  We use the ages, masses and metallicities of the rich young star cluster
systems in the nearby starburst galaxies NGC 3310 and NGC 6745 to derive their
cluster formation histories and subsequent evolution. We further expand our
analysis of the systematic uncertainties involved in the use of broad-band
observations to derive these parameters by examining the effects of a priori
assumptions on the individual cluster metallicities. The age (and metallicity)
distributions of both the clusters in the circumnuclear ring in NGC 3310 and of
those outside the ring are statistically indistinguishable, but there is a
clear and significant excess of higher-mass clusters IN the ring compared to
the non-ring cluster sample; it is likely that the physical conditions in the
starburst ring may be conducive for the formation of higher-mass star clusters,
on average, than in the relatively more quiescent environment of the main
galactic disc. For the NGC 6745 cluster system we derive a median age of ~10
Myr. NGC 6745 contains a significant population of high-mass "super star
clusters", with masses in the range 6.5 <= log(M_cl/M_sun) <= 8.0. This
detection supports the scenario that such objects form preferentially in the
extreme environments of interacting galaxies. The age of the cluster
populations in both NGC 3310 and NGC 6745 is significantly lower than their
respective characteristic cluster disruption time-scales. This allows us to
obtain an independent estimate of the INITIAL cluster mass function slope,
alpha = 2.04(+- 0.23)(+0.13)(-0.43) for NGC 3310, and 1.96(+- 0.15)(+- 0.19)
for NGC 6745, respectively, for masses M_cl >= 10^5 M_sun and M_cl >= 4 x 10^5
M_sun. These mass function slopes are consistent with those of other young star
cluster systems in interacting and starburst galaxies.
