Download Soal Olimpiade Matematika Canadian Mathematical Olympiad (CMO) dan pembahasannya

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    Canadian Mathematical Olympiad (CMO)

    The CMO is supported by Sun Life Financial Services of Canada, the CMS, and teachers at the university and high school level.

    The 2010 CMO will take place on Wednesday, March 24th, 2010.

    The 2009 CMO took place on Wednesday, March 25th, 2009. The winners have been announced.

    Participation in the CMO

    The Canadian Mathematical Olympiad (CMO) is a closed competition whose candidates require an invitation from the Canadian Mathematical Society. This is to ensure, as far as is possible, that students writing the competition are aware of its nature, have had competition experience and can be expected to do reasonably well.

    There are a number of ways to secure an invitation:

    1. The main route to an invitation is doing well on the Open (the Sun Life Financial Canadian Open Mathematics Challenge, also known as the COMC), written in the previous November. Normally, the top 50 students from the Open receive a direct invitation to write the CMO.
    2. The next 150 or so top Open participants are invited to write the Canadian Mathematics Olympiad Qualifying Repêchage (CMOQR). Students who do well on the Repêchage are then invited to write the CMO. In some circumstances, the Chairs of the Open and CMO Committees, in consultation with the Chair of the Mathematical Competitions Committee (MCC), may authorize other students to write the Repêchage. Students participating in the Repêchage receive, electronically, a set of ten problems, whose solutions must be submitted within a week of receipt.
    3. The Chair of the CMO Committee may invite students who perform well in the Alberta or Quebec provincial competitions.
    4. Normally, students who have done well in past CMO, APMO and USAMO competitions, as well as those who have participated in training camps for the IMO, are invited.
    5. Finally, the Chair of the CMO Committee may invite students who, in his/her opinion, will make a credible attempt; such students, for example, may have participated in the Mathematics Olympiads Correspondence Program (Olymon).


    The First Prize winner in the 2009 Canadian Mathematical Olympiad receives the Sun Life Cup and $2 000. In addition, the Second Prize winner receives $1 500, the Third Prize winner receives $1 000 and students earning an Honourable Mention (approximately six students) receive $500 each.

    In order to be eligible for prizes the student:

    • must be a Canadian citizen or permanent resident who is in full-time attendance at an elementary or secondary school, or CEGEP since September of the year prior to the CMO;
    • be less than 20 years old as of June 30 of the year of the CMO; and
    • must not have written the Putnam Competition.

    Succeeding at the CMO

    It is important to emphasize that any student who is invited to write the CMO should be aware that success will require mathematics at a higher level than is taught in most schools, and therefore should prepare specifically for the competition. The Society has several resources available, including questions and solutions from previous competitions (available below), books in the ATOM Series and the journal Crux Mathematicorum with Mathematical Mayhem, which is strongly recommended.

    Model Pembelajaran problem solving

    a. Pengertian
    Sebelum memberikan pengertian tentang pengertian problem solving atau pemecahan masalah, terlebih dahulu membahas tentang masalah atau problem. Suatu pertanyaan akan merupakan suatu masalah jika seseorang tidak mempunyai aturan tertentu yang segera dapat dipergunakan untuk menemukan jawaban pertanyaan tersebut.

    Munurut Polya (dalam Hudojo, 2003:150), terdapat dua macam masalah :
    (1) Masalah untuk menemukan, dapat teoritis atau praktis, abstrak atau konkret, termasuk teka-teki. Kita harus mencari variabel masalah tersebut, kemudian mencoba untuk mendapatkan, menghasilkan atau mengkonstruksi semua jenis objek yang dapat dipergunakan untuk menyelesaikan masalah tersebut. Bagian utama dari masalah adalah sebagai berikut. Continue reading

    Pendekatan Problem Open Ended

    Problem Open Ended adalah pembelajaran pendekatan terbuka yang memberikan kebebasan individu untuk mengembangkan berbagai cara dan strategi pemecahan masalah sesuai dengan kemampuan masing-masing
    peserta didik (dalam Suherman, 2003:124). Pembelajaran berbasis problem open ended memberikan ruang yang cukup bagi peserta didik untuk mengeksplorasi permasalahan sesuai kemampuan, bakat, dan minatnya, sehingga peserta didik yang memiliki kemampuan yang lebih tinggi dapat berpartisipasi dalam berbagai kegiatan matematika, dan peserta didik dengan kemampuan lebih rendah masih dapat menikmati kegiatan matematika sesuai dengan kemampuannya.

    Shimada (dalam Suherman, 2003:124), menyatakan bahwa dalam pembelajaran matematika, rangkaian dari pengetahuan, keterampilan, konsep, prinsip, atau aturan diberikan kepada peserta didik biasanya melalui
    langkah demi langkah. Langkah-langkah pembelajaran matematika dengan pendekatan problem open ended adalah sebagai berikut. Continue reading

    Download Soal olimpiade Matematika SMP (Australian Junior Mathematics olympiad) 2008-2009

    UWA, with the Australian Mathematical Olympiads Committee, is hosting the 2010 WA Junior Mathematics Olympiad for all bright Year 9 and exceptional Year 8 students.

    The Olympiad is a WA high school competition with teams of four students (Year 9 or below) representing their schools.

    The aim of the competition is to identify the most gifted students in Mathematics.

    contoh soal :

    1. A certain 2-digit number x has the property that if we put a 2 before it and a 9 afterwards we get a 4-digit number equal to 59 times x. What is x? [2 marks]
    2. Four friends go shing and catch a total of 11 sh. Each person caught at least one sh. The following ve statements each have a label from 1 to 16. What is the sum of the labels of all the statements which must be true?

    1: One person caught exactly 2 sh.
    2: One person caught exactly 3 sh.
    4: At least one person caught fewer than 3 sh.
    8: At least one person caught more than 3 sh.
    16: Two people each caught more than 1 sh. [2 marks]

    soal olimpiade matematika smp (australia) dan pembahasannya yang bisa di unduh:

    1. Australian Junior Mathematics Olympiad 2009
    2. Australian Junior Mathematics Olympiad 2008