Green’s Dictionary of Slang

chuck a sixer v.

also throw a sixer
[chuck v.2 (10) + fig. use of Aus. rules sixer, a scoring kick]

1. (Aus.) to become hysterical, to lose one’s temper (cf. chuck a seven v.).

[Aus]D. Stivens Jimmy Brockett 154: I thought he was going to throw a sixer. [Ibid.] 272: I nearly chucked a sixer and didn’t take it at first.
[Aus]N. Pulliam I Travelled a Lonely Land (1957) 231/2: chuck a sixer – go off the deep end.

2. (Aus., also throw sixers) to vomit.

[UK]Partridge DSUE (8th edn) 1226/2: throw sixers to vomit heartily. Aus. C20.