This Bible contradiction is from the Skeptic's Annotated Bible.
Moses feared the king.
Exodus 2:14-15 View context
And he said, Who made thee a prince and a judge over us? intendest thou to kill me, as thou killedst the Egyptian? And Moses feared, and said, Surely this thing is known.
Now when Pharaoh heard this thing, he sought to slay Moses. But Moses fled from the face of Pharaoh, and dwelt in the land of Midian: and he sat down by a well.
Moses did not fear the king.
Hebrews 11:27 View context
By faith he forsook Egypt, not fearing the wrath of the king: for he endured, as seeing him who is invisible.