Abstract: Aqueous dispersions of copolymers of(a) from 70 to 85% by weight of nontertiary butyl (meth)acrylates,(b) from 8 to 27.2% by weight of (meth)acrylates (A) whose homopolymers have a glass transition temperature greater than that of the polybutyl (meth)acrylate up to 0.degree. C. and (meth)acrylates (B) whose homopolymers have a glass transition temperature below that of the polybutyl (meth)acrylate, the weight ratio of the (meth)acrylates (A) to the (meth)acrylates (B) being from 3:1 to 1:3,(c) from 2 to 15% by weight of methyl methacrylate, styrene and/or acrylonitrile and(d) 0.8 to 5% by weight of monoolefinically unsaturated mono- and/or dicarboxylic acids of 3 to 5 carbon atoms and/or their amides which are unsubstituted or substituted at the nitrogen atoms by alkyl and/or alkylol radicals of 1 to 4 carbon atoms and/or hydroxyalkyl (meth)acrylates where the alkyl groups are of 2 to 5 carbon atoms,are used for coating sheet-like substrates.