Craig Mackail-Smith scored four goals as Peterborough cruised past Ryman League Staines and into round three.
Mackail-Smith fired the opener after Chris Whelpdale's shot had been blocked and Aaron McLean hit the second after beating Shaun Allaway to the ball.
Mackail-Smith made it three after a knockdown from George Boyd and turned in Boyd's cross for his hat-trick.
He hit his fourth after Boyd's shot had been blocked by Allaway, who made a string of saves to keep the score down.
Staines Town: Allaway, Nugent (Thompson 12), Gordon, Flitter, Sargent, Clarke, Risbridger, Toppin, Cook (Howard Newton 66), Charles-Smith (Asombang 78), Nwokeji.
Subs Not Used: Courtnage, Scarlett.
Peterborough: Tyler, Gnakpa, Morgan, Westwood, Day, Boyd (Hughes 86), Hyde (Keates 62), Lee, Whelpdale (Low 68), Mclean, Mackail-Smith.
Subs Not Used: McKeown, Howe.
Goals: Mackail-Smith 10, Mclean 18, Mackail-Smith 23, 53, 62.
Ref: M Russell (St Albans).