The present invention relates to a method of combating animal pests which comprises contacting the animal pests, their habit, breeding ground, food supply, plant, seed, soil, area, material or environment in which the animal pests are growing or may grow, or the materials, plants, seeds, soils, surfaces or spaces to be protected from animal attack or infestation with a pesticidally effective amount of at least one cyanobenzene compound of the formula (I) and/or at least one agriculturally acceptable salt thereof: where m is 0, 1 or 2; is a radical of the formulae N.dbd.CR.sup.5R.sup.6, N.dbd.SR.sup.7R.sup.8, NR.sup.10--C(.dbd.X)--R.sup.9, where X is O, S A or NR.sup.11, or A is a N-bound 5-, 6- or 7-membered heterocycle, which is ethylenically unsaturated or aromatic, and which additionally may contain 1, 2, or 3 further heteroatoms or heteroatom groups, selected from O, S, SO, SO.sub.2, N, and NR.sup.12, and/or 1, 2 or 3 carbonyl groups as ring members and which may carry 1, 2, 3 or 4 radicals R.sup.13, where the radicals R.sup.1 to R.sup.13 are as defined in the claims or the description. The invention further relates to specific compounds I and to agricultural compositions comprising them.