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.

    Download Soal Olimpiade Matematika Inggris (British Mathematical Olympiad) Tahun 1993-2009

    The British Mathematical Olympiad forms part of the selection process for the UK International Mathematics Olympiad team. There are two rounds, the BMO1 and the BMO2.


    [edit] BMO Round 1

    The first round of the BMO is held in December, and from 2006 is an open entry competition, costing £22 to enter. However, this fee is waived for those who (1) achieve the qualifying mark in the Senior Mathematical Challenge and (2) have a British passport, or have studied for 3 years full time education in the UK. The paper lasts 3½ hours, and consists of six questions (from 2005), each worth 10 marks.

    Candidates are encouraged to write full proofs to the questions they attempt, as a full answer to a question is worth many more marks than incomplete answers to several questions. This is because of the marking scheme: an answer is marked on either a “0+” or a “10-” mark scheme, depending on whether the answer looks generally complete or not. So if an answer is judged incomplete or unfinished, it is awarded a few marks for progress and relevant observations, whereas if it is presented as complete and correct, marks are deducted for faults, poor reasoning, or unproven assumptions. As a result, it is quite uncommon for an answer to score a middling mark (e.g. 4–6). Continue reading



    Every letter in the Arabic alphabet has a numerical (gematrical) value. In other words, in Arabic every letter stands for a number. A number of calculations can be made from this basis. These are referred to as numerological (abjad) calculations or “hisab al-jumal.”239 Muslims who took advantage of the fact that every letter of the alphabet represents a number have used this in a number of fields. Ilm’ul Jafr is one of these.

    Jafr is the science of foretelling what is likely to happen in the future. One of the methods employed by people who engage in this is to compare symbolic forms and letters’ numerological values. The main difference between “abjad” and “jafr” methods is that the former refers to what has already taken place and the latter to what is likely to take place in the future.240

    This method of calculation is a form of writing which goes back several centuries and which was widely used before the revelation of the Qur’an. Everything which happened in Arab history was written down by attributing numerical values to letters thus the date of every event was recorded. These dates were obtained by adding up the particular numerical values of every letter employed.

    When certain verses of the Qur’an are examined in the light of the “abjad” method, we see that a number of dates emerge which are fully in accordance with the meanings of those verses. When we see that things referred to in these verses actually happened on the dates obtained by this method, we understand that there is a secret indication regarding those events in the verses. (Allah knows best.)

    The 1969 Moon Landing is Indicated in the Qur’an

      The Hour has drawn near and the moon has split. (Qur’an, 54:1)

      The Arabic word “inshaqqa” (split) used in the above verse is derived from the word “shaqqa,” which can also be used to mean “causing something to rise, ploughing or digging the soil”:

      We pour down plentiful water, then split the earth into furrows. Then We make grain grow in it, and grapes and herbs and olives and dates and luxuriant gardens and orchards and meadows.
      (Qur’an, 80:25-31)

    As we can see, the word “shaqqa” in the above verse is not being used in the sense of “dividing into two” but of “slicing through the soil, reaping various crops.” When evaluated in this sense, the meaning of the word “shaqqa” in the expression “the moon has split” (Qur’an, 54:1) can also be seen to be referring to the 1969 moon landing and the studies performed on the moon land. (Allah knows best.) In fact, there is another very important indication here: Some of the “abjad” values of certain words in this verse in Surat al-Qamar also point to the figure 1969. Continue reading