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100+ Free Andalusia PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions

Andalusia PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II) practice questions are available now; exam metadata is being verified.

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

90 mins

Exam duration for the official Andalusia PAU written paper

Distrito Único Andaluz / Junta de Andalucía

0–10

Official scoring scale (minimum 4.0 required in Access Phase)

Comisión Interuniversitaria de Andalucía

EUR 58.70

Base registration fee for PAU Access Phase set by Junta de Andalucía

Junta de Andalucía PAU Fee Regulations

100 MCQs

English-language study adaptation question count in this bank

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Free 100-question study bank in English for the Andalusia 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 Andalusia PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions

Try these sample questions to test your Andalusia PAU Technical Drawing Applied to Plastic Arts and Design II exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

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 perpendicular to the tangent line.
B.The tangent line intersects the circle at two distinct points separated by the radius.
C.The angle between the tangent line and the chord passing through the point of tangency is always 45 degrees.
D.The distance from the center of the circle to the tangent line is greater than the radius.
Explanation: A tangent line touches a circle at exactly one point, known as the point of tangency. The radius connecting the center of the circle to this point of contact is strictly perpendicular (at 90 degrees) to the tangent line. This fundamental property forms the basis for constructing tangent lines and circles in applied design.
2In a homothety geometric transformation centered at point O with a scaling ratio of k = -2, how are the original figure and its image related?
A.The image is enlarged by a factor of 2, inverted relative to 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 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 the center O. When the ratio k is negative (k = -2), the image points lie on the opposite side of O relative to the original points, creating an inverted image scaled in linear dimensions by |k| = 2. Corresponding line segments remain parallel to each other.
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 points (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 points (foci) is constant and equal to 2a.
C.The distance from any point on the curve to a fixed point (focus) equals its distance to a fixed straight line (directrix).
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 (the foci F1 and F2) is constant. This constant sum equals the length of the major axis, 2a. This property is directly used in technical drawing methods such as the focal gardener's construction or concentric circles method.
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 a straight line axis e such that the segment PP' is perpendicular to e and bisected by e. Because it preserves distances and angles but reverses the chirality (orientation of vertices from clockwise to counter-clockwise), it is classified as an indirect isometry (or anti-isometry).
5When constructing a regular polygon with n sides inscribed in a circle of radius R, what central angle subtends each side at the center of the circle?
A.360 degrees divided by n
B.180 degrees divided by n
C.(n - 2) times 180 degrees divided by n
D.360 degrees divided by (n - 2)
Explanation: A full revolution around the center of a circle measures 360 degrees. For a regular inscribed polygon with n equal sides, the circumference is divided into n equal arcs, so each side subtends a central angle of 360°/n at the circle's center.
6What is the defining focal property of a parabola?
A.Every point on the parabola is equidistant from a fixed point (focus) and a fixed straight line (directrix).
B.The sum of the distances from any point on the curve to two fixed points is constant.
C.The distance from any point on the curve to the vertex is twice the distance to the directrix.
D.The tangent at any point is perpendicular to the axis of symmetry.
Explanation: A parabola is defined as the geometric locus of points in a plane that are equidistant from a fixed point called the focus (F) and a fixed line called the directrix (d). This property yields an eccentricity e = 1 and is utilized in designing parabolic reflectors, acoustic shells, and structural arches.
7In plane inversion transformation with center O and positive power of inversion K, what is the image of a point P lying at distance d from O?
A.A point P' on ray OP such that the product of distances (OP * OP') equals K.
B.A point P' on ray OP such that OP + OP' equals K.
C.A point P' located on a perpendicular line through O at distance K/d.
D.A point P' reflected symmetrically across the origin O at distance 2d.
Explanation: Inversion is a non-linear geometric transformation defined by a center O and power K. For any point P (except O), its inverse P' lies on the ray OP such that the product of distances OP * OP' = K. Thus, points closer to O map further away, and points far from O map closer to O.
8Which geometric element defines a 2D translation transformation in technical drawing?
A.A translation vector specifying direction, sense, and displacement magnitude.
B.A center point and a scaling ratio k.
C.An axis line and an angular displacement.
D.A center of inversion and a numerical power K.
Explanation: A translation is a direct rigid motion (isometry) where every point of a figure moves by the exact same distance in the same direction. It is uniquely specified by a vector (or directed segment) that determines its direction, orientation (sense), and magnitude.
9How is a hyperbola defined as a geometric locus in plane geometry?
A.The absolute difference of the distances from any point on the curve to two fixed foci is constant and equal to 2a.
B.The sum of the distances from any point on the curve to two fixed foci is constant and equal to 2a.
C.The product of the distances from any point to two foci is constant.
D.The ratio of the distance from the focus to the distance from the directrix is strictly less than 1.
Explanation: A hyperbola is the locus of points in a plane for which the absolute difference of the distances to two fixed points (foci F1 and F2) is constant, equal to the real axis length 2a (|PF1 - PF2| = 2a). Its eccentricity e = c/a is strictly greater than 1.
10Under what condition does connecting vertices of a regular n-gon by jumping every p-th vertex produce a regular star polygon (polígono estrellado)?
A.When the step integer p is greater than 1 and coprime to n (gcd(n, p) = 1), with p < n/2.
B.When the step integer p is a multiple of n.
C.When n is an odd number and p equals n/2 exactly.
D.When p and n share a common factor greater than 2.
Explanation: A regular star polygon {n/p} is formed by joining every p-th vertex of a regular n-gon in a continuous single path. This requires that the step p and the vertex count n are coprime (greatest common divisor gcd(n, p) = 1) and 1 < p < n/2. If they share a factor, multiple disconnected polygons are produced instead.

About the Andalusia PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions

Verified exam format metadata for Andalusia 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.