Hi Joeb
Just to tidy up the info you've been given and to clarify.
The answer your son's teacher will be looking for is Stevie21's. i.e. the test for oxygen is that it will relight a glowing splint.
It's one of the standard tests that GCSE pupils need to know (I'm assuming your son is of that age and, of course, that he is British). Although the question does not specify PURE oxygen (or oxygen rich atmosphere), it will be what is intended. For atmospheres that contain oxygen amongst significant amounts of other gases, more involved chemical tests are required, which your son will not be required to know at his level.