This research work focused on the analyses of the compressive strength, modulus of rupture and elasticity of RHA-concrete that was gathered from four states in Nigeria (Cross River, Ebonyi, Enugu, and Benue). The results were calculated and compared geographically by using Osadebe's mathematical program. They had corresponding relative silica values of 85, 75, 1, 65, 2, and 60.1. In place of cement, RHA was utilized in concrete at different percentages of replacement in the concrete. The results showed that strength values increased as RHA replacement increased by 5% -15% and decreased as the percentages of RHA in the concrete increased. When RHA is utilized to partially replace cement in concrete, the strength is improved. RHA is a yearly supply of silica and a naturally occurring pozzolan. The Compressive strength values varied between 37 and 42 N/mm 2 . The elastic modulus of a short cylinder obtained was between 3.15 and 3.7 N/mm 2 . It was discovered that the rupture modulus ranged from 0.6 to 4.2 N/mm 2 . Mathematical prediction models employing Osadebe's method were created. The findings confirmed that there were differentials in the results and laboratory responses of RHA concrete based on spatial properties, Fisher's statistical tool was used to confirm the adequacy of the model and the mean values, variance and critical values were found satisfactory for the 10 observation points.
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