Nucleic acid constructs and methods that provide superior prevention of primer-dimers and other artifacts of false priming events are disclosed. In particular, there is disclosed a hairpin primer having a target-specific primer region, wherein the target-specific region comprises a target-binding dependent cleavage sequence; a first stem forming region 5′ of the target-specific primer region; and a second stem forming region 3′ of the target-specific primer region, wherein the second stem forming region is complementary to the first stem forming region. Methods of using the hairpin primer to amplify a target nucleic acid are also disclosed.