Scottish Cup holders Glasgow City progressed to the semi-finals after beating Hamilton Academical 11-0.
Susan Fairlie, Denise O'Sullivan, Eilish McSorley and Courtney Whyte got two each. Suzanne Lappin, Julie Nelson and Morgan Marlborough also netted.
Hibernian and Spartans also enjoyed comfortable wins over Falkirk and Inverness, respectively, but Aberdeen's tie with Rangers went to extra-time.
And it was the Dons who went through by two goals to one.
Kirsty Smith scored a brace in Hibs' 6-1 win, with Katey Turner, Chelsea Cornet, Lucy Graham and Lizzie Arnot also on target.
Spartans had five different scorers - Claire Crosbie, Sarah Ewens, Trish McLaughlin, Louise Mason and Lana Clelland - in their 5-0 victory.
Rebecca Dempster and Rachael Small got Aberdeen's goals with Erin Cuthbert registering for Rangers.
Reflecting on Glasgow's win, head coach Eddie Wolecki Black said: "Cup ties are about one thing and that's about getting into the next round.
"Firstly I am delighted we are through to the semi-final draw. However the pleasing thing is that we have managed to achieve that by turning in an excellent performance.
"The build-up play was done at a tempo that suited us, our combination play was of a high standard and the variety of chances we created was great to watch.
"Courtney Whyte's second goal was a superb finish but the build-up to the goal was as good as I have seen from us.
"We have once again returned another clean sheet and that adds to our confidence. We can look forward to the cup draw at Hampden and now have a full week to prepare for the visit to Rangers in a top of the table clash."
Aberdeen 2-1 Rangers (aet)
Falkirk 1-6 Hibernian
Glasgow City 11-0 Hamilton Academical
Spartans 5-0 Inverness