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Free Practice Questions for Castilla y León PAU Technology and Engineering II

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Key Facts: Castilla y León PAU Technology and Engineering II Exam

90 min

Exam Time Limit

Junta de Castilla y León

0–10

Grading Scale

USAL / UVA / UBU / ULE

4.0

Min. Access Phase Score

Comisión PAU Castilla y León

EUR 76.82

Base Registration Fee

Junta de Castilla y León

5 Core Units

Curriculum Content Areas

2º Bachillerato Technology & Engineering II Syllabus

The Castilla y León PAU Technology and Engineering II exam (Tecnología e Ingeniería II) is administered by public universities in Castilla y León (USAL, UVA, UBU, ULE) for students completing 2nd Bachillerato. The exam lasts 90 minutes and is graded on a 0–10 scale (minimum 4.0 required in the Access Phase). Note that local questions on this platform are an English-language MCQ study adaptation created to help students master the underlying 2nd Bachillerato curriculum.

Sample Castilla y León PAU Technology and Engineering II Practice Questions

Try these sample questions to review concepts for the Castilla y León PAU Technology and Engineering II exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What does Hooke's Law state for an engineering material operating within its elastic limit under uniaxial tension?
A.Stress is directly proportional to strain
B.Stress is inversely proportional to cross-sectional area squared
C.Strain is proportional to temperature change only
D.Stress is proportional to the square of plastic elongation
Explanation: Hooke's Law states that within the elastic limit, normal stress (sigma) is directly proportional to normal strain (epsilon), represented as sigma = E * epsilon, where E is Young's modulus of elasticity. Beyond the elastic limit, plastic deformation occurs and Hooke's Law no longer applies.
2Which indenter geometry is standard for measuring the Brinell hardness (HB) of metallic materials?
A.A hardened steel or tungsten carbide spherical ball
B.A 136-degree square-based diamond pyramid
C.A 120-degree diamond cone with a spherical tip
D.A sharp conical carbide chisel point
Explanation: The Brinell hardness test uses a spherical indenter made of hardened steel or tungsten carbide (typically 10 mm in diameter) pressed into the specimen under a specified load. The Vickers test uses a 136-degree diamond pyramid, and the Rockwell C test uses a 120-degree diamond cone.
3What primary material property is evaluated using the standard Charpy pendulum impact test?
A.Notch toughness and impact energy absorption
B.Electrical conductivity under cyclic loads
C.Surface scratch resistance
D.Creep strain rate at room temperature
Explanation: The Charpy impact test measures notch toughness, which is the amount of energy absorbed by a standardized notched specimen during high-rate dynamic fracture. It is essential for determining a metal's ductile-to-brittle transition temperature.
4What is the primary objective of an annealing (recocido) heat treatment in steel processing?
A.To relieve internal stresses, soften the metal, and increase ductility
B.To maximize surface hardness while creating a brittle core
C.To transform ferrite completely into un-tempered martensite
D.To induce galvanic corrosion resistance by rapid quenching in saltwater
Explanation: Annealing involves heating steel above its critical temperature, holding it, and slowly cooling it in the furnace. This process relieves internal stresses, refines the grain structure, reduces hardness, and increases ductility for easier machining or cold working.
5Under what condition does galvanic corrosion primarily occur between two metals?
A.When two metals with different electrode potentials are electrically connected in an electrolyte
B.When a single pure metal is exposed to dry vacuum at high temperature
C.When two identical metals are welded together using an identical filler metal
D.When a polymer coating is applied evenly across an aluminum plate
Explanation: Galvanic corrosion occurs when two electrochemically dissimilar metals are in direct electrical contact inside a conductive electrolyte (such as seawater or moisture). The more anodic metal corrodes preferentially while protecting the cathodic metal.
6How is elastic deformation distinguished from plastic deformation in material mechanical behavior?
A.Elastic deformation is fully reversible upon unloading, whereas plastic deformation is permanent
B.Elastic deformation increases specimen volume by 50%, whereas plastic deformation decreases mass
C.Elastic deformation occurs only after fracture, whereas plastic deformation occurs at zero stress
D.Elastic deformation applies to liquids only, while plastic deformation applies only to gases
Explanation: Elastic deformation involves temporary stretching of atomic bonds that returns to zero permanent set upon removing the load. Plastic deformation occurs when the yield strength is exceeded, causing permanent atomic slip and non-recoverable dimensional changes.
7A cylindrical steel bar with a cross-sectional diameter of 10 mm is subjected to a tensile axial force of 31.4 kN. What is the engineering normal stress induced in the bar?
A.400 MPa
B.100 MPa
C.314 MPa
D.40 MPa
Explanation: Cross-sectional area A = pi * (d/2)^2 = pi * (0.005 m)^2 = 7.854 * 10^-5 m^2. Engineering stress sigma = F / A = (31.4 * 10^3 N) / (7.854 * 10^-5 m^2) = 4.00 * 10^8 Pa = 400 MPa.
8A metal bar with an initial gauge length of L0 = 200 mm elongates by Delta L = 0.4 mm under an applied tensile load. What is the engineering strain (epsilon)?
A.0.002 (or 0.2%)
B.0.02 (or 2.0%)
C.0.0004 (or 0.04%)
D.0.5 (or 50%)
Explanation: Engineering strain is defined as the change in length divided by the initial length: epsilon = Delta L / L0 = 0.4 mm / 200 mm = 0.002, which corresponds to 0.2%.
9A structural steel rod exhibits a tensile stress of 210 MPa at an elastic strain of 0.001. What is the Young's modulus (E) of this steel?
A.210 GPa
B.21 GPa
C.2100 GPa
D.0.21 GPa
Explanation: According to Hooke's Law, E = sigma / epsilon = (210 * 10^6 Pa) / 0.001 = 210 * 10^9 Pa = 210 GPa. This is the standard elastic modulus value for structural steel.
10How is the Lever Rule applied on a binary phase diagram to determine phase mass fractions in a two-phase region?
A.The mass fraction of a phase is proportional to the length of the opposite tie-line segment divided by the total tie-line length
B.The mass fraction equals the temperature divided by the total liquidus slope angle
C.The mass fraction is calculated by multiplying the composition of the solidus by the cooling rate
D.The mass fraction equals the length of the adjacent tie-line segment divided by atmospheric pressure
Explanation: The Lever Rule uses an isothermal tie line across a two-phase field. The mass fraction of phase A is calculated by taking the length of the tie-line segment opposite to phase A (between overall composition C0 and phase B composition CB) divided by the total tie-line length (CB - CA).

About the Castilla y León PAU Technology and Engineering II Exam

The Castilla y León PAU Technology and Engineering II exam (Tecnología e Ingeniería II 2º Bachillerato) evaluates secondary school graduates across Castilla y León on core engineering principles including material testing and heat treatments, thermodynamic cycles and heat engines, pneumatic and hydraulic fluid power, automatic control systems and robotics, and digital electronics logic. Please note: The official PAU exam features written numerical and theoretical questions in Spanish; the 100 questions provided here are an English-language multiple-choice study adaptation designed for self-assessment and core concept mastery.

Exam sponsor: Universidades de Castilla y León (USAL, UVA, UBU, ULE) / Consejería de Educación de la Junta de Castilla y León. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

90-minute written examination (traditionally open-ended numerical and conceptual problems; local questions are an English-language MCQ study adaptation)

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 76.82 base registration fee for PAU Access Phase (plus EUR 10.33 per voluntary subject) set by Junta de Castilla y León.

Exam sponsor website

Reported exam pass rate: High (~85-95% PAU overall pass rate in Castilla y León). This describes exam candidates, not OpenExamPrep users or results from using our resources. 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 and Manufacturing Processes

Stress-strain relationships, Hooke's law, tensile testing, Young's modulus, elastic and plastic deformation, Brinell and Vickers hardness testing, Charpy impact test, fatigue, phase equilibrium diagrams (lever rule, cooling curves, Fe-C iron-carbon system), heat treatments (annealing, quenching, tempering), oxidation, corrosion, and manufacturing processes.

20%

Mechanical and Thermal Engineering Systems

First and second laws of thermodynamics, thermal expansion of solids and liquids, heat transfer mechanisms (conduction, convection, radiation), heat engines, Carnot efficiency limit, Otto, Diesel, and Rankine cycle calculations, heat pump coefficient of performance (COP), and thermal power.

20%

Pneumatics, Hydraulics, and Fluid Power

Hydrostatic pressure, Pascal's law, fluid dynamics (continuity equation Q=Av, volumetric flow rate), pneumatic and hydraulic cylinder force calculations (single and double acting, considering piston rod area and friction), directional control valves, logic valves (AND, OR, shuttle), pressure regulation, and fluid power circuit analysis.

20%

Control Systems and Robotics

Open-loop versus closed-loop control systems, transfer functions of linear systems, block diagram reduction, feedback control, system stability, sensors (temperature, optical, inductive, capacitive), actuators, relays, programmable logic controllers (PLC logic and ladder diagrams), and industrial robotics kinematics.

20%

Digital Electronics and Logic Systems

Binary, octal, and hexadecimal number systems, Boolean algebra laws and theorems, De Morgan's laws, truth tables, logic gates (AND, OR, NOT, NAND, NOR, XOR, XNOR), Karnaugh map minimization, combinational logic design (encoders, decoders, multiplexers, demultiplexers), and sequential logic circuits (SR, JK, D, T flip-flops).

Preparing for the Castilla y León PAU Technology and Engineering II 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: 90-minute written examination (traditionally open-ended numerical and conceptual problems; local questions are an English-language MCQ study adaptation)
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 76.82 base registration fee for PAU Access Phase (plus EUR 10.33 per voluntary subject) set by Junta de Castilla y León. 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 y León PAU Technology and Engineering II: Suggested Study Strategy

1Practice mechanical testing calculations for tensile stress, strain, Young's modulus, and Brinell hardness numbers.
2Master thermal efficiency formulas, Carnot limit calculations, and energy balance equations for heat engines and heat pumps.
3Solve fluid power cylinder force calculations (F = P × A) accounting for piston rod area and friction losses.
4Use Karnaugh maps systematically to minimize Boolean algebraic expressions to minimum sum-of-products form.
5Understand block diagram reduction rules and transfer function concepts for closed-loop control systems.

Frequently Asked Questions

What is the format of the official Castilla y León PAU Technology and Engineering II exam?

The official Castilla y León PAU Technology and Engineering II exam is a 90-minute written examination administered in Spanish, consisting of numerical calculation problems and structured technical questions. Note that the 100 questions available on this site are an English-language multiple-choice practice adaptation developed to help students test their knowledge of the official curriculum.

What is the passing score for Castilla y León PAU Technology and Engineering II?

The exam is graded on a 0–10 scale. In the Access Phase (Fase de Acceso), a minimum score of 4.0 is required to average with the Bachillerato GPA (which counts for 60% of the final university access score, while PAU counts for 40%, requiring a total average of >= 5.0).

What is the fee for taking the PAU exam in Castilla y León?

The base registration fee for the PAU Access Phase in Castilla y León is set by the Junta de Castilla y León at EUR 76.82 (plus EUR 10.33 per subject in the voluntary admission phase), with fee exemptions for large families and specific categories.

Who sets the curriculum for the Castilla y León PAU Technology and Engineering II test?

The curriculum and exam criteria are established by the Commission of Public Universities of Castilla y León (USAL, UVA, UBU, ULE) in coordination with the Consejería de Educación de la Junta de Castilla y León based on the 2nd Bachillerato official technology and engineering syllabus.

Why are the practice questions here in English and in multiple-choice format?

These questions serve as an English-language MCQ study adaptation designed for international students, bilingual program candidates, and revision learners seeking to test core technology and engineering concepts tested on the Castilla y León curriculum.