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We analyse C$^{18}$O ($J=3-$2) data from a sample of 99 infrared-brightmassive young stellar objects (MYSOs) and compact HII regions that wereidentified as potential molecular-outflow sources in the Red MSX source (RMS)survey. We extract a distance limited (D $<$ 6 kpc) sample shown to berepresentative of star formation covering the transition between the sourcetypes. At the spatial resolution probed, Larson-like relationships are foundfor these cores, though the alternative explanation, that Larson's relationsarise where surface-density-limited samples are considered, is also consistentwith our data. There are no significant differences found between sourceproperties for the MYSOs and HII regions, suggesting that the core propertiesare established prior to the formation of massive stars, which subsequentlyhave little impact at the later evolutionary stages investigated. There is astrong correlation between dust-continuum and C$^{18}$O-gas masses, supportingthe interpretation that both trace the same material in these IR-brightsources. A clear linear relationship is seen between the independentlyestablished core masses and luminosities. The position of MYSOs and compact HIIregions in the mass-luminosity plane is consistent with the luminosity expecteda cluster of protostars when using a $\sim$40 percent star-formation efficiencyand indicates that they are at a similar evolutionary stage, near the end ofthe accretion phase.

A distance limited sample of massive star forming cores from the RMS survey