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    Tutor MathsGuru: Ask me for your burning Maths questions!

    Scheduled Pinned Locked Moved Primary Schools - Academic Support
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    • C Offline
      CJM
      last edited by

      A pond can be filled in 1h by 6 taps following at the same rate. How long will it take for 4 such taps to fill the pond?

      1 Reply Last reply Reply Quote 0
      • B Offline
        Belle2011
        last edited by

        CJM:
        A pond can be filled in 1h by 6 taps following at the same rate. How long will it take for 4 such taps to fill the pond?

        1 tap can fill 1/6 pond in an hr.
        4 taps can fill 4/6 pond in an hr.
        4 taps can fill 2/6 pond in 30 min.
        Thus 4 taps can fill 1 pond in 1hr 30 min.

        :roll:

        1 Reply Last reply Reply Quote 0
        • A Offline
          ADoc
          last edited by

          Emelyn:
          Hi all,


          Need some help here.

          Qn : Jan and Kay had equal number of sweets and equal number of chocolates. Jan ate 12 sweets and Kay ate 18 chocolates and then the ratio of Jan's sweets to chocolates became 1:7, and the ration of Kay's sweets to chocolates became 1:4. How many sweets did Jan have at first ?

          Many thanks.
          Hi Emelyn! I have posted the solution to this question before. Pls refer to the link. cheers!

          http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=6373&postdays=0&postorder=asc&start=3220

          1 Reply Last reply Reply Quote 0
          • S Offline
            small
            last edited by

            Emelyn:
            Hi all,


            Need some help here.

            Qn : Jan and Kay had equal number of sweets and equal number of chocolates. Jan ate 12 sweets and Kay ate 18 chocolates and then the ratio of Jan's sweets to chocolates became 1:7, and the ration of Kay's sweets to chocolates became 1:4. How many sweets did Jan have at first ?

            Many thanks.

            Please refer to Tianzhu's post for the solution.

            http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=280&start=2620

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            • ozoraO Offline
              ozora
              last edited by

              trytry:
              LaiHeng:

              HI try try

              thanks for the answer.
              I am abit lost at : A: B
              Ratio of no of group= 3: 2 . How do you derive=3: 2?

              BOX............................................A.......................B
              ratio of white beads in 1 gp.......2........................3

              In Box A, every 2 beads in 1 gp.
              ................every 1bead in 1/2 gp
              Similarly, in Box B, every 3 beads in 1 gp
              ......................... .every..1 bead in 1/3 gp

              No of gp for 1 bead....................1/2.........................1/3
              Express as a ratio....................1/2x6=3.................1/3x6=2
              ratio of gp....................................3........................2

              thanks
              wow.. is really in dept understanding. How can kids do all these questions if they are not expose to it?

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              • S Offline
                she0407
                last edited by

                Pls help to explain.


                When Gabriel bought 5 chairs, he had $12 left.
                When he bought 9 such chairs, he was short of $60.
                (a) Find the cost of each chair.
                (b) How much money did he have?


                Thank you very much!

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                • B Offline
                  Brenda10
                  last edited by

                  she0407:
                  Pls help to explain.


                  When Gabriel bought 5 chairs, he had $12 left.
                  When he bought 9 such chairs, he was short of $60.
                  (a) Find the cost of each chair.
                  (b) How much money did he have?


                  Thank you very much!
                  Hi, the following is the working:

                  To buy 4 more chairs (9 -5), $72 would be needed (12 + 60).

                  9 - 5 = 4
                  60 +12 = 72
                  72 / 4 = 18

                  (5 * $18 ) + $12 = $102

                  Thank you

                  1 Reply Last reply Reply Quote 0
                  • C Offline
                    CJM
                    last edited by

                    Belle2011:
                    CJM:

                    A pond can be filled in 1h by 6 taps following at the same rate. How long will it take for 4 such taps to fill the pond?


                    1 tap can fill 1/6 pond in an hr.
                    4 taps can fill 4/6 pond in an hr.
                    4 taps can fill 2/6 pond in 30 min.
                    Thus 4 taps can fill 1 pond in 1hr 30 min.

                    :roll:

                    thank u so much !

                    1 Reply Last reply Reply Quote 0
                    • I Offline
                      Idont splat
                      last edited by

                      err... Can someone pls reply to my questions on page 328 ? :? Sorry if I was too impatient... :oops:

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                      • Y Offline
                        yeonee
                        last edited by

                        ADoc:
                        yeonee:

                        [quote=\"Dharma\"]
                        144 = ( 2 x 2 x 2 ) x ( 2 x 3 x 3 ) = 8 x 18
                        Ben’s age now = 18
                        Ben’s younger brother’s age = 8
                        Ben’s age in 20 years’ time = 18 + 20 = 38

                        Sorry. Could u explain why (2x2x2) x (2x3x3)?

                        Hi Veonee! Dharma was using a more \"advanced\" concept of factorisation (versus guess & check) in order to find the two numbers that give 26 and 144 when added and multiplied together.

                        If you were to (prime) factorise 144 into its basic components, you will get
                        2 x 2 x 2 x 2 x 3 x 3. (start by dividing with 2, proceed to the next (prime) number, 3, when the quotient is no longer divisible by 2)

                        An alternative (and perhaps more intuitive) for primary students would be to write down all the factors of 144:
                        1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
                        and find two numbers that add and multiply to give 26 and 144.[/quote]
                        OIC. Thank you very much.

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