Zach Eckersley scored four tries and Jake Wardle three as the Warriors, last year’s Super League runners-up, easily despatched the Hornets.
Wakefield showed no mercy in their victory either, with Max Jowitt, Matthew Storton and Josh Rourke sharing seven tries between them against the Lions.
Batley were overwhelmed by Catalans, conceding within the first 17 seconds before the visitors ran in a further nine tries.
Elsewhere, Oldham easily defeated Dewsbury Rams 46-0 and Keighley Cougars edged a low-scoring encounter against Midlands Hurricanes 18-14.
The draw for the fourth round will take place on Monday, 9 February, with live coverage on BBC Radio Manchester from 18:40 GMT.