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100+ Free PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
Balearic Islands PAU Technical Drawing Applied to Plastic Arts and Design II / Dibuix Tècnic Aplicat a les Arts Plàstiques i al Disseny II (UIB 2026) practice questions are available now; exam metadata is being verified.
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2026 Statistics
Key Facts: PAU Technical Drawing Applied to Plastic Arts and Design II Exam
90 Min
Official exam duration for UIB PAU Technical Drawing II paper
UIB PAU Organising Commission
0–10
Scoring scale for PAU subject examinations
Spanish University Access Regulations
4.0
Minimum score required in Access Phase to combine with Bachillerato GPA
UIB PAU Regulations
0.2
Maximum admission weighting coefficient for Design and Architecture degrees
UIB University Admission Guide 2026
100
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Balearic PAU Technical Drawing Applied to Plastic Arts and Design II tests 2º Bachillerato students on plane geometry, multiview projections, axonometric and conic perspective, and design normalization over 90 minutes.
Sample PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
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1Which notable triangle center is defined as the point of intersection of the three interior angle bisectors (bisectrices) of a triangle?
A.Incenter (Incentro)
B.Circumcenter (Circuncentro)
C.Centroid (Baricentro)
D.Orthocenter (Ortocentro)
Explanation: The incenter (incentro) is the intersection point of the three interior angle bisectors of a triangle. It is equidistant from all three sides and serves as the center of the inscribed circle (circunferencia inscrita).
2In plane geometry, the circumcenter (circuncentro) of a triangle is determined by the intersection of which set of lines?
A.Altitudes (Alturas)
B.Perpendicular bisectors of the sides (Mediatrices)
C.Medians (Medianas)
D.Interior angle bisectors (Bisectrices)
Explanation: The circumcenter is the point of concurrency of the perpendicular bisectors (mediatrices) of the triangle's sides. It is equidistant from the three vertices and is the center of the circumscribed circle.
3According to the properties of the Euler Line (Línea de Euler) in a non-equilateral triangle, which three notable points are always collinear?
A.Incenter, Centroid, Fermat Point
B.Incenter, Circumcenter, Centroid
C.Orthocenter, Centroid, Circumcenter
D.Orthocenter, Incenter, Excenter
Explanation: In any non-equilateral triangle, the orthocenter (H), centroid (G), and circumcenter (O) lie on a single line called the Euler Line. Furthermore, the centroid divides the segment HO in a 2:1 ratio such that HG = 2 * GO.
4When constructing a regular hexagon inscribed in a circle of radius R using a compass, what is the length of each side of the hexagon?
A.R / 2
B.R * sqrt(2)
C.R * sqrt(3)
D.R
Explanation: A regular hexagon consists of six equilateral triangles sharing a central vertex. Consequently, the side length of an inscribed regular hexagon is exactly equal to the radius R of its circumscribed circle.
5In geometric constructions, dividing a segment AB in golden section (sección áurea) results in a major segment AC such that AB / AC equals which exact mathematical ratio?
A.(1 + sqrt(5)) / 2 ≈ 1.618
B.(1 + sqrt(3)) / 2 ≈ 1.366
C.sqrt(2) ≈ 1.414
D.(sqrt(5) - 1) / 2 ≈ 0.618
Explanation: The golden section (sección áurea) divides a segment such that the ratio of the whole segment AB to the larger part AC equals the ratio of the larger part AC to the smaller part CB. This ratio is Phi (Φ) = (1 + √5) / 2 ≈ 1.618033.
6To construct a triangle given its base AB, altitude h_c, and opposite vertex angle C = 60°, which locus (lugar geométrico) must be constructed above the base AB?
A.A circle centered at the midpoint of AB with radius h_c
B.An arc of constant angle (arco capaz) of 60° for segment AB
C.A parabola with focus at A and directrix at B
D.An ellipse with foci at A and B
Explanation: The locus of points from which segment AB is viewed under a constant angle C (60°) is the 'arco capaz' of 60° for segment AB. Intersecting this arc with a line parallel to AB at distance h_c determines the third vertex C.
7Which property of a regular pentagon allows its exact construction using ruler and compass?
A.Its area is equal to three times the area of an equilateral triangle
B.Its interior angles are 120°
C.The ratio between its diagonal and its side is the Golden Ratio (Φ)
D.Its side is equal to the radius of its circumscribed circle
Explanation: In a regular pentagon, the ratio of the length of any diagonal to the length of any side is exactly the golden ratio Φ = (1 + √5)/2. Ruler and compass constructions leverage this golden ratio relationship.
8What is the angle formed between a tangent line to a circle and the radius drawn to the point of tangency?
A.180° (Parallel)
B.45°
C.60°
D.90° (Perpendicular)
Explanation: A fundamental theorem of circle geometry states that a tangent line to a circle is always perpendicular (forms a 90° angle) to the radius drawn to the point of tangency.
9The radical axis (eje radical) of two non-concentric circles is defined as the locus of points having what property with respect to the two circles?
A.Equal power (potencia) with respect to both circles
B.Sum of distances to the tangents equal to zero
C.Product of radii equal to the distance between centers
D.Equal distance to the two centers
Explanation: The radical axis of two circles is the straight line consisting of all points that have equal power (potencia) with respect to both circles. From any point on the radical axis, tangent segments drawn to both circles have equal length.
10If a point P is located at a distance d = 10 cm from the center of a circle of radius R = 6 cm, what is the power of point P (potencia de P) with respect to the circle?
A.16 cm²
B.64 cm²
C.100 cm²
D.36 cm²
Explanation: The power of an external point P relative to a circle of radius R and center O at distance d = OP is given by P = d² - R². Substituting d = 10 and R = 6 yields P = 10² - 6² = 100 - 36 = 64 cm².
About the PAU Technical Drawing Applied to Plastic Arts and Design II Practice Questions
Verified exam format metadata for Balearic Islands PAU Technical Drawing Applied to Plastic Arts and Design II / Dibuix Tècnic Aplicat a les Arts Plàstiques i al Disseny II (UIB 2026) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.