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Exam Review

Key Facts: PAU Technical Drawing II (Andalusia) Exam

90 min

Exam Time Limit

Distrito Único Andaluz

0–10

Grading Scale (Min 4.0 for Access Phase)

Junta de Andalucía

EUR 58.70

Base Registration Fee

Distrito Único Andaluz 2026

4 Core Blocks

Plane, Dihedral, Axonometric, ISO Standards

2nd Bachillerato Curriculum

The Technical Drawing II exam for the Andalusia PAU (Prueba de Acceso a la Universidad) features a 90-minute university entrance test administered by the Distrito Único Andaluz. Graded on a 0–10 scale, a minimum mark of 4.0 is required in the Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass). The official exam consists of practical graphic drawing tasks; this dataset provides an English-language MCQ study adaptation designed for core concept practice, rule verification, and theoretical mastery.

Sample PAU Technical Drawing II (Andalusia) Practice Questions

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

1In plane geometry tangency theory, what is the fundamental relationship between two mutually tangent circles?
A.Their radii must be equal in length.
B.The point of tangency always lies on the straight line connecting their centers.
C.The line segment connecting their centers is perpendicular to the radical axis at a point outside both circles.
D.Their centers are equidistant from the origin of coordinates.
Explanation: According to fundamental tangency theorems, when two circles are tangent (either externally or internally), the point of tangency $T$ lies directly on the straight line passing through the centers of both circles. This property ensures that the common tangent line at $T$ is perpendicular to the line of centers.
2Which triangle center is defined as the point of intersection of the three interior angle bisectors?
A.Circumcenter
B.Incenter
C.Orthocenter
D.Centroid
Explanation: The incenter of a triangle is the intersection point of its three interior angle bisectors. Because it is equidistant from all three sides of the triangle, it serves as the center of the inscribed circle (incircle).
3What is the power $P$ of a point $O$ with respect to a circle of radius $R$, where the distance from $O$ to the circle's center $C$ is $d$?
A.P = d - R
B.P = d^2 - R^2
C.P = d^2 + R^2
D.P = 2 * d * R
Explanation: The power of a point $O$ relative to a circle of radius $R$ centered at $C$ is defined mathematically as $P = d^2 - R^2$, where $d = OC$. If any secant line through $O$ intersects the circle at $A$ and $B$, the product of signed lengths $OA \cdot OB$ equals $d^2 - R^2$.
4In a planar homothety transformation centered at $O$ with scale ratio $k < 0$, how are an object point $A$ and its image $A'$ arranged?
A.Points A and A' lie on opposite sides of the center O.
B.Points A and A' lie on the same side of O at equal distances.
C.Point A' is rotated 90 degrees around O relative to A.
D.Points A and A' coincide at the center O.
Explanation: When the homothetic ratio $k$ is negative ($k < 0$), the transformation is an inverse homothety. The center $O$ lies strictly between the original point $A$ and its transformed image $A'$, satisfying the vector relation $\vec{OA'} = k \vec{OA}$.
5Which metric property defines an ellipse as a geometric locus in a plane?
A.The set of points whose difference of distances to two fixed foci is constant.
B.The set of points whose sum of distances to two fixed foci is constant and equal to 2a.
C.The set of points equidistant from a fixed focal point and a fixed directrix line.
D.The set of points whose product of distances to two fixed foci is zero.
Explanation: An ellipse is defined as the locus of points in a plane for which the sum of the distances to two fixed points called foci ($F_1$ and $F_2$) is constant. This constant sum equals the length of the major axis ($2a$).
6What is the locus definition of a parabola in plane geometry?
A.Points for which the sum of distances to two foci is constant.
B.Points equidistant from a fixed point (focus) and a fixed line (directrix).
C.Points for which the ratio of distance to focus over distance to directrix is greater than 1.
D.Points generated by intersecting two perpendicular lines.
Explanation: A parabola is the locus of all points in a plane that are equidistant from a fixed point called the focus $F$ and a fixed straight line called the directrix $d$. Its eccentricity $e = 1$.
7Which conic section is defined as the locus of points where the absolute difference of distances to two fixed foci is constant?
A.Ellipse
B.Hyperbola
C.Parabola
D.Circle
Explanation: A hyperbola is the locus of points in a plane for which the absolute difference of the distances to two fixed foci ($|PF_1 - PF_2|$) is constant and equal to $2a$, where $2a$ is the length of the transverse axis.
8The circumcenter of a triangle is located at the intersection of which three lines?
A.Altitudes
B.Perpendicular bisectors of the sides
C.Medians
D.Angle bisectors
Explanation: The circumcenter is the point of intersection of the three perpendicular bisectors (mediatrices) of the triangle's sides. It is equidistant from all three vertices and serves as the center of the circumscribed circle.
9In the standard Dihedral Projection System, what are the two main reference planes of projection?
A.Frontal plane and Profile plane
B.Horizontal Plane (HP) and Vertical Plane (VP)
C.Bisector Plane 1 and Bisector Plane 2
D.Axonometric plane and Oblique plane
Explanation: The fundamental reference planes in the Dihedral projection system (Diédrico) are the Horizontal Plane (Plano Horizontal de Proyección) and the Vertical Plane (Plano Vertical de Proyección), which intersect perpendicularly along the Ground Line (Línea de Tierra).
10What is the Ground Line (Línea de Tierra - LT) in the Dihedral Projection System?
A.The line connecting a point to the origin of coordinates.
B.The line of intersection between the Horizontal Plane and the Vertical Plane.
C.The line perpendicular to the profile plane.
D.The axis of rotation for auxiliary abatements.
Explanation: The Ground Line (Línea de Tierra, abbreviated LT or XY) is the line formed by the orthogonal intersection of the Horizontal Plane (HP) and Vertical Plane (VP). It serves as the baseline for coordinate measurements and projection alignment.

About the PAU Technical Drawing II (Andalusia) Exam

The Andalusia PAU Technical Drawing II (Dibujo Técnico II) exam evaluates secondary students across Andalusian high schools and university admission candidates on plane geometry, descriptive geometry (dihedral projection system), axonometric and conical perspective representation, and UNE/ISO technical normalization and dimensioning. Please note: This practice bank provides an English-language multiple-choice question (MCQ) study adaptation created to assist students in mastering theoretical fundamentals, geometric constructions, projection mechanics, and dimensioning standards required by the official 2026 Distrito Único Andaluz curriculum.

Exam sponsor: Distrito Único Andaluz / Comisión Interuniversitaria de Andalucía. 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 58.70 base registration fee for PAU Access Phase (or ~14.70 € per subject in voluntary admission phase) set by Junta de Andalucía.

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

Concepts of tangency, power of a point, radical axis and radical center, transformations (homothety, affinity, inversion), conic sections (ellipse, parabola, hyperbola) properties, and cycloidal curves.

30%

Descriptive Geometry & Dihedral System

Dihedral (orthographic) representation of points, lines, and planes; traces; intersections; relative positions; distance calculations; auxiliary operations (plane changes, rotations, abatements); polyhedra and surface sections.

25%

Axonometric & Perspective Systems

Orthographic axonometry (isometric, dimetric, trimetric), reduction coefficients, isometric ellipse representation, oblique axonometry (cavalier and cabinet perspective), and central/angular conical perspective.

20%

Technical Standardization & Dimensioning

ISO/UNE technical drawing conventions, standard line types, drawing scales (enlargement/reduction), dimensioning principles and symbols, orthogonal view arrangements (First-Angle European vs Third-Angle American), cuts, and sections.

Preparing for the PAU Technical Drawing II (Andalusia) 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 58.70 base registration fee for PAU Access Phase (or ~14.70 € per subject in voluntary admission phase) set by Junta de Andalucía. 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

PAU Technical Drawing II (Andalusia): Suggested Study Strategy

1Master the fundamental properties of conic sections (foci, directrices, tangent lines, conjugate axes) and tangency theorems (Incenter, Power of a Point, Radical Axis).
2Practice dihedral system auxiliary views (abatements, plane changes, rotations) to efficiently determine true distances and true angles.
3Memorize standard axonometric reduction factors (\sqrt{2/3} \approx 0.816 for isometric without scale expansion, 1.0 for isometric expanded drawing).
4Understand UNE/ISO dimensioning conventions, ensuring dimension lines never overlap with contour lines and correct symbols (\varnothing, R, S\varnothing) are applied.
5Differentiate clearly between European (First-Angle) projection, where the right view is drawn to the left of the front view, and American (Third-Angle) projection.

Frequently Asked Questions

What is the format of the official Andalusia PAU Technical Drawing II exam?

The official PAU Technical Drawing II exam in Andalusia is a paper-based graphic drawing exam where students use drawing instruments (ruler, set squares, compass) to solve geometric and descriptive projection problems within 90 minutes. Note that this online practice bank provides an English-language multiple-choice question (MCQ) study adaptation to help students test their understanding of the underlying geometric principles, rules, and procedures.

What score is needed to pass the Technical Drawing II exam in Andalusia?

The exam is graded on a scale of 0 to 10. In the compulsory Access Phase (Fase de Acceso), a minimum score of 4.0 is required so that it can be weighted into the university admission mark (60% Bachillerato average grade + 40% PAU Access Phase grade must equal at least 5.0). In the Voluntary Admission Phase (Fase de Admisión), scores above 5.0 earn up to 2 additional points depending on university degree weighting coefficients (0.1 or 0.2).

What topics are covered in the 2nd Bachillerato Technical Drawing II curriculum?

The curriculum is divided into four main blocks: Plane Geometry & Transformations (tangencies, conics, inversion, affinity), Descriptive Geometry (Dihedral System, intersections, true metrics, polyhedra), Axonometric and Conical Perspective Systems (isometric, cavalier, perspective), and Technical Standardization & Dimensioning (ISO/UNE standards, views, cuts, sections, and dimension lines).

How much does it cost to register for the PAU exam in Andalusia?

The base registration fee set by the Junta de Andalucía for the PAU Access Phase is EUR 58.70. For candidates taking subjects in the voluntary admission phase, the fee is approximately EUR 14.70 per additional subject. Fee exemptions or reductions apply for large family status (Familia Numerosa) and disability.

Why are these practice questions presented as multiple-choice questions in English?

While official PAU exams require manual drafting in Spanish, this digital resource serves as an accessible English-language MCQ study adaptation. It allows students, international scholars, and bilingual candidates to systematically review theoretical rules, geometric definitions, transformation properties, and technical standards.