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Spots still available for both Year 12 Extension 1 & 2, with classes running on Saturday and Sunday. We have been assisting students with their Extension 1 & 2 queries outside of class, in preparation for their first assessment task :)

It is because the question is looking for -pi/2 <= arg(z - 1 - i) <= pi, the bit that isn't shaded in your diagram represents -pi <= arg(z - 1 - i) <= -pi/2

Sorry I'm not sure if I'm following - what do you mean by this?

Yes! even though these questions are not extremely common, they do appear once in a while - you should definitely prepare for them! After doing enough of these questions, you'll be able to see all the different techniques that can be used. There aren't tooo many techniques, you'll learn them all...

The reason why the Cambridge solution & the Fort St solution is a bit different is because: - In the Cambridge question, part (b) shifts both the argument and the circle by 2 units to the left, i.e. |z-2|=1 becomes |z|=1, and arg(z) becomes arg(z+2). As a result, the diagram would look exactly...

The answer is correct here, the angle is = (big angle on diagram) - (small angle on diagram), the big angle on the diagram is pi/3, the small angle on the diagram is pi I take this back, you are correct - the angle is indeed a negative angle, and it should be -[(big angle on diagram) - (small...

The idea behind your region shading is correct! Just be careful with how you position the lines for the arg locus & the circle for the modulus locus - hint: the arg locus stems from the point (1,1), does this point (1,1) lie inside the circle, or does it lie on the circle?

Bump!

I would still spend time on it - I don't think inequalities is a small part of the syllabus. Inequalities appears in Mathematical Induction & as standalone Inequalities proof questions, and can also appear in parts of questions from other topics.

Intuition comes from: Understanding all of the tricks and techniques Being able to identify which trick & technique to use for a particular question I would be practicing with an assortment of simple inequalities questions, and begin identifying what trick/technique you're using for each...

It is definitely possible. When I sat my HSC, my school was ranked ~150, and I received an ATAR of 98.70. There were 3 other people who got a higher ATAR than me (all 99.00+), and 2 or 3 other people (I don't completely remember, this was a long time ago!) that received 98.00+. It is important...

This question in particular does appear a few times in past HSC/trial exam papers. I would definitely recommend that you attempt & practice these questions! Reason being: there are many other Extension 2 questions of similar difficulty (if not, even more difficult). Was there a particular step...

I would say that 14a(i) and 14a(ii) are standard questions (in the sense that they have appeared in many past Extension 1 exams). You should have learnt the theory for these questions previously, they are binomial expansions, under the topic of Combinatorics. I would recommend that you go back...

Good luck to everyone sitting the Maths BoS trials !! I remember sitting this back in 2017 & got absolutely cooked, but was still a great experience overall :)

What is your school's rank?

Can vouch for Jathu!! We studied for the HSC together, and he was amazing at explaining tricky Maths, Physics and Chemistry concepts - 100% recommend him as a tutor :)

Hi everyone! I’m Vincent Tran, and I completed my HSC in 2017 with an ATAR of 98.70. I achieved a 3U Maths mark of 99/100 and a 4U Maths mark of 98/100. During my senior years in 2016 and 2017, I visited BOS almost daily. It’s great to see the community still thriving! After nearly seven years...

So 98 is my aligned mark, and as Drdusk said, my raw mark would be around 95%, I'm not sure what my exact raw mark is though

Standard doesn't affect your atar too much, I got: Standard English - 87 Maths 3u - 99 Maths 4u - 98 Chemistry - 89 Physics - 91 and I ended up with an atar of 98.70. Getting a 90+ atar with standard english is pretty much as doable as getting a 90+ atar with advanced english

Prairiewood is in the area as well, and their rankings are not too bad