Aberdeen shrugged off the disappointment of seeing Celtic win at Hearts to beat Motherwell as Kilmarnock claimed a vital victory at Hamilton.
Aberdeen's faint Scottish Premiership title hopes are all but over after they lost 3-0 at St Johnstone on Friday night.
Celtic host Ross County in their first post-split match on April 24, two days after title rivals Aberdeen take on St Johnstone.
Alex Schalk scored the only goal as Ross County beat Partick to make certain of a top-half finish.
Dundee United's quest for Premiership survival is lifted by a win at St Johnstone while Kilmarnock are held at Partick.
Aberdeen lost ground on league leaders Celtic after Motherwell came from behind to win 2-1 at Fir Park.
St Johnstone have signed York City midfielder Michael Coulson on a two-year contract.
League Cup winners Ross County grabbed a 1-1 draw at St Johnstone in the Ladbrokes Scottish Premiership.
Scottish Cup holders Inverness CT were dumped out of the competition as they lost 2-1 to Hibernian.
Shaleum Logan grabbed Aberdeen's winner in a 2-1 win over Kilmarnock to keep pressure on leaders Celtic.
Aberdeen have cut Celtic's lead in the Scottish Premiership to four points after a 1-0 win over Dundee United at Tannadice.
Aberdeen were held to a draw by St Johnstone, Dundee United, Motherwell and Hearts win, while Dundee and Inverness draw.
Kris Doolan scored after coming off the bench to send Partick on their way to a 2-0 win over St Johnstone at Firhill.
St Johnstone have signed centre-half Plamen Krachunov until the end of the season.
Dundee United gave their faint Scottish Premiership survival hopes a boost by beating Hearts 2-1 on Saturday, as Ross County and St Johnstone also won.
The SPFL has revealed a number of key dates for the 2016/17 season including a return to a pre-Christmas League Cup final.
Kane Hemmings at the double as Dundee see off St Johnstone 2-0 at a sodden Dens Park.
Take a look at the highlights from a big weekend in the Scottish Cup and the Scottish Premiership.
Aberdeen moved level with Celtic at the top of the Premiership after two goals from Adam Rooney helped them to a 4-3 win over St Johnstone.
St Johnstone captain Dave Mackay will miss the rest of the season due to further problems with his hip.