Hello there
first off - welcome, and good luck!
second - I would strongly advise NOT applying, and insist you go toward another trade. For the past few years I have seen apprentices come out of their 4 years to either end up without a job, or, in a part time gig working min/max 15.2/30.4 hrs a week @ 28.37 an hour. There is zero career progression. Generally, an unlicensed engineer would want to progress to licensed engineer... however there is no chance of that at the airline in the current climate, as has been the case for at least 5 years, maybe longer. Other potential outfits where (very slim) possibility to become licensed would be Jetstar or Virgin, domestically. You will have a tough time trying to go international without significant retraining, but it isn’t impossible. The skills you learn are not instantly recognised outside of airlines and take significant effort (time + money) to describe your function should you decide to retrain.
third - I recommend you google those things and find online practice tests, not just for Qantas, but all other professional and big employers aswell. Companies seldom run their own testing these days and are now reliant on 3rd party providers to do their testing. I often practice psychometric testing including verbal/numeric/inductive reasoning, just to maintain the skills.
Basically, you will be shown a bunch a shapes/objects and try to pick out a pattern. You’ll also be given a handful of answers from which you have to select the one that best matches the next/missing sequence. Further examples would be - you will be given a passage of text; a question/statement would be posed relating to the text, which you must determine to be true, false or not able to tell from what is written. You will be time constrained, and given a variable amount of questions.
A very brief example (the text passages are usually 150-odd words, worth) -
passage - a boy lives on a farm and delivers milk everyday to his 3 neighbours on a bike every morning for $3 a container.
question - the boy enjoys delivering milk to 2 of the 3 neighbours, but thinks the 3rd neighbour is grumpy.
answer options - true/false/cannot tell from information provided
correct answer here is, cannot tell... obviously.
The personality tests basically ask you silly questions like, I prefer to pick my nose at traffic lights in the car on sundays (joking) - strongly disagree, mostly disagree, neutral, mostly agree, strongly agree. Sometimes they’ll ask you the question over and over to see how differently you answer them and get a better picture of your answer.
hope that helps.