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100+ Free Aragón PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
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Key Facts: Aragón PAU Technical Drawing Applied to Plastic Arts and Design II Exam
90 mins
Exam duration for the official Aragón PAU written paper
UNIZAR / PAU Organising Commission of Aragón
0–10
Official scoring scale (minimum 4.0 required in Access Phase)
UNIZAR PAU Guidelines
EUR 75.00
Ordinary Registration Fee
UNIZAR PAU inscription page 2026
100 MCQs
English-language study adaptation question count in this bank
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Free 100-question study bank in English for the Aragón PAU Technical Drawing Applied to Plastic Arts and Design II exam. Note: local questions are an English-language MCQ study adaptation for the official 90-minute practical drafting examination.
Sample Aragón PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
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1In plane geometry applied to technical drawing, what is the fundamental geometric property regarding a tangent line and a circle at their point of tangency?
A.The radius drawn to the point of tangency is strictly perpendicular (at 90 degrees) to the tangent line.
B.The tangent line intersects the circle at two distinct points separated by the circle's radius.
C.The angle between the tangent line and a chord passing through the point of contact is always 45 degrees.
D.The perpendicular distance from the center of the circle to the tangent line is greater than the radius.
Explanation: A line tangent to a circle touches the curve at exactly one point. The radius drawn from the circle's center to this point of tangency forms a right angle (90 degrees) with the tangent line. This fundamental property is used extensively in tangency constructions.
2In a homothety geometric transformation centered at point O with a scaling ratio of k = -2, how are the original figure and its transformed image related?
A.The image is enlarged by a linear factor of 2, inverted across center O, and all corresponding sides remain parallel.
B.The image is reduced to half size and remains on the same side of center O as the original figure.
C.The image is rotated 90 degrees around center O without any change in linear dimensions.
D.The image is distorted into an oblique parallelogram because k is negative.
Explanation: A homothety (central similarity) maps points along rays passing through center O. When k is negative (k = -2), image points lie on the opposite side of O, creating an inverted image scaled in linear dimensions by |k| = 2 with parallel corresponding sides.
3What is the defining geometric locus property of an ellipse?
A.The sum of the distances from any point on the curve to two fixed foci is constant and equal to the major axis length 2a.
B.The difference between the distances from any point on the curve to two fixed foci is constant and equal to 2a.
C.The distance from any point on the curve to a fixed focus equals its distance to a fixed straight directrix line.
D.The product of the distances from any point on the curve to two perpendicular axes is constant.
Explanation: An ellipse is defined as the locus of points in a plane for which the sum of the distances to two fixed points (foci F1 and F2) is constant, equaling the major axis length 2a. This property is used in the focal pin-and-string and concentric circles drawing methods.
4Which characteristic best describes an axial symmetry (reflection across a line) transformation in 2D technical drawing?
A.It is an indirect isometry that preserves lengths and angles but reverses the orientation (handedness) of the figure.
B.It is a direct isometry that preserves both lengths and clockwise orientation of points.
C.It is an affine transformation that scales figures proportionally along the symmetry axis.
D.It is a central transformation that moves all points along lines passing through a single focal point.
Explanation: Axial symmetry reflects every point P across an axis line e such that line segment PP' is perpendicular to e and bisected by e. Because it preserves distances and angles while reversing chirality (vertex ordering from clockwise to counter-clockwise), it is an indirect isometry.
5What is the exact algebraic expression and approximate numerical value of the Golden Ratio (phi) widely used in design proportion systems?
A.phi = (1 + sqrt(3)) / 2 approx 1.366
B.phi = (1 + sqrt(5)) / 2 approx 1.618
C.phi = (1 + sqrt(2)) / 2 approx 1.207
D.phi = (2 + sqrt(5)) / 3 approx 1.412
Explanation: The Golden Ratio phi is defined by the proportion (a + b)/a = a/b = phi. Solving phi^2 - phi - 1 = 0 gives phi = (1 + sqrt(5))/2, which is approximately 1.6180339887. It serves as a foundational proportion system in classical architecture, plastic arts, and graphic design.
6In plane geometric transformations, a central symmetry centered at point O is equivalent to which of the following rigid movements?
A.A translation by a distance equal to twice the distance from the point to center O.
B.An axial reflection across a line passing through center O.
C.A rotation of 180 degrees around center O.
D.A homothety centered at O with a ratio of k = +1.
Explanation: Central symmetry maps every point P to P' such that O is the midpoint of segment PP'. In two dimensions, this transformation is mathematically identical to a 180-degree planar rotation around center O.
7Which statement accurately describes the geometric locus definition of a parabola?
A.The set of points in a plane equidistant from a fixed point (focus) and a fixed line (directrix).
B.The set of points in a plane for which the difference of distances to two foci is constant.
C.The set of points in a plane for which the sum of distances to two perpendicular lines is constant.
D.The locus of points forming a constant subtended angle from two fixed points.
Explanation: A parabola is the locus of all points in a plane that are equidistant from a fixed point (the focus F) and a fixed line (the directrix d). Its eccentricity e is exactly equal to 1.
8What is the aspect ratio of sides (short side to long side) in a Root-2 dynamic symmetry rectangle, commonly used in ISO paper formats (A4, A3)?
A.1 : 1.618
B.1 : 1.500
C.1 : 1.333
D.1 : sqrt(2) approx 1 : 1.414
Explanation: A Root-2 rectangle has side proportions of 1 : sqrt(2) (approx 1 : 1.414). When folded or cut in half parallel to its short side, each resulting half retains the exact same 1 : sqrt(2) ratio. This property forms the basis for the ISO 216 paper standard (A0, A1, A2, A3, A4).
9How many regular convex polyhedra (Platonic solids) exist in three-dimensional space?
A.4 (Tetrahedron, Octahedron, Dodecahedron, Icosahedron)
B.5 (Tetrahedron, Hexahedron/Cube, Octahedron, Dodecahedron, Icosahedron)
C.6 (Tetrahedron, Cube, Octahedron, Decahedron, Dodecahedron, Icosahedron)
D.8 (Tetrahedron, Cube, Octahedron, Cuboctahedron, Dodecahedron, Rhombidodecahedron, Icosahedron, Truncated Icosahedron)
Explanation: There are exactly 5 regular convex polyhedra in 3D Euclidean space: Tetrahedron (4 triangular faces), Hexahedron/Cube (6 square faces), Octahedron (8 triangular faces), Dodecahedron (12 pentagonal faces), and Icosahedron (20 triangular faces).
10If point P is situated at distance d from the center of a circle of radius R (where d > R), what is the power of point P with respect to the circle?
A.Power = d^2 - R^2
B.Power = d^2 + R^2
C.Power = (d - R)^2
D.Power = d * R
Explanation: The power of a point P with respect to a circle with center O and radius R is defined as Power = d^2 - R^2, where d is the distance OP. For an exterior point (d > R), this value equals the square of the length of the tangent segment from P to the circle.
About the Aragón PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
Verified exam format metadata for Aragón PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.