A thermoplastic molding composition, comprising the following amounts of components A, B, C, and D: a) from 3 to 91.9% by weight of one or more styrene copolymers A, b) from 3 to 91% by weight of one or more polyamides B, c) from 5 to 50% by weight of one or more graft polymers C, d) from 0.1 to 25% by weight of one or more terpolymers D, whose oligomer content is smaller than 3% by weight, and also, if appropriate, comprising, as further components, a further rubber E, an at least monofunctional anhydride F, fibrous or particulate fillers G, and also further additives H, has markedly reduced anisotropy of impact resistance.