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Free Practice Questions for PAU Technical Drawing Applied to Plastic Arts (Cantabria)

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Key Facts: PAU Technical Drawing Applied to Plastic Arts (Cantabria) Exam

90 min

Exam time duration for the PAU modality-subject paper

University of Cantabria (UNICAN) PAU Organising Commission

0–10 scale

Scoring system (minimum 4.0 required in Access Phase)

Cantabria PAU Regulations

5 Blocks

Official saberes básicos blocks (RD 243/2022): Geometry, Axonometry/Dihedral, Perspective, Normalization/Scales, CAD

2º Bachillerato Artes Curriculum (LOMLOE)

100

High-quality practice questions in this OpenExamPrep subject bank

OpenExamPrep

Master the 2026 Cantabria PAU Technical Drawing Applied to Plastic Arts and Design II exam with 100 practice questions covering plane geometry, modular tessellations, axonometry, dihedral projections, conic perspective, technical normalization, scales, and CAD digital drafting. This multiple-choice study bank drills the core theoretical principles behind the practical written drawing exam.

Sample PAU Technical Drawing Applied to Plastic Arts (Cantabria) Practice Questions

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

1In design composition and applied plane geometry, what is the exact mathematical definition of the Golden Ratio (proporción áurea, φ)?
A.The ratio φ = (1 + √5) / 2, approximately equal to 1.61803
B.The ratio φ = (1 + √3) / 2, approximately equal to 1.36602
C.The ratio φ = √2, approximately equal to 1.41421
D.The ratio φ = (3 + √5) / 2, approximately equal to 2.61803
Explanation: The Golden Ratio φ (phi) is defined as (1 + √5) / 2, which equals approximately 1.61803. In applied arts and design, it represents a harmonic division where the ratio of the whole line segment to the longer part equals the ratio of the longer part to the shorter part.
2Which geometric steps construct a Golden Rectangle starting from a square ABCD of side length s?
A.Draw both diagonals AC and BD, find their intersection O, and draw a circle centered at O passing through A
B.Bisect side AB at midpoint M, draw diagonal MC to corner C, and swing an arc of radius MC centered at M to extend side AB
C.Erect a 45° angle at corner A, extend side AB by length s, and connect to vertex C
D.Construct an equilateral triangle on side AB and project its apex vertically upward by distance s
Explanation: To construct a golden rectangle from a square ABCD, bisect side AB at midpoint M. The segment MC has length s·√(1 + 1/4) = s·√5/2. Swinging an arc of radius MC centered at M extends side AB to point E such that AE = s/2 + s·√5/2 = s·φ.
3Which set of regular polygons can form regular (monohedral) tessellations of the Euclidean plane without overlaps or gaps?
A.Equilateral triangles, regular pentagons, and regular octagons
B.Squares, regular pentagons, and regular decagons
C.Equilateral triangles, squares, and regular hexagons
D.Regular hexagons, regular heptagons, and regular octagons
Explanation: Only three regular polygons can form monohedral regular tessellations of the plane: equilateral triangles (interior angle 60°), squares (90°), and regular hexagons (120°). Their interior angles divide 360° evenly (6×60°, 4×90°, 3×120°).
4Why is it impossible to create a regular monohedral tessellation using only regular pentagons?
A.Regular pentagons do not possess line symmetry across their vertices
B.The perimeter of a regular pentagon cannot be divided into an even number of modular units
C.Regular pentagons have an odd number of sides, which prevents mirror symmetry in plane grids
D.The interior angle of a regular pentagon is 108°, and 360° is not divisible by 108°
Explanation: A regular pentagon has an interior angle of 108°. At any shared vertex in a plane tessellation, the sum of surrounding interior angles must equal 360°. Since 3×108° = 324° (leaving a 36° gap) and 4×108° = 432° (an overlap), pentagons cannot cover the plane regularly.
5In applied craft design and ceramic tile layout, what constitutes an orthogonal modular network (red modular ortogonal)?
A.A grid formed by two perpendicular families of parallel lines spaced at equal modular intervals
B.A network of concentric circles intersected by radial lines at 30° increments
C.A lattice formed exclusively by equilateral triangles meeting six per vertex
D.A freeform curvilinear grid composed of overlapping Archimedean spirals
Explanation: An orthogonal modular network is a square or rectangular grid constructed from two sets of parallel lines intersecting at right angles (90°) at uniform intervals. It serves as the structural foundation for tile patterns, brickwork, textiles, and modular furniture systems.
6What is the fundamental geometric condition for a straight line r to be tangent to a circle C with center O at point T?
A.Line r must bisect the angle between radius OT and the horizontal axis
B.Line r must be perpendicular to the radius OT at the point of tangency T
C.The distance from center O to line r must be equal to twice the radius OT
D.Line r must pass through center O and intersect circle C at two opposite points
Explanation: By definition, a line r is tangent to a circle C at point T if and only if line r is perpendicular (at 90°) to the radius OT drawn to the point of contact. This ensures line r touches the circle at exactly one point.
7How is the dynamic √2 rectangle constructed from a unit square, and what is its primary application in technical drawing?
A.Its longer side equals the height of an equilateral triangle on the square; it is used exclusively for golden spiral frames
B.Its short side is doubled while keeping the diagonal constant; it defines the module for 3D isometric cubes
C.Its longer side equals the diagonal of the unit square (1 : √2 ≈ 1 : 1.414); it is the basis for ISO 216 (DIN A) paper formats
D.Its area is exactly double that of the unit square; it defines the aspect ratio of widescreen CAD viewports
Explanation: A √2 dynamic rectangle has a width-to-height ratio of 1 : √2 (approx. 1 : 1.414). Laying the diagonal of a unit square (length √1² + 1² = √2) down as the longer side creates this rectangle. When folded in half parallel to its short side, the ratio remains 1 : √2, which forms the mathematical foundation of standard ISO 216 (DIN A0 to A4) paper sizes.
8A decorative brass motif with an area of 25 cm² undergoes a homothety (homotecia) with a scale factor k = -2. What are the area and orientation of the transformed motif?
A.Area = 50 cm²; the image maintains identical direct orientation
B.Area = 100 cm²; the image is mirrored across an axis of symmetry
C.Area = 25 cm²; the image is scaled linearly by -2 without changing surface area
D.Area = 100 cm²; the image is inverted (rotated 180°) relative to the original center
Explanation: Under a homothety with scale factor k, all linear dimensions are multiplied by |k|, and the surface area is multiplied by k² = (-2)² = 4. Thus, the new area is 25 × 4 = 100 cm². Because k is negative (k = -2), the image is located on the opposite side of the center of homothety and is inverted (equivalent to a 180° rotation).
9In planar affinity (afinidad), what geometric shape is formed when a circle of radius R undergoes an affinity transformation relative to an axis e?
A.An ellipse whose major or minor axis lies along or parallel to the axis of affinity
B.A hyperbola whose asymptotes intersect at the center of affinity
C.A parabola whose vertex lies on the axis of affinity e
D.A smaller circle whose radius is reduced by the affinity ratio k
Explanation: Planar affinity compresses or stretches geometry along a specified direction of affinity relative to an axis. Under affinity, parallel lines remain parallel, but angles and distances change non-uniformly, transforming a circle into an ellipse.
10In textile and surface design, what is a super-module (supermódulo)?
A.The single smallest indivisible geometric shape in a tessellation
B.A higher-order structural unit created by grouping and arranging several basic modules according to a compositional law
C.The outer framing border surrounding a complete decorative panel
D.A digital CAD block containing rendering shaders and lighting information
Explanation: A module (módulo) is the basic elemental unit in design. A super-module (supermódulo) is formed when several modules are grouped together (via rotation, reflection, or translation) to form a larger composite unit, which is then itself repeated across a network to create complex patterns.

About the PAU Technical Drawing Applied to Plastic Arts (Cantabria) Exam

Comprehensive 100-question practice test bank for the Cantabria (Universidad de Cantabria / UNICAN) PAU exam in Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II). Formulated under Real Decreto 243/2022 (LOMLOE), this subject bridges traditional technical drawing with practical design applications in crafts, furniture, interior design, ceramics, textiles, and CAD digital drafting.

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

The Cantabria PAU exam in Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II (UNICAN) runs 90 minutes. It is a modality subject paper taken by Bachillerato de Artes students during the university access phase. The paper assesses five main blocks: plane geometry and modular structures, representation systems (dihedral and axonometric), conic perspective applied to design and space, technical drawing standards (normalisation, scales, and symbology), and computer-aided design principles.

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 71.09 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Cantabria).

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 & Modular Structures in Applied Arts (Geometría Plana y Módulos)

Proportion systems, golden ratio and dynamic root rectangles, regular and semi-regular tessellations, modular networks, tangencies, polycentric curves (ovals, ogees, spirals), and geometric plane transformations (homothety, affinity, homology, inversion, symmetry).

20%

Axonometric & Dihedral Representation in Design (Sistemas de Representación Aplicados)

Dihedral projection system fundamentals, auxiliary views, true magnitudes, plane rabatment (abatimiento), orthogonal axonometry (isometric, dimetric, trimetric), foreshortening coefficients, Cavalier perspective, technical section cuts, and exploded views for furniture and product design.

20%

Conic Perspective for Interior & Product Design (Perspectiva Cónica Aplicada)

Central (one-point) and oblique (two-point) conic perspective, horizon line, ground line, principal point, distance points, measuring points, inclined planes, visual cone limits, interior room setups, height scaling, reflections, and cast shadow constructions.

20%

Technical Normalization, Scales & Architectural/Industrial Symbology (Normalización y Escalas)

ISO and UNE technical drawing standards, reduction and enlargement scales, graphic and transversal scales, dimensioning rules (acotación), line types, ISO 216 paper formats (A0-A4), title block layouts, surface roughness, tolerances, material cross-hatching, and architectural interior symbology.

20%

CAD Systems, Digital Drafting & Layout Production (CAD y Dibujo Digital)

Vector vs raster graphics, CAD coordinate systems (Cartesian, polar, absolute, relative), Object Snap precision tools, layer management, blocks and attributes, 3D solid modeling (CSG, B-Rep, Boolean operations, extrusion, revolve, NURBS), parametric constraints, paper space viewport scaling, and vector file exchange formats (DWG, DXF, SVG, PDF).

Preparing for the PAU Technical Drawing Applied to Plastic Arts (Cantabria) 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 Cantabria PAU exam in Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II (UNICAN) runs 90 minutes. It is a modality subject paper taken by Bachillerato de Artes students during the university access phase. The paper assesses five main blocks: plane geometry and modular structures, representation systems (dihedral and axonometric), conic perspective applied to design and space, technical drawing standards (normalisation, scales, and symbology), and computer-aided design principles.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 71.09 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Cantabria). 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 Applied to Plastic Arts (Cantabria): Suggested Study Strategy

1Master scale calculations and proportion formulas: memorize E = Drawing / Real, practices conversions between mm and cm for reduction (1:5, 1:20, 1:50) and enlargement (2:1, 5:1) scales, and review the golden section φ = (1+√5)/2.
2Review dihedral projection fundamentals: practice auxiliary view changes (cambio de plano) to find true lengths and plane rabatment (abatimiento) onto PH to extract true shape polygon layouts.
3Understand conic perspective mechanics: distinguish central vs oblique perspective, learn how distance points (D) measure depth in 1-point perspective, and how measuring points (M, M') scale dimensions in 2-point perspective.
4Memorize ISO/UNE technical drawing normalization rules: continuous thick lines (visible edges), dashed lines (hidden lines), chain thin lines (symmetry axes), dimensioning rules (no crossing lines, 2mm extension overhang), and A0-A4 paper format ratios (1:√2).
5Learn key CAD concepts: relative polar coordinates (@distance<angle), Object Snap (OSNAP), CSG Boolean operations (Union, Subtract, Intersect), layers, blocks/attributes, Paper Space viewports, and vector formats (DWG, DXF, SVG).

Frequently Asked Questions

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

No, and it is important to understand the difference. The official Cantabria PAU paper for Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II is a 90-minute practical drafting examination sat on paper using drawing instruments (compass, set-squares, technical pens, rulers). Candidates must construct exact geometric figures, solve dihedral and axonometric projections, draw conic perspective views, and dimension technical parts. This bank is a multiple-choice study adaptation designed to drill the theoretical concepts, mathematical formulas, normalization rules, perspective principles, and CAD knowledge required for the subject.

What is the official subject title for this PAU exam in Cantabria, and where does it come from?

The official subject title is Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II, a 2º Bachillerato modality subject introduced nationally by Real Decreto 243/2022 (LOMLOE) for the Artes modality (specifically the Plastic Arts, Design, and Craft track). It is examined by the University of Cantabria (UNICAN) PAU Organising Commission.

How does Dibujo Técnico Aplicado differ from standard Dibujo Técnico II (Sciences track)?

While both subjects cover fundamental geometry, representation systems, and normalization, Dibujo Técnico Aplicado focuses heavily on artistic and design applications: modular tessellation and networks for ceramics/textiles, golden ratio and dynamic proportioning, conic perspective for interior space and furniture presentation, craft assembly joinery, surface finishes, and digital CAD drafting.

How is the final PAU mark calculated for university admission in Spain?

The Access Phase admission grade combines Bachillerato GPA (60%) and the PAU Access Phase mark (40%, made up of compulsory general subjects plus the modality subject). An overall mark of at least 5.0 is required to pass, and candidates can sit up to four additional Admission Phase (voluntary) subjects to boost their score up to 14 points.

What content blocks are tested on the Cantabria Dibujo Técnico Aplicado II exam?

The curriculum is structured into five blocks: 1) Geometría Plana y Módulos (plane geometry, proportions, tessellations, tangencies, curves), 2) Sistemas de Representación Aplicados (dihedral, axonometry, cuts, exploded views), 3) Perspectiva Cónica Aplicada (interior perspective, distance/measuring points, shadows), 4) Normalización y Escalas (ISO/UNE rules, scales, dimensioning, symbology), and 5) CAD y Dibujo Digital (2D vector drafting, 3D modeling, layers, layout production).

In what language is the Cantabria PAU examination offered?

In Cantabria, official PAU examination papers are provided in Spanish.

When is the Cantabria PAU 2026 exam scheduled?

The ordinary convocation runs June 2–4, 2026. The extraordinary convocation runs June 30–July 2, 2026. Session timetables are published by the University of Cantabria PAU Organising Commission.