The first two Google hits for <"port-a-punch"> look nothing like that. If it says "IBM Deutschland" on the left side, then that suggests IBM made these multiple-choice quiz device doohickeys.
...On second thought, I'll grant you that it's not impossible this was used with the Port-A-Punch, but if it was, it was used to record the results to these seven questions and certainly not for any kind of "game".