Herein we report the synthesis of some new pyrazolo[1,5-a]pyrimidine derivatives. 7-(Aryl)-2-methyl-pyrazolo[1,5-a]pyrimidine-3-carbonitrile derivatives 9a-e which were synthesized by the condensation reaction of the amino pyrazole 3 with acetylacetone 4 or with the arylpropenones (enaminones) 8a-e in acetic acid. The reaction of the carbonitrile derivative 9e with hydroxylamine in presence of sodium acetate afforded the corresponding amidoxime derivative 10. Additionally, cyclization of the amidoxime 10 to the corresponding methyl- and phenyl- 1,2,4-oxadiazoles, 11a and 11b, was accomplished by heating it with acetic-anhydride or benzoyl chloride in pyridine. On the other hand, the cyano group present in 2-methyl-7-(thiophen-2-yl)pyrazolo[1,5-a]pyrimidine-3-carbonitrile 9e was partially hydrolyzed with sulphuric acid to afford the carboxamide 12. Based on their spectral information, the structures of the newly synthesized chemical derivatives were determined.