In the Test of the Critic, you are tasked with judging many forms of artwork. The more art you judge, the more you progress in the test. This test is the art counterpart to the Test of Reason.
Note: if all items show Done and you still don't have your level check judgement hints again.
Similar to the Test of Reason, you get a new test menu that will tell you your Critic score. Scoring is based on how many peer judges you have for each piece you judge, and scores update after Test advances (usually Sunday/Monday).
Checking your Judgement Hints is done in Self -> Special.
If you have also started the Test of Reason, the Judgement Hints will list both Thought and Art pieces.