Medical waste from various sources, including clinics and hospitals, is gathered into biomedical waste, which presents a serious risk to human health. The main goal of this research is to suggest a sustainable and efficient way to use biomedical waste. Cement mortar was made in the following ratios: 1:3, 1:4, 1:5 and 1:6. The w/b ratio was adjusted between 0.35 and 0.55. Testing was done on the compressive strength, IST, and FST. The cubes’ compressive strengths were measured after 3, 7, 28, 56 and 90 days. Prediction models, specifically Bolomey’s model, the generalized correlation model, and Vipulanandan’s p-q model, were compared in light of the experimental findings. It is observed that the IST/FST decreases as the IBA% for a certain mix ratio and w/b ratio. Additionally, for a given w/b ratio, the IST/FST increases for any specific IBA content as the blend gets leaner, but it reduces as the IBA content grows. This paper presents the correlation model using Bolomey’s model, the generalized equation, the compressive strength of cement mortar cured for up to ninety days. The best fit model, as shown by the highest R2 values, was the Vipulanandan p-q model, which was followed by the Bolomey’ model and the generalized equation, in that order and the Vipulanandan p-q model.