The figure 8 exercise requires the team to heel in a figure 8 pattern either on or off leash. Generally two of the ring stewards will assist the judge with this exercise by acting as "posts", standing 8 feet apart, that the team walks around to form the loops of the figure 8.
The sit for exam is a modified version of the Stand for Exam. It is generally used in novice level classes and requires the handler to order the dog to sit and then to move away from the dog the length of the leash. The judge will then approach the dog and pet the dog's head.