| 1 | Sun 28 Jul 2013 | 54-0 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 | 53-0 v StranraerStranraer 0-3 Rangers | Scottish League One |
| 5 | Fri 23 Aug 2013 | 56-0 v AirdrieoniansAirdrieonians 0-6 Rangers | Scottish League One |
| 6 | Tue 27 Aug 2013 | 52-0 v Berwick RangersRangers 2-0 Berwick Rangers | Ramsdens Cup Quarter Final |
| 7 | Sat 31 Aug 2013 | 55-0 v East FifeRangers 5-0 East Fife | Scottish League One |
| 8 | Tue 17 Sep 2013 | 53-0 v Queen of the SouthQueen of the South 0-3 Rangers | Ramsdens Cup Semi Final |
| 9 | Sun 22 Sep 2013 | 51-0 v Forfar AthleticForfar Athletic 0-1 Rangers | Scottish League One |
| 10 | Sat 28 Sep 2013 | 58-0 v StenhousemuirRangers 8-0 Stenhousemuir | Scottish League One |
| 11 | Sun 6 Oct 2013 | 52-0 v Ayr UnitedAyr United 0-2 Rangers | Scottish League One |
| 12 | Sat 26 Oct 2013 | 54-0 v East FifeEast Fife 0-4 Rangers | Scottish League One |
| 13 | Tue 29 Oct 2013 | 51-0 v StenhousemuirStenhousemuir 0-1 Rangers | Ramsdens Cup Semi Final |
| 14 | Fri 1 Nov 2013 | 53-0 v AirdrieoniansRangers 3-0 Airdrieonians | Scottish FA Cup Third Round |
| 15 | Wed 6 Nov 2013 | 53-1 v Dunfermline AthleticRangers 3-1 Dunfermline Athletic | Scottish League One |
| 16 | Sat 9 Nov 2013 | 52-0 v AirdrieoniansRangers 2-0 Airdrieonians | Scottish League One |
| 17 | Mon 25 Nov 2013 | 53-0 v ArbroathArbroath 0-3 Rangers | Scottish League One |
| 18 | Sat 30 Nov 2013 | 52-0 v FalkirkFalkirk 0-2 Rangers | Scottish FA Cup Fourth Round |
| 19 | Tue 3 Dec 2013 | 56-1 v Forfar AthleticRangers 6-1 Forfar Athletic | Scottish League One |
| 20 | Sat 7 Dec 2013 | 53-0 v Ayr UnitedRangers 3-0 Ayr United | Scottish League One |
| 21 | Thu 26 Dec 2013 | 51-1 v StranraerRangers 1-1 Stranraer | Scottish League One |
| 22 | Mon 30 Dec 2013 | 54-0 v Dunfermline AthleticDunfermline Athletic 0-4 Rangers | Scottish League One |
| 23 | Thu 2 Jan 2014 | 51-0 v AirdrieoniansAirdrieonians 0-1 Rangers | Scottish League One |
| 24 | Sun 5 Jan 2014 | 52-0 v StenhousemuirStenhousemuir 0-2 Rangers | Scottish League One |
| 25 | Sat 11 Jan 2014 | 52-0 v East FifeRangers 2-0 East Fife | Scottish League One |
| 26 | Mon 20 Jan 2014 | 52-0 v Forfar AthleticForfar Athletic 0-2 Rangers | Scottish League One |
| 27 | Sat 25 Jan 2014 | 53-2 v ArbroathRangers 3-2 Arbroath | Scottish League One |
| 28 | Sat 1 Feb 2014 | 52-1 v Brechin CityRangers 2-1 Brechin City | Scottish League One |
| 29 | Fri 7 Feb 2014 | 54-0 v Dunfermline AthleticRangers 4-0 Dunfermline Athletic | Scottish FA Cup Fifth Round |
| 30 | Sat 15 Feb 2014 | 52-0 v Ayr UnitedAyr United 0-2 Rangers | Scottish League One |
| 31 | Sat 22 Feb 2014 | 53-3 v StenhousemuirRangers 3-3 Stenhousemuir | Scottish League One |
| 32 | Tue 25 Feb 2014 | 52-0 v StranraerStranraer 0-2 Rangers | Scottish League One |
| 33 | Sat 1 Mar 2014 | 51-0 v East FifeEast Fife 0-1 Rangers | Scottish League One |
| 34 | Sun 9 Mar 2014 | 51-1 v Albion RoversRangers 1-1 Albion Rovers | Scottish FA Cup Sixth Round |
| 35 | Wed 12 Mar 2014 | 53-0 v AirdrieoniansRangers 3-0 Airdrieonians | Scottish League One |
| 36 | Mon 17 Mar 2014 | 52-0 v Albion RoversAlbion Rovers 0-2 Rangers | Scottish FA Cup Sixth Round |
| 37 | Sun 23 Mar 2014 | 52-1 v Brechin CityBrechin City 1-2 Rangers | Scottish League One |
| 38 | Sat 29 Mar 2014 | 52-1 v ArbroathArbroath 1-2 Rangers | Scottish League One |
| 39 | Sun 6 Apr 2014 | 50-1 v Raith RoversRaith Rovers 1-0 Rangers | Ramsdens Cup Final |
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