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i did the 2024 senior q30

there is a bit of controversy about 13b now. here solution: controversy stems from comments in textbooks the cambridge and steve howard books say something to the effect that \dot x^2=n^2(a^2-(x-c)^2)\text{ needs to be derived each time} so u notice in above solution the derivation not...

it also a question of equity. rich kids with all the wiz-bang expensive technology getting answer in a millisecond thereby giving time-advantage to the rich kids, and poorer kids with cheaper calculator that don't do complex number have to do it longer way, losing valuable time in exam.

so that just leaves for ext. 2 the or otherwise method for the 11eii an obvious way would be binomial expansion method u dunno the marking criteria during exam, but u do know it 2 mark they say "obtains correct number in modulus-argument form, or equivalent merit" for 1 mark not clear here...

here is or otherwise method for 12cii

there has been the accusation that the am-qm inequality is oos but consider the following totally non-oos derivation \begin{aligned}(a-b)^2&\ge0\\a^2-2ab+b^2&\ge0\\2a^2+2b^2&\ge a^2+2ab+b^2\\\textstyle\frac{a^2+b^2}{2}&\ge\textstyle\left(\frac{a+b}{2}\right)^2\\...

mg is out: https://educationstandards.nsw.edu.au/wps/wcm/connect/9fe8c5c2-161a-4f91-baf6-5c59c862fdcf/2024-hsc-maths-ext-1-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-9fe8c5c2-161a-4f91-baf6-5c59c862fdcf-pcZ41mf

here solution to q10 utilising am-qm inequality it can be done using calculus too but the am-qm inequality more efficient most people heard of the am-gm inequality, but the am-qm often helps if u want the inequality to go "the other way"

and here is the list of all the or otherwises in this years maths exams advanced - once in Q30 ext. 1 - once in Q13bii ext. 2 - 4 times in Q11eii, Q12cii, Q13aii and Q15aiii

now i bet you think this generalisation of triangle inequality has nothing whatsoever to do with this exam right? however ............. 15aiii said or otherwise and so here is the "or otherwise" method using generalised triangle inequality!

yeah very gradually there has been an attempt to fill the significant gaps in the solutions at https://www.masteringhscmathematics.com.au/solutions for 4u but there is a new drive that consolidates these efforts, and although still not complete, there's a lot more there. hopefully will be...

cognito solutions: https://www.cognitotuition.com/blog/2024-hsc-3u-mathematics-extension-1-exam-paper-exemplar-answers-solutions pdf version attached. note they don't do the reasoning for mc

here cognito solutions: https://www.cognitotuition.com/blog/2024-hsc-4u-mathematics-extension-2-exam-paper-exemplar-answers-solutions pdf version attached. they somewat more detailed than nesa's but don't do reasoning for mc

mg is up: https://educationstandards.nsw.edu.au/wps/wcm/connect/ccd3eec6-76ac-464f-b0d2-ecf60de040b0/2024-hsc-maths-ext-2-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-ccd3eec6-76ac-464f-b0d2-ecf60de040b0-pcJJGdt

in the vce they put up sample exam covers on their website prior to the exams, but this year some of them contained hidden content very similar to the actual questions in their exams. some students were able to extract this content prior to the exam and whether or not this gave them a real...

watching gladiator ii now

std 2 mg is out now: https://educationstandards.nsw.edu.au/wps/wcm/connect/a22e40c7-b56c-4ab6-bd5d-199ab95200bb/2024-hsc-maths-std-2-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-a22e40c7-b56c-4ab6-bd5d-199ab95200bb-pcuHx69

official paper is up: https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2024/physics-2024-hsc-exam-pack albeit redacted, so my unredacted version in post #293 is better

this one

i made a slightly easier one good?