| 24. Round | 29/01/2005 | Heart of Midlothian | - | Aberdeen FC | 1:0 | ||||
| 25. Round | 12/02/2005 | Heart of Midlothian | - | Kilmarnock FC | 3:0 | ||||
| 26. Round | 19/02/2005 | Motherwell FC | - | Heart of Midlothian | 2:0 | ||||
| 27. Round | 02/03/2005 | Heart of Midlothian | - | Rangers FC | 1:2 |  |
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| 28. Round | 05/03/2005 | Dunfermline Athletic | - | Heart of Midlothian | 1:1 | ||||
| 30. Round | 19/03/2005 | Heart of Midlothian | - | Livingston FC | 3:1 | |
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| 31. Round | 02/04/2005 | Celtic FC | - | Heart of Midlothian | 0:2 | |
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| 32. Round | 13/04/2005 | Heart of Midlothian | - | Hibernian FC | 1:2 | ||||
| 33. Round | 16/04/2005 | Dundee United | - | Heart of Midlothian | 2:1 |
Scotland