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100+ Free PAU Technical Drawing II (Andalusia) Practice Questions
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2026 Statistics
Key Facts: PAU Technical Drawing II (Andalusia) Exam
90 min
Exam Time Limit
Distrito Único Andaluz
0–10
Grading Scale (Min 4.0 for Access Phase)
Junta de Andalucía
EUR 58.70
Base Registration Fee
Distrito Único Andaluz 2026
4 Core Blocks
Plane, Dihedral, Axonometric, ISO Standards
2nd Bachillerato Curriculum
The Technical Drawing II exam for the Andalusia PAU (Prueba de Acceso a la Universidad) features a 90-minute university entrance test administered by the Distrito Único Andaluz. Graded on a 0–10 scale, a minimum mark of 4.0 is required in the Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass). The official exam consists of practical graphic drawing tasks; this dataset provides an English-language MCQ study adaptation designed for core concept practice, rule verification, and theoretical mastery.
Sample PAU Technical Drawing II (Andalusia) Practice Questions
Try these sample questions to test your PAU Technical Drawing II (Andalusia) 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 tangency theory, what is the fundamental relationship between two mutually tangent circles?
A.Their radii must be equal in length.
B.The point of tangency always lies on the straight line connecting their centers.
C.The line segment connecting their centers is perpendicular to the radical axis at a point outside both circles.
D.Their centers are equidistant from the origin of coordinates.
Explanation: According to fundamental tangency theorems, when two circles are tangent (either externally or internally), the point of tangency $T$ lies directly on the straight line passing through the centers of both circles. This property ensures that the common tangent line at $T$ is perpendicular to the line of centers.
2Which triangle center is defined as the point of intersection of the three interior angle bisectors?
A.Circumcenter
B.Incenter
C.Orthocenter
D.Centroid
Explanation: The incenter of a triangle is the intersection point of its three interior angle bisectors. Because it is equidistant from all three sides of the triangle, it serves as the center of the inscribed circle (incircle).
3What is the power $P$ of a point $O$ with respect to a circle of radius $R$, where the distance from $O$ to the circle's center $C$ is $d$?
A.P = d - R
B.P = d^2 - R^2
C.P = d^2 + R^2
D.P = 2 * d * R
Explanation: The power of a point $O$ relative to a circle of radius $R$ centered at $C$ is defined mathematically as $P = d^2 - R^2$, where $d = OC$. If any secant line through $O$ intersects the circle at $A$ and $B$, the product of signed lengths $OA \cdot OB$ equals $d^2 - R^2$.
4In a planar homothety transformation centered at $O$ with scale ratio $k < 0$, how are an object point $A$ and its image $A'$ arranged?
A.Points A and A' lie on opposite sides of the center O.
B.Points A and A' lie on the same side of O at equal distances.
C.Point A' is rotated 90 degrees around O relative to A.
D.Points A and A' coincide at the center O.
Explanation: When the homothetic ratio $k$ is negative ($k < 0$), the transformation is an inverse homothety. The center $O$ lies strictly between the original point $A$ and its transformed image $A'$, satisfying the vector relation $\vec{OA'} = k \vec{OA}$.
5Which metric property defines an ellipse as a geometric locus in a plane?
A.The set of points whose difference of distances to two fixed foci is constant.
B.The set of points whose sum of distances to two fixed foci is constant and equal to 2a.
C.The set of points equidistant from a fixed focal point and a fixed directrix line.
D.The set of points whose product of distances to two fixed foci is zero.
Explanation: An ellipse is defined as the locus of points in a plane for which the sum of the distances to two fixed points called foci ($F_1$ and $F_2$) is constant. This constant sum equals the length of the major axis ($2a$).
6What is the locus definition of a parabola in plane geometry?
A.Points for which the sum of distances to two foci is constant.
B.Points equidistant from a fixed point (focus) and a fixed line (directrix).
C.Points for which the ratio of distance to focus over distance to directrix is greater than 1.
D.Points generated by intersecting two perpendicular lines.
Explanation: A parabola is the locus of all points in a plane that are equidistant from a fixed point called the focus $F$ and a fixed straight line called the directrix $d$. Its eccentricity $e = 1$.
7Which conic section is defined as the locus of points where the absolute difference of distances to two fixed foci is constant?
A.Ellipse
B.Hyperbola
C.Parabola
D.Circle
Explanation: A hyperbola is the locus of points in a plane for which the absolute difference of the distances to two fixed foci ($|PF_1 - PF_2|$) is constant and equal to $2a$, where $2a$ is the length of the transverse axis.
8The circumcenter of a triangle is located at the intersection of which three lines?
A.Altitudes
B.Perpendicular bisectors of the sides
C.Medians
D.Angle bisectors
Explanation: The circumcenter is the point of intersection of the three perpendicular bisectors (mediatrices) of the triangle's sides. It is equidistant from all three vertices and serves as the center of the circumscribed circle.
9In the standard Dihedral Projection System, what are the two main reference planes of projection?
A.Frontal plane and Profile plane
B.Horizontal Plane (HP) and Vertical Plane (VP)
C.Bisector Plane 1 and Bisector Plane 2
D.Axonometric plane and Oblique plane
Explanation: The fundamental reference planes in the Dihedral projection system (Diédrico) are the Horizontal Plane (Plano Horizontal de Proyección) and the Vertical Plane (Plano Vertical de Proyección), which intersect perpendicularly along the Ground Line (Línea de Tierra).
10What is the Ground Line (Línea de Tierra - LT) in the Dihedral Projection System?
A.The line connecting a point to the origin of coordinates.
B.The line of intersection between the Horizontal Plane and the Vertical Plane.
C.The line perpendicular to the profile plane.
D.The axis of rotation for auxiliary abatements.
Explanation: The Ground Line (Línea de Tierra, abbreviated LT or XY) is the line formed by the orthogonal intersection of the Horizontal Plane (HP) and Vertical Plane (VP). It serves as the baseline for coordinate measurements and projection alignment.
About the PAU Technical Drawing II (Andalusia) Practice Questions
Verified exam format metadata for Andalusia PAU Technical Drawing II (Dibujo Técnico II) Exam is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.