This invention provides methods, compositions and systems to detect a nucleic acid of interest in a two-stage amplification. The two-stage amplification begins with a first non-enzymatic accumulation of an amplification oligomer that is the target substrate for a second nucleic acid amplification or assay. Two or more amplification oligomers can be used to allow multiplexed amplifications of two or more nucleic acids of interest with deconvolution based on unique detection signals or unique signal locations.