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Free Practice Questions for Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II

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Key Facts: Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II Exam

EUR 78.26

Ordinary registration fee for PAU in Extremadura

Universidad de Extremadura (UEx)

90 Mins

Official examination duration

Comisión Organizadora de la PAU de Extremadura

Min 4.0

Minimum Access Phase score required to combine with Bachillerato GPA

UEx / Junta de Extremadura

4 Categories

Core technical drawing syllabus domains

2º Bachillerato LOMLOE Applied Technical Drawing Syllabus

100

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Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II tests 2º Bachillerato students on plane geometry, dihedral projections, axonometry, perspective, and ISO drafting standards over 90 minutes.

Sample Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions

Try these sample questions to review concepts for the Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which notable point of a triangle is defined as the point of concurrence of its three interior angle bisectors and serves as the center of its inscribed circle (incircle)?
A.Incenter
B.Circumcenter
C.Orthocenter
D.Centroid
Explanation: The incenter is the intersection point of the three interior angle bisectors of a triangle. It is equidistant from all three sides and acts as the center of the incircle.
2In any right-angled triangle, where is the circumcenter located?
A.At the vertex of the right angle
B.At the midpoint of the hypotenuse
C.Strictly inside the triangle near the shortest leg
D.Outside the triangle opposite the hypotenuse
Explanation: According to Thales' theorem, any right triangle inscribed in a circle has its hypotenuse as a diameter, placing the circumcenter exactly at the midpoint of the hypotenuse.
3At what ratio does the centroid of a triangle divide each median, measured from the vertex to the midpoint of the opposite side?
A.1:1
B.3:1
C.2:1
D.3:2
Explanation: The centroid divides each median into two segments such that the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint of the opposite side (ratio 2:1).
4Which notable point of a triangle is defined by the intersection of its three altitudes?
A.Centroid
B.Incenter
C.Excenter
D.Orthocenter
Explanation: The orthocenter is defined as the common point where all three altitudes (perpendicular segments from vertices to opposite sides) intersect.
5What is the numerical value of the Golden Ratio (sección áurea, φ), defined as the positive solution to the equation φ² - φ - 1 = 0?
A.1.618
B.1.414
C.2.718
D.3.142
Explanation: The golden ratio φ is given by (1 + √5)/2, which evaluates to approximately 1.6180339...
6In geometric drawing, how is an oval (óvalo) defined?
A.An open curve formed by two parabolic branches
B.A closed compound curve composed of four tangent circular arcs with two axes of symmetry
C.A true conic section created by intersecting a cone with an oblique plane cutting all generators
D.A non-symmetric wavy curve formed by three inflection points
Explanation: An oval is a closed, smooth plane curve formed by circular arcs smoothly joined at points of tangency, possessing two perpendicular axes of symmetry.
7In a planar homothety (homotecia) with center O and scale factor k < 0, where is the transformed image located relative to the original figure?
A.On the same side of center O, enlarged and upright
B.Rotated 90 degrees around center O without size change
C.On the opposite side of center O, inverted and scaled by |k|
D.Reflected across a line of symmetry located at distance k from O
Explanation: When the homothety ratio k is negative, vectors from center O to transformed points point in the opposite direction (OA' = k · OA), resulting in an inverted figure situated on the opposite side of center O.
8In planar inversion (inversión en el plano) with center O and positive power K > 0, where does the inverse point A' of a point A lie?
A.On the ray opposite to OA such that OA + OA' = K
B.On the perpendicular bisector of segment OA at distance √K
C.On a concentric circle of radius K centered at O
D.On the ray OA on the same side of center O such that OA · OA' = K
Explanation: By definition, planar inversion maps a point A to A' along the ray OA such that the product of their distances from the inversion center O equals the constant power K (OA · OA' = K). For K > 0, A and A' lie on the same ray.
9When constructing a regular hexagon inscribed in a circle of radius R, what is the length of each side of the hexagon?
A.Equal to R
B.Equal to R · √2
C.Equal to R / 2
D.Equal to R · √3
Explanation: A regular hexagon consists of six equilateral triangles meeting at the circumcenter. Therefore, the side length of an inscribed regular hexagon is exactly equal to the radius R of its circumscribed circle.
10How can a regular octagon be constructed geometrically starting from an inscribed square inside a circle?
A.By trisecting the four interior angles of the square
B.By bisecting the four central angles subtended by the sides of the square
C.By doubling the radius of the circumscribed circle
D.By drawing tangents at the four vertices of the square
Explanation: Bisecting the 90-degree central angles of an inscribed square divides the circle into eight equal 45-degree arcs. Connecting the eight division points yields a regular octagon.

About the Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II Exam

The Extremadura PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II) examination evaluates student mastery of plane geometric constructions, geometric transformations, multiview dihedral orthographic projections, axonometric and conic perspective drawing, and graphic normalization applied to industrial design, plastic arts, and visual composition.

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

90-minute written and practical graphic examination (geometric constructions, projection 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 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.

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%

Plane Geometry & Geometric Transformations

Triangle and polygon constructions, tangencies, ovals, ogees, planar inversion, homothety, homology, and golden ratio proportions.

25%

Multiview Projection & Dihedral System

Orthographic projections, representation of points, lines, and planes, intersections, auxiliary plane changes, rotations, rabatment (abatimiento), and shadows.

25%

Axonometric Projections & Conic Perspective

Isometric, dimetric, cavalier oblique, cabinet projection, and central/two-point conic perspective with principal and vanishing points.

25%

Technical Standardization & Design Drawing

Scale factor numerical calculations, ISO/UNE dimensioning standards, line types, sectioning conventions, surface developments, and architectural/graphic application.

Preparing for the Extremadura PAU Technical Drawing Applied to Plastic Arts and Design 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 and practical graphic examination (geometric constructions, projection problems; local questions are an English-language MCQ study adaptation)
  • 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 Applied to Plastic Arts and Design II: Suggested Study Strategy

1Master ruler-and-compass geometric constructions including tangents, Apollonius cases, ovals, ogees, and golden section proportions.
2Practice planar transformations (homothety, homology, affinity, and inversion) to solve complex geometric figures and ellipse constructions.
3Develop proficiency in the dihedral system for determining true shapes using auxiliary plane changes, rotations, and rabatment (abatimiento).
4Understand reduction factors in axonometry (isometric, dimetric, Cavalier) and perspective constructions using distance and vanishing points.
5Practice numerical scale conversion calculations and master ISO/UNE standards for dimensioning, line types, and section views.

Frequently Asked Questions

What is the structure and duration of the PAU Technical Drawing Applied to Arts II exam in Extremadura?

The examination lasts 90 minutes (1.5 hours) and consists of practical graphic drawing problems and geometric construction exercises evaluating plane geometry, descriptive geometry (dihedral system), perspective, and technical standardization.

What is the registration fee for the PAU exam in Extremadura?

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).

What passing score is required for the PAU Access Phase in Extremadura?

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).

Which body organizes the PAU exam in Extremadura?

Comisión Organizadora de la PAU de Extremadura (Universidad de Extremadura - UEx / Consejería de Educación de la Junta de Extremadura)