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Exam Review

Key Facts: Canary PAU Tech & Engineering II Exam

90 Minutes

Exam duration

COPAU / ULPGC & ULL

EUR 76.12

Base PAU registration fee

Gobierno de Canarias / COPAU

0–10 Scale

Grading scale for Bachillerato and PAU

Spanish Ministry of Education & COPAU

6 Core Blocks

Materials, Mechanisms, Thermodynamics, Electronics, Control, Pneumatics/Hydraulics

2º Bachillerato Tecnología e Ingeniería II Syllabus

100 Questions

Practice bank size in OpenExamPrep

OpenExamPrep

Canary Islands PAU Technology and Engineering II (COPAU 2026) is a 90-minute university entrance exam assessing 2º Bachillerato Technology & Engineering II across 6 core technical domains.

Sample Canary PAU Tech & Engineering II Practice Questions

Try these sample questions to review concepts for the Canary PAU Tech & 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 specimen with an initial cross-sectional area of 100 mm² is subjected to an axial tensile force of 50 kN. What is the normal tensile stress induced in the specimen?
A.500 MPa
B.50 MPa
C.5 MPa
D.5000 MPa
Explanation: Normal tensile stress is calculated as σ = F / A0. Converting 50 kN to 50,000 N and dividing by 100 mm² gives σ = 50,000 N / 100 mm² = 500 N/mm² = 500 MPa.
2A metal bar with an initial length of 200 mm elongates by 0.4 mm under a tensile stress of 400 MPa within its elastic limit. What is the Young's modulus (modulus of elasticity) of the material?
A.400 GPa
B.20 GPa
C.100 GPa
D.200 GPa
Explanation: Engineering strain is ε = ΔL / L0 = 0.4 mm / 200 mm = 0.002. According to Hooke's Law (σ = E · ε), Young's modulus is E = σ / ε = 400 MPa / 0.002 = 200,000 MPa = 200 GPa.
3A cylindrical alloy test bar has a diameter of 10 mm and an ultimate tensile strength (UTS) of 600 MPa. What maximum tensile force can the bar support before fracture?
A.188.50 kN
B.60.00 kN
C.47.12 kN
D.18.85 kN
Explanation: The initial cross-sectional area is A0 = π · d² / 4 = π · (10 mm)² / 4 ≈ 78.54 mm². Maximum force is F_max = UTS · A0 = 600 N/mm² · 78.54 mm² = 47,124 N ≈ 47.12 kN.
4In a Charpy impact test, a pendulum with an initial potential energy of 300 J breaks a notched specimen and retains 120 J of residual energy. If the cross-sectional area at the notch is 0.8 cm², what is the resilience (KCV impact toughness) of the material?
A.375 J/cm²
B.180 J/cm²
C.225 J/cm²
D.150 J/cm²
Explanation: Absorbed energy is ΔE = E1 - E2 = 300 J - 120 J = 180 J. Impact resilience KCV is the absorbed energy per unit area: KCV = ΔE / S = 180 J / 0.8 cm² = 225 J/cm².
5Which indenter and measurement principle are used in the standard Brinell hardness test (HB)?
A.A square-based diamond pyramid with a 136° face angle, measuring indentation diagonals
B.A steel cone pressed under load, measuring the diameter of the elastic recovery zone
C.A hardened steel or tungsten carbide sphere pressed under load, measuring the surface area of the spherical indentation
D.A 120° diamond pyramid pressed under load, measuring the depth of penetration
Explanation: Brinell hardness testing (HB) uses a hardened steel or tungsten carbide ball (typically 10 mm diameter) pressed into the material under a specified load F. Hardness is derived from load divided by the surface area of the spherical impression.
6A Vickers hardness test performed with a load of 30 kgf produces a square indentation with an average diagonal length of 0.4 mm. Calculate the Vickers hardness number (HV).
A.225.0 HV
B.347.7 HV
C.695.4 HV
D.173.8 HV
Explanation: Vickers hardness is calculated as HV = 1.8544 · F / d², where F = 30 kgf and d = 0.4 mm. HV = 1.8544 · 30 / (0.4)² = 55.632 / 0.16 = 347.7 HV.
7A structural steel has a yield strength σ_y = 300 MPa and a Young's modulus E = 200 GPa. What is the strain energy density stored at the elastic limit (modulus of resilience U_e)?
A.0.450 MJ/m³
B.0.075 MJ/m³
C.0.225 MJ/m³
D.1.500 MJ/m³
Explanation: The modulus of resilience is U_e = σ_y² / (2 E). Converting E = 200 GPa = 200,000 MPa = 200,000 × 10⁶ Pa, U_e = (300 × 10⁶)² / (2 · 200 × 10⁹) = (9 × 10¹⁴) / (4 × 10¹¹) = 2.25 × 10⁵ J/m³ = 0.225 MJ/m³.
8What is the primary objective of quenching (templado) in heat-treating medium-to-high carbon steels?
A.Rapid cooling from austenite to transform the micro-structure into hard, brittle martensite
B.Slow cooling in a furnace to produce soft, ductile coarse pearlite
C.Reheating hardened steel below A1 to relieve internal stresses and increase toughness
D.Diffusing nitrogen into the steel surface to form hard iron nitrides
Explanation: Quenching involves heating steel above its critical temperature into the austenitic range and then cooling it rapidly (in water, oil, or air) to trap carbon in a body-centered tetragonal lattice, forming martensite.
9Why is tempering (revenido) almost always performed immediately after quenching steel?
A.To increase carbon content in the core of the steel component
B.To reduce extreme brittleness and relieve internal quenching stresses while retaining acceptable hardness
C.To cause rapid grain growth and maximize electrical conductivity
D.To transform remaining ferrite into austenite
Explanation: As-quenched martensite is extremely hard and brittle with high internal stresses. Tempering reheats the component below A1 (200 °C - 650 °C), allowing martensite to decompose slightly into tempered martensite, restoring toughness and impact resistance.
10Which heat treatment process involves heating steel above its critical transformation temperature, holding it, and then cooling it very slowly inside the furnace?
A.Normalizing (normalizado)
B.Quenching (templado)
C.Carburizing (cementación)
D.Annealing (recocido)
Explanation: Full annealing (recocido de regeneración) heats steel into the austenitic region followed by slow furnace cooling. This produces a soft, strain-free structure with maximum ductility and minimum hardness.

About the Canary PAU Tech & Engineering II Exam

The Canary Islands PAU Technology and Engineering II examination (Pruebas de Acceso a la Universidad, COPAU 2026) evaluates upper secondary students in the Canary Islands (ULPGC and ULL) on core engineering domains: Materials Testing, Mechanical Transmissions, Thermodynamics, Digital Logic, Control Theory, and Fluid Power Systems. This question bank contains 100 complete practice items with step-by-step mathematical solutions and distractor analyses.

Exam sponsor: Canary Islands PAU Organising Commission (COPAU) / ULPGC & ULL. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written 90-minute standardized exam. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Canary Islands PAU paper, not an official translation or format simulation.

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 76.12 base registration fee for PAU Access Phase (set by Gobierno de Canarias / COPAU).

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.

18%

Engineering Materials & Structural Testing

Mechanical testing (tensile, hardness, Charpy impact), stress-strain diagrams, Young's modulus, thermal treatments (annealing, quenching, tempering), fatigue, and creep.

18%

Mechanisms & Machine Dynamics

Gear trains, belt/pulley systems, gear ratios, torque, mechanical power, angular velocity, mechanical advantage, efficiency, and energy losses in machines.

18%

Thermodynamics & Thermal Machines

First and Second Laws of Thermodynamics, Carnot efficiency, thermodynamic cycles (Otto, Diesel), heat engines, heat pumps, refrigeration, and heat transfer mechanisms.

17%

Digital Electronics & Logic Systems

Boolean algebra, truth tables, Karnaugh maps, combinational logic circuits, multiplexers, decoders, latches, flip-flops, and sequential digital systems.

15%

Automatic Control Systems

Open-loop and closed-loop control, transfer functions, block diagram reduction, transient response, system stability, sensors, transducers, and PID controllers.

14%

Pneumatic & Hydraulic Circuits

Fluid power principles, Pascal's law, flow rate, cylinder force calculation (advance/return), directional control valves, logic valves, and circuit schematics.

Preparing for the Canary PAU Tech & 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: Written 90-minute standardized exam. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Canary Islands PAU paper, not an official translation or format simulation.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 76.12 base registration fee for PAU Access Phase (set by Gobierno de Canarias / COPAU). 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

Canary PAU Tech & Engineering II: Suggested Study Strategy

1Practice tensile test calculations involving stress (σ = F/A), strain (ε = ΔL/L), Young's modulus (E = σ/ε), and Resilience / Impact Energy (Charpy test KCV = E / S).
2Master gear train transmission ratios (i = N_out / N_in = Z_in / Z_out), torque conservation (P = T · ω), and mechanical efficiency (η = P_out / P_in).
3Solve thermodynamic cycle problems calculating absorbed heat, released heat, work output (W = Q_h - Q_c), Carnot efficiency η_c = 1 - T_c / T_h, and heat pump COP.
4Simplify logic circuits using Boolean algebra theorems and 3/4-variable Karnaugh maps, and understand flip-flop operation (JK, D, SR, T).
5Calculate closed-loop transfer functions T(s) = G(s) / (1 + G(s)H(s)) and analyze step responses, poles, and steady-state errors.
6Calculate pneumatic cylinder effective forces during extension F_ext = P · A_p and retraction F_ret = P · (A_p - A_r) considering friction and pressure loss.

Frequently Asked Questions

Is this practice bank in the same format as the real Canary Islands PAU exam?

No, and it is important to know the difference. The official Canary Islands PAU paper is a 90-minute examination sat in Spanish and built around case material with structured written problems, circuit and system analysis, and justified answers. Under the 2026 PAU design rules agreed by COPAU and the CRUE, open and semi-constructed responses 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 the underlying knowledge and reasoning quickly, then practise solving and justifying full engineering problems and analysing circuits and mechanisms on paper separately, because that is what the examiners actually mark.

What is the fee for the PAU Technology and Engineering II exam in the Canary Islands?

The base registration fee is EUR 76.12 for the PAU Access Phase set by the Gobierno de Canarias / COPAU.

What passing score is required on the PAU exam?

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).

How long is the Technology and Engineering II PAU exam?

The exam duration is 90 minutes (1.5 hours).

Which universities administer the exam in the Canary Islands?

The exam is organized by the Interuniversity Organising Commission of the Canary Islands (COPAU) through Universidad de Las Palmas de Gran Canaria (ULPGC) and Universidad de La Laguna (ULL).