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Free Practice Questions for Catalonia PAU Technical Drawing Applied to Plastic Arts and Design II

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

90 Min

Official examination time limit

Consell Interuniversitari de Catalunya (CIC)

0–10

Scoring range for PAU subject papers

Generalitat de Catalunya University Access

Min 4.0

Minimum score in Access Phase to combine with Bachillerat GPA

CIC Admission Criteria

EUR 110.00+ access phase (EUR 41.30 exam right + EUR 68.70 access phase; plus EUR 13.80 per admission exercise, Generalitat de Catalunya 2026)

Base registration fee for PAU Access Phase in Catalonia

Generalitat de Catalunya Fee Schedule

100

Practice questions available in this study bank

OpenExamPrep

Catalonia PAU Technical Drawing Applied to Plastic Arts and Design II tests 2n Bachillerat students on plane geometry, geometric transformations, dihedral projections, axonometry, perspective, and ISO drafting standards over 90 minutes. Official exams are practical graphic tasks in Catalan/Spanish, adapted here as English MCQs for theory and normalization review.

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

Try these sample questions to review concepts for the Catalonia 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 point of a triangle is defined as the intersection of its three interior angle bisectors and serves as the center of its inscribed circle (incircle)?
A.Incenter
B.Orthocenter
C.Circumcenter
D.Centroid
Explanation: The incenter is the point of concurrence of the three interior angle bisectors of a triangle. It is equidistant from all three sides, making it the center of the inscribed circle.
2In planar geometric constructions, what is the geometric locus of points in a plane that are equidistant from two given fixed points A and B?
A.Angle bisector
B.Perpendicular bisector of segment AB
C.Parallel line through midpoint
D.Concentric circumference
Explanation: The perpendicular bisector (mediatriu) of a line segment AB is the straight line perpendicular to segment AB at its midpoint. Every point on this line is equidistant from endpoints A and B.
3What is the ratio of golden section (divisió àuria) when dividing a line segment of length L into a major segment a and minor segment b?
A.L / a = 1.414
B.a / b = 1.500
C.L / a = a / b ≈ 1.618
D.L / a = 2.000
Explanation: The golden section divides a segment such that the ratio of the whole segment L to the larger part a is equal to the ratio of the larger part a to the smaller part b. This golden ratio phi (Φ) is approximately 1.618.
4When constructing a regular hexagon inscribed in a circle of radius R using a ruler and compass, what is the length of each side of the hexagon?
A.R * sqrt(2)
B.R * sqrt(3)
C.0.5 * R
D.R
Explanation: In an inscribed regular hexagon, each of the six central triangles formed with the center is equilateral. Therefore, the side length of the regular hexagon is exactly equal to the radius R of the circumscribed circle.
5What condition must be satisfied for two circumferences to be tangent to each other externally?
A.The distance between their centers equals the sum of their radii.
B.The distance between their centers equals the difference of their radii.
C.The distance between their centers is less than the difference of their radii.
D.The distance between their centers is greater than the sum of their radii.
Explanation: Two circles are externally tangent when they touch at exactly one point and lie on opposite sides of their common tangent line. In this case, the distance between their center points d is equal to R1 + R2.
6What is the radical axis (eix radical) of two non-concentric circumferences?
A.A circle passing through the centers of both circumferences
B.The straight line locus of points having equal power with respect to both circumferences
C.The line segment connecting the centers of both circumferences
D.The line tangent to both circumferences at their points of maximum curvature
Explanation: The radical axis of two circumferences is the straight line consisting of all points in the plane that have equal radical power with respect to both circles. It is always perpendicular to the line connecting their centers.
7Which geometric transformation converts a circle not passing through the center of inversion O into another circle?
A.Translation
B.Planar Inversion
C.Shear transformation
D.Central Homology
Explanation: In planar inversion (inversió plana) with center O and constant k, any circle that does not pass through the center of inversion O is transformed into another circle not passing through O.
8In modular surface patterns and decorative tiling (xarxes modulars), which regular polygon cannot tile a Euclidean plane by itself without gaps or overlaps?
A.Equilateral triangle
B.Square
C.Regular pentagon
D.Regular hexagon
Explanation: A regular pentagon has interior angles of 108 degrees. Because 360 is not divisible by 108 (360 / 108 = 3.33), regular pentagons cannot meet at a vertex to fill 360 degrees without gaps or overlaps.
9In tangency constructions, what is the Apollonius problem case designated as 'PPP'?
A.Constructing a circle tangent to three given lines
B.Constructing a circle passing through three given points
C.Constructing a circle tangent to three given circles
D.Constructing a circle passing through two points and tangent to one line
Explanation: The 'PPP' case of Apollonius tangency problems requires finding a circle that passes through three non-collinear given points. Its center is the circumcenter of the triangle formed by the three points.
10How many solution circumferences exist for the Apollonius problem case 'LLL' (constructing circumferences tangent to three non-parallel intersecting lines)?
A.1 solution
B.2 solutions
C.4 solutions
D.8 solutions
Explanation: Three non-parallel intersecting lines form a triangle. There are 4 solution circles tangent to all three lines: 1 incircle (inside the triangle) and 3 excircles (outside the triangle opposite each vertex).

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

The Technical Drawing Applied to Plastic Arts and Design II examination for the PAU / Selectivitat in Catalonia assesses student mastery of plane geometry, geometric transformations, conic sections, descriptive geometry (dihedral orthographic projections), spatial axonometric and perspective representations, ergonomic proportion, surface developments, and ISO technical drawing standards applied to industrial design, architecture, and visual arts.

Exam sponsor: Consell Interuniversitari de Catalunya (CIC) / Generalitat de Catalunya. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

90-minute practical graphic examination set by the Consell Interuniversitari de Catalunya (CIC). Note: The official exam consists of ruler-and-compass drawing and graphic problem-solving in Catalan/Spanish; this question bank provides an English-language multiple-choice study adaptation focusing on core principles, spatial geometry, and ISO normalization.

Time Limit

90 minutes

Passing Score

0-10 scale (min 4.0 in Access Phase to combine with Bachillerato GPA).

Exam / Certification Fees

EUR 41.30 examination right + EUR 68.70 access phase + EUR 13.80 per admission-phase exercise (Generalitat de Catalunya, PAU 2026); 50% reduction and full exemption available for eligible groups

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%

Applied Plane Geometry & Modular Constructions

Triangle constructions, notable centers, regular polygons, tangencies, radical power, inversion, golden section, and modular grid structures.

25%

Geometric Transformations & Conic Sections in Design

Planar homothety, central homology, affinity transformations, and focal/tangent constructions of ellipses, parabolas, and hyperbolas applied to design forms.

25%

Descriptive Geometry & Dihedral System Projections

Multiview orthographic projections, representation of points, lines, planes, true shapes, abatiment (rabatment), plane changes, polyhedra sectioning, and surface intersections.

25%

Spatial Systems, Ergonomics, Axonometry & Normalization

Isometric, dimetric, and cavalier axonometry, one-point and two-point conic perspective, ergonomic geometry, UNE-EN-ISO standards, dimensioning (acotació), and surface developments.

Preparing for the Catalonia PAU Technical Drawing Applied to Plastic Arts and Design II Exam

What You Need to Know

  • Passing score: 0-10 scale (min 4.0 in Access Phase to combine with Bachillerato GPA).
  • Assessment: 90-minute practical graphic examination set by the Consell Interuniversitari de Catalunya (CIC). Note: The official exam consists of ruler-and-compass drawing and graphic problem-solving in Catalan/Spanish; this question bank provides an English-language multiple-choice study adaptation focusing on core principles, spatial geometry, and ISO normalization.
  • Time limit: 90 minutes
  • Exam / certification fees: EUR 41.30 examination right + EUR 68.70 access phase + EUR 13.80 per admission-phase exercise (Generalitat de Catalunya, PAU 2026); 50% reduction and full exemption available for eligible groups Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
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Catalonia PAU Technical Drawing Applied to Plastic Arts and Design II: Suggested Study Strategy

1Master fundamental geometric constructions, including Apollonius tangency cases, radical axis determination, planar inversion, and golden ratio proportions.
2Practice transformation geometry (homology, homothety, and affinity) to solve complex shape transformations and ellipse constructions efficiently.
3Develop rapid visual analysis in dihedral projections, focusing on auxiliary views, rotations, and abatiment (rabatment) for true length and shape determinations.
4Review axonometric reduction coefficients and conic perspective elements (horizon line, vanishing points, distance points, and ground line).
5Study ISO/UNE dimensioning (acotació) rules, line type applications, section hatching, and surface developments of geometric solids.

Frequently Asked Questions

What is the duration and structure of the PAU Technical Drawing Applied to Plastic Arts II exam in Catalonia?

The official exam lasts 90 minutes and is administered by the Consell Interuniversitari de Catalunya (CIC). It consists of practical graphic drawing problems evaluating plane geometry, transformations, dihedral system projections, axonometric and conic perspective, and ISO normalization.

Is the official exam multiple-choice or graphic drawing?

The official PAU exam is a hands-on graphic examination conducted in Catalan or Spanish using drawing instruments. This practice collection provides an English-language multiple-choice adaptation designed to test theoretical knowledge, geometric rules, spatial vision, and drafting normalization.

What passing score is required for the PAU Access Phase in Catalonia?

The exam is graded on a 0 to 10 scale. A minimum grade of 4.0 is required in the Access Phase to calculate the overall university entrance grade (60% Bachillerat GPA + 40% PAU Access Phase >= 5.0).

What is the registration fee for the PAU in Catalonia?

The Generalitat de Catalunya, through the Consell Interuniversitari de Catalunya (CIC), sets the 2026 PAU ordinary fees at EUR 41.30 examination right, EUR 68.70 access phase, and EUR 13.80 per admission-phase exercise. A 50% reduction and a full exemption are available for eligible groups such as large families (família nombrosa general), scholarship holders, and students with a recognised disability of 33% or more.

How does Technical Drawing Applied to Arts and Design II differ from standard Technical Drawing II?

The Arts and Design curriculum focuses on applied graphic composition, modular networks, geometric transformations (homology and affinity), ergonomic proportion (golden section), surface developments, and practical drafting applications for product design, interior design, and visual arts.