A series of conventional dynamic uniaxial compression (CDUC) tests and coupled static-dynamic loading (CSDL) tests were conducted using a split Hopkinson pressure bar (SHPB) system to explore the dynamic mechanical behaviour and fracture characteristics of medium sandstone on a microscale in the laboratory. In the CDUC tests, the dynamic uniaxial compressive strength of the medium sandstone was rate-dependent, while the dynamic elastic modulus was not dependent on the strain rate. Then, we proposed a generalised model to characterise the rate-dependent strength from 17.5 s-1 to 96.8 s-1. In the CSDL tests, with increasing initial pre-static stress, the dynamic elastic modulus and dynamic strength increased nonlinearly at first and then decreased. The results show that two classical mechanical types (ie Class I and Class II) are observed from the dynamic stress-strain responses of the CDUC and CSDL tests. By means of scanning electron microscopy (SEM), the micro difference of post-loading microfracture characteristics in Class I and Class II behaviour was identified. In Class I behaviour, intergranular fracture (IF) usually initiates at or near the grains, most cracks deflected along the grain boundaries, resulting in a sharp angular edge, then coalesces to the main fracture surface that splits the specimen along the direction of stress wave propagation. In contrast, Class II behaviour results from the combined IF and transgranular fracture (TF).