Free Mathematics Online Lesson and Q&A Session

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60 Replies to “Free Mathematics Online Lesson and Q&A Session”

  1. Hi!

    Kindly help me with Question 3d from Paper 42, May/June, 2010 (Syllabus Code 0580).

    Firstly, what does the question mean exactly?

    Secondly, kindly explain the answer as mentioned in the marking scheme.

    Thank you!

    • Hello Sahlarasul,

      Thanks for writing to us!

      Here we have to understand the real life scenario of the situation given in the question. Before arriving at 2, we do not know how may times this will spin without stopping at number 2. So we can take the number of total times as “n”. We can take the probability of arriving at 2 as, 2/6 by looking at the spinner. The probability of the number not arriving at 2 is 4/6. Therefore we can write the equation as,

      (4/6)^(n-1) x (2/6) = 16/243. [Arriving at 2 in ‘n‘ th time – 2/6. (n-1) times is for the probability that does not arrive at 2.]

      When solved, n becomes equal to 5. Therefore the answer is 5.

      Hope this helps! We are here for you.

      Best Regards,
      Mathematics Department

    • Hi Seoyeon,

      Please let us know if there is anything you need to clarify.

      We will be glad to assist you!

      Best Regards,
      Mathematics Department

    • Hi Saanvi,

      To find the Centre of enlargement, draw lines through the corresponding vertices of the two shapes. And these lines will intersect at the Centre of enlargement.

      And to find the Centre of rotation, draw lines through the corresponding vertices of the two shapes. (Drawing only two lines will be enough for a triangle) And then, draw the perpendicular bisector of each line. And finally you will get the Centre of rotation, where these bisectors meet each other. (the point of intersection)

      Hope this will help. We are here for you!

      Best Regards,
      Mathematics Department

  2. Hi,
    Firstly,Thank you for the resources and the help,it really boosts our preparation.
    So,I’ve had trouble finding the centre of enlargement and rotation when they ask to describe the transformation.I hope you can clarify this.

    • Hi Saanvi,

      We appreciate your enthusiasm.

      To find the Centre of enlargement, draw lines through the corresponding vertices of the two shapes. And these lines will intersect at the Centre of enlargement.

      And to find the Centre of rotation, draw lines through the corresponding vertices of the two shapes. (Drawing only two lines will be enough for a triangle) And then, draw the perpendicular bisector of each line. And finally you will get the Centre of rotation, where these bisectors meet each other. (the point of intersection)

      Hope this will help. We are here for you!

      Best Regards,
      Mathematics Department

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