Q) Hunters, Jumpers - What's the Difference?
A) The biggest (simplest) difference between hunters and jumpers is the way they are judged. Hunters is flatwork and jumping, based on how good you and your horse look/move. Jumpers is jumping that's based on time and speed.
Q) What is Eventing?
A) Eventing is an equestrian sport in which competitors must take part in each of several contests, usually cross-country, dressage, and show jumping. More details provided on the USEA (US Eventing Association) website.
Q) What is Cross-Country Jumping?
A) Cross-Country is an endurance test, and is one of the three phases of the sport of eventing; it may also be a competition in its own right, known as hunter trials or simply "cross-country" - these tend to be lower level, local competitions.
Q) What is Dressage?
A) The art of riding and training a horse in a manner that develops obedience, flexibility, and balance.