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Exam Review

Key Facts: Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Exam

90 min

Duración oficial del examen escrito de PAU Dibujo Técnico II en Extremadura

Comisión Organizadora de la PAU de Extremadura / UEx

EUR 78.26

Tasa ordinaria de inscripción en la PAU de Extremadura

Universidad de Extremadura (UEx)

0–10

Escala de calificación (mínimo 4.0 en Fase de Acceso para hacer media)

Normativa PAU Extremadura

4 Bloques

Geometría Plana, Sistema Diédrico, Axonometría y Normalización Industrial

Decreto de Currículo de 2º Bachillerato de Extremadura

100

Preguntas de práctica conceptuales y numéricas en este banco

OpenExamPrep

Prepare for the UEx 2026 PAU Technical Drawing II exam with 100 high-quality practice questions covering plane geometry, tangencies, dihedral system, axonometric projections, and ISO normalization.

Sample Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Practice Questions

Try these sample questions to review concepts for the Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In a scalene triangle, which point of concurrency is defined as the intersection of the three perpendicular bisectors of its sides?
A.Circumcenter
B.Incenter
C.Orthocenter
D.Centroid (Baricenter)
Explanation: The circumcenter is the intersection point of the three perpendicular bisectors of a triangle's sides. Because every point on a perpendicular bisector is equidistant from the endpoints of the segment, the circumcenter is equidistant from all three vertices and serves as the center of the circumscribed circle.
2The centroid G of a triangle divides each median into two segments. What is the ratio of the distance from the centroid to a vertex compared to the total length of the median?
A.1/3
B.2/3
C.1/2
D.3/4
Explanation: The centroid G divides each median into a 2:1 ratio. The segment from the vertex to the centroid is 2/3 of the total median length, while the segment from the centroid to the midpoint of the opposite side is 1/3 of the total median length.
3In any non-equilateral triangle, the circumcenter (O), centroid (G), and orthocenter (H) are collinear. Which segment relationship holds along this Euler line?
A.The centroid G lies between O and H such that GH = 2 · OG.
B.The circumcenter O lies between G and H such that HO = 2 · OG.
C.The orthocenter H lies between O and G such that OH = HG.
D.The centroid G is the midpoint of segment OH, so OG = GH.
Explanation: On the Euler line of a triangle, the centroid G always lies between the circumcenter O and the orthocenter H, dividing the line segment OH in a 1:2 ratio such that the distance from G to H is twice the distance from O to G (GH = 2 · OG).
4A technical drawing uses a scale of E = 1:50. If a dimension on the drawing measures 12.4 cm, what is the actual real-world length in meters?
A.6.20 m
B.0.248 m
C.62.0 m
D.1.24 m
Explanation: Scale E = Drawing / Real = 1 / 50. Therefore, Real = Drawing × 50 = 12.4 cm × 50 = 620 cm = 6.20 m.
5A microscopic component with a real length of 3.5 mm is drawn with a length of 17.5 cm on paper. What is the numerical scale of the drawing?
A.E = 50:1
B.E = 5:1
C.E = 1:50
D.E = 1:5
Explanation: Convert drawing length to millimeters: 17.5 cm = 175 mm. Scale E = Drawing / Real = 175 mm / 3.5 mm = 50 / 1, which gives an enlargement scale of E = 50:1.
6What geometric locus is formed by all points in a plane that have equal power with respect to two non-concentric circles?
A.A straight line perpendicular to the line joining the centers of the two circles.
B.A circle concentric with the midpoint of the line joining the centers.
C.A hyperbola whose foci are the centers of the two circles.
D.A straight line parallel to the line joining the centers of the two circles.
Explanation: The radical axis of two circles is defined as the geometric locus of points having equal power with respect to both circles. It is always a straight line perpendicular to the line of centers connecting the two circles.
7An ellipse has major axis 2a = 100 mm and focal distance 2c = 60 mm. What is the length of its minor axis 2b?
A.80 mm
B.40 mm
C.70 mm
D.90 mm
Explanation: In an ellipse, the semi-axes and focal semi-distance satisfy the Pythagorean relation a² = b² + c². Here a = 50 mm and c = 30 mm. Thus b = √(50² - 30²) = √(2500 - 900) = √1600 = 40 mm. The full minor axis 2b = 2 × 40 mm = 80 mm.
8By definition, a parabola is the locus of points in a plane equidistant from a fixed point (the focus F) and a fixed straight line. What is this fixed line called?
A.Directrix
B.Focal axis
C.Asymptote
D.Generatrix
Explanation: The directrix is the fixed line from which every point P on a parabola is equidistant to the focus F (d(P, F) = d(P, directrix)).
9In a hyperbola, what is the geometric definition of any point P belonging to the curve with respect to its two foci F1 and F2?
A.The absolute difference of distances |PF1 - PF2| is constant and equal to 2a.
B.The sum of distances PF1 + PF2 is constant and equal to 2a.
C.The product of distances PF1 · PF2 is constant and equal to a².
D.The ratio of distances PF1 / PF2 is constant and equal to the eccentricity.
Explanation: A hyperbola is the locus of points where the absolute difference of distances to two fixed points (foci F1, F2) is constant, equal to the transverse axis length 2a (|PF1 - PF2| = 2a).
10In a plane inversion with center O and positive power k > 0, what is the inverse image of a straight line that passes directly through the inversion center O?
A.The same straight line (it is invariant as a line, though individual points swap places).
B.A circle passing through the inversion center O.
C.A circle not passing through the inversion center O.
D.A parabola with vertex at the inversion center O.
Explanation: Any straight line passing through the inversion center O transforms into itself (is invariant as a whole line), because for any point P on the line, its inverse P' satisfies OP · OP' = k and therefore P' also lies on the same line through O.

About the Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026) Exam

Comprehensive question bank for the Extremadura PAU Technical Drawing II exam (UEx 2026). Includes 100 multiple-choice questions covering plane geometry, conic sections, tangencies, dihedral system projections, axonometry, and industrial normalization.

Exam sponsor: Comisión Organizadora de la PAU de Extremadura (Universidad de Extremadura - UEx / Consejería de Educación de la Junta de Extremadura). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The PAU Technical Drawing II exam for Extremadura (UEx 2026) is a 90-minute written examination testing 2º Bachillerato technical drawing competencies. It features 4 core topic areas: Plane Geometry & Tangencies (30%), Descriptive Geometry & Dihedral System (35%), Axonometric Projections (20%), and Normalization & Industrial Drawing (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 >= 5.0 to pass).

Exam / Certification Fees

EUR 78.26 ordinary registration fee for PAU (50% discount EUR 39.13 for general large family; full exemption for special large family, disability, or terrorism victims).

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.

30%

Plane Geometry & Tangencies

Polygons, conic sections (ellipse, parabola, hyperbola), transformations (inversion, homothety), power of a point, tangencies, and scale calculations.

35%

Descriptive Geometry & Dihedral System

Orthographic projections of points, lines, planes; true lengths, true distances, angles, intersections, rotations, auxiliary views, polyhedra, and surfaces of revolution.

20%

Axonometric Projections

Isometric, dimetric, trimetric, and Cavalier projections, isometric scale reduction factors (0.816 vs non-reduced 1:1), coordinate representation, and perspective view generation.

15%

Normalization & Industrial Drawing

Standard orthographic views (ISO First Angle / European projection), sections, full/half cuts, ISO dimensioning standards, surface finish symbols, and mechanical assemblies.

Preparing for the Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 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 >= 5.0 to pass).
  • Assessment: The PAU Technical Drawing II exam for Extremadura (UEx 2026) is a 90-minute written examination testing 2º Bachillerato technical drawing competencies. It features 4 core topic areas: Plane Geometry & Tangencies (30%), Descriptive Geometry & Dihedral System (35%), Axonometric Projections (20%), and Normalization & Industrial Drawing (15%).
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 78.26 ordinary registration fee for PAU (50% discount EUR 39.13 for general large family; full exemption for special large family, disability, or terrorism victims). 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

Extremadura PAU Technical Drawing II (Dibujo Técnico II - UEx 2026): Suggested Study Strategy

1Master scale calculations (numerical and graphic scales), including scale conversion E = drawn size / real size.
2Understand conic section focal properties, tangent constructions, foci, axes, directrices, and focal spheres (Dandelin spheres).
3Practice true length determination using auxiliary views (cambio de plano), rotation (giro), and rabatment/rebatment (abatimiento) in the dihedral system.
4Memorize axonometric reduction factors: normalized isometric reduction micro-factor mu = sqrt(2/3) ~ 0.816 vs 1:1 unreduced axonometry, and Cavalier reduction along axis Y (typically 1/2, 2/3, or 3/4).
5Apply ISO industrial drawing rules: First Angle Projection symbol (cone section), chain vs parallel dimensioning, section line Hatching at 45 degrees, and dimensioning standards for circles (R vs diameter).

Frequently Asked Questions

¿Cuál es la duración del examen de Dibujo Técnico II en la PAU de Extremadura?

La prueba escrita tiene una duración oficial de 90 minutos (1.5 horas).

¿Cómo se evalúa la prueba y cuál es la nota mínima requerida en Extremadura?

Se evalúa en la escala de 0 a 10 puntos. Se requiere una nota mínima de 4.0 en la Fase de Acceso para poder promediar con la nota media de Bachillerato (60% Bachillerato + 40% PAU >= 5.0 para aprobar).

¿Cuál es la tasa ordinaria de matriculación de la PAU en la Universidad de Extremadura (UEx)?

La tasa ordinaria de inscripción es de 78,26 €. Existe una bonificación del 50% (39,13 €) para miembros de familia numerosa general, y exención total para familia numerosa especial, personas con discapacidad o víctimas del terrorismo.

¿Qué contenidos forman el programa oficial de Dibujo Técnico II en 2º de Bachillerato de Extremadura?

Los contenidos se estructuran en 4 bloques: Geometría Plana y Tangencias (polígonos, cónicas, inversión, potencia, escalas), Sistema Diédrico (puntos, rectas, planos, distancias, giros, abatimientos, poliedros), Proyecciones Axonométricas (isométrica, caballera, coeficientes de reducción) y Normalización/Dibujo Industrial (vistas, cortes, acotación ISO).