One could see the term "actual truth" as being redundant, as the word "truth" implies that it is the actual answer. However, it is a commonly used phrase and most people would agree that while it may not be completely necessary, it is legitimate and proper.

The truth is the actual account of whatever transpired. If you always tell the truth, you are considered an honest person.

The Puritans defined truth as "God's word." They did not believe that man could tell the actual truth as that power only rested with God.

to get good grades in school

Her actual name is Isabella Baumfree but she likes to call herself Sojourner Truth because the spirit calls for her and she must go

Sojourner Truth rocks! :)