Compositions and methods for amplifying selected polynucleotides, including DNA and RNA, particularly in multiplex amplification reactions using common primers amplification. Generally, methods of the invention employ multiple steps such as template-specific hybridization, a linear amplification, partial degradation of nucleic acid, and ligation. At the end of the process the sequences of selected polynucleotides are flanked by the common sequences which can be used for exponential amplification using common primers. In some aspects the polynucleotides are associated with a barcode and the presence of the barcode is detected to measure the amount of the polynucleotide.