The most useful radionuclides for describing the recent history of the lunar surface are 53Mn(t1/2=3.7 m.y.) and 26Al (t1/2=0.72 m.y.). On the time scales of ~0.1 to 10 m.y. on which these species give information, the lunar surface seems to be disturbed to depths of ~1 to 50 g/cm2. The most likely agent of such disturbances is meteoritic mixing. Since both large-scale and small-scale events are important, the use of Monte Carlo methods was indicated. Experimental evidence is now available for seven lunar cores, representing a significant statistical sample. It thus seems timely to consider the evidence for disturbance recorded in these cores on the time scales of 26Al and 53Mn and to match it against the predictions of a meteoritic mixing model. We show that if secondary processes of meteoritic impacts such as the down-slope movement of ejecta are taken into account, such a model is consistent with the experimental results (except for the anomalous core 70009), which, however, exhibit a tendency for deeper depth disturbances.