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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • MathIzzzFunM Offline
      MathIzzzFun
      last edited by

      ozora:
      MathIzzzFun:

      Need some pointers on the following questions using units methods



      b) Box A contains 350 black balls and 500 white balls.
      Box B contains 400 black balls and 100 white balls.
      How many black and white balls must be removed from Box B to Box A in order to have 50% of marbles in A are black and 75% of the marbles in B are black.

      similar questions here :

      - http://www.flickr.com/photos/62167097@N02/7080366811/in/set-72157629537287046

      - http://www.flickr.com/photos/62167097@N02/6858744276/in/set-72157629537287046

      Total, black balls → 750
      Total, white balls → 600
      Total, black and white balls → 1350

      In the end:
      Total, black balls : ½ Box A + ¾ Box B →750
      Total, white balls: ½ Box A + ¼ Box B → 600
      ½ Box B → 750 – 600 = 150
      Box B → 300
      Box A → 1350 – 300 = 1050

      Balls moved from Box B to Box A :
      Black balls → 400 – ¾ x 300 = 175
      White balls → 100 – ¼ x 300 = 25


      cheers.

      this is definite clearer to understand. I got stuck trying to use the methods provided by the previous examples.

      after trf:
      Black : white
      Box A -> 1triangle: 1 triangle

      Box B-> 3 diamonds: 1 diamond.

      I do not know how to equate and divide by how many. so how do i go about doing that

      as for Q1: i got it and redraw it as below.
      http://i50.tinypic.com/tagcg7.jpg\">

      Using units and parts :

      Total, black balls → 750
      Total, white balls → 600
      Total, black and white balls → 1350

      IN the end,
      Black balls : White Balls, in Box A --> 1u : 1u (1 triangle : 1 triangle)
      Black balls : White Balls, in Box B --> 3p : 1p (3 diamonds : 1 diamond)

      Total black balls: 1u + 3p = 750
      Total white balls: 1u +1p = 600
      So, 2p --> 750 - 600 = 150
      1p --> 75
      1u --> 600 - 75 = 525

      Number of balls moved from B to A:
      Black --> 400 - 3 x 75 = 175
      White --> 100 - 75 = 25

      cheers.

      1 Reply Last reply Reply Quote 0
      • MathIzzzFunM Offline
        MathIzzzFun
        last edited by

        ozora:


        as for Q1: i got it and redraw it as below.
        http://i50.tinypic.com/tagcg7.jpg\">
        The units approach was used in the posted solution as this method could be understood by P4 students. The solution can be directly translated into a MD solution replacing the units with model blocks.

        Here's a solution using the units-parts or UP approach:

        http://i48.tinypic.com/3148efb.png\">

        cheers.

        1 Reply Last reply Reply Quote 0
        • ozoraO Offline
          ozora
          last edited by

          MathIzzzFun:
          ozora:



          as for Q1: i got it and redraw it as below.
          http://i50.tinypic.com/tagcg7.jpg\">

          The units approach was used in the posted solution as this method could be understood by P4 students. The solution can be directly translated into a MD solution replacing the units with model blocks.

          Here's a solution using the units-parts or UP approach:

          http://i48.tinypic.com/3148efb.png\">

          cheers.

          great thanks to u.

          1 Reply Last reply Reply Quote 0
          • ozoraO Offline
            ozora
            last edited by

            Need some guide again in the following question.

            John had some money. He spent it all in 3 stores. In each store, he spent $2 more than half of what he had when he entered.
            a(how much did he spend at the last store?
            b)how much did he have at first

            1 Reply Last reply Reply Quote 0
            • MathIzzzFunM Offline
              MathIzzzFun
              last edited by

              ozora:
              Need some guide again in the following question.

              John had some money. He spent it all in 3 stores. In each store, he spent $2 more than half of what he had when he entered.
              a(how much did he spend at the last store?
              b)how much did he have at first

              Total amount at first ---> 8 units
              At 1st store, spent --> 4 units + $2, Left --> 4 units - $2
              At 2nd store, spent --> 2 units - $1 + $2 = 2 units + $1, Left --> 2units - $3
              At 3rd store, spent --> 1 unit -$1.5 + $2 = 1 unit + $0.5

              At 3rd store, he spent all that he had left, so

              2 units - $3 = 1unit + $0.5
              1 unit --> $3.5

              at 3rd store, he spent --> $4
              total amount he had --> $28

              cheers.

              1 Reply Last reply Reply Quote 0
              • O Offline
                Oracle
                last edited by

                Hi, could any of you Math Guru help me with this p6 math question please:


                It takes Eleanor 8 hours to make a quilt by herself. If Kelly helps her, they will take 3 hours to make the quilt. How long would Kelly have taken if she makes the quilt by herself? Express your answer in hours and minutes.

                Thanks a lot!

                1 Reply Last reply Reply Quote 0
                • MathIzzzFunM Offline
                  MathIzzzFun
                  last edited by

                  Oracle:
                  Hi, could any of you Math Guru help me with this p6 math question please:


                  It takes Eleanor 8 hours to make a quilt by herself. If Kelly helps her, they will take 3 hours to make the quilt. How long would Kelly have taken if she makes the quilt by herself? Express your answer in hours and minutes.

                  Thanks a lot!
                  Total amount of work to make the quilt --> 24 units (LCM of 3 & 😎
                  Eleanir work rate --> 24 units/8h = 3 units /h
                  Eleanor & Kelly work rate --> 24 units /3h = 8 units/h
                  Kelly work rate --> 5 units/h
                  time taken by Kellt alone -> 24/5 h = 4. 8h = 4h 48min

                  cheers.

                  1 Reply Last reply Reply Quote 0
                  • O Offline
                    Oracle
                    last edited by

                    Thank you.

                    1 Reply Last reply Reply Quote 0
                    • B Offline
                      Bunny27
                      last edited by

                      Oracle:
                      Thank you.

                      Pls help on this question:

                      1. Melissa had 325 beads. 60% of them were red while the rest were green. After using some red beads, the percentage of red beads decreased to 35%.
                      How many red beads did she use?

                      Thanks 🙂

                      1 Reply Last reply Reply Quote 0
                      • MathIzzzFunM Offline
                        MathIzzzFun
                        last edited by

                        Bunny27:
                        Oracle:

                        Thank you.


                        Pls help on this question:

                        1. Melissa had 325 beads. 60% of them were red while the rest were green. After using some red beads, the percentage of red beads decreased to 35%.
                        How many red beads did she use?

                        Thanks 🙂

                        At first,
                        red beads --> 60% x 325 = 195
                        green beads --> 325 - 195 = 130

                        in the end,
                        green beads --> 130 (no change) --- 65%
                        1% --> 2

                        red beads --> 35% --> 70
                        red beads, used --> 195 - 70= 125

                        cheers

                        1 Reply Last reply Reply Quote 0

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