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Re: Ext 2 Past Papers + Answers It'd be good if you could also upload your papers if it's not online already. If you don't have your own website, you can use an upload feature of the boredofstudies.org website to get it online here at http://www.boredofstudies.org/upload/ Have fun!

One of my colleagues at Taylors College, George Fisher, has co-written such a book called Fisher, G. and Rowland-Jones, O., HSC Maths Extension 2 Practice Questions by Topic, Phoenix Education, 2003.

Don't praise that lord too loudly. If the only primes I knew about were 2, 3, 5, 7, 11, 13, I could make an equation 2x3x5x7x11x13+1=59x509

I suspect your calculator can only handle about 100 digits, not 12,978,189. Perhaps you could try a computer instead.

It's in the SMH now: http://www.smh.com.au/news/technology/13-milliondigit-prime-number-discovered/2008/09/29/1222650973074.html

I was a bit perplexed by this when they said it. The usual thing in exams with reading time is that no writing is allowed during this time. It'll be hard for supervisors to manage if they allow writing during reading time.

I'm at the MANSW conference and the Board of Studies have just done a presentation for the 600 teachers at the conference. The Board have read Bill Pender's submission and at first decided to not act on his advise to delay the release of the final syllabus. However, The Minister has told them...

A new Mersenne prime, 2^43,112,609-1 has been found on August 23, 2008 on Edson Smith's computer and is the largest known prime to date and has 12,978,189 digits 316,470,269,...,511 which you can download at http://prime.isthe.com/no.index/chongo/merdigit/long-m43112609/prime-c.html...

MANSW's submissions for the draft syllabuses: http://www.mansw.nsw.edu.au/members/stage-6-review/MANSW-Advanced-Ext-1-Ext-2-response.pdf http://www.mansw.nsw.edu.au/members/stage-6-review/MANSW-General-1-2-response.pdf

Here are some submissions: http://community.boredofstudies.org/attachment.php?attachmentid=16657 http://www.angelfire.com/ab7/fourunit/submission3.pdf http://news.ieu.asn.au/bos_stg6maths_ieuresp.doc http://www.mansw.nsw.edu.au/members/stage-6-review/MANSW-Advanced-Ext-1-Ext-2-response.pdf

All this nonsense of the Board of Studies telling teachers thou must not teach such-and-such before Year 11 is rubbish. The BOS rules stipulate the HSC cannot be completed over more than 5 years or less than 2 years. Therefore some Year 9 students can (and have done) Extension 2 Mathematics, for...

I don't know if you can say I'm good at AMC. I only did one question! But it'd be good to put up solutions here to the others. You might also like to look at mathlinks.ro for other competition level questions.

Yep. You are right. Cosine rule method works. Here it is:

Ta. I've attached a solution to Q30. Perhaps others may wish to add to this thread with complete solutions to all the other questions + alternative methods. e.g., I know of at least 4 other ways to solve Q30.

Links: 1959-2003: http://web.archive.org/web/20040401135340/www.kalva.demon.co.uk/imo.html 2004: http://sms.math.nus.edu.sg/Simo/IMO_Problems/04.pdf 2005: http://www.georgmohr.dk/imo/imo05sol.pdf 2006: http://olympiads.win.tue.nl/imo/imo2006/solutions.pdf 2007: <a...

Your Q1-7 are respectively Q20, 21, 24, 25, 26, 28, 30 in the 2007 Int. AMC. Answers are: 20. C 21. D 24. B 25. D 26. 503 28. 11 30. 898 Here are the official solutions for these questions:

The process for selecting the Australian team is described in more detail at http://www.amt.edu.au/amocprog.html Note that the selection processes are different for different countries. These other selection processes are described at...

Here is the article about it in today's Sydney Morning Herald: http://www.geocities.com/threeunitnotes/smh25.7.2008.jpg

Results for Australia (/42): Andrew Elvey Price 29 SILVER Giles Gardam 25 SILVER Paul Cheung 25 SILVER Max Menzies 24 SILVER Irene Lo 22 SILVER Sampson Wong 15 BRONZE Total: 140/252 Rank: 19/97 China came first (again! - surprise, surprise) - with 217 points - alas with 5 gold, 1 silver...

Here are a couple of youtubes more specifically on Terry Tao if you are interested: http://www.youtube.com/watch?v=p6ZUeQv2yFQ http://www.youtube.com/watch?v=zO7m7LS8dyg