90 minutes (1.5 hours).

How is the exam graded and what is the minimum mark required in the UCLM PAU Access Phase?

It is graded from 0 to 10 points. A minimum of 4.0 points in the Access Phase is required to calculate the weighted average with Bachillerato (60% Bachillerato + 40% PAU >= 5.0).

What is the ordinary registration fee for the PAU at the Universidad de Castilla-La Mancha?

The ordinary registration fee set by UCLM for the Access Phase is EUR 52.99.

What are the 5 main topic blocks assessed?

1) Material Properties, Testing and Metallurgy (20%), 2) Thermodynamics, Heat Engines and Energy Systems (25%), 3) Pneumatics, Hydraulics and Fluid Mechanics (20%), 4) Automatic Control, Systems and Logic Circuits (20%), and 5) Manufacturing Processes and Robotics (15%).

Is this practice bank in the same format as the real Castilla-La Mancha PAU Tech & Eng II exam?

No. The official Castilla-La Mancha PAU Tech & Eng II paper is a 90-minute written examination in Spanish consisting of open-ended, semi-constructed, and short-answer questions — not multiple choice. This bank is an English-language multiple-choice adaptation designed to test and reinforce the core concepts and skills of the 2º Bachillerato curriculum.