Queen’s started on the front foot and a net-bound shot from Aaron Healy was tipped over before the two-minute mark with an offside flag denying the visitors a corner.
Fresh from his first team debut Zach Mauchin took the game to the hosts in the following minute and his run did earn a free-kick however the danger was cleared.
On eight minutes Rocco Hickey-Fugaccia was released by a through ball from Healy however the Rangers defence regrouped only for the winger to burst past three players in the following minute.
Hickey-Fugaccia’s progress was ended by a shirt pull that the referee deemed was not worthy of a free-kick.
On 13 minutes Same Kane was called into action for the first time as he pushed away an effort from Aaron Lyall after the midfielder had worked his way into the penalty box.
Queen’s were soon back on the attack and a cross-field pass from Mauchin found Lucas McCormick on the left and he picked out Healy who saw his first-time volley drift wide.
Midway through the opening half a quick free-kick from Ricky Waugh released McCormick on the left and his low drive was held by Mason Munn.
Ben Ferguson stood tall on 29 minutes to clear a Connor Allan cross just as Paul Nsio waited to pounce.
Nsio was the creator of the opening goal 12 minutes from the break when he kept in a ball that looked set to go out of play and set over a cross that recently introduced substitute Josh Gentles headed in.
Rangers took confidence from that goal and Bailey Rice clipped the outside of a post from 18 yards before Allan forced Kane into a stop in first half injury time.
Early into the restart Kane saved from James Graham and that gave Queen’s Park a platform to go for an equaliser and they were only an inch out from getting one on 51 minutes.
Mauchin pierced the home defence with a through pass that allowed Alex Fairlie to run clear on the right and he picked out the unmarked McCormick with a sliding pass. The left sided attacker slipped his shot past Munn however watched on in agony as the ball rolled just past the Rangers goal.
McCormick looked to make amends immediately and sent in a 20-yard shot that was deflected wide.
Just before the hour mark Ferguson showed his defensive prowess again with a strong challenge that ended an attack by the hosts however there was little he could do on 61 minutes when Rangers grabbed a second.
Kane had been forced into a save after a miscued pass-back and the ball was played into the path of Rice who cracked into the net from 25 yards.
Two nil was tough on Young Queen’s Pak and 3-0 two minutes later was even tougher as Nsio cut the ball back to James Graham who slid a shot into the far corner.
The Black and White youngsters rallied and Fairlie forced Munn into a save with a clever flick from a Healy corner.
With 11 minutes left substitute Jamie Bradley was brought down 20 yards from the Rangers goal with Cameron Bruce sending the resultant free-kick just over.
Another chance for YQP came on 86 minutes when another replacement Ross McLean got on the end of a Hickey-Fugaccia cross with Munn doing well to block his close-range stabbed shot.
Rangers added a fourth when Zander Hutton’s long ball was tapped into the path of Tyler Pasnick who shot low into Kane’s net from 20 yards.
Queen’s were denied the consolation they were at least due when Hickey-Fugaccia’s low ball across the face of Munn’s goal went unconverted with the sliding McLean an inch out from turning it in.
Young Queen’s Park – Sam Kane, Zach Mauchin (Joseph Smith 69), Cameron Bruce, Will Tizzard, Benjamin Ferguson (Archie Graham 69), Ricky Waugh (Andrew Lind 62), Rocco Hickey-Fugaccia, Lennon Connolly (Ross McLean 75), Alex Fairlie, Aaron Healy (Jamie Bradley 75), Lucas McCormick
Unused substitutes – Liam Russell, Liam McVey.
Rangers B – Mason Munn, Zander Hutton, Robbie Fraser, Johnly Yfeko (Leyton Grant 75), Connor Allan, Bailey Rice, Paul Nsio (Darren McInally 70), Cole McKinnon, Archie Stevens (Josh Gentles 32), Aaron Lyall, James Graham (Tyler Pasnik 75)
Unused substitutes – Alfie Halliwell, Jamie Newton, Findlay Curtis.