I didn't even realise that the Pakkies and Indians were Asian
That is why India/Pakistan/Bangladesh are called the sub-continent. They are at the bottom of the Asian continent. Go to England and when they talk about Asians, they are generally referring to Indians etc which is very different from the expressions common meaning in Australia. Both are technically right.
where do the Maoris fit in?
Maoris are Polynesian. They come from Oceania which is a region not a continent but covers all of the south-west Pacific including NZ.