  Linear rate equations are used to describe the cascading decay of an initial
heavy cluster into fragments. We consider moments of arbitrary orders of the
mass multiplicity spectrum and derive scaling properties pertaining to their
time evolution. We suggest that the mass weighted multiplicity is a suitable
observable for the discovery of scaling. Numerical tests validate such
properties, even for moderate values of the initial mass (nuclei, percolation
clusters, jets of particles etc.). Finite size effects can be simply
parametrized.
