Uterine contraction is initiated by the hormone Oxytocin, if I recall correctly. I don't think the placenta has any say in it. In fact, the 3rd stage of delivery is when the placenta is forced out. I believe that somewhere yes, the placenta has a good deal of metabolic activity going on. But that question seems to draw from way too specific of a set of knowledge.
The most important things for the placenta I would say are knowing that it secretes Human Chorionic Gonadotropin to prevent the corpus luteum degradation, and that it later produces the progesterones once produced by the corpus luteum (the goal of both being maintaining the endometrium so you don't continue the menstrual cycle after implantation.)
Was "glycogen synthesis" the correct answer? If so, that's a bad question