Airservices Australia · Trainee ATC · Online ability stage
Timed drills built around the online tests controllers described: spatial orientation, relational reasoning and fast mental arithmetic, plus a short-term memory drill. Every round is generated fresh, so you train the skill rather than memorise answers.
From controllers' first-hand accounts. Airservices' current battery is supplied by Airways' SureSelect, which also lists spatial and coded-reasoning tasks, so expect the format to differ in detail.
You can only apply twice, so the tests are worth over-preparing for. One controller took about 11 months from applying to starting training.