The good works that really matter require the help of heaven. And the help of heaven requires working past the point of fatigue so far that only the meek and lowly will keep going long enough. The Lord doesn't put us through this test just to give us a grade; he does it because the process will change us.
The truth is that we all need repentance. If we are capable of reason and past the age of eight, we all need the cleansing that comes through applying the full effects of the Atonement of Jesus Christ.
It is by avoiding future sin that we retain a remission of the sins of the past.