The oxide-containing particles (transition metal oxide-containing cerium dioxide particle) exert a catalyst performance, and include at least an iron oxide containing an iron component and a manganese oxide containing a manganese component on a surface of each of cerium dioxide particles, wherein the iron oxide and manganese oxide have smaller particle diameters than that of the cerium dioxide particles, and the content rate of the iron oxide and the manganese oxide is within the range of from 15.0% by mass to 35.0% by mass.