An extensive experimentation was performed to study the strength development of concrete in which fine aggregate was partially replaced with silica fume. Mathematical models were developed using statistical techniques to predict the compressive strength of such concrete. Water-to-cement ratio was varied from 0.50 to 0.60 and fine aggregate replacement level ranged from 0 to 15%. Compressive strength testing was conducted at age of 7, 28, and 56 days. Results showed that compressive strength of concrete, made with silica fume as fine aggregate replacement material, was higher than the control concrete. The developed models provided a closed form estimate of compressive strength of concrete. The models would serve as useful guidelines for proportioning concrete mixes incorporating silica fume as fine aggregate replacement material. Such concrete could be used successfully in structural applications with economic and environmental advantages.