Since 1974, Jules Rimet Trophy has been known as:

Floor, balance beams, vault and uneven bars are different categories of this sport.

Gymnasts must perform continuous circular movements around the horse while allowing only their hands to actually touch it. Identify the item.

A form of Ice Hockey played on a concrete surface using skates with wheels.

Which one of the following is a badminton tournament?

Greco-Roman and Freestyle are two popular styles used in this sport.

Identify the gymnastic event:
This event occurs on a carpeted 12m × 12m square, usually consisting of hard foam over a layer of plywood, which is supported by springs of foam blocks.

It is an indoor racquet sport played  by two players (or four players for doubles) with standard racquets in a four walled court with a small, hollow rubber ball. 

The tournament related to chess is:

A team sport played outdoor on horseback in which the objective is to score goals against an opposing team.