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Free Practice Questions for Aragón PAU Technology and Engineering II

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Exam pass rate: About 95% of Bachillerato candidates passed the Aragón PAU Access Phase in the June 2025 ordinary sitting (regional reported results).
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Exam Review

Key Facts: Aragón PAU Technology and Engineering II Exam

90 min

Time Limit

PAU Organising Commission / UNIZAR

0–10

Grading Scale

Gobierno de Aragón

4.0

Min. Access Phase Score

UNIZAR PAU Guidelines

EUR 75.00

Ordinary Registration Fee

UNIZAR PAU inscription page 2026

6 Blocks

Curriculum Content Areas

2º Bachillerato Technology & Engineering II Syllabus

The Aragón PAU Technology and Engineering II exam (Tecnología e Ingeniería II) is administered by the PAU Organising Commission of Aragón and Universidad de Zaragoza (UNIZAR) 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 Aragón PAU Technology and Engineering II Practice Questions

Try these sample questions to review concepts for the Aragón 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.

1A cylindrical steel bar with an initial cross-sectional area of A0 = 100 mm² is subjected to an axial tensile force of F = 50 kN. What is the engineering stress (σ) experienced by the bar?
A.500 kPa
B.500 MPa
C.50 MPa
D.5 GPa
Explanation: Engineering stress is defined as force divided by initial area: σ = F / A0. Converting units: F = 50,000 N and A0 = 100 × 10^-6 m². Therefore, σ = 50,000 N / (100 × 10^-6 m²) = 500,000,000 Pa = 500 MPa.
2A tensile specimen with a gauge length of L0 = 200 mm elongates to a length of L = 200.4 mm under an applied load. What is the engineering strain (ε)?
A.0.02 (2.0%)
B.0.004 (0.4%)
C.0.002 (0.2%)
D.0.0002 (0.02%)
Explanation: Engineering strain is the ratio of elongation to original length: ε = ΔL / L0. Elongation ΔL = 200.4 - 200 = 0.4 mm. Thus, ε = 0.4 mm / 200 mm = 0.002, or 0.2%.
3A structural steel rod of diameter d = 10 mm and original length L0 = 0.5 m is subjected to a tensile force F = 16.5 kN within its elastic limit. Given Young's modulus E = 210 GPa for steel, calculate the total elongation (ΔL) of the rod.
A.1.00 mm
B.2.00 mm
C.0.50 mm
D.0.25 mm
Explanation: Cross-sectional area A0 = π d² / 4 = π (0.01 m)² / 4 = 7.854 × 10^-5 m². Stress σ = F / A0 = 16,500 N / (7.854 × 10^-5 m²) = 210.08 MPa. Using Hooke's law (ε = σ / E): strain ε = 210.08 × 10^6 Pa / (210 × 10^9 Pa) = 1.00 × 10^-3. Elongation ΔL = L0 × ε = 0.5 m × 1.00 × 10^-3 = 5.0 × 10^-4 m = 0.50 mm.
4In a Brinell hardness test on a metallic alloy, a hardened steel ball of diameter D = 10 mm is applied under a load F = 3000 kgf. The measured indentation diameter is d = 4.0 mm. Calculate the Brinell Hardness Number (HB). [Formula: HB = 2F / (π D (D - √(D² - d²)))]
A.150 HB
B.229 HB
C.310 HB
D.450 HB
Explanation: Compute the term √(D² - d²) = √(10² - 4²) = √84 ≈ 9.16515 mm. Then (D - √(D² - d²)) = 10 - 9.16515 = 0.83485 mm. Indentation surface area A = π × 10 × 0.83485 ≈ 26.227 mm². HB = 2 × 3000 / 26.227 = 6000 / 26.227 ≈ 228.8 HB, which rounds to 229 HB.
5In a Charpy impact test, a heavy pendulum striker of mass m = 20 kg is released from a height h1 = 1.5 m. After fracturing the notched test specimen, the pendulum swings to a maximum height h2 = 0.6 m on the opposite side. Assuming g = 9.8 m/s², what is the impact energy absorbed by the specimen?
A.117.6 J
B.176.4 J
C.411.6 J
D.294.0 J
Explanation: Impact energy absorbed equals the difference in potential energy before and after fracture: ΔE = m g (h1 - h2). ΔE = 20 kg × 9.8 m/s² × (1.5 m - 0.6 m) = 196 × 0.9 = 176.4 J.
6Which type of indenter is used in the Vickers hardness test?
A.A cylindrical carbide pin with a flat tip
B.A square-based diamond pyramid with an angle of 136° between opposite faces
C.A hardened steel or tungsten carbide ball of 10 mm diameter
D.A diamond cone with an included angle of 120°
Explanation: The Vickers hardness test utilizes a square-based diamond pyramid indenter with a 136° angle between opposite faces. Indentation diagonals are measured optically.
7What is the primary microstructural goal and effect of quenching (temple) heat treatment applied to carbon steel?
A.To transform austenite rapidly into martensite, maximizing hardness and tensile strength
B.To transform martensite into coarse pearlite to maximize ductility
C.To remove all carbon from the iron lattice via surface decarburization
D.To produce a pure ferrite matrix with low yield strength
Explanation: Quenching involves heating steel above its critical upper transformation temperature to form austenite, followed by rapid cooling in water or oil. This prevents diffusion and traps carbon in a supersaturated body-centered tetragonal structure known as martensite, conferring high hardness and strength.
8Why is tempering (revenido) mandatory immediately following quenching in the heat treatment of tool steel?
A.To melt grain boundaries and weld microscopic internal microcracks
B.To increase the hardness even further beyond the quenched state
C.To relieve internal quenching stresses and increase toughness while reducing extreme brittleness
D.To convert martensite back into 100% untransformed austenite
Explanation: As-quenched martensite is extremely hard but very brittle and contains severe internal stresses. Tempering (reheating below A1 temperature) allows partial carbon diffusion to form tempered martensite, relieving internal stresses and restoring impact toughness and ductility.
9Full annealing (recocido de regeneración) of steel involves heating above the critical temperature followed by:
A.Very slow cooling inside the shut-down furnace to obtain maximum softness and machinability
B.Rapid quenching in cold brine to freeze the crystal structure
C.Forced air cooling using high-velocity industrial fans
D.Immediate mechanical forging while red-hot
Explanation: Full annealing requires heating steel above A3/A1 to form austenite, followed by slow cooling within the furnace (often < 20°C/hour). This produces coarse pearlite and ferrite, ensuring minimum hardness, maximum ductility, and optimal machinability.
10A binary Cu-Ni phase diagram shows complete liquid and solid solubility. An alloy containing 40 wt% Ni is held at 1200°C in a two-phase (Liquid + α) region. The liquid phase contains wL = 32 wt% Ni and the solid α phase contains wα = 50 wt% Ni. Using the lever rule, determine the mass fraction of the liquid phase (WL).
A.36.0%
B.44.4%
C.64.0%
D.55.6%
Explanation: By the lever rule, the fraction of liquid WL = (wα - w0) / (wα - wL). Here w0 = 40, wα = 50, and wL = 32. WL = (50 - 40) / (50 - 32) = 10 / 18 = 0.5556 = 55.6%.

About the Aragón PAU Technology and Engineering II Exam

The Aragón PAU Technology and Engineering II exam (Tecnología e Ingeniería II 2º Bachillerato) evaluates secondary school graduates in Aragón on core engineering principles including material testing and heat treatments, thermodynamics and thermal machines, pneumatic and hydraulic fluid power, automatic control systems, digital logic electronics, and alternating current electrical systems. Please note: The official PAU exam features written numerical problem-solving and structured 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: PAU Organising Commission of Aragón / UNIZAR. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Question count not published by the exam provider

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 75.00 ordinary registration fee (Access Phase plus two voluntary subjects); EUR 30.93 per additional voluntary subject (UNIZAR 2026)

Exam sponsor website

Reported exam pass rate: About 95% of Bachillerato candidates passed the Aragón PAU Access Phase in the June 2025 ordinary sitting (regional reported results).. 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%

Materials Science and Manufacturing

Stress-strain relationships, Hooke's law, tensile testing, elastic and plastic deformation, Young's modulus, Brinell and Vickers hardness tests, Charpy impact testing, phase diagrams (lever rule, cooling curves), heat treatments (annealing, quenching, tempering), and alloy structure.

20%

Energy Systems and Thermal Engineering

First and second laws of thermodynamics, thermal expansion of solids and liquids, heat engines, heat pumps and refrigeration cycles, Carnot efficiency, thermodynamic cycle calculations, thermal power, and solar/wind renewable energy conversion.

20%

Pneumatic and Hydraulic Fluid Power

Hydrostatic pressure, Pascal's principle, fluid dynamics (continuity equation Q=Av, flow rate), pneumatic cylinder force calculations (single and double acting, considering friction and working pressure), directional control valves, pressure and flow control valves, and logic circuit design.

15%

Automatic Control Systems and Automation

Open-loop versus closed-loop control systems, transfer functions of linear systems, block diagram reduction, feedback control, sensors (temperature RTD, strain gauge, optical, LVDT), actuators, and programmable logic controllers (PLC).

15%

Digital Electronics and Logic Gates

Binary, octal, and hexadecimal number systems, Boolean algebra laws and theorems, truth tables, logic gates (AND, OR, NOT, NAND, NOR, XOR, XNOR), Karnaugh map simplification, combinational logic design (encoders, decoders, multiplexers), and flip-flops.

10%

Electrical Systems and Alternating Current

AC circuit phasors, single-phase RLC series and parallel circuits, impedance Z, active power P, reactive power Q, apparent power S, power factor cos phi improvement, single-phase transformers, and induction motor synchronous speed and slip.

Preparing for the Aragón 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: Question count not published by the exam provider
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 75.00 ordinary registration fee (Access Phase plus two voluntary subjects); EUR 30.93 per additional voluntary subject (UNIZAR 2026) 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

Aragón PAU Technology and Engineering II: Suggested Study Strategy

1Practice real engineering 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 mechanical friction.
4Use Karnaugh maps systematically to minimize Boolean algebraic expressions to minimum sum-of-products form.
5Understand block diagram reduction rules and transfer function concepts G(s)/(1+G(s)H(s)) for closed-loop control systems.
6Calculate AC RLC impedance Z, active power P = V*I*cos(phi), reactive power Q, and transformer voltage/current ratios.

Frequently Asked Questions

What is the format of the official Aragón PAU Technology and Engineering II exam?

The official UNIZAR PAU Technology and Engineering II exam is a 90-minute written examination administered in Spanish, consisting of 4 sections (worth 2.5 points each) focused on materials, mechanical systems (thermal/pneumatics/structures), and electrical/digital systems. 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 Aragón 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 Aragón?

The base registration fee for the PAU Access Phase in Aragón is set by UNIZAR and the Gobierno de Aragón at EUR 75.00, with fee reductions available for large families (familia numerosa) or eligible categories.

Who sets the curriculum for the Aragón PAU Technology and Engineering II test?

The curriculum and exam criteria are established by the PAU Organising Commission of Aragón and Universidad de Zaragoza (UNIZAR) based on the official 2nd Bachillerato Technology and Engineering II 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 Aragón PAU curriculum.