Prepare small slips of paper by cutting sheets of A4 paper into 8, enough for each student. Bring a roll of Scotch/cell tape to the class.
Hand out the slips of paper to each student. Ask each student to write down any name. It can be an actor, singer, athlete, character, another student, teacher, etc. Any name is fine, as long as every student knows who this is (so it can't be their brother or sister, for example).
Collect all of the papers and shuffle them.
Now explain the rules. Each student will receive a slip of paper, taped to their backs. (During this time, the JTE can begin taping the slips of papers to each students' back.) They cannot see this slip of paper, but everybody else can. This "name card" is the student's new identity. They must find out who they are by asking other students questions. They can only ask Yes or No questions. For example, "Am I famous?", "Am I a human?", "Am I a woman?", "Do I play baseball?", "Am I in this class?", etc. Help your JTE tape the rest of the name cards on the rest of the students' backs. Once completed, ask everyone to stand up and start talking. Give them a time limit of about 10 minutes to try to figure out who they are.
Note: To make the game more challenging, tell the students that they can only ask one student one question. This will ensure that they aren't just talking with their friend the whole time.