Abstract: The high demand for concrete in the construction industry has led to a rapid decrease in natural soil deposit such as river sand and granite. The excessive usage of natural soil deposit has resulted into ecological imbalance and environmental problems. There is need to explore an alternate material that could be used as a replacement for the conventional aggregates. This had directed attention to by-product and wastes such as termite soil. The focus of this research is the development of a function for the optimization of the compressive strength of river sand – termite soil concrete based on simplex design.