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1971-72 |

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Scottish Cup |
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Round One
- Burntisland Shipyard 2-0 Coldstream
- Elgin City 2-0 Stenhousemuir
- Gala Fairydean 1-5 Queen of the South
- Queen's Park 2-1 East Stirlingshire
- St Cuthbert Wanderers 0-3 Brechin City
Round Two
- Albion Rovers 3-2 Queen's Park
- Burntisland Shipyard 1-4 Elgin City
- Forfar Athletic 2-2 Stranraer
- Huntly 0-2 Hamilton Academical
- Inverness Thistle 3-4 Inverness Caledonian
- Queen of the South 0-0 Berwick Rangers
- Raith Rovers 2-1 Brechin City
- Stirling Albion 1-2 Alloa Athletic
Round Two Replays
- Berwick Rangers 0-1 Queen of the South
- Stranraer 1-2 Forfar Athletic
Round Three
- Arbroath 1-3 Airdrieonians
- Celtic 5-0 Albion Rovers
- Clyde 0-1 Ayr United
- Clydebank 1-1 East Fife
- Dumbarton 3-1 Hamilton Academical
- Dundee 3-0 Queen of the South
- Dundee United 0-4 Aberdeen
- Elgin City 3-1 Inverness Caledonian
- Falkirk 2-2 Rangers
- Forfar Athletic 0-1 St Mirren
- Heart of Midlothian 2-0 St Johnstone
- Kilmarnock 5-1 Alloa Athletic
- Morton 1-0 Cowdenbeath
- Motherwell 2-0 Montrose
- Partick Thistle 0-2 Hibernian
- Raith Rovers 2-0 Dunfermline Athletic
Round Three Replays
Round Four
- Aberdeen 1-0 Morton
- Ayr United 0-0 Motherwell
- Celtic 4-0 Dundee
- Dumbarton 0-3 Raith Rovers
- Elgin City 1-4 Kilmarnock
- Heart of Midlothian 4-0 Clydebank
- Hibernian 2-0 Airdrieonians
- St Mirren 1-4 Rangers
Round Four Replay
- Motherwell 2-1 Ayr United
Quarter Finals
- Celtic 1-1 Heart of Midlothian
- Hibernian 2-0 Aberdeen
- Motherwell 2-2 Rangers
- Raith Rovers 1-3 Kilmarnock
Quarter Finals Replays
- Heart of Midlothian 0-1 Celtic
Semi-finals
- Celtic 1-0 Kilmarnock (@ Hampden Park)
- Rangers 1-1 Hibernian (@ Hampden Park)
Semi-final Replay
- Rangers 0-2 Hibernian (@ Hampden Park)
Final (@ Hampden Park, 6/5/72)
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