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Free Practice Questions for Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026)

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Key Facts: Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Exam

90 min

Official PAU Technical Drawing II exam duration

Tribunal PAU Universidad de Castilla-La Mancha

0–10

Grading scale (minimum 4.0 to be weighted)

Normativa Académica UCLM

52.99 €

Base registration fee for the UCLM Access Phase

UCLM 2026

100

Practice questions in this assessment bank

OpenExamPrep

Prepare for the UCLM 2026 PAU Technical Drawing II exam with 100 high-quality practice questions covering plane geometry, dihedral projections, axonometric views, and technical normalization standards. This English-language multiple-choice bank is a study adaptation of the official written PAU paper, not a replica of it.

Sample Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Practice Questions

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

1What is the intersection point of the three perpendicular bisectors of the sides of a triangle called?
A.Circumcenter.
B.Incenter.
C.Orthocenter.
D.Centroid.
Explanation: The circumcenter is the point where the three perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumscribed circle (circumcircle).
2What geometric property characterizes the points belonging to an arc of a constant angle α (arc capable of angle α) subtended by a segment AB?
A.The sum of the distances from any point on the arc to A and B is constant.
B.From any point on the arc, segment AB is viewed under the same angle α.
C.The product of the distances from any point on the arc to A and B is constant.
D.From any point on the arc, segment AB is viewed under an angle of 90° - α.
Explanation: By definition, the arc of a constant angle α (arc capable) for a segment AB is the locus of points from which segment AB is subtended under a constant angle α.
3In a plane homology transformation defined by center O, axis e, and a pair of homologous points A and A', what happens to two parallel lines r and s?
A.They always transform into two parallel lines.
B.Their homologous lines r' and s' intersect at a point located on the vanishing line (línea límite).
C.They transform into two concentric circles.
D.Their homologous lines intersect at a point located on axis e.
Explanation: In plane homology, parallel lines intersect at a point at infinity, whose homologous image is a point on the vanishing line. Therefore, their homologous lines intersect at that point on the vanishing line.
4In a plane homothety with center O and scale factor k = -2, how does the resulting figure compare to the original figure?
A.It is smaller and maintains the same orientation.
B.It is twice as large, rotated 90°, and inverted.
C.It is twice as large and inverted (rotated 180°) with respect to the center O.
D.It preserves the exact same size and orientation.
Explanation: Since the scale factor k is negative (|k| = 2), distances are multiplied by 2 and homologous points lie on opposite sides of center O, resulting in an inverted figure (rotated 180°).
5What is the radical axis of two non-concentric circles?
A.The locus of points in the plane that have equal power with respect to both circles.
B.The straight line connecting the centers of both circles.
C.A circle whose radius is the geometric mean of the radii of both circles.
D.The straight line that divides both circles into regions of equal area.
Explanation: The radical axis is defined as the locus of points in the plane having equal power with respect to two given circles. It is always a straight line perpendicular to the line connecting their centers.
6How many radical axes intersect to determine the radical center of three non-collinear circles?
A.One.
B.Three radical axes that concur at a single point.
C.Four radical axes.
D.Two exterior tangent lines.
Explanation: The three radical axes formed by considering the circles in pairs concur at a single point known as the radical center.
7What is the definition of the locus of points that forms an ellipse?
A.Points whose difference of distances to two fixed points (foci) is constant.
B.Points whose distance to a fixed point (focus) equals their distance to a fixed line (directrix).
C.Points whose sum of distances to two fixed points (foci) is constant and equal to 2a.
D.Points whose product of distances to two foci is a given constant.
Explanation: An ellipse is the locus of points P in the plane such that the sum of their distances to two fixed points F and F' (foci) is constant and equal to the length of the major axis (2a).
8What is the eccentricity e of a parabola?
A.e = 0.
B.0 < e < 1.
C.e = 1.
D.e > 1.
Explanation: By the focal definition of a conic, the eccentricity of a parabola is exactly e = 1, since any point on it is equidistant from the focus and the directrix (d(P,F)/d(P,d) = 1).
9In dividing a segment AB in extreme and mean ratio (golden section), what is the approximate numerical value of the golden ratio Φ?
A.1.414.
B.1.732.
C.2.718.
D.1.618.
Explanation: The golden ratio is mathematically expressed as Φ = (1 + √5) / 2 ≈ 1.61803398...
10In any triangle, the sum of interior angles is 180°. How are the orthocenter and circumcenter located in an obtuse triangle?
A.Both points lie outside the triangle.
B.The orthocenter lies inside and the circumcenter lies outside.
C.The circumcenter lies on the hypotenuse and the orthocenter at the vertex of the obtuse angle.
D.Both points lie exactly at the midpoint of the longest side.
Explanation: In an obtuse triangle, both the orthocenter and the circumcenter lie outside the region of the triangle: the circumcenter lies outside facing the obtuse angle, and the orthocenter lies outside behind the vertex of the obtuse angle.

About the Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Exam

Comprehensive question bank for the Castilla-La Mancha PAU Technical Drawing II exam (UCLM 2026). Includes 100 multiple-choice questions covering plane geometry, tangencies, conic sections, descriptive geometry in dihedral projection, orthogonal and oblique axonometry, and UNE/ISO technical drafting and dimensioning rules.

Exam sponsor: University of Castilla-La Mancha PAU Tribunal. 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 Castilla-La Mancha (UCLM) tests 2º Bachillerato Technical Drawing competencies. It features 4 core topic areas: Plane Geometry, Tangencies & Conic Sections (30%), Dihedral Projection System (Systema Diédrico) (35%), Axonometric & Isometric Systems (20%), and Technical Standardization & Dimensioning (Normas UNE/ISO) (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 Access Phase >= 5.0 to pass).

Exam / Certification Fees

EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha).

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 & Conic Sections

Polygons, triangle centers, fundamental geometric transformations (homothety, affinity, inversion), tangency problems (Apollonius cases, power of a point, radical axis), and conic sections (ellipse, hyperbola, parabola).

35%

Dihedral Projection System (Systema Diédrico)

Representation of points, lines, and planes, relative positions, intersections, parallelism and perpendicularity, true distances and angles, auxiliary plane changes, rotations, rebattments, and polyhedra/surfaces sections.

20%

Axonometric & Isometric Systems

Orthogonal axonometry (isometric, dimetric, trimetric), axonometric triangle of traces, scales and reduction factors, oblique axonometry (Cavalier projection), and sectioning of solids in axonometric view.

15%

Technical Standardization & Dimensioning (Normas UNE/ISO)

Standard views representation (European/First angle vs American/Third angle), line types and thickness conventions (ISO 128), dimensioning rules and elements (ISO 129), full and half sections, and standardized mechanical details.

Preparing for the Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 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 Access Phase >= 5.0 to pass).
  • Assessment: The PAU Technical Drawing II exam for Castilla-La Mancha (UCLM) tests 2º Bachillerato Technical Drawing competencies. It features 4 core topic areas: Plane Geometry, Tangencies & Conic Sections (30%), Dihedral Projection System (Systema Diédrico) (35%), Axonometric & Isometric Systems (20%), and Technical Standardization & Dimensioning (Normas UNE/ISO) (15%).
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha). 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

Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026): Suggested Study Strategy

1Master fundamental plane geometry constructions: triangle centers, power, radical axis and center, inversion, and tangencies (Apollonius cases).
2Systematically practice dihedral system methods: plane changes, rotations, and rebattments to determine true magnitudes of distances, angles, and polyhedra sections.
3Understand the difference between orthogonal axonometry (isometric, dimetric) and oblique (cavalier perspective), correctly applying reduction coefficients.
4Memorize and apply UNE/ISO dimensioning standards (ISO 129), line types (ISO 128), view representation (European system), and cuts and sections.

Frequently Asked Questions

What is the structure of the PAU Technical Drawing II exam in Castilla-La Mancha (UCLM)?

The exam lasts 90 minutes and assesses 4 topic blocks: Plane Geometry, Tangencies and Conics (30%), Dihedral System (35%), Axonometric and Isometric Systems (20%), and Technical Standardization and Dimensioning (15%).

How is the exam graded and what mark is required to pass?

It is graded on a 0 to 10 scale. A minimum mark of 4.0 in the Access Phase is required to be weighted with the Bachillerato average (60% Bachillerato + 40% PAU >= 5.0).

What is the exam fee at UCLM?

The base registration fee for the Access Phase is EUR 52.99 for the ordinary sitting set by the Universidad de Castilla-La Mancha.

In which language is the exam administered?

The official exam and all of its questions are presented and answered in Spanish (es).

Are these 100 questions adapted to the official UCLM 2026 curriculum?

Yes, the 100-question bank rigorously follows the specifications matrix for 2º Bachillerato Technical Drawing II for the UCLM 2026 PAU.

Is this practice bank in the same format as the real Castilla-La Mancha PAU Technical Drawing II exam?

No. The official Castilla-La Mancha PAU Technical Drawing II paper is a 90-minute written examination in Spanish consisting of open-ended, semi-constructed, and short-answer questions — not multiple choice. This bank is an English-language multiple-choice adaptation designed to test and reinforce the core concepts and skills of the 2º Bachillerato curriculum.