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    Past HSC Paper Solutions

    The 1999 and 2000 ones are on the resources section. Don't know about the 1998 though. They seem to be working so I don't know what your problem is. Anyway, I've attached them here.
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    MX2 Past Papers & Answers

    Re: Ext 2 Past Papers + Answers Only some of the papers on the net come with solutions. Most don't. I've done it deliberately that way and would like to keep it that way. Lets suppose all the solutions to every paper were on the net. Then students would be training themselves with hundred of...
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    MX2 Past Papers & Answers

    Re: Ext 2 Past Papers + Answers Those are already online.
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    Syllabus development

    I have sent in <a href="http://users.tpg.com.au/nanahcub/submission5.pdf">my submission</a> for the <a href="http://www.acara.edu.au/verve/_resources/ACARA_Senior_Secondary_Years_Curriculum_Position_Paper_v06.pdf">National Curriculum in the Senior Secondary Years Position Paper</a> today.
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    Numb3rs

    Season 6 has just started in the US.
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    MX2 Past Papers & Answers

    Re: Ext 2 Past Papers + Answers OK. Here they are:
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    MX2 Past Papers & Answers

    Re: Ext 2 Past Papers + Answers Thanks to jm01 for the Cranbrook. I've attached it.
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    MX2 Past Papers & Answers

    Re: Ext 2 Past Papers + Answers OK jm01. I've attached the solutions to the SGS one. Now you can upload the Cranbrook paper.
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    Syllabus development

    chingyloke was referring to conics in another thread, but this comment can be generalised. How about the detail? In a national curriculum, detail will be gone. ACARA are just a political bureaucracy. Their curriculum documents will be a vacuum full of empty platitudes. Teachers will...
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    Syllabus development

    And of course there is nothing new in ACARA's <a href="http://www.acara.edu.au/verve/_resources/ACARA_Senior_Secondary_Years_Curriculum_Position_Paper_v06.pdf">Senior Secondary Years Curriculum Position Paper</a> released on August 20, 2009 (except for the call for submissions, due September...
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    Imo 2009

    Sampson Wong was in the SMH today: (The support family... maths gold medallist Sampson Wong, 16, with his parents, Cecilia and Jimmy, and his older sister Samantha. Photo: Domino Postiglione) All that effort adds up to a gold medal Heath Gilmore The Sydney Morning Herald, August 24, 2009...
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    Answers to 2009 AMC

    Correct answer to Int. Q30 is 174 (same as Sen. Q29) not 180. Thanks PC for reuploading corrected version. I made a pdf of the solution provided by 3unitz:
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    Imo 2009

    Here are Sampson and Andrew with their Golds.
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    Imo 2009

    Here is Terry Tao's lecture he gave at the IMO: http://terrytao.files.wordpress.com/2009/07/primes.pdf
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    Imo 2009

    Questions 4-6: Question 4. $ Let $ABC$ be a triangle with $AB = AC$ . The angle bisectors of $\angle C AB$ and $\angle AB C$ meet the sides $B C$ and $C A$ at $D$ and $E$ , respectively. Let $K$ be the incentre of triangle $ADC$. Suppose that $\angle B E K = 45^\circ$ . Find all possible...
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    Imo 2009

    Ta. Yeah. / not \ I also made a pdf. I'll put Q4-6 up later today.
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    Imo 2009

    Here are Questions 1-3. Question 1. $ Let $n$ be a positive integer and let $a_1,a_2,a_3,\ldots,a_k$ $\left( k\ge 2\right)$ be distinct integers in the set $\left\{ 1,2,\ldots,n\right\}$ such that $n$ divides $a_i(a_{i + 1} - 1)$ for $i = 1,2,\ldots,k - 1$. Prove that $n$ does not divide...
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    Syllabus development

    An elementary proof of the probabiity integral is available this month from the American Mathematical Monthly (see attached.) Although 4 unit students can understand it, many from other states won't be able to understand it. ACARA are creating a mess. They are deliberately keeping...
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    Imo 2009

    The International Mathematical Olympiad 2009 was held on July 15-16 at Jacobs University, Bremen, Germany. Website: http://www.imo2009.de Australian Team: Aaron Chong, Doncaster Secondary College Andrew Elvey Price, Brunswick Secondary College Stacey Law, James Ruse Agricultural High School...
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    Third derivative method

    Again, your example y=x<sup>6</sup> is easy by the successive derivative test. f'(0)=f''(0)=f'''(0)=f''''(0)=f'''''(0)=0 but f''''''(0)=720 > 0 hence (0,0) is a local minimum. Nevertheless I think the point you are trying to make is what if it's more complicated, like a quotient? The...
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