We investigate the relation between star formation rates ((M) over dot(s)) and AGN properties in optically selected type 1 quasars at 2 < z < 3 using data from Herschel and the SDSS. We find that (M) over dot(s) remains approximately constant with redshift, at 300 +/- 100 M-circle dot yr(-1). Conversely, (M) over dot(s) increases with AGN luminosity, up to a maximum of similar to 600 M-circle dot yr(-1), and with CIV FWHM. In context with previous results, this is consistent with a relation between (M) over dot(s) and black hole accretion rate ((M) over dot(bh)) existing in only parts of the z - (M) over dot(s) - (M) over dot(bh) plane, dependent on the free gas fraction, the trigger for activity, and the processes that may quench star formation. The relations between (M) over dot(s) and both AGN luminosity and C IV FWHM are consistent with star formation rates in quasars scaling with black hole mass, though we cannot rule out a separate relation with black hole accretion rate. Star formation rates are observed to decline with increasing CIV equivalent width. This decline can be partially explained via the Baldwin effect, but may have an additional contribution from one or more of three factors; M-i is not a linear tracer of L-2500, the Baldwin effect changes form at high AGN luminosities, and high C IV EW values signpost a change in the relation between (M) over dot(s) and (M) over dot(bh). Finally, there is no strong relation between (M) over dot(s) and Eddington ratio, or the asymmetry of the C IV line. The former suggests that star formation rates do not scale with how efficiently the black hole is accreting, while the latter is consistent with C IV asymmetries arising from orientation effects.