Mathematical geology was employed to analyze the data obtained in 1 : 10 000 soil geochemical survey in the Xie Yong-gui family farm in Arun Banner, Inner Mongolia. It is concluded that the anomalies are mainly con- trolled by mineralization along the contact zone between the argillite, sandy slate and the andesite rock body in the middle-bwer Devonian Niqiuhe Formation. Cluster analysis of the soil geochemical data obtained from the Xie Yong-gui family farm area shows that ten kinds of trace elements can be grouped into three categories, i.e., (1) Cu, Ag, Au, As and Mo; (2) Pb, Zn, Bi, Hg; (3) Sb. The first category reflects a combination of indica- tor elements of quartz-vein or altered rock-type mineralization, and the second category indicates the combination of medium-temperature ore-forming elements. Using element factor scores of trend surface analysis, the authors extracted anomalies in the Xie Yong-gui family farm area of Arun Banner and also extracted residual anomalies which reflected local anomaly changes. Then, the adding method was used to conduct mapping. Four anomaly target areas were delineated in this study, i.e.,and IV, which seem to be the key areas for the ex-ploration of quartz vein type and altered rock type gold deposits.