Motivated by recent experiments, which found substantial disorder in graphene, we discuss the transport of quasiparticles on a honeycomb lattice in the presence of disorder and a weak magnetic field. Assuming that disorder is mostly due to ripples in the graphene sheet, a model with random bonds is studied. Several approaches are considered and their results in terms of the conductivity are compared. This includes a general discussion of the frequency-dependent conductivity. We find a substantial suppression of magnetotransport effects for sufficiently strong disorder, consistent with recent experimental observations by Morozov et al.