The low-velocity oblique impact of a rigid sphere on a power-law graded elastic half-space is studied under the assumptions of elastic similarity and a constant coefficient of friction. The impact is modelled using a combination of analytical and numerical methods, with the goal of understanding the effects of the power-law grading on the contact mechanics and the resulting forces and stresses. The results show that the power-law grading has a significant impact on the contact mechanics, leading to changes in the contact area, pressure distribution, and adhesion strength. The study provides new insights into the behavior of power-law graded materials under impact loading, which is relevant for various applications in engineering and materials science.