Semester rhymes with:
mester, mestre, trimester, amvestor, bester, brester, chester, ester, esther, fester, hester, investor, ivester, jester, kester, leicester, lester, mclester, mester, mestre, molester, nester, nestor, pester, polyester, questar, requester, rester, sequester, silvester, sylvester, sylvestre, tester, testor, trester, trimester, vestar, vester, westar, wester
Semester sounds like:
sanctuary, sangster, seamster, sinister, sunstar