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Free Practice Questions for PAU Technical Drawing Applied to Plastic Arts II (Valencian Community)

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Key Facts: PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) Exam

90 min

Exam duration for the PAU Dibujo Técnico Aplicado a las Artes Plásticas paper

Valencian Community PAU Managing Commission (Universitats GVA)

0–10 scale

Scoring system (minimum 4.0 in Access Phase to combine with Bachillerato GPA)

Generalitat Valenciana University Admission Regulations

4 Core Modules

Plane Geometry, Descriptive Geometry, Normalization & Sketching, Applied CAD

2º Bachillerato LOMLOE Valencian Arts Curriculum

100

High-quality practice questions in this OpenExamPrep subject bank

OpenExamPrep

Master the 2026 Valencian Community PAU Technical Drawing Applied to Plastic Arts and Design II exam with 100 practice questions covering plane geometry, tangencies, descriptive geometry, technical sketching, normalization rules, and CAD applications. Note: This question bank serves as an English-language practice adaptation for the official Valencian PAU exam.

Sample PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) Practice Questions

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

1In applied plane geometry, what fundamental geometric condition must be satisfied for a circle to be tangent to a given straight line at a specific point T?
A.The center of the circle must lie on the normal (perpendicular) line drawn to the tangent line at point T.
B.The center of the circle must lie on a parallel line located at a distance equal to the circle's diameter.
C.The radius to point T must form an angle of 45° with the tangent line.
D.The chord passing through point T must equal half the circumference length.
Explanation: By definition of tangency in plane geometry, the radius connecting the circle's center to the tangency point T is strictly perpendicular to the tangent line. Therefore, the center of any tangent circle must lie along the line perpendicular to the tangent line at T.
2When two circles are tangent to each other at a single contact point T, what is the geometric relationship between their centers and point T?
A.The centers of both circles and the point of tangency T are strictly collinear.
B.The line segment connecting the centers forms a 45° angle with the common tangent line.
C.The point of tangency T is always the exact midpoint between the two centers.
D.The line connecting the centers is parallel to the common tangent line.
Explanation: For any two tangent circles (whether internally or externally tangent), the point of tangency T lies on the straight line passing through both of their centers. This line of centers is perpendicular to the common tangent line at T.
3What is the exact value of the Golden Ratio (Phi, Φ), which defines harmonic proportion in classical plastic arts and geometric constructions?
A.Φ = (1 + √5) / 2 ≈ 1.618
B.Φ = (1 + √3) / 2 ≈ 1.366
C.Φ = √2 ≈ 1.414
D.Φ = (1 + √2) / 2 ≈ 1.207
Explanation: The Golden Ratio Φ is defined algebraically by dividing a segment into extreme and mean ratio, giving the formula Φ = (1 + √5) / 2, which approximates to 1.6180339...
4In plane inversion centered at point O with a positive power of inversion K, what is the defining relationship between a point P and its inverse point P'?
A.Points O, P, and P' are collinear on the same side of O, and the distance product OP · OP' = K.
B.Points P and P' lie on opposite sides of O at equal distances OP = OP' = K.
C.The distance sum OP + OP' = K along a ray perpendicular to OP.
D.Points P and P' form an equilateral triangle with center O where side length is K.
Explanation: Plane inversion with center O and positive power K transforms any point P (except O) into a point P' along the ray OP such that the product of their distances from O equals K (OP · OP' = K).
5If a design object measuring 2.4 meters in real life is drawn at a scale of 1:20 (E = 1/20), what is its length on the technical drawing in millimeters?
A.120 mm
B.48 mm
C.240 mm
D.12 mm
Explanation: First convert 2.4 meters to millimeters: 2.4 m = 2400 mm. Applying the reduction scale E = 1:20: Drawing length = 2400 mm / 20 = 120 mm.
6In an ellipse, what is the geometric relationship between the semi-major axis 'a', semi-minor axis 'b', and focal distance 'c' (distance from center to a focus)?
A.a² = b² + c²
B.c² = a² + b²
C.b² = a² + c²
D.a = b + c
Explanation: In any ellipse, the distance from a co-vertex (end of minor axis) to either focus is equal to the semi-major axis length 'a'. Applying the Pythagorean theorem to the right triangle formed by semi-minor axis 'b', focal distance 'c', and hypotenuse 'a' gives a² = b² + c².
7Applying a plane homothety transformation centered at O with scaling ratio k = -1 produces which equivalent geometric transformation?
A.Central symmetry (point reflection) centered at O, equivalent to a 180° rotation around O.
B.Reflection across a line passing through O.
C.Translation along the vector connecting O to the origin.
D.A 90° counterclockwise rotation around O.
Explanation: A homothety with ratio k = -1 scales all vectors from O by 1 in the opposite direction (OP' = -OP). This is geometrically identical to central symmetry (point reflection) about O or a 180° rotation centered at O.
8What is the relationship between the side length 's' of a regular hexagon and the radius 'R' of its circumscribed circle?
A.The side length is exactly equal to the radius (s = R).
B.The side length is equal to R · √2.
C.The side length is equal to R / 2.
D.The side length is equal to R · √3.
Explanation: A regular hexagon can be partitioned from its center into 6 congruent equilateral triangles. Therefore, each side length 's' is equal to the distance from the center to any vertex, which is the circumscribed radius R (s = R).
9To construct the two tangent lines from an exterior point P to a circle C with center O and radius R, what auxiliary circle construction is performed?
A.Draw the Thales circle (auxiliary circle) with diameter OP; its intersections with circle C yield the exact tangency points.
B.Draw a circle centered at P with radius R; its intersections with C yield the tangency points.
C.Draw a circle centered at O with radius 2R and intersect it with the segment OP.
D.Draw concentric circles at P and O with radii equal to OP / 2.
Explanation: By Thales' theorem, any angle inscribed in a semicircle is a right angle (90°). Drawing a circle with diameter OP creates semicircles whose intersections with circle C form 90° angles between the radii from O and the lines from P, precisely defining the tangency points T1 and T2.
10What is the radical axis of two non-concentric circles, and what key property do all points on this axis possess?
A.A straight line perpendicular to the line of centers, containing points with equal power with respect to both circles.
B.A line parallel to the line of centers, connecting the top vertices of both circles.
C.A circle centered at the midpoint between the two centers with radius equal to the sum of radii.
D.The line passing through the centers of both circles.
Explanation: The radical axis of two circles is the locus of points having equal power with respect to both circles. It is always a straight line perpendicular to the segment joining the centers of the two circles.

About the PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) Exam

Comprehensive 100-question practice test bank for the Valencian Community PAU exam in Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II). Designed as an English-language multiple-choice study adaptation covering topics from 2º Bachillerato LOMLOE curriculum standards across plane geometry, descriptive geometry, normalization, and CAD.

Exam sponsor: Valencian Community PAU Managing Commission / Generalitat Valenciana (Universitats GVA) & Public Universities (UPV, UV, UA, UJI, UMH). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The PAU Technical Drawing Applied to Plastic Arts and Design II exam in the Valencian Community assesses plane geometry, tangency systems, descriptive geometry (dihedral and axonometric projections), technical sketching, normalization, and CAD applications across a 90-minute examination.

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 78.37 base registration fee for compulsory Access Phase in Valencian Community (or ~15.00 € per optional subject in voluntary 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.

25%

Plane Geometry & Tangencies

Fundamental geometric constructions, regular polygons, proportions, Golden Ratio, tangency systems, power of a point, radical axis/center, geometric transformations (inversion, homothety, affinity), and conic sections.

25%

Descriptive Geometry & Projection Systems

Dihedral (Monge) projection system, point/line/plane representations, intersections, true length and true shape techniques (cambios de plano, giros, abatimientos), axonometric projection (isometric, dimetric, trimetric), caballera perspective, and conical perspective.

25%

Design Normalization & Technical Sketching

ISO/UNE technical drawing standards, standard paper formats (A0-A4), line types and weights, European (first-angle) vs American (third-angle) multiview projection, full/half/offset section cuts, hatching rules, dimensioning standards (UNE 1-039), and freehand technical sketching.

25%

Applied CAD & Plastic Arts Applications

Vector vs raster graphics, CAD coordinate entry (absolute, relative, polar), precision tools (OSNAP, grid), edit commands (offset, trim, fillet, array), layer organization, 3D digital modeling (extrude, revolve, boolean operations), parametric constraints, and plastic arts applications in packaging, typography, modular patterns, and design.

Preparing for the PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) 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: The PAU Technical Drawing Applied to Plastic Arts and Design II exam in the Valencian Community assesses plane geometry, tangency systems, descriptive geometry (dihedral and axonometric projections), technical sketching, normalization, and CAD applications across a 90-minute examination.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 78.37 base registration fee for compulsory Access Phase in Valencian Community (or ~15.00 € per optional subject in voluntary phase). 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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PAU Technical Drawing Applied to Plastic Arts II (Valencian Community): Suggested Study Strategy

1Master scale calculations: remember $E = \text{drawing size} / \text{real size}$; for an reduction scale $1:5$, a $100\text{ mm}$ real dimension measures $20\text{ mm}$ on paper.
2Memorize the isometric reduction factor: $\mu = \sqrt{2/3} \approx 0.816$ when applying strict axonometric foreshortening along all three axes.
3Understand dihedral projection true length techniques: construct a right triangle using horizontal projection $\Delta d$ and vertical coordinate difference $\Delta h$ to find true segment length $L = \sqrt{(\Delta d)^2 + (\Delta h)^2}$.
4Review ISO 216 paper format proportions: $A0 = 1\text{ m}^2$ with side ratio $1:\sqrt{2}$ ($841 \times 1189\text{ mm}$); halving the long side yields the next format size ($A1 = 594 \times 841\text{ mm}$, $A4 = 210 \times 297\text{ mm}$).
5Practice CAD coordinate inputs: distinguish absolute $(X,Y)$, relative $(@X,Y)$, and polar $(@R < \theta)$ coordinates for precise geometry creation.

Frequently Asked Questions

What is the official subject title for this PAU exam in the Valencian Community?

The official subject title is Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II in the 2º Bachillerato Arts modality syllabus under Generalitat Valenciana (Universitats GVA) regulations.

Are these practice questions available in English?

Yes. This test bank is an English-language multiple-choice study adaptation of the Valencian Community PAU curriculum, designed to help students master core technical drawing principles, geometrical calculations, and normalization rules.

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

The overall admission grade combines Bachillerato GPA (60%) and the PAU Access Phase mark (40%). Specific subject papers like Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II can add up to 2.0 extra points each in the Admission Phase.

What geometric calculation and technical sketching topics are tested?

The syllabus covers plane geometry (tangencies, inversion, homothety, golden section, conic sections), descriptive geometry (dihedral Monge system, true length determination, axonometry, conical perspective), design normalization (ISO/UNE view placement, section cuts, dimensioning rules), and CAD fundamentals.

In what languages are official PAU exams provided in the Valencian Community?

Official PAU examination papers in the Valencian Community are provided in Spanish (castellà) and Valencian (valencià).