| 1 | Sun 28 Jul 2013 | 24-0 v Albion RoversAlbion Rovers 0-4 Rangers | Ramsdens Cup Second Round |
| 2 | Sat 3 Aug 2013 | 1-2 v Forfar AthleticForfar Athletic 2-1 Rangers | Scottish Communities Cup First Round |
| 3 | Sat 10 Aug 2013 | 4-1 v Brechin CityRangers 4-1 Brechin City | Scottish League One |
| 4 | Sat 17 Aug 2013 | 33-0 v StranraerStranraer 0-3 Rangers | Scottish League One |
| 5 | Fri 23 Aug 2013 | 36-0 v AirdrieoniansAirdrieonians 0-6 Rangers | Scottish League One |
| 6 | Tue 27 Aug 2013 | 22-0 v Berwick RangersRangers 2-0 Berwick Rangers | Ramsdens Cup Quarter Final |
| 7 | Sat 31 Aug 2013 | 45-0 v East FifeRangers 5-0 East Fife | Scottish League One |
| 8 | Sat 14 Sep 2013 | 25-1 v ArbroathRangers 5-1 Arbroath | Scottish League One |
| 9 | Tue 17 Sep 2013 | 143-0 v Queen of the SouthQueen of the South 0-3 Rangers | Ramsdens Cup Semi Final |
| 10 | Sun 22 Sep 2013 | 121-0 v Forfar AthleticForfar Athletic 0-1 Rangers | Scottish League One |
| 11 | Wed 6 Nov 2013 | 123-1 v Dunfermline AthleticRangers 3-1 Dunfermline Athletic | Scottish League One |
| 12 | Sat 9 Nov 2013 | 22-0 v AirdrieoniansRangers 2-0 Airdrieonians | Scottish League One |
| 13 | Mon 25 Nov 2013 | 23-0 v ArbroathArbroath 0-3 Rangers | Scottish League One |
| 14 | Sat 30 Nov 2013 | 22-0 v FalkirkFalkirk 0-2 Rangers | Scottish FA Cup Fourth Round |
| 15 | Tue 3 Dec 2013 | 26-1 v Forfar AthleticRangers 6-1 Forfar Athletic | Scottish League One |
| 16 | Sat 7 Dec 2013 | 23-0 v Ayr UnitedRangers 3-0 Ayr United | Scottish League One |
| 17 | Thu 26 Dec 2013 | 21-1 v StranraerRangers 1-1 Stranraer | Scottish League One |
| 18 | Mon 30 Dec 2013 | 24-0 v Dunfermline AthleticDunfermline Athletic 0-4 Rangers | Scottish League One |
| 19 | Thu 2 Jan 2014 | 21-0 v AirdrieoniansAirdrieonians 0-1 Rangers | Scottish League One |
| 20 | Sun 5 Jan 2014 | 32-0 v StenhousemuirStenhousemuir 0-2 Rangers | Scottish League One |
| 21 | Sat 11 Jan 2014 | 22-0 v East FifeRangers 2-0 East Fife | Scottish League One |
| 22 | Mon 20 Jan 2014 | 42-0 v Forfar AthleticForfar Athletic 0-2 Rangers | Scottish League One |
| 23 | Sat 25 Jan 2014 | 23-2 v ArbroathRangers 3-2 Arbroath | Scottish League One |
| 24 | Sat 1 Feb 2014 | 22-1 v Brechin CityRangers 2-1 Brechin City | Scottish League One |
| 25 | Fri 7 Feb 2014 | 24-0 v Dunfermline AthleticRangers 4-0 Dunfermline Athletic | Scottish FA Cup Fifth Round |
| 26 | Sat 15 Feb 2014 | 62-0 v Ayr UnitedAyr United 0-2 Rangers | Scottish League One |
| 27 | Sat 22 Feb 2014 | 23-3 v StenhousemuirRangers 3-3 Stenhousemuir | Scottish League One |
| 28 | Sun 9 Mar 2014 | 171-1 v Albion RoversRangers 1-1 Albion Rovers | Scottish FA Cup Sixth Round |
| 29 | Sat 15 Mar 2014 | 52-0 v Dunfermline AthleticRangers 2-0 Dunfermline Athletic | Scottish League One |
| 30 | Mon 17 Mar 2014 | 142-0 v Albion RoversAlbion Rovers 0-2 Rangers | Scottish FA Cup Sixth Round |
| 31 | Sun 23 Mar 2014 | 142-1 v Brechin CityBrechin City 1-2 Rangers | Scottish League One |
| 32 | Sat 29 Mar 2014 | 32-1 v ArbroathArbroath 1-2 Rangers | Scottish League One |
| 33 | Sun 6 Apr 2014 | 140-1 v Raith RoversRaith Rovers 1-0 Rangers | Ramsdens Cup Final |
| 34 | Sat 19 Apr 2014 | 144-0 v StenhousemuirStenhousemuir 0-4 Rangers | Scottish League One |
| 35 | Sat 3 May 2014 | 61-1 v Dunfermline AthleticDunfermline Athletic 1-1 Rangers | Scottish League One |
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