 Pari gbolohun ti o tẹle: Exum dun fun ẹgbẹ agbabọọlu orilẹ-ede ọdọ ti Australia ni 2012 FIBA Under-17 World Cup, nibi ti a ti darukọ rẹ si Ẹgbẹ Gbogbo-ije, bakanna bi 2013 FIBA Under-19 World Cup, nibi ti a tun darukọ rẹ si Ẹgbẹ Gbogbo-ije. Ọdun 2013 tun ṣe ami ifihan akọkọ Exum fun ẹgbẹ agbalagba orilẹ-ede, ti o dun lodi si New Zealand ni 2013 FIBA Oceania Championship. Ní ọdún 2014, ó ṣeré fún Australia ní : 2014 FIBA World Cup, nibi ti o ti ṣe apapọ awọn aaye 2.7, awọn rebounds 1.5 ati awọn iranlọwọ 2.0 ni awọn ere mẹfa. 