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Free Practice Questions for Catalonia PAU Technology and Engineering II

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Key Facts: Catalonia PAU Technology and Engineering II Exam

90 min

Time limit for Catalonia PAU Technology and Engineering II examination

Consell Interuniversitari de Catalunya (CIC)

EUR 110.00+ access phase (EUR 41.30 exam right + EUR 68.70 access phase; plus EUR 13.80 per admission exercise, Generalitat de Catalunya 2026)

Base registration fee set by Generalitat de Catalunya for Access Phase

Generalitat de Catalunya PAU Regulations

4.0 / 10

Minimum score required in Access Phase to combine with Batxillerat GPA

Consell Interuniversitari de Catalunya (CIC)

100

High-yield worked engineering calculation practice questions

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Catalonia PAU Technology and Engineering II is a 90-minute university entrance exam covering materials science, heat engines, electrical circuits, Boolean logic, fluid power, and feedback control systems.

Sample Catalonia PAU Technology and Engineering II Practice Questions

Try these sample questions to review concepts for the Catalonia 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 test bar with an initial diameter of 10 mm is subjected to an axial tensile force of 20 kN. What is the normal tensile stress induced in the cross-section of the specimen?
A.254.65 MPa
B.63.66 MPa
C.200.00 MPa
D.1018.59 MPa
Explanation: Normal tensile stress is defined as σ = F / A0. The cross-sectional area is A0 = (π · d²) / 4 = (π · (10 mm)²) / 4 = 78.54 mm². Dividing 20,000 N by 78.54 mm² yields 254.65 N/mm² or 254.65 MPa.
2A metal specimen with an initial gauge length of 150 mm elongates by 0.30 mm when subjected to an axial load within its elastic limit. What is the engineering unit strain of the specimen?
A.0.020 (2.0%)
B.0.002 (0.2%)
C.0.005 (0.5%)
D.0.0002 (0.02%)
Explanation: Engineering unit strain is defined as ε = ΔL / L0. Dividing the elongation of 0.30 mm by the initial gauge length of 150 mm gives ε = 0.002, which corresponds to 0.2%.
3A metallic alloy specimen experiences a tensile stress of 300 MPa and an elastic strain of 0.0015. What is the modulus of elasticity (Young's modulus E) of this material?
A.450 GPa
B.20 GPa
C.200 GPa
D.2000 GPa
Explanation: According to Hooke's Law in the elastic regime, E = σ / ε. Dividing 300 MPa (300 × 10⁶ Pa) by 0.0015 yields E = 200,000 MPa, which equals 200 GPa.
4Which formula correctly represents the Brinell hardness number (HB) calculation for a spherical indenter of diameter D and indentation diameter d under load P (in kgf)?
A.HB = (2 · P) / [ π · D · (D - √(D² - d²)) ]
B.HB = P / [ π · D · d ]
C.HB = (2 · P) / [ π · d · (D + √(D² - d²)) ]
D.HB = (P · D) / [ 2 · π · √(D² - d²) ]
Explanation: The Brinell hardness number HB is determined by dividing the applied load P by the curved surface area of the spherical indentation, given by HB = (2 · P) / [ π · D · (D - √(D² - d²)) ].
5What physical property of a material is primarily evaluated using a Charpy pendulum impact test?
A.Ductility
B.Hardness
C.Resilience and impact toughness
D.Electrical conductivity
Explanation: The Charpy pendulum impact test measures impact toughness and resilience (energy absorbed during dynamic fracture per unit cross-sectional area).
6What is the primary objective of performing a tempering (revenut) heat treatment on steel after quenching (temprat)?
A.To maximize grain size and increase internal stress
B.To transform ferrite completely into un-tempered austenite
C.To increase carbon concentration at the outer surface
D.To relieve internal stresses and increase toughness while slightly reducing extreme hardness
Explanation: Tempering involves reheating quenched martensitic steel below the lower critical temperature to relieve internal residual stresses, reduce brittleness, and restore toughness and ductility.
7Which heat treatment process involves heating steel to an austenitic temperature followed by very slow furnace cooling to produce maximum softness and ductility?
A.Annealing (recuit)
B.Quenching (temprat)
C.Carburizing (cementació)
D.Flame hardening
Explanation: Annealing (recuit) consists of heating steel to the austenitic phase followed by slow furnace cooling to refine grain structure, eliminate internal stresses, and achieve minimum hardness and maximum softness.
8What is the main mechanism of carburizing (cementació) in surface heat treatment of low-carbon steels?
A.Diffusing carbon atoms into the surface layer at elevated temperature to form a hard case upon quenching
B.Diffusing nitrogen to form brittle iron nitrides without subsequent quenching
C.Rapidly cooling the steel core using liquid nitrogen spray
D.Adding copper to increase thermal conductivity throughout the bulk specimen
Explanation: Carburizing diffuses carbon atoms into the austenitic surface layer of low-carbon steel at high temperatures, creating a high-carbon outer skin that becomes very hard after quenching while keeping a tough core.
9A steel bar of initial length 2.0 m and cross-sectional area 100 mm² is pulled by a tensile force of 15 kN. Given Young's modulus E = 200 GPa, what is the total elongation ΔL of the bar?
A.0.15 mm
B.1.50 mm
C.15.00 mm
D.0.75 mm
Explanation: Elongation is given by ΔL = (F · L0) / (A0 · E). Substituting F = 15,000 N, L0 = 2000 mm, A0 = 100 mm², and E = 200,000 MPa yields ΔL = (15,000 · 2000) / (100 · 200000) = 30,000,000 / 20,000,000 = 1.50 mm.
10In a Brinell hardness test on a steel block using a standard 10 mm diameter hardened steel ball under a load P = 3000 kgf, an indentation diameter d = 4.0 mm is measured. What is the Brinell hardness value (HB)?
A.149.2 HB
B.228.7 HB
C.350.0 HB
D.477.5 HB
Explanation: HB = (2 · P) / [ π · D · (D - √(D² - d²)) ]. Here D = 10 mm, d = 4 mm. √(100 - 16) = √84 = 9.16515 mm. The denominator is π · 10 · (10 - 9.16515) = 31.4159 · 0.83485 = 26.227 mm². HB = 6000 / 26.227 = 228.7 HB.

About the Catalonia PAU Technology and Engineering II Exam

The Catalonia PAU Technology and Engineering II (Tecnologia i Enginyeria II) exam assesses 2n de Batxillerat students on core engineering disciplines required for admission to engineering and technical university degree programs in Catalonia. The official exam consists of numerical problem-solving tasks and circuit/schematic analysis in Catalan/Spanish. This practice bank offers 100 multiple-choice questions in English with worked step-by-step calculations.

Exam sponsor: Consell Interuniversitari de Catalunya (CIC) / Generalitat de Catalunya. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The official Catalonia PAU Technology and Engineering II exam is a 90-minute written problem-solving assessment conducted in Catalan/Spanish. It covers materials science and mechanical testing, thermodynamics and heat engines, electrical and electronic circuits, digital logic and Boolean algebra, pneumatic/hydraulic power systems, and control system transfer functions. This question bank provides an English-language MCQ adaptation for practice and self-assessment.

Time Limit

90 minutes (1.5 hours)

Passing Score

Marked on a 0–10 scale. Minimum score of 4.0 required in the Access Phase to calculate overall entrance score (60% Batxillerat + 40% PAU >= 5.0 to pass).

Exam / Certification Fees

EUR 41.30 examination right + EUR 68.70 access phase + EUR 13.80 per admission-phase exercise (Generalitat de Catalunya, PAU 2026); 50% reduction and full exemption available for eligible groups

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.

25%

Materials Science & Mechanical Testing

Mechanical properties of engineering materials, Hooke's law, tensile stress-strain calculations, Young's modulus, Brinell and Vickers hardness testing, Charpy impact test and resilience, heat treatments (quenching, tempering, annealing, carburizing), and binary phase equilibrium diagrams with the lever rule.

20%

Energy Systems, Thermodynamics & Heat Engines

First and second laws of thermodynamics, heat engines thermal efficiency, Carnot cycle, internal combustion engines (Otto and Diesel cycles), heat pumps and refrigeration performance (COP), solar thermal/photovoltaic collectors, wind turbine power, and hydroelectric systems.

15%

Electrical & Electronic Circuits

Ohm's law, Kirchhoff's laws (KCL/KVL), series/parallel and delta-star resistor networks, single-phase AC circuits, impedance, active/reactive/apparent power, power factor correction, and operational amplifier gain configurations (inverting, non-inverting, summing).

20%

Digital Electronics & Boolean Logic

Binary and hexadecimal number systems, Boolean algebra laws, De Morgan's theorems, truth tables, logic gates (AND, OR, NOT, NAND, NOR, XOR), Karnaugh map minimization (2, 3, and 4 variables), combinational circuits (multiplexers, decoders, adders), and sequential logic (RS, D, JK flip-flops).

10%

Pneumatic & Hydraulic Power Systems

Fluid properties, Pascal's principle, pneumatic air treatment (FRL units), single-acting and double-acting pneumatic cylinders, extension/retraction force calculations, directional control valves (3/2, 5/2), shuttle (OR) and twin-pressure (AND) logic valves, and free air consumption.

10%

Control Systems & Transfer Functions

Open-loop and closed-loop control architectures, block diagram reduction, transfer functions H(s) = Y(s)/X(s), negative feedback gain, system stability and pole placement, industrial sensors (thermocouples, RTDs, proximity sensors), and PID controller action.

Preparing for the Catalonia PAU Technology and Engineering II Exam

What You Need to Know

  • Passing score: Marked on a 0–10 scale. Minimum score of 4.0 required in the Access Phase to calculate overall entrance score (60% Batxillerat + 40% PAU >= 5.0 to pass).
  • Assessment: The official Catalonia PAU Technology and Engineering II exam is a 90-minute written problem-solving assessment conducted in Catalan/Spanish. It covers materials science and mechanical testing, thermodynamics and heat engines, electrical and electronic circuits, digital logic and Boolean algebra, pneumatic/hydraulic power systems, and control system transfer functions. This question bank provides an English-language MCQ adaptation for practice and self-assessment.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 41.30 examination right + EUR 68.70 access phase + EUR 13.80 per admission-phase exercise (Generalitat de Catalunya, PAU 2026); 50% reduction and full exemption available for eligible groups Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
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Frequently Asked Questions

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

The official Catalonia PAU Technology and Engineering II (Tecnologia i Enginyeria II) exam is a 90-minute written examination in Catalan/Spanish where students solve numerical engineering problems, draw circuit/pneumatic schematics, and minimize Boolean logic functions. This practice question bank provides an English-language multiple-choice adaptation designed for comprehensive study and self-assessment.

What topics carry the highest weight on the Catalonia PAU Tecnologia i Enginyeria II paper?

The exam heavily emphasizes Materials Science & Mechanical Testing (25%), Thermodynamics & Heat Engines (20%), Digital Electronics & Logic Gates (20%), Electrical & Electronic Circuits (15%), Pneumatics/Hydraulics (10%), and Control Systems (10%).

What are the exam fees and grading rules in Catalonia?

The Generalitat de Catalunya, through the Consell Interuniversitari de Catalunya (CIC), sets the 2026 PAU ordinary fees at EUR 41.30 examination right, EUR 68.70 access phase, and EUR 13.80 per admission-phase exercise. A 50% reduction and a full exemption are available for eligible groups such as large families (família nombrosa general), scholarship holders, and students with a recognised disability of 33% or more.

Who administers the PAU exams in Catalonia?

The PAU exams in Catalonia are organized and administered by the Consell Interuniversitari de Catalunya (CIC) under the Department of Research and Universities of the Generalitat de Catalunya.