Search results

The Mathematics exam is now officially available at https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2019/mathematics-2019-hsc-exam-pack

Standard 1 and Standard 2 exams are officially available at https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2019/mathematics-standard-2019-hsc-exam-pack

Official version of the exam is available now at https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2019/mathematics-extension-2-2019-hsc-exam-pack

Terry Lee's solutions: http://advancedmathematics.com.au/Resources/2019%20Ext2.pdf

Here are solutions jointly by fun_jirachi and ruiace:

Solutions jointly by fun_jirachi and ruiace attached

There are still some left on the"new thsc" website (zaxu version, not github): https://thsc.zaxu.tk/Year%2012/Trial/Science%20-%20New%20Syllabus%20%28post%202018%29/Chemistry/ There were a lot more there before Oct 10, but some got deleted due to copyright.

I wonder if we need to make a subforum name change soon for this subforum. Next year, year 11 will be doing "Standard" instead of "General", but at the same time, year 12 will be doing "General". So maybe next year the subforum should be renamed "General + Standard Mathematics" and the...

Re: HSC 2016 4U Marathon - Advanced Level 2002 HSC Ext. 2 Q8a+solution by mojako attached. The question has four parts. But the question can be extended with four more parts to prove \textstyle\frac{1}{1^{2}}+\frac{1}{2^{2}}+\frac{1}{3^{2}}+\dots=\frac{\pi^2}{6} as follows. \bf{Extension\...

Re: HSC 2016 Complex Numbers Marathon

Re: HSC 2016 Complex Numbers Marathon Better still, prove that x>\textstyle\sqrt{y^2+1}\Rightarrow\tan^{-1}(x-y)+\tan^{-1}(x+y)+\tan^{-1}\frac{2x}{x^2-y^2-1}=\pi and hence if x=2 and y=1 then \tan^{-1}1+\tan^{-1}2+\tan^{-1}3=\pi

10 more extension 1 papers have been added now to http://users.tpg.com.au/nanahcub/otherpapers.html

Re: free mx1 trial HSC's, come and get them nevermind. they are now all on http://users.tpg.com.au/nanahcub/otherpapers.html extension 2 ones are also at http://4unitmaths.com/exams.html and http://www.angelfire.com/ab7/fourunit

Re: HSC 2013 4U Marathon i don't think it is fishy you can check it on the calculator for example f2=3.317...>σ2=3.

Re: HSC 2013 4U Marathon \text{Suppose that for a positive integer, }n,\ \textstyle h_n={1\over1}+{1\over2}+\cdots+{1\over n}, f_n=h_n+e^{h_n}\ln h_n\text{ and } \sigma_n=\text{sum of positive divisors of }n. \text{Show that if }n>1\text{ then }f_n>\sigma_n.

Re: HSC 2013 4U Marathon Furthermore, in 2002 Bill Pender declared that the basel problem is beyond the 4 unit syllabus: http://members.optusnet.com.au/limkw/SGS_harder3U_2002.zip (see annotation in the middle of page 8) But the extension of the 2002 question shows that it isn't. Also see...

Re: HSC 2013 4U Marathon Well the 2002 HSC question 8a can be extended to solve the basel problem: I also have a solution to seanieg89's imo question (1988 IMO Q4 actually):

Solutions are now available at http://amc.maa.org/a-activities/a7-problems/putnam/-pdf/2011s.pdf

Actually the maa website seems to be dragging its heals this year for the putnam. So I've put the 2011 paper here: http://www.angelfire.com/ab7/fourunit/putnam2011.pdf

The 2011 putnam competition will occur this weekend. It has been going since 1938. For 1938-2000, the ebooks are available on the net to download for: The William Lowell Putnam Mathematical Competition. Problems and solutions: 1938-1964, by Gleason, Greenwood and Kelly; The William...