Quad 405 is a very fine power amp. But its minimum sound input option will be around 500 millivolts and it probably only has one input and no volume or tone controls.
The matching Quad 33 preamp was often paired to a 405 and contains those options -- volume and tone, filters, input switchable between phono, tuner, aux, cd and a low level out put to feed to a tape deck. Most importantly at the time when these amps were produced, the preamp contains a circuit which boosts the tiny output from a turntable's pickup cartridge to more usable levels and applies equalisation.
There are other preamps which will work with a Quad power amp, and the 33 I mention is not the best performing Quad you can match to yours -- I believe the later 44 model was better sounding.