Furthermore, San hakase always had additional duties as heads or assistants in the Shuzeiryo (Bureau of Taxation) or Syukeiryo (Bureau of Popular Affairs), and one in two also worked as Goinosakan (the lowest class official in four class officials) ("Kanshoku hisho" (a text describing rules of ceremony and etiquette to be observed in the Imperial Court and by samurai that was written during the early Heian period in around 1200)).
更に算博士も必ず主税寮か主計寮の頭か助を兼務して更に2名中1名は五位史を兼ねることになった（『官職秘抄』）。