Meanwhile, the No. 8 Western Mustangs outscored the Windsor Lancers 56-35 in the other Ontario University Athletics quarter-final matchup.
Those results mean that Queen's visits Guelph in one OUA semifinal next weekend, while McMaster hosts Western in the other.
The other three Canadian Interuniversity Sport conferences closed out regular-season play Saturday.
No. 2 Laval downed Concordia 32-19, No. 3 Calgary hammered No. 10 Manitoba 78-54, No. 4 Montreal thumped Bishop's 37-7, No. 9 Acadia topped Mount Allison 45-24, Sherbrooke beat McGill 30-17 and Saint Mary's crushed St.FX 49-3.
No. 10 Manitoba visited No. 3 Calgary in the late game.
At Kingston, Ont., Giovanni Aprile also scored an early touchdown on a 17-yard reception as Queen's jumped out to a 17-0 lead.
Queen's quarterback Billy McPhee, who was 21-for-31 passing for 225 yards, added some insurance in the second half with a two-yard touchdown run. Dillon Wamsley kicked two field goals and Queen's added six points on three safeties.
Running back Jesse Andrews led the Gaels on the ground with 135 yards on 22 carries.
Queen's recorded 401 yards of total offence to just 179 for the Golden Hawks. Laurier QB James Fracas was 17-for-31 for 161 yards with one interception.
Mustangs 56, Lancers 35
At London, Ont., Will Finch threw four touchdown passes to Matt Uren as Western pummelled Windsor to advance to the OUA semifinals.
Finch was 20-of-29 passing for 334 yards as the Mustangs racked up a whopping 489 yards of total offence.
Western held a slim 13-12 lead after the first quarter before erupting for 31 second-quarter points.
No. 2 Rouge et Or 32, Stingers 19
At Montreal, Pascal Lochard rushed for 161 yards and a touchdown as Laval (8-1) defeated Concordia (1-7-1).
Laval hosts McGill in the RSEQ semfinals next weekend.
No. 3 Dinos 78, No. 10 Bisons 54
At Calgary, Mercer Timmis scored five rushing touchdowns as the Dinos (7-1) routed Manitoba (4-4).
Calgary will host Manitoba in one of next weekend's Canada West semifinals. The other semi will see Saskatewan visit No. 7 Regina.
No. 4 Carabins 37, Gaiters 7
At Lennoxville, Que., Rotrand Sene rushed for 84 yards and a touchdown as Montreal (8-1) eased past Bishop's (2-6-1).
Montreal hosts Sherbrooke in the RSEQ semifinals next weekend.
No. 9 Axemen 45, Mounties 24
At Wolfville, N.S., Kyle Graves threw for 292 yards and two touchdowns as Acadia (7-1) romped over Mount Allison (3-5).
Acadia has a bye to the AUS final in two weeks, while the Mounties will visit Saint Mary's in the AUS semifinal next weekend.
Vert et Or 30, Redmen 17
At Sherbrooke, Que., Jeremi Doyon-Roch threw for 420 yards and three touchdowns as the Vert et Or (6-3) got past McGill (2-7).
Sherbrooke visits Montreal in the RSEQ semifinals next weekend, while McGill travels to Laval.
Huskies 49, X-Men 3
At Halifax, Melvin Abankwah rushed for 206 yards and a touchdown as Saint Mary's (3-5) hammered St. FX (2-6).
With the win, the Huskies clinched second place in the AUS and will host Mount Allison in next weekend's conference semifinal.
The X-Men were eliminated from playoff contention.