Little is known about the statistics of gravitationally lensed quasars at l
arge (7-30 arcsec) image separations, which probe masses on the scale of ga
laxy clusters. We have carried out a survey for gravitationally lensed obje
cts, among sources in the FIRST 20-cm radio survey that have unresolved opt
ical counterparts in the digitizations of the Palomar Observatory Sky Surve
y. From the statistics of ongoing surveys that search for quasars among FIR
ST sources, we estimate that there are about 9100 quasars in this source sa
mple, making this one of the largest lensing surveys to date. Using broad-b
and imaging, we have isolated all objects with double radio components sepa
rated by 5-30 arcsec that have unresolved optical counterparts with similar
BVI colours. Our criteria for similar colours conservatively allow for obs
ervational error and for colour variations due to time delays between lense
d images. Spectroscopy of these candidates shows that none of the pairs are
lensed quasars. This sets an upper limit (95 per cent confidence) on the l
ensing fraction in this survey of 3.3 x 10(-4) assuming 9100 quasars. Altho
ugh the source redshift distribution is poorly known, a rough calculation o
f the expected lensing frequency and the detection efficiencies and biases
suggests that simple theoretical expectations are of the same order of magn
itude as our observational upper limit. Our procedure is novel in that our
exhaustive search for lensed objects does not require prior identification
of the quasars in the sample as such. Characterization of the FIRST-selecte
d quasar population will enable use of our result to constrain quantitative
ly the mass properties of clusters.