Synonyms for Impertinent (same or very similar meaning)
WordNet sense 1 (characterized by a lightly pert and exuberant quality):
irreverent, saucy
WordNet sense 2 (displaying animation, vigor, or liveliness):
spirited
WordNet sense 3 (not pertinent to the matter under consideration):
extraneous, immaterial, orthogonal
WordNet sense 4 (having no bearing on or connection with the subject at issue):
irrelevant
WordNet sense 5 (improperly forward or bold):
fresh, impudent, overbold, sassy, smart, wise
WordNet sense 6 (used of temperament or behavior; lacking restraint or modesty):
forward
From the ODE community, based on WordNet
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