WordNet sense 1 (put to the test, as for its quality, or give experimental use to):

essay, examine, prove, test, essay

WordNet sense 2 (make an effort or attempt):

assay, attempt, seek

WordNet sense 3 (put on trial or hear a case and sit as the judge at the trial of):

adjudicate, judge

WordNet sense 4 (examine or hear (evidence or a case) by judicial process):

hear

WordNet sense 5 (test the limits of):

strain, stress

WordNet sense 6 (take a sample of):

sample, taste

WordNet sense 7 (earnest and conscientious activity intended to do or accomplish something):

effort, endeavor, endeavour

WordNet sense 8 (melt (fat or lard) in order to separate out impurities):

render

WordNet sense 9 (put on a garment in order to see whether it fits and looks nice):

try on