So I phoned recruitment about the status of my application (I applied on 28th March, did the online tests and have heard nothing since), as recommended by the poster from the previous page (thanks for the number!) and they told me that the applicants with the highest scores are contacted first to proceed to the assessment day, and after that they will sift through the other applications. Assessment days will be throughout April, May and probably June. So if you haven't heard anything yet, it's not an indication that your application has been rejected.
Bit of a relief, really, and the guy on the phone was lovely. The waiting game is incredibly annoying, but the guy assured me that people should start hearing back soon since the closing date is looming.