The late Ian McColl, whose career was celebrated ahead of the match, would surely have approved.
The predatory instincts of Kris Boyd were fresh in the minds of the Hamilton players after the Rangers striker struck twice at New Douglas Park.
They knew he was a man to be feared and it took him only 24 minutes to pierce their armour again.
It was a typical Boyd goal; the sort he has based his career upon.
Strike partner Jean-Claude Darcheville forced his way to the byline and clipped the ball back into the six-yard box.
Sasa Papac, in an advanced role, helped the ball on and Boyd tried his luck. Tomas Cerny blocked that effort but Boyd followed up to force the rebound into the net.
It was his seventh goal of the season and it eased the mood at Ibrox although in truth there was never any danger of an upset like the one Hamilton caused some 21 years ago in the Scottish Cup,
Boyd had served notice that he was in the mood when he came close with a long range shot in four minutes after Steve Davis had played short free kick.
And the only surprise was that it took Rangers as long as 24 minutes to take the lead.
It was very comfortable for the Light Blues in the decidedly cold conditions although it wasn’t until the second goal came in 50 minutes that the job was done.
It was the Northern Ireland connection that produced it. Steve Davis clipped a diagonal ball into the box and Kyle Lafferty directed a great header into the top left corner.The same players almost combined again in 76 minutes when Davis drove a corner from the right and Lafferty caught the ball on the volley but it flew just over the top.
It was good for Lafferty to get a full 90 at Ibrox again and he looked to enjoy the occasion as Rangers made the semis with quite a lot to spare.
In the final five minutes Boyd came close to adding to the tally with a low shot at the near post but it was deflected for a corner.
However, the job had been done by that point.