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    All About Math Olympiad Training & Questions

    Scheduled Pinned Locked Moved Mathematics
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    • A
      Absolutely Bo Chap
      last edited by

      Kebun Baru CC is organising a 2 day Mathematical Olympiad workshop from 18th to 19th March 2013, 9.00am to 1.00pm.


      Here are the poster problems:

      1. Let ABC be an isosceles triangle and D be a point inside triangle ABC.
      AB = AC = BD
      Angle BAC = 90 deg
      Angle ABD = 30 deg
      Find angle BCD.

      Ans:\t30 deg

      2. A group of workers need to mow two fields.
      • The area of the large field is twice the area of the small field.
      • On Day 1, all the workers mow the large field.
      • On Day 2, half the workers mow the large field and half the workers mow the small field. The large field is fully mowed by the end of Day 2.
      • On Day 3, two workers mow the remaining of the small field. The small field is fully mowed by the end of Day 3.
      How many workers are there?

      Ans:\t8 workers

      3. 2 friends are having a conversation.
      A: The product of the ages of my 3 children is 144.
      B: What are their ages?
      A: The sum of their ages is the number of books on the shelf.
      (B counts the number of books.)
      B: I still do not know their ages.
      A: Oh, yes. I forgot to mention that I do not have twins.
      What are the ages of the 3 children?

      Ans:\t3, 6 and 8 years old

      Here is the banner problem:

      4. Let ABC be an isosceles triangle.
      Let D be a point on AC.
      Let E be a point on BD.
      AB = AC = BD = CE
      CD = DE
      Find angle CDE.

      Ans:\t100 deg

      I think the banner problem is the most difficult.

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      • M
        mathsoasis
        last edited by

        HI I think the NMOS is likely to be on first week or second week of July. They are usually held the first Wednesday after the school reopens on Term 3.

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        • M
          mathsoasis
          last edited by

          nz:
          Hi,

          Can anyone share what are the benefits of joining the P6 Math Olympiad Training in school? Not so much on the competition. More on what they have learn from the training. Am deciding if I should let my child participate. Thanks.
          There are usually 3 types of questions that are contained within the Primary Maths Syllabus and they revolve around A) Knowledge B) Comprehension C) Application.

          Maths Olympiad Training normally trains the students to apply their knowledge of maths in various situations. Hence the benefits to the child for a good MO programme is flexibility of thinking, enhanced problem solving skills and ability to apply prior knowledge to solve problems creatively.

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          • A
            Absolutely Bo Chap
            last edited by

            Any proposed solutions to the poster problems and banner problems?

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            • A
              Absolutely Bo Chap
              last edited by

              Problems 1 & 2 can be solved, though with a bit of efforts. Problems 3 & 4 remain challenging.

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              • M
                mathsoasis
                last edited by

                For Question 3, is the number of books shown on the banner?

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                • A
                  Absolutely Bo Chap
                  last edited by

                  No, the number of books is not given. It is a poster problem … the banner problem is Problem 4.

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                  • MathIzzzFunM
                    MathIzzzFun
                    last edited by

                    http://i47.tinypic.com/294maoj.png\">


                    cheers.

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                    • MathIzzzFunM
                      MathIzzzFun
                      last edited by

                      http://i46.tinypic.com/sgu1ag.png\">


                      cheers.

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                      • MathIzzzFunM
                        MathIzzzFun
                        last edited by

                        http://i48.tinypic.com/29bjcrb.png\">


                        cheers.

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