Do this as early as you can, the result of the test last for 2 years so consider taking it 6-12months prior to your NS so that it last long enough if you pass and if you fail, you can retake it 6-12months before you ORD.
The Compass Test is designed to test your psychomotor skills with stages that test your multi-tasking skill.
2 stages stands out among all the stages:
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Controlling joystick, trigger button, rudder pedals and counting down number all at once.
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Given an unfolded cube and a folded cube showing 3 sides (one which is blank) and having to figure it out.
I'm not quite sure how I did it as well but it's kind of compartmentalizing your brain and having each do an individual task. Just relax yourself and keep improving throughout each stage.
Do try to take note that the personnel there wouldn't be much of a help to you. I did ask for some assistance as I did not understand the instructions of the booklet for fault detection but she just told me, "you're getting there already, try a bit more". How wonderful is that?
And for a final reminder, at the end they will ask a few questions such as what kind of pilot you want to be and there will be one that ask what will you do if you are not selected to be a RSAF pilot. DO NOT PUT Singapore Airlines!