ěí usually requires preparation before taking it and ę˛ěŹ is closer to checking if something is going okay/working normal (not in all cases though).
ěí-ěíěí math test íęľě´ ěí Korean test
ę˛ěŹ-ěě ę˛ěŹ homework check, ě 체ę˛ěŹ(ęą´ę°ę˛ě§) physical examination, ěě§ ę˛ěŹ water quality testing