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

90 Min

Official exam duration for UIB PAU Technical Drawing II paper

UIB PAU Organising Commission

0–10

Scoring scale for PAU subject examinations

Spanish University Access Regulations

4.0

Minimum score required in Access Phase to combine with Bachillerato GPA

UIB PAU Regulations

0.2

Maximum admission weighting coefficient for Design and Architecture degrees

UIB University Admission Guide 2026

100

Original practice questions in this OpenExamPrep subject bank

OpenExamPrep

Balearic PAU Technical Drawing Applied to Plastic Arts and Design II tests 2º Bachillerato students on plane geometry, multiview projections, axonometric and conic perspective, and design normalization over 90 minutes.

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

Try these sample questions to review concepts for the 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 triangle center is defined as the point of intersection of the three interior angle bisectors (bisectrices) of a triangle?
A.Incenter (Incentro)
B.Circumcenter (Circuncentro)
C.Centroid (Baricentro)
D.Orthocenter (Ortocentro)
Explanation: The incenter (incentro) is the intersection point of the three interior angle bisectors of a triangle. It is equidistant from all three sides and serves as the center of the inscribed circle (circunferencia inscrita).
2In plane geometry, the circumcenter (circuncentro) of a triangle is determined by the intersection of which set of lines?
A.Altitudes (Alturas)
B.Perpendicular bisectors of the sides (Mediatrices)
C.Medians (Medianas)
D.Interior angle bisectors (Bisectrices)
Explanation: The circumcenter is the point of concurrency of the perpendicular bisectors (mediatrices) of the triangle's sides. It is equidistant from the three vertices and is the center of the circumscribed circle.
3According to the properties of the Euler Line (Línea de Euler) in a non-equilateral triangle, which three notable points are always collinear?
A.Incenter, Centroid, Fermat Point
B.Incenter, Circumcenter, Centroid
C.Orthocenter, Centroid, Circumcenter
D.Orthocenter, Incenter, Excenter
Explanation: In any non-equilateral triangle, the orthocenter (H), centroid (G), and circumcenter (O) lie on a single line called the Euler Line. Furthermore, the centroid divides the segment HO in a 2:1 ratio such that HG = 2 * GO.
4When constructing a regular hexagon inscribed in a circle of radius R using a compass, what is the length of each side of the hexagon?
A.R / 2
B.R * sqrt(2)
C.R * sqrt(3)
D.R
Explanation: A regular hexagon consists of six equilateral triangles sharing a central vertex. Consequently, the side length of an inscribed regular hexagon is exactly equal to the radius R of its circumscribed circle.
5In geometric constructions, dividing a segment AB in golden section (sección áurea) results in a major segment AC such that AB / AC equals which exact mathematical ratio?
A.(1 + sqrt(5)) / 2 ≈ 1.618
B.(1 + sqrt(3)) / 2 ≈ 1.366
C.sqrt(2) ≈ 1.414
D.(sqrt(5) - 1) / 2 ≈ 0.618
Explanation: The golden section (sección áurea) divides a segment such that the ratio of the whole segment AB to the larger part AC equals the ratio of the larger part AC to the smaller part CB. This ratio is Phi (Φ) = (1 + √5) / 2 ≈ 1.618033.
6To construct a triangle given its base AB, altitude h_c, and opposite vertex angle C = 60°, which locus (lugar geométrico) must be constructed above the base AB?
A.A circle centered at the midpoint of AB with radius h_c
B.An arc of constant angle (arco capaz) of 60° for segment AB
C.A parabola with focus at A and directrix at B
D.An ellipse with foci at A and B
Explanation: The locus of points from which segment AB is viewed under a constant angle C (60°) is the 'arco capaz' of 60° for segment AB. Intersecting this arc with a line parallel to AB at distance h_c determines the third vertex C.
7Which property of a regular pentagon allows its exact construction using ruler and compass?
A.Its area is equal to three times the area of an equilateral triangle
B.Its interior angles are 120°
C.The ratio between its diagonal and its side is the Golden Ratio (Φ)
D.Its side is equal to the radius of its circumscribed circle
Explanation: In a regular pentagon, the ratio of the length of any diagonal to the length of any side is exactly the golden ratio Φ = (1 + √5)/2. Ruler and compass constructions leverage this golden ratio relationship.
8What is the angle formed between a tangent line to a circle and the radius drawn to the point of tangency?
A.180° (Parallel)
B.45°
C.60°
D.90° (Perpendicular)
Explanation: A fundamental theorem of circle geometry states that a tangent line to a circle is always perpendicular (forms a 90° angle) to the radius drawn to the point of tangency.
9The radical axis (eje radical) of two non-concentric circles is defined as the locus of points having what property with respect to the two circles?
A.Equal power (potencia) with respect to both circles
B.Sum of distances to the tangents equal to zero
C.Product of radii equal to the distance between centers
D.Equal distance to the two centers
Explanation: The radical axis of two circles is the straight line consisting of all points that have equal power (potencia) with respect to both circles. From any point on the radical axis, tangent segments drawn to both circles have equal length.
10If a point P is located at a distance d = 10 cm from the center of a circle of radius R = 6 cm, what is the power of point P (potencia de P) with respect to the circle?
A.16 cm²
B.64 cm²
C.100 cm²
D.36 cm²
Explanation: The power of an external point P relative to a circle of radius R and center O at distance d = OP is given by P = d² - R². Substituting d = 10 and R = 6 yields P = 10² - 6² = 100 - 36 = 64 cm².

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

The Technical Drawing Applied to Plastic Arts and Design II examination for the Selectividad / PAU in the Balearic Islands (UIB) assesses student competence in plane geometry, geometric transformations (affinity, homology), orthographic representation systems, sections and dimensioning, isometric/cavalier/conic perspective, and drafting applications in industrial design, ergonomics, and crafts.

Exam sponsor: PAU Organising Commission of the Balearic Islands / UIB. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

90-minute examination structured into technical drawing exercises including planar geometry, transformation geometry, multiview orthographic projections, axonometric and conic perspective drawing, and graphic normalization applied to design and plastic arts. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation.

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 69.21 ordinary registration fee (Access Phase); EUR 13.85 per additional Admission Phase subject paper (UIB 2026)

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%

Geometry & Transformations

Triangle constructions, notable centers, tangencies, radical axis, power of a point, inversion, conic sections (ellipse, parabola, hyperbola), and geometric transformations (homothety, homology, affinity).

25%

Projection Systems & Normalization

Dihedral projection system, multiview representation (European and American systems), plane positions, true shapes, rabatment (abatimiento), cuts, sections, line types, and ISO dimensioning (acotación).

25%

Axonometric & Perspective Projection

Isometric, dimetric, trimetric, and cavalier oblique projections, scale factors and reduction coefficients, conic perspective (one-point, two-point, three-point), horizon lines, distance points, and shadow representation.

25%

Design Applications & Technical Drafting

Surface development (desarrollo) of polyhedra and curved surfaces, intersection curves, ergonomics in drafting, anthropometrics, modular grids, assembly drawings, bill of materials, and industrial design prototyping.

Preparing for the 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 examination structured into technical drawing exercises including planar geometry, transformation geometry, multiview orthographic projections, axonometric and conic perspective drawing, and graphic normalization applied to design and plastic arts. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 69.21 ordinary registration fee (Access Phase); EUR 13.85 per additional Admission Phase subject paper (UIB 2026) Official sources

Using Our Practice Resources

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PAU Technical Drawing Applied to Plastic Arts and Design II: Suggested Study Strategy

1Master ruler-and-compass geometric constructions, especially tangency problems, radical axis, and planar affinity/homology transformations.
2Practice dihedral projection view layout and rabatment (abatimiento) to quickly derive true shapes and distances.
3Understand ISO 128 graphic standards for line styles, cuts, sections, and ISO 129 dimensioning (acotación) rules.
4Train drawing speed for isometric and conic perspective layouts to complete full graphical problems within the 90-minute time limit.
5Review surface developments (desarrollos) of cones, cylinders, and pyramids alongside basic industrial design assembly callouts.

Frequently Asked Questions

Are these official Balearic Islands PAU exam questions?

Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Balearic Islands PAU paper, not an official translation or format simulation. Use official UIB past papers and subject matrices for open-response, listening, graphic, and performance practice.

What is the duration and structure of the PAU Technical Drawing II exam at UIB?

The examination lasts 90 minutes (1.5 hours). It consists of practical graphic drawing problems and technical questions evaluating plane geometry, orthographic projection, axonometric or conic perspective, and ISO normalization.

What tools and materials are permitted during the drawing exam?

Students must bring standard drawing instruments including compass (compás), set squares (escuadra y cartabón), ruler (regla graduada), protractor, pencils (HB, 2H), eraser, and non-programmable scientific calculator if specified.

What is the passing score requirement for PAU Access Phase in the Balearic Islands?

The PAU paper is scored from 0 to 10 points. In the Access Phase, a minimum mark of 4.0 is required to average with the Bachillerato GPA (weighted 60% Bachillerato + 40% PAU, requiring a final composite score >= 5.0).

How are language options handled for PAU exams in the Balearic Islands?

Examinations are offered in both official languages of the Balearic Islands: Catalan (Català) and Spanish (Castellano). Students receive exam sheets in their preferred language.

Does this subject count for university admission weighting (Admisibilitat / Fase d'Admissió)?

Yes, Technical Drawing Applied to Plastic Arts and Design II is a specific modality subject in the Bachillerato of Arts (Plastic Arts, Image, and Design track). It frequently carries a high weighting (weighting coefficient 0.2) for admission into Fine Arts, Design, Architecture, and Engineering degrees.