Teams Alex Baum played for
| Under-19 ODI | Scotland Under-19s (2013/14) |
| Leicestershire Premier League | Loughborough Town (2015) |
| North East Premier League | Durham Academy (2010) |
| Southern Cricket League | South Wilts Second XI (2017) |
| Under-17 County Championship | Scotland Under-17s (2010-2011) |
| Scotland Inter-Regional Cup | Eastern Knights (2016) |
| Scotland Inter-Regional Twenty20 | Eastern Knights (2016) |
| Cricket Scotland League | Greenock (2008-2013) |
| Grange (2016) | |
| Scottish Cup | Greenock (2008-2013) |
| Grange (2016) | |
| Western District Cricket Union | Western Regional Academy (2011) |
| Western Warriors Under-18s (2012) | |
| Under-19 World Cup | Scotland Under-19s (2013/14) |
| Miscellaneous | Scotland Under-12s (2006) |
| Scotland Under-13s (2007) | |
| Scotland Under-15s (2009) | |
| Greenock (2009-2010) | |
| Scotland Under-17s (2010-2011) | |
| Western Regional Academy (2011) | |
| Scotland Under-18s (2011-2012) | |
| Durham Academy (2011) | |
| Scotland Under-19s (2011/12-2013/14) | |
| Scotland Development XI (2012-2013) | |
| Scottish Students (2012-2013) | |
| Marylebone Cricket Club (2013-2021) | |
| Reivers (2013) | |
| Scottish Universities (2014-2016) | |
| Loughborough Town (2015) | |
| Grange (2016) | |
| South Wilts (2017) | |
| Marylebone Cricket Club Scotland (2017) |
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