1. Square $C A S H$ and regular pentagon $M O N E Y$ are both inscribed in a circle. Given that they do not share a vertex, how many intersections do these two polygons have?
Answer:
8
Pentagon MONEY divides the circumference into 5 circular arcs, and each vertex of $C A S H$ lies in a different arc. Then each side of $C A S H$ will intersect two sides of $M O N E Y$, for a total of 8 intersections.