IMO, a hyper-Calvinist is the guy that acts like because God is sovereign and in control that we don't have to do anything as far as sharing the gospel is concerned. He will say, "If God wants them saved, He'll save them! I don't need to share the gospel!"

On the other hand, the Calvinist is the guy who acknowledges the sovereignty of God and and His control over the salvation of people and he shares the gospel anyway knowing that, as Paul said,

Quote
For everyone who calls on the name of the Lord will be saved. But how can they call on Him in whom they have not believed? And how can they believe without hearing about Him? And how can they hear without a preacher? And how can they preach unless they are sent? As it is written: How welcome are the feet of those who announce the gospel of good things! (Romans 10:13-15 HCSB)