Page 3 of 14 FirstFirst 1234513 ... LastLast
Results 51 to 75 of 343

Thread: Australian Mathematics Competition

  1. #51
    Drover gurmies's Avatar
    Join Date
    Mar 2008
    HSC
    2009
    Gender
    Male
    Location
    North Bondi
    Posts
    1,241
    Rep Power
    5

    Re: Westpac Maths Comp marathon

    no rule, just a handy factorisation
    Commerce (Finance) / Science (Advanced Mathematics) (Quantitative Risk) @ UNSW

  2. #52
    Executive Member
    Join Date
    Mar 2008
    HSC
    2009
    Gender
    Undisclosed
    Posts
    1,064
    Rep Power
    5

    Re: Westpac Maths Comp marathon

    Quote Originally Posted by kurt.physics View Post
    Problem 5

    The sum of three numbers is 4, the sum of their squares is 10 and the sum of their
    cubes is 22. What is the sum of their fourth powers?
    is the answer to this 50?

    figure out my notation; )

    Last edited by lolokay; 5 Aug 2009 at 1:53 AM.

  3. #53
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: Westpac Maths Comp marathon

    Quote Originally Posted by lolokay View Post
    is the answer to this 50?

    figure out my notation; )

    Yes, you are right =)

    Would you like to post a new question?

  4. #54
    Executive Member
    Join Date
    Mar 2008
    HSC
    2009
    Gender
    Undisclosed
    Posts
    1,064
    Rep Power
    5

    Re: Westpac Maths Comp marathon

    A rectangular prism 77 x 81 x 100 is cut into cubes of edge 1 by
    planes parallel to the faces of the prism. A given internal diagonal
    pierces how many of these cubes?
    (A) 255 (B) 256 (C) 257 (D) 258 (E) 259


    +ty kurt for the link to the papers. I'm gonna do them all eventually. just tried one, made a few silly errors and one question i wasn't sure about
    Last edited by lolokay; 5 Aug 2009 at 9:39 PM.

  5. #55
    Unorthodox top student Dragonmaster262's Avatar
    Join Date
    Jan 2009
    HSC
    2010
    Gender
    Male
    Location
    Planet Earth
    Posts
    1,388
    Rep Power
    5

    Re: Australian Mathematics Competition

    Does the Australian Maths Competition only have stuff from the 4 unit Maths course or does it have any stuff from Uni maths?

  6. #56
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: Australian Mathematics Competition

    Quote Originally Posted by Dragonmaster262 View Post
    Does the Australian Maths Competition only have stuff from the 4 unit Maths course or does it have any stuff from Uni maths?
    The AMC is generally a problem solving exam. You will see that the first 10 questions are rudimentary. The next 5 will be more problem solving, the last 15 will be problem solving although knowledge of both number theory and combinatorics and a solid understanding of geometry and algebra would certainly make the last few questions 5 times easier.

  7. #57
    New Member
    Join Date
    Aug 2009
    HSC
    2011
    Gender
    Female
    Posts
    2
    Rep Power
    4

    Re: Australian Maths Competition

    How about the solution of:
    The number 2008! (factorial 2008) means the product of all the integers 1,2,3,4,...,2007,2008. With how many zeroes does 2008! end?

    Tomorrow's the competition, and I need to know the solution of this wuestions, please? Thanks

  8. #58
    Retired Aerath's Avatar
    Join Date
    May 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    10,200
    Rep Power
    12

    Re: Australian Mathematics Competition

    Yeah, I usually bomb these Maths Comps. Usually a combination of me not giving a damn and I also suck at problem solving. Never ever get HDs, but I usually do ok in school maths, so heh.

  9. #59
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: Australian Maths Competition

    Quote Originally Posted by sharin_3 View Post
    How about the solution of:
    The number 2008! (factorial 2008) means the product of all the integers 1,2,3,4,...,2007,2008. With how many zeroes does 2008! end?

    Tomorrow's the competition, and I need to know the solution of this wuestions, please? Thanks
    The amount of zeros a number ends in is the amount of 10s that are in the prime factorization. Now 10 = 2 x 5. And so when we prime factorize 2008! we need to count the amount of 2s and the amount of 5s.

    Now there is clearly going to be more 2s than 5s, so to determine how many factors of 10 there are in the prime factorization of 2008! we must only find how many 5s are in the prime factorization.

    Now clearly finding the prime factorization of 2008! would be a torturous task, so we will "look" at each term of 2008! ie 1, 2, 3, 4, 5, 6, . . . ,2007, 2008.

    So how many multiples 5s are there between 1 and 2008, well





    As m is an integer then there are 401.

    Now some terms in the prime factorization will have 25 as a factor, and hence that terms will have 2 factors of 5. So we must count how many terms are multiples of 25. Now we already have counted 1 of those factors of 5 (out of those numbers that are multiples of 5^2), and so when we determine how many factors are multiples of 5^2, they will add 1 extra multiple of 5 into our count.





    As n is an integer then there are 80.

    But some of the factors of 2008! will be multiples of 5^3 = 125, so when we count these by the same logic as before they will contribute an extra 1 multiple of 5 into our count, so





    As p is an integer then there are 16.

    But some of the factors of 2008! will be multiples of 5^4 = 625, and so these will add an extra 1 multiple of 5 into our count. So,





    As j is an integer there are 3 of these.

    As 5^5 is greater than 2008, then there are no multiples of 5^5 up to 2008.



    So in total the amount of factors of 5 in 2008! are



    Therefore there are 500 factors of 10 in 2008! and hence 2008! ends in 500 zeros.




    Good luck everyone for the competition today =)
    Last edited by kurt.physics; 6 Aug 2009 at 7:23 AM.


  10. #60
    Member
    Join Date
    Jul 2009
    HSC
    1998
    Gender
    Male
    Posts
    448
    Rep Power
    4

    How did u go in the Australian Maths Competition?

    today (6-8-09) i did my intermediate AMC test.This is just a thread to see which question u were stuck on ...q26-30:@ i need help on dem,, and ye just a general chat on how u went in the AMC test.
    lol u mad son?

  11. #61
    Senior Member shuning's Avatar
    Join Date
    Aug 2008
    HSC
    2009
    Gender
    Male
    Location
    Central Coast - Chatswood all the way :p
    Posts
    659
    Rep Power
    5

    回复: Re: Australian Mathematics Competition

    Quote Originally Posted by Aerath View Post
    Yeah, I usually bomb these Maths Comps. Usually a combination of me not giving a damn and I also suck at problem solving. Never ever get HDs, but I usually do ok in school maths, so heh.
    some guy in my school got HD and does general math.... so yea the comp... doesnt mean anything lol
    Math, Chinese tutor around Hornsby, Chatswood and Central Coast area

    Brand New condition Prelim txt books 4 sale!!


    2009 HSC: English Standard, Math Ext 2, Physics, Economics
    Dropped: Chinese background, SOR1, Advanced English

    Sing to the Motherland, home of the free,
    Bulwark of peoples in brotherhood strong.
    O Party of Lenin, the strength of the people,
    To Communism's triumph lead us on!

    Long Live the Revolution


  12. #62
    Junior Member
    Join Date
    Jul 2009
    HSC
    2009
    Gender
    Female
    Posts
    156
    Rep Power
    4

    Wink How did people go in the maths comp today?

    Arghhh i reckon this year's paper was harder than last years :S. The senior paper is anyway...i guessed like 10 questions.
    Question 27 looked really interesting...but I didn't have time to finish it -_-
    So how did you all go?
    Why does the chicken cross the street?
    Because a chicken in motion stays in motion.

  13. #63
    Member
    Join Date
    Jun 2008
    HSC
    2010
    Gender
    Male
    Posts
    284
    Rep Power
    5

    Re: 回复: Re: Australian Mathematics Competition

    Quote Originally Posted by shuning View Post
    some guy in my school got HD and does general math.... so yea the comp... doesnt mean anything lol
    Thats soo amazing ....but i fail to believe it...:mad1:

  14. #64
    Prophet 9
    Join Date
    Aug 2008
    HSC
    2009
    Gender
    Male
    Location
    Sydney
    Posts
    3,485
    Rep Power
    7

    Re: Australian Mathematics Competition

    HD every year so far but probably wont this year =(
    HSC '09
    B Science (Adv. Mathematics) @ UNSW

    The School of Mathematics Prize for Level 1 Mathematics

  15. #65
    Cadet
    Join Date
    Aug 2009
    HSC
    2009
    Gender
    Male
    Posts
    54
    Rep Power
    4

    Re: Australian Mathematics Competition

    This was the first time I ever competed and oh boy... it was the hardest test I ever took... by far!
    Are these tests usually consistent in difficulty each year? What kinds of raw marks get HD's, D's and credits? I did the senior exam btw.

  16. #66
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: How did u go in the Australian Maths Competition?

    Quote Originally Posted by maths94 View Post
    today (6-8-09) i did my intermediate AMC test.This is just a thread to see which question u were stuck on ...q26-30:@ i need help on dem,, and ye just a general chat on how u went in the AMC test.
    I did the intermediate paper too. I thought the first 20 were easy (except i am a bit apprehensive about 17). Question 21 was stupid! I put (E), what bout yous?

    Questions 22, 23 and 24 were pretty easy and 25 was a bit hard. Question 26 was easy the answer is 419, i didnt have enough time to work on 27, 28. I got 231 for 29 and didnt do 30.

  17. #67
    Bring it on Official's Avatar
    Join Date
    Feb 2009
    HSC
    2011
    Gender
    Male
    Location
    Over the Moon
    Posts
    967
    Rep Power
    4

    Re: How did people go in the maths comp today?

    I had to do the Senior Paper although I'm in yr 10 (accelerant). This is what I think I got:
    1 - 10: 30 marks
    11-20: 24 marks (Really hard for some reason =/)
    21 - 30: 10 + 13 marks

    = 77 marks.

    What does this become around?
    HSC 2010
    Mathematics - 99 || MX1 - 98

    HSC 2011
    Physics - 96 || Chemistry - 95
    MX2 - 96
    Eng Adv - 92

    ATAR: 99.85

  18. #68
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: How did people go in the maths comp today?

    I thought the first 20 were easy (except i am a bit apprehensive about 17). Question 21 was stupid! I put (E), what bout yous?

    Questions 22, 23 and 24 were pretty easy and 25 was a bit hard. Question 26 was easy the answer is 419, i didnt have enough time to work on 27, 28. I got 231 for 29 and didnt do 30.

  19. #69
    Member
    Join Date
    Jul 2009
    HSC
    1998
    Gender
    Male
    Posts
    448
    Rep Power
    4

    Re: How did u go in the Australian Maths Competition?

    Quote Originally Posted by kurt.physics View Post
    I did the intermediate paper too. I thought the first 20 were easy (except i am a bit apprehensive about 17). Question 21 was stupid! I put (E), what bout yous?

    Questions 22, 23 and 24 were pretty easy and 25 was a bit hard. Question 26 was easy the answer is 419, i didnt have enough time to work on 27, 28. I got 231 for 29 and didnt do 30.

    wow 1-20 ye dey were oriite...wat did u get for the magic rabbit ones?
    lol u mad son?

  20. #70
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: How did people go in the maths comp today?

    Quote Originally Posted by Official View Post
    I had to do the Senior Paper although I'm in yr 10 (accelerant). This is what I think I got:
    1 - 10: 30 marks
    11-20: 24 marks (Really hard for some reason =/)
    21 - 30: 10 + 13 marks

    = 77 marks.

    What does this become around?
    Which questions of the 21 - 30 do you think you got?

  21. #71
    Bring it on Official's Avatar
    Join Date
    Feb 2009
    HSC
    2011
    Gender
    Male
    Location
    Over the Moon
    Posts
    967
    Rep Power
    4

    Re: How did people go in the maths comp today?

    22, 23, 26, 27

    Did you do Senior paper too?
    HSC 2010
    Mathematics - 99 || MX1 - 98

    HSC 2011
    Physics - 96 || Chemistry - 95
    MX2 - 96
    Eng Adv - 92

    ATAR: 99.85

  22. #72
    Prophet 9
    Join Date
    Aug 2008
    HSC
    2009
    Gender
    Male
    Location
    Sydney
    Posts
    3,485
    Rep Power
    7

    Re: Australian Mathematics Competition

    Quote Originally Posted by Puttah View Post
    This was the first time I ever competed and oh boy... it was the hardest test I ever took... by far!
    Are these tests usually consistent in difficulty each year? What kinds of raw marks get HD's, D's and credits? I did the senior exam btw.
    yeah consistently the same difficulty
    probably 80-90 for HD for yr 12.
    less for yr 11
    HSC '09
    B Science (Adv. Mathematics) @ UNSW

    The School of Mathematics Prize for Level 1 Mathematics

  23. #73
    Bring it on Official's Avatar
    Join Date
    Feb 2009
    HSC
    2011
    Gender
    Male
    Location
    Over the Moon
    Posts
    967
    Rep Power
    4

    Re: Westpac Maths Comp marathon

    Quote Originally Posted by lolokay View Post
    is the answer to this 50?

    figure out my notation; )

    Lol wow, what a beast
    HSC 2010
    Mathematics - 99 || MX1 - 98

    HSC 2011
    Physics - 96 || Chemistry - 95
    MX2 - 96
    Eng Adv - 92

    ATAR: 99.85

  24. #74
    Senior Member
    Join Date
    Jun 2007
    HSC
    N/A
    Gender
    Undisclosed
    Posts
    847
    Rep Power
    6

    Re: How did people go in the maths comp today?

    Quote Originally Posted by Official View Post
    22, 23, 26, 27

    Did you do Senior paper too?
    No ;P

    Could you post them possibly? (some of them could be the same so perhaps you could just kinda explain which ones or something)

  25. #75
    Executive Member muzeikchun852's Avatar
    Join Date
    Mar 2009
    HSC
    2011
    Gender
    Undisclosed
    Posts
    1,586
    Rep Power
    5

    Re: How did u go in the Australian Maths Competition?

    i dont even remember the question any moree..
    BCom/BSc (Adv Math) - '16

Page 3 of 14 FirstFirst 1234513 ... LastLast

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •