| 1. Jornada | 07.08.2004 | Dundee FC | - | Heart of Midlothian | 0:1 |  |
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| 2. Jornada | 14.08.2004 | Heart of Midlothian | - | Aberdeen FC | 0:0 | |
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| 3. Jornada | 21.08.2004 | Heart of Midlothian | - | Kilmarnock FC | 3:0 |  |
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| 4. Jornada | 28.08.2004 | Motherwell FC | - | Heart of Midlothian | 2:0 | |
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| 10. Jornada | 24.10.2004 | Heart of Midlothian | - | Hibernian FC | 2:1 | ||||
| 11. Jornada | 27.10.2004 | Dundee United | - | Heart of Midlothian | 1:1 | ||||
| 12. Jornada | 30.10.2004 | Heart of Midlothian | - | Dundee FC | 3:0 | ||||
| 13. Jornada | 07.11.2004 | Aberdeen FC | - | Heart of Midlothian | 0:1 | |
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| 14. Jornada | 13.11.2004 | Kilmarnock FC | - | Heart of Midlothian | 1:1 | ||||
| 15. Jornada | 20.11.2004 | Heart of Midlothian | - | Motherwell FC | 0:1 | |
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| 16. Jornada | 28.11.2004 | Rangers FC | - | Heart of Midlothian | 3:2 | ||||
| 17. Jornada | 04.12.2004 | Heart of Midlothian | - | Dunfermline Athletic | 3:0 | |
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| 18. Jornada | 11.12.2004 | Inverness CT | - | Heart of Midlothian | 1:1 | ||||
| 22. Jornada | 15.01.2005 | Heart of Midlothian | - | Dundee United | 3:2 | ||||
| 23. Jornada | 22.01.2005 | Dundee FC | - | Heart of Midlothian | 1:1 | ||||
| 29. Jornada | 12.03.2005 | Heart of Midlothian | - | Inverness CT | 0:2 |
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