Dunfermline Athletic beat Arbroath 1-0 at East End Park in the first leg of the William Hill Premiership play-off quarter-final thanks to an early goal from Chris Kane.
The second leg takes place at Gayfield on Friday night, with the winners then taking on Partick Thistle in the semi-finals next week.
Alloa Athletic defeated Airdrieonians 1-0 at the Indodrill Stadium in the first leg of their Championship play-off semi-final while Queen of the South and Stenhousemuir drew 1-1 at Palmerston.
Clyde saw off Spartans 2-0 at New Douglas Park in the first leg of the League 1 play-off semi-final while Hamilton Accies are also in a strong position thanks to a 3-1 victory at Forfar Athletic.