Manager: Bill Struth
Home: Ibrox Stadium
Division A Winners: Rangers
Scottish Cup: Rangers
League Cup Winners: East Fife
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Section A | League Cup | Aug | 13 | Sat | a | L | Celtic | 2 | 3 | 71,000 |
| Section A | League Cup | 17 | Wed | H | W | St Mirren | 5 | 1 | 50,000 | |
| Section A | League Cup | 20 | Sat | H | W | Aberdeen | 4 | 2 | 50,000 | |
| Section A | League Cup | 27 | Sat | H | W | Celtic | 2 | 0 | 95,000 | |
| Section A | League Cup | 30 | Tue | a | D | St Mirren | 1 | 1 | 45,000 | |
| Section A | League Cup | Sep | 3 | Sat | a | D | Aberdeen | 1 | 1 | 43,000 |
| Division A | 10 | Sat | H | W | Partick Thistle | 2 | 0 | 60,000 | ||
| Quarter | League Cup | 17 | Sat | H | L | Cowdenbeath | 2 | 3 | 46,670 | |
| Quarter | League Cup | 21 | Sat | a | W | Cowdenbeath | 3 | 1 | 25,586 | |
| Division A | 24 | Tue | H | W | Celtic | 4 | 0 | 64,000 | ||
| Semi | League Cup | Oct | 8 | Sat | n | L | East Fife | 1 | 2 | 74,507 |
| Division A | 15 | Sat | a | W | Falkirk | 2 | 0 | 20,000 | ||
| Division A | 22 | Sat | H | W | Hearts | 1 | 0 | 50,000 | ||
| Division A | 29 | Sat | a | W | Aberdeen | 3 | 1 | 40,000 | ||
| Division A | Nov | 5 | Sat | a | L | Hibs | 0 | 1 | 51,500 | |
| Division A | 12 | Sat | H | W | St Mirren | 1 | 0 | 45,000 | ||
| Division A | 19 | Sat | a | W | Raith Rovers | 3 | 1 | 24,800 | ||
| Division A | 26 | Sat | H | W | Stirling Albion | 2 | 1 | 45,000 | ||
| Division A | Dec | 3 | Sat | H | W | Clyde | 5 | 4 | 25,000 | |
| Division A | 10 | Sat | a | L | Motherwell | 0 | 4 | 28,000 | ||
| Division A | 17 | Sat | H | W | Queen of the South | 1 | 0 | 18,000 | ||
| Division A | 24 | Sat | a | W | Partick Thistle | 3 | 1 | 35,000 | ||
| Division A | 31 | Sat | H | D | Dundee | 2 | 2 | 35,000 | ||
| Division A | Jan | 2 | Mon | a | D | Celtic | 1 | 1 | 65,000 | |
| Division A | 3 | Tue | H | W | Third Lanark | 3 | 1 | 30,000 | ||
| Division A | 7 | Sat | a | W | East Fife | 2 | 0 | 18,674 | ||
| Division A | 14 | Sat | H | W | Falkirk | 3 | 0 | 35,000 | ||
| Division A | 21 | Sat | a | W | Hearts | 1 | 0 | 49,000 | ||
| 1st | Scottish Cup | 28 | Sat | a | W | Motherwell | 4 | 2 | 32,000 | |
| Division A | Feb | 4 | Sat | H | D | Aberdeen | 2 | 2 | 50,000 | |
| 2nd | Scottish Cup | 11 | Sat | H | W | Cowdenbeath | 8 | 0 | 24,000 | |
| Division A | 18 | Sat | a | W | St Mirren | 2 | 1 | 40,000 | ||
| Division A | 25 | Sat | H | W | Raith Rovers | 2 | 0 | 35,000 | ||
| Division A | Mar | 4 | Sat | a | W | Stirling Albion | 2 | 0 | 25,000 | |
| Quarter | Scottish Cup | 11 | Sat | H | D | Raith Rovers | 1 | 1 | 43,080 | |
| Replay | Scottish Cup | 15 | Wed | a | D | Raith Rovers | 1 | 1 | 28,500 | |
| Division A | 18 | Sat | H | W | Motherwell | 2 | 0 | 38,000 | ||
| Division A | 25 | Sat | a | W | Queen of the South | 2 | 1 | 18,000 | ||
| Replay | Scottish Cup | 27 | Mon | H | W | Raith Rovers | 2 | 0 | 63,000 | |
| Semi | Scottish Cup | Apr | 1 | Sat | n | D | Queen of the South | 1 | 1 | 52,924 |
| Replay | Scottish Cup | 5 | Wed | n | W | Queen of the South | 3 | 0 | 58,975 | |
| Division A | 8 | Sat | H | D | East Fife | 2 | 2 | 40,000 | ||
| Division A | 10 | Mon | a | W | Clyde | 2 | 1 | 25,000 | ||
| Division A | 17 | Mon | a | W | Dundee | 1 | 0 | 32,000 | ||
| Final | Scottish Cup | 22 | Sat | n | W | East Fife | 3 | 0 | 120,015 | |
| Division A | 29 | Sat | H | D | Hibs | 0 | 0 | 101,000 | ||
| Division A | May | 1 | Mon | a | D | Third Lanark | 2 | 2 | 32800 |
Trivia
Celtic fans boycott the first Old Firm game at Ibrox as a protest that the referees in Scotland weren't being fair to them!
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