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Rangers 1st, Scottish Premier League |
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| UEFA Cup |
| Q1 L1 | 22-Jul-98 | N | Shelbourne | W | 5-3 | (0-2) | 6,047 |
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| Q1 L2 | 29-Jul-98 | H | Shelbourne | W | 2-0 | (1-0) | 46,906 |
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| Q2 L1 | 11-Aug-98 | H | PAOK Thessaloníki | W | 2-0 | (0-0) | 35,392 |
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| Q2 L2 | 25-Aug-98 | A | PAOK Thessaloníki | D | 0-0 | (0-0) | 32,000 |
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| 1 L1 | 15-Sep-98 | A | Beitar Jerusalem | D | 1-1 | (0-1) | 14,000 |
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| 1 L2 | 01-Oct-98 | H | Beitar Jerusalem | W | 4-2 | (2-1) | 44,077 |
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| 2 L1 | 22-Oct-98 | A | Bayer Leverkusen | W | 2-1 | (1-0) | 22,000 |
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| 2 L2 | 05-Nov-98 | H | Bayer Leverkusen | D | 1-1 | (0-0) | 50,012 |
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| 3 L1 | 24-Nov-98 | H | Parma | D | 1-1 | (0-0) | 49,514 |
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| 3 L2 | 08-Dec-98 | A | Parma | L | 1-3 | (1-0) | 22,000 |
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| Scottish Premier League |
| No. | Date | Ven | Opponent | Result | HT | Attend |
| 11 | 02-Aug-98 | A | Heart of Midlothian | L | 1-2 | (1-2) | 15,982 |
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| 12 | 15-Aug-98 | H | Motherwell | W | 2-1 | (1-0) | 49,275 |
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| 13 | 22-Aug-98 | A | Kilmarnock | W | 3-1 | (2-0) | 17,608 |
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| 14 | 29-Aug-98 | H | St Johnstone | W | 4-0 | (2-0) | 48,732 |
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| 15 | 12-Sep-98 | A | Dundee United | D | 0-0 | (0-0) | 12,788 |
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| 16 | 20-Sep-98 | H | Celtic | D | 0-0 | (0-0) | 50,026 |
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| 17 | 23-Sep-98 | A | Aberdeen | D | 1-1 | (0-1) | 17,862 |
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| 18 | 26-Sep-98 | A | Dunfermline Athletic | W | 2-0 | (1-0) | 11,507 |
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| 19 | 04-Oct-98 | H | Dundee | W | 1-0 | (0-0) | 48,348 |
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| 20 | 17-Oct-98 | H | Heart of Midlothian | W | 3-0 | (0-0) | 49,749 |
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| 21 | 28-Oct-98 | A | Motherwell | L | 0-1 | (0-0) | 11,777 |
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| 22 | 31-Oct-98 | H | Dundee United | W | 2-1 | (0-1) | 49,503 |
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| 23 | 08-Nov-98 | A | St Johnstone | W | 7-0 | (3-0) | 9,636 |
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| 24 | 14-Nov-98 | H | Aberdeen | W | 2-1 | (1-0) | 49,479 |
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| 25 | 21-Nov-98 | A | Celtic | L | 1-5 | (0-1) | 59,703 |
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| 26 | 05-Dec-98 | H | Dunfermline Athletic | D | 1-1 | (1-0) | 47,465 |
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| 27 | 12-Dec-98 | H | Kilmarnock | W | 1-0 | (1-0) | 49,781 |
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| 28 | 19-Dec-98 | A | Heart of Midlothian | W | 3-2 | (1-1) | 17,134 |
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| 29 | 26-Dec-98 | H | St Johnstone | W | 1-0 | (0-0) | 47,479 |
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| 30 | 30-Dec-98 | A | Dundee United | W | 2-1 | (1-1) | 11,707 |
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| 31 | 03-Jan-99 | H | Celtic | D | 2-2 | (1-1) | 50,059 |
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| 32 | 27-Jan-99 | A | Dundee | W | 4-0 | (3-0) | 9,453 |
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| 33 | 30-Jan-99 | A | Aberdeen | W | 4-2 | (2-1) | 19,507 |
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| 34 | 07-Feb-99 | A | Dunfermline Athletic | W | 3-0 | (0-0) | 11,500 |
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| 35 | 20-Feb-99 | H | Dundee | W | 6-1 | (2-1) | 49,462 |
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| 36 | 28-Feb-99 | A | Kilmarnock | W | 5-0 | (1-0) | 16,242 |
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| 37 | 13-Mar-99 | H | Motherwell | W | 2-1 | (1-0) | 49,483 |
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| 38 | 20-Mar-99 | H | Dundee United | L | 0-1 | (0-1) | 49,164 |
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| 39 | 04-Apr-99 | A | St Johnstone | L | 1-3 | (0-1) | 9,740 |
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| 40 | 14-Apr-99 | H | Dunfermline Athletic | W | 1-0 | (1-0) | 46,220 |
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| 41 | 18-Apr-99 | A | Dundee | D | 1-1 | (0-1) | 11,070 |
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| 42 | 25-Apr-99 | H | Aberdeen | W | 3-1 | (1-1) | 49,145 |
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| 43 | 02-May-99 | A | Celtic | W | 3-0 | (2-0) | 59,918 |
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| 44 | 09-May-99 | H | Heart of Midlothian | D | 0-0 | (0-0) | 49,995 |
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| 45 | 15-May-99 | A | Motherwell | W | 5-1 | (2-0) | 11,078 |
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| 46 | 23-May-99 | H | Kilmarnock | D | 1-1 | (1-1) | 48,835 |
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| Scottish FA Cup |
| Round | Date | Ven | Opponent | Result | HT | Attend |
| 3 | 23-Jan-99 | H | Stenhousemuir | W | 2-0 | (2-0) | 37,759 |
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| 4 | 14-Feb-99 | A | Hamilton Academical | W | 6-0 | (2-0) | 7,339 |
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| QF | 07-Mar-99 | H | Falkirk | W | 2-1 | (0-0) | 39,250 |
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| SF | 11-Apr-99 | A | St Johnstone | W | 4-0 | (2-0) | 20,664 |
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| F | 29-May-99 | N | Celtic | W | 1-0 | (0-0) | 52,670 |
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| Scottish League Cup |
| Round | Date | Ven | Opponent | Result | HT | Attend |
| 3 | 18-Aug-98 | H | Alloa Athletic | W | 4-0 | (2-0) | 42,368 |
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| QF | 08-Sep-98 | A | Ayr United | W | 2-0 | (1-0) | 11,198 |
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| SF | 25-Oct-98 | N | Airdrieonians | W | 5-0 | (2-0) | 12,027 |
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| F | 29-Nov-98 | N | St Johnstone | W | 2-1 | (2-1) | 45,533 |
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Home and away results against each team, listed in the current league table standings
| Home | Team | Away | Pts |
| | Rangers | |
| D 0-0 | D 2-2 | Celtic | L 1-5 | W 3-0 | 5 |
| W 4-0 | W 1-0 | St Johnstone | W 7-0 | L 1-3 | 9 |
| W 1-0 | D 1-1 | Kilmarnock | W 3-1 | W 5-0 | 10 |
| W 1-0 | W 6-1 | Dundee | W 4-0 | D 1-1 | 10 |
| W 3-0 | D 0-0 | Heart of Midlothian | L 1-2 | W 3-2 | 7 |
| W 2-1 | W 2-1 | Motherwell | L 0-1 | W 5-1 | 9 |
| W 2-1 | W 3-1 | Aberdeen | D 1-1 | W 4-2 | 10 |
| W 2-1 | L 0-1 | Dundee United | D 0-0 | W 2-1 | 7 |
| D 1-1 | W 1-0 | Dunfermline Athletic | W 2-0 | W 3-0 | 10 |
| Leading Scorers |
League Cup |
| Wallace | | 27 | |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
| Albertz | | 19 | |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
| Johansson | | 17 | |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
| Amato | | 9 | |  |  |  |  |  |  |  |  |  |
| Kanchelskis | | 9 | |  |  |  |  |  |  |  |  |  |
| Van Bronckhorst | | 9 | |  |  |  |  |  |  |  |  |  |
| McCann | | 8 | |  |  |  |  |  |  |  |  |
| Guivarc'h | | 7 | |  |  |  |  |  |  |  |
| Miller | | 4 | |  |  |  |  |
| Amoruso | | 3 | |  |  |  |
| Porrini | | 3 | |  |  |  |
| Vidmar | | 2 | |  |  |
| B. Ferguson | | 1 | |  |
| Durie | | 1 | |  |
| Ferguson | | 1 | |  |
| Gattuso | | 1 | |  |
| I. Ferguson | | 1 | |  |
| Moore | | 1 | |  |
| Van Bronckhurst | | 1 | |  |
| Wilson | | 1 | |  |
Score distributions by match - goals scored by row, and goals conceded by column. Each box shows the number of this season's matches with the resulting scoreline.
| League | Cup |
 | 0 | 1 | 2 | 3 |
| 0 | 1 |
| 1 | | 3 | | 1 |
| 2 | 2 | 1 |
| 3 |
| 4 | | | 1 |
| 5 | | | | 1 |
|
 | 0 | 1 | 2 | 3 | 4 | 5 |
| 0 | 3 | 2 |
| 1 | 4 | 4 | 1 | 1 | | 1 |
| 2 | 1 | 5 | 1 |
| 3 | 3 | 2 | 1 |
| 4 | 2 | | 1 |
| 5 | 1 | 1 |
| 6 | | 1 |
| 7 | 1 |
|
 | 0 | 1 |
| 0 |
| 1 | 1 |
| 2 | 2 | 2 |
| 3 |
| 4 | 2 |
| 5 | 1 |
| 6 | 1 |
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When the goals have been scored and conceded this season
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