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Free Practice Questions for Cantabria PAU Technical Drawing II (Dibujo Técnico II)

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Key Facts: Cantabria PAU Technical Drawing II (Dibujo Técnico II) Exam

UNICAN 2026

University of Cantabria PAU Organising Commission authority

UNICAN PAU Regulations

90 Mins

Official examination duration

UNICAN PAU Regulations

Min 4.0

Minimum Access Phase score required to calculate university admission mark

UNICAN Admission Regulations

5 Blocks

Plane Geometry, Dihedral, Axonometry, Conic Perspective, Normalization

LOMLOE 2º Bachillerato Syllabus

100

Practice questions available in this OpenExamPrep bank

OpenExamPrep

The Cantabria PAU Technical Drawing II exam evaluates core competency across plane geometry, dihedral system, axonometric projection, conic perspective, and ISO drafting standards for 2º Bachillerato students. This English-language MCQ bank is a study adaptation of the knowledge behind the official written exam, not a format simulation.

Sample Cantabria PAU Technical Drawing II (Dibujo Técnico II) Practice Questions

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

1What is the name of the intersection point of a triangle’s three side perpendicular bisectors, and what fundamental property does it have?
A.Circumcenter; it is the center of the circle circumscribed about the triangle.
B.Incenter; it is the center of the circle inscribed in the triangle.
C.Orthocenter; it is the intersection of the triangle’s three altitudes.
D.Centroid; it is the center of gravity and intersection of the medians.
Explanation: The circumcenter is equidistant from all three vertices, so it is the center of the circumscribed circle.
2Which triangle center is obtained as the intersection of its interior angle bisectors?
A.Orthocenter.
B.Incenter.
C.Circumcenter.
D.Centroid.
Explanation: The incenter is the intersection of the interior angle bisectors and center of the inscribed circle.
3The centroid G divides each median of a triangle into two segments. What is the ratio of the distance from the centroid to the vertex relative to the opposite side?
A.The centroid is halfway along the median from vertex to side.
B.The centroid is 3/4 of the median from the vertex and 1/4 from the side.
C.The centroid is 2/3 of the median’s total length from the vertex and 1/3 from the midpoint of the opposite side.
D.The centroid is exactly equidistant from the vertex and the triangle’s circumcenter.
Explanation: On each median, VG = 2·GM, i.e., 2/3 from vertex and 1/3 from the side midpoint.
4Given a circle of center O and radius R, and an exterior point P at distance d from O, what is the mathematical expression for the power of P with respect to that circle?
A.Pot(P) = d + R.
B.Pot(P) = d² + R².
C.Pot(P) = (d - R)².
D.Pot(P) = d² - R².
Explanation: Power of a point is Pot(P)=d²−R² (positive outside, zero on, negative inside).
5What geometric property characterizes the radical axis of two non-concentric circles?
A.It is the locus of points in the plane with equal power with respect to both circles, and is always perpendicular to the line of centers.
B.It is a line oblique to the line joining the centers of both circles.
C.It is a common tangent circle to both given circles.
D.It is the segment joining the midpoints of the radii of both circles.
Explanation: The radical axis is the equal-power locus and is perpendicular to the line of centers.
6In a planar homothety of center O and ratio k (k ≠ 0), what relationship exists between any original line and its transformed (homologous) line?
A.They are always perpendicular to each other.
B.They are always parallel to each other.
C.They intersect forming an angle equal to the ratio k.
D.They are concentric with respect to center O.
Explanation: Homothety maps every line to a strictly parallel homologous line.
7How is the radical center of three circles whose centers are not collinear defined and determined?
A.It is the intersection of the perpendicular bisectors of the segments joining their three centers.
B.It is the centroid of the triangle formed by the three circle centers.
C.It is the unique intersection of the three radical axes taken pairwise, from which equal-length tangents can be drawn to all three circles.
D.It is the center of the circle passing through the centers of the three given circles.
Explanation: The radical center is the common intersection of the three pairwise radical axes (equal power to all three circles).
8In every non-equilateral triangle, which notable centers always lie on Euler’s line and in what relative order?
A.Incenter, centroid and orthocenter.
B.Circumcenter, incenter and orthocenter, with the incenter midpoint of the other two.
C.Centroid, incenter and circumcenter forming a golden ratio.
D.Orthocenter (H), centroid (G) and circumcenter (O), with G between H and O such that HG = 2·GO.
Explanation: Euler’s line contains H, G and O with HG=2·GO.
9Given a planar inversion of center O and constant K>0, what is the inverse figure of a line r that does NOT pass through the inversion center O?
A.A circle that passes through inversion center O and whose diameter on the perpendicular from O to r passes through O.
B.Another line r′ parallel to the original line r.
C.A parabola with focus at inversion center O.
D.A circle concentric with the circle of double points.
Explanation: The inverse of a line not through O is a circle through O.
10In planar inversion, what happens if we invert a circle c that passes through the inversion center O?
A.It transforms into a single point coincident with O.
B.It transforms into a line that does not pass through O and is perpendicular to the diameter of c through O.
C.It transforms into a high-eccentricity ellipse.
D.It transforms into another identical displaced circle.
Explanation: By reciprocity, a circle through O inverts to a line not through O.

About the Cantabria PAU Technical Drawing II (Dibujo Técnico II) Exam

The Cantabria PAU Technical Drawing II (Dibujo Técnico II 2º Bachillerato UNICAN) practice bank provides comprehensive preparation for students sitting the Spanish university entrance exam in Cantabria. It evaluates mastery of plane geometry (tangency, power of a point, inversion, conics), dihedral system (intersections, true lengths, changes of plane, rebattments, sectioning of polyhedra), axonometric projections, conic perspective, and ISO drafting standards.

Exam sponsor: University of Cantabria (UNICAN) PAU Organising Commission. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

90-minute examination divided into 5 core thematic units: Plane Geometry, Polygons & Tangency Transformations (20%), Descriptive Geometry & Dihedral System (20%), Axonometric Systems (20%), Conic Perspective & Central Projection (20%), and Technical Normalization, ISO Standards, Dimensioning & Sectioning (20%).

Time Limit

90 minutes

Passing Score

Marked on a 0–10 scale. Minimum 4.0 required in Access Phase.

Exam / Certification Fees

EUR 71.09 base registration fee for PAU Access Phase.

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.

20%

Plane Geometry, Polygons & Tangency Transformations

Polygons, triangle properties and centers, tangency and radical power, inversion in the plane, geometric transformations (homothety, homology, affinity), and conic sections (ellipse, hyperbola, parabola).

20%

Descriptive Geometry & Dihedral System

Point, line, and plane representations, relative positions, intersections, parallelism, perpendicularity, distances, angles, auxiliary plane changes, rotations, rebattments, and polyhedra and curved surfaces.

20%

Axonometric Systems: Isometric, Dimetric & Oblique Projections

Isometric, dimetric, and trimetric projections, reduction coefficients, axonometric triangle of traces, Cavalier projection (perspectiva caballera), and sectioning of bodies.

20%

Conic Perspective & Central Projection

Picture Plane, Horizon Line, Ground Line, Station Point, Principal Point, distance points, 1-point (frontal) and 2-point (oblique) conic perspectives, measuring points, and central homologies.

20%

Technical Normalization, ISO Standards, Dimensioning & Sectioning

ISO 128/129 line conventions, European (First Angle) vs American (Third Angle) projection systems, dimensioning rules, full/half sectioning, non-sectioned standard elements, and ISO tolerances.

Preparing for the Cantabria PAU Technical Drawing II (Dibujo Técnico II) Exam

What You Need to Know

  • Passing score: Marked on a 0–10 scale. Minimum 4.0 required in Access Phase.
  • Assessment: 90-minute examination divided into 5 core thematic units: Plane Geometry, Polygons & Tangency Transformations (20%), Descriptive Geometry & Dihedral System (20%), Axonometric Systems (20%), Conic Perspective & Central Projection (20%), and Technical Normalization, ISO Standards, Dimensioning & Sectioning (20%).
  • Time limit: 90 minutes
  • Exam / certification fees: EUR 71.09 base registration fee for PAU Access Phase. 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

Cantabria PAU Technical Drawing II (Dibujo Técnico II): Suggested Study Strategy

1Practice fundamental plane geometry constructions including Apollonius tangency problems, inversion, and conic sections (focal properties).
2Master dihedral system methods (auxiliary plane changes, rotations, and rebattments) to determine true lengths, angles, and real shapes of cross-sections.
3Understand reduction coefficients and axis orientations in isometric, dimetric, and Cavalier projections.
4Review ISO 128/129 drafting standards, line types, dimensioning rules, and sectioning conventions.

Frequently Asked Questions

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

No, and it is important to know the difference. The official Cantabria PAU paper, organised by the University of Cantabria (UNICAN), is a 90-minute examination sat in Spanish (or in the target language for foreign-language papers) and built around open and semi-constructed written tasks that must be answered and justified in full. Under Real Decreto 534/2024, open and semi-constructed responses must account for at least 70% of every paper, so the real exam is not a multiple-choice test. This bank is an English-language multiple-choice study adaptation of the 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 the official written, oral, graphic, practical, or performance tasks separately, because that is what the examiners actually mark.

What is the fee for taking the PAU exam in Cantabria (UNICAN 2026)?

The base registration fee for the PAU Access Phase is EUR 71.09, as set by the University of Cantabria (UNICAN) PAU Organising Commission.

What passing score is required on the PAU Technical Drawing II exam in Cantabria?

The exam is marked on a 0–10 scale. A minimum score of 4.0 is required in the Access Phase to combine with the Bachillerato GPA.

What is the duration of the PAU Dibujo Técnico II exam?

The examination duration is 90 minutes.

Which university administers the PAU in Cantabria?

The examination is organized by the University of Cantabria (UNICAN) PAU Organising Commission.