Fairly high, maybe 95 or 96.
Mathematics Extension 2 - 2016 Post-HSC Exam Thoughts (2 Viewers)
- Thread starter InteGrand
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looking at rawmarks.info, it tends to be around 70.
honestly i felt the same about it... i added up my potential marks and got around 40% raw. plus to make it worse my exam room was in the middle of a hallway of classrooms where people wouldnt be quiet despite all the 'hsc exams - please be quiet' signs and this yr 8 barged into my room during my exam. i don't understand why they didnt put me in the hall with the 2u people tbh.
i thought this paper was much harder than the couple past one's for me. also my teacher couldnt even teach me properly, i'd ask her a question and she'll go off on a tangent about something completely unrelated and for my internal exams i averaged an 85% which means the exams she set were too easy. i honestly did 4u to avoid 2u but now i realise it wasn't such a good idea. It also sucks that i was the only one in my school who did it, meaning what i get is what i get.
marxman
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I found it more challenging than recent years from 2013 onward. However I did not find it nearly as enjoyable as previous years where the exam was much more difficult either, all the results tended to be either redundant - 12 b (i for example, which redundantly made the question a 3-unit integration with hints, or just lazily set question such as Q14b) which would have been quite straightforward as a recurrence formula, yet, was made more challenging by increasing the level of tediousness.
The only real question i struggled with was 16a), which perhaps in my solution the working was slightly ambiguous. Unlike past years, there was no real level of logic required for anything apart from the first two parts of the derrangements question and perhaps the circle geometry question which could have been split into several parts. And even then, 16c) awarded essentially 3 free marks to anyone attempting the last 3 parts, as simple algebraic manipulation and a 3-unit level induction.
Overall whilst I am happy I believe I can get a high band 6 mark judging from online solutions, the inner maths nerd in me says this was a dry paper that really lacked anything interesting within it that left me slightly disappointed overall.
The only real question i struggled with was 16a), which perhaps in my solution the working was slightly ambiguous. Unlike past years, there was no real level of logic required for anything apart from the first two parts of the derrangements question and perhaps the circle geometry question which could have been split into several parts. And even then, 16c) awarded essentially 3 free marks to anyone attempting the last 3 parts, as simple algebraic manipulation and a 3-unit level induction.
Overall whilst I am happy I believe I can get a high band 6 mark judging from online solutions, the inner maths nerd in me says this was a dry paper that really lacked anything interesting within it that left me slightly disappointed overall.
Same
For the inequalities question, I just showed this, how many marks would it get? It doesn't prove for 0<x<1, only for x≥1. Maybe 1/3 or 2/3? :/
x^2≥1
x^2(x-1)≥(x-1)
x^3-x^2≥x-1
add 2x√x to both sides
x^3-x^2+2x√x ≥ x-1+2x√x
x^3+1+2√x ≥ x^2 +x + 2x√x
(x√x +1)^2 ≥ (x+√x)^2
x√x+1 ≥ x+√x
x^2≥1
x^2(x-1)≥(x-1)
x^3-x^2≥x-1
add 2x√x to both sides
x^3-x^2+2x√x ≥ x-1+2x√x
x^3+1+2√x ≥ x^2 +x + 2x√x
(x√x +1)^2 ≥ (x+√x)^2
x√x+1 ≥ x+√x
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Ohhh....that makes so much sense now, thanks!You'll probably get 1-2 marks (I think 1 because 2 seems too much, but not sure.)
. Multiplying through by $x^{\frac{3}{2}}$ finishes the proof. $)
I initiated my working like this:
Consider x≥1 (as we are given x≥0)
(followed by the working I showed you above)
It's rather badly worded, as it seems like I'm getting the fact x≥1 as we are given x≥0 which virtually makes no sense......But I hope they overlook that somehow. Or perhaps interpret the statement as "This guy is proving true for x≥1 because at least he knows x≥0." But I think I ended my proof stating that it's also true for x≥0, as that's what the question demanded - and I deemed it to be because x≥0 is the domain of √x.
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Basically your best hope is to hope the markers assumed you were trying to prove it only for x >= 1 and that they'll give some marks for that (because that's what you actually did, mathematically speaking.).
Well I hope they give me benefit of the doubt. I hope it's not naive to consider that 1 mark is already guaranteed - and that this is a dilemma between 1 or 2 marks.
I'm not sure but that might depend on whether you tried to claim you'd proved it for all x ≥ 0 (that's why I asked if you'd made it clear you weren't).
Flatchakra
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What do you guys think is the lowest raw mark or hsc mark required for a state rank?
Perhaps 95 or 96 raw.