All Practice Exams
100+ Free PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) Practice Questions
Valencian Community PAU Technical Drawing Applied to Plastic Arts and Design II Examination (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - 2º Bachillerato GVA 2026) practice questions are available now; exam metadata is being verified.
✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free
Loading practice questions...
Same family resources
Explore More Spain Valencian Community PAU (Prueba de Acceso a la Universidad)
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
2026 Statistics
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 test your PAU Technical Drawing Applied to Plastic Arts II (Valencian Community) exam readiness. 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) Practice Questions
Verified exam format metadata for Valencian Community PAU Technical Drawing Applied to Plastic Arts and Design II Examination (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - 2º Bachillerato GVA 2026) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.