The 20-year-old scored one goal in 21 appearances for the Gers last season.
Murdoch made his debut for the Glasgow club in 2012 following a spell in their youth academy.
The youngster has played a total of 23 times for Rangers.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Celtic | 20 | 17 | 2 | 1 | 55 | 7 | 48 | 53 |
| 2 | RangersRangers | 20 | 12 | 4 | 4 | 37 | 16 | 21 | 40 |
| 3 | Dundee UnitedDundee Utd | 21 | 9 | 7 | 5 | 30 | 22 | 8 | 34 |
| 4 | Aberdeen | 21 | 10 | 4 | 7 | 32 | 30 | 2 | 34 |
| 5 | Motherwell | 21 | 9 | 3 | 9 | 27 | 34 | -7 | 30 |
| 6 | St Mirren | 22 | 8 | 3 | 11 | 27 | 37 | -10 | 27 |
| 7 | Hibernian | 22 | 6 | 8 | 8 | 31 | 35 | -4 | 26 |
| 8 | Dundee | 21 | 7 | 4 | 10 | 33 | 37 | -4 | 25 |
| 9 | Ross County | 22 | 6 | 7 | 9 | 22 | 38 | -16 | 25 |
| 10 | Kilmarnock | 22 | 6 | 6 | 10 | 25 | 37 | -12 | 24 |
| 11 | Hearts | 22 | 6 | 5 | 11 | 25 | 31 | -6 | 23 |
| 12 | St Johnstone | 22 | 4 | 3 | 15 | 24 | 44 | -20 | 15 |
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