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  • I'd say if you were really keen on getting involved with olympiad maths, the three things that might help would be to look up a book called "The Mathematics Toolchest" that the Australian Maths Trust sells, any of the past Australian Maths Olympiad papers you could find, and any past junior Tournament of Towns papers that are around. To be honest though, olympiad maths can be quite a difficult thing to get into on your own - for me for example until I actually ended up at a training camp where I had incredibly gifted people around me teaching me stuff for 10 days straight, I really didn't know anything worth writing home about - so I can't in good conscience claim there's a sure fire way to just read books and become amazing, because that sort of thing just won't work for everyone. If you want to message me though about your personal situation and ask any more questions, I'd be more than happy to try and help.
    (I have to respond in two parts - my first message was too long) Sorry I didn't respond to this for so long - I only just noticed your message - but as to your question, the resources that would best help you get better at problem solving really depend on your age and experience. For example, the most junior student I currently teach is only ten years old, and while he's fantastically talented for someone of that age - I really can't give him anything particularly intensive because he still has to develop a body of knowledge that he'll go on to use later to solve harder stuff, so I teach him with material from 3 unit maths and very simple problem solving sheets. On the other hand, the most experienced kid I teach is already a very strong junior in the Australian Maths Olympiad program, so for him I set IMO style problems I get both from my own collection and a website called "Art of Problem Solving". Assuming though that you're somewhere in the range 8-10 in terms of school year -
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