He looks very sadly,he must have gotten a bad score at last test.(express the deduction from known facts);
He may have gotten a bad score at last test.(express the possibility or conjecture)
If it is a logical reasoning then the word-'must' is used,or if it is a subjective guess then the word-'may' or 'might' is used.'May' express a stronger possibility than 'might'.
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In this sentence,"look" is a link verb,so it is followed by a noun or adjective(not an adverb).
error:He looks sadly...
right:He looks sad...
"at last test"->"in last test"