Dickson crossed for New Zealand's first try after just two minutes, with Joe Ravouvou adding a second three minutes later.
Ahead 12-0 at half-time, the Kiwis extended their lead via Kurt Baker shortly after the restart.
Dickson added a second three minutes later, then 18-year-old former rugby league age group star Etene Nanai-Seturo crossed for New Zealand's fifth to wrap up the game.
Earlier, Ravouvou and Dickson had bagged try-scoring doubles as New Zealand routed Russia 61-0 in their opening match.
Up 26-0 at half-time, the All Blacks Sevens lifted another notch by scoring five second-half tries to record the biggest win of the opening day.
New Zealand, coming off a win at the previous world series tournament In Cape Town, play Fiji in their third and final pool match later on Saturday.
Olympic champions Fiji outclassed the Samoans 31-5 on Friday, then accounted for Russia 24-0 on Saturday.