Games Played on Wed 01 May 1940 |
| <-- 30 04 1940 | 1939-40 | 03 05 1940 --> |
| Games played '*' after date indicates 'nominal date' |
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|---|---|---|---|---|---|---|---|---|
| Date | Comp | Rd | Home | Score | Away | Notes | Venue | Crowd |
| Wed May 1 1940 | Eastern Division | Raith Rovers | 1-3 | Alloa Athletic | ||||
| Wed May 1 1940 | Western Division | Partick Thistle | 2-0 | Ayr United | ||||
| Wed May 1 1940 | Western Division | Third Lanark | 1-1 | Motherwell | ||||
| 