Provided herein are methods and compositions for detection of a nucleic acid target in a sample. The methods and compositions use primer directed amplification in conjunction with nucleic acid fragmentation. The methods have high sensitivity even in the presence of a large amount of non-target nucleic acid. Also provided are oligonucleotides and kits useful in the method. Exemplary nucleic acid targets are those with mutant gene sequence such as mutant sequence of the EGFR, APC, TMPRSS2, ERG and ETV1 genes.