A 2 B 1 C D + 1 E + n n n n n − − 2 15. PQRS is a square with U and V the mid-points of the sides PS and SR respectively. Line segments PV and UR meet at T. What fraction of the area of the square PQRS is the area of the quadrilateral PQRT? A B C D E 16. In triangle PQR, S and T are the midpoints of PR and PQ respectively; QS is perpendicular to RT; QS = 8; RT = 12. What is the area of triangle PQR? A 24 B 32 C 48 D 64 E 96 17. The sum of the lengths of the 12 edges of a cuboid is x cm. The distance from one corner of the cuboid to the furthest corner is y cm. What, in cm2, is the surface area of the cuboid? A B C D E 18. A paperweight is made from a cube of side 2 units by first shearing off the eight tetrahedral corners which touch at the midpoints of the edges of the cube. The remaining inner core of the cube is discarded and replaced by a sphere. The eight corner pieces are now stuck onto the sphere so that they have the same positions relative to each other as they did originally. What is the diameter of the sphere?
A n − 2 B n − 1 C n D n + 1 E n + 2 15. PQRS is a square with U and V the mid-points of the sides PS and SR respectively. Line segments PV and UR meet at T. What fraction of the area of the square PQRS is the area of the quadrilateral PQRT? A B C D E 16. In triangle PQR, S and T are the midpoints of PR and PQ respectively; QS is perpendicular to RT; QS = 8; RT = 12. What is the area of triangle PQR? A 24 B 32 C 48 D 64 E 96 17. The sum of the lengths of the 12 edges of a cuboid is x cm. The distance from one corner of the cuboid to the furthest corner is y cm. What, in cm2, is the surface area of the cuboid? A B C D E 18. A paperweight is made from a cube of side 2 units by first shearing off the eight tetrahedral corners which touch at the midpoints of the edges of the cube. The remaining inner core of the cube is discarded and replaced by a sphere. The eight corner pieces are now stuck onto the sphere so that they have the same positions relative to each other as they did originally. What is the diameter of the sphere?
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