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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • G Offline
      ginginboy
      last edited by

      Hi,


      I need help to solve the following question, hope someone can provide detail guide. Thanks in advance.

      On a certain day, 10 friends booked 2 badminton courts from 8 am to 11.30am and took turns to play games on them. At any time, only 8 of them played on the 2 badminton courts while the other 2 friends watched. If each of them had the same amount of playtime, how many minutes did each person play on the court?

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

        Need some pointers on the following questions using units methods

        a) There were black and white balls in a bag.
        If 20 black balls are removed from the bag, the total number of balls left will be 7 times the number of black balls left.
        If 50 white balls are removed from from the bag, the total number of balls left will be 5 times the number of black balls left.
        How many balls are there in the bag?


        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.
        thanks

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

          ginginboy:
          Hi,


          I need help to solve the following question, hope someone can provide detail guide. Thanks in advance.

          On a certain day, 10 friends booked 2 badminton courts from 8 am to 11.30am and took turns to play games on them. At any time, only 8 of them played on the 2 badminton courts while the other 2 friends watched. If each of them had the same amount of playtime, how many minutes did each person play on the court?
          8am to 11.30am --> 3.5h
          At any time, 8 will play. So,
          total available play time --> 8 x 3.5h = 28 h

          play time per person --> 28 h/10 = 2.8h = 168 min

          cheers.

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

            ozora:
            Need some pointers on the following questions using units methods

            a) There were black and white balls in a bag.
            If 20 black balls are removed from the bag, the total number of balls left will be 7 times the number of black balls left.
            If 50 white balls are removed from from the bag, the total number of balls left will be 5 times the number of black balls left.
            How many balls are there in the bag?

            thanks

            Total number of white balls : black balls --> 6 units : 1 unit + 20

            If 50 white balls are removed:

            Number of white balls : black balls --> 4 x ( 1 units + 20) : 1 unit + 20

            total white balls:
            6 units = 4 units + 80 + 50
            1 unit --> 65

            Total number of balls --> 7 x 65 + 20 = 475

            cheers.

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

              ozora:
              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.
              thanks
              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.

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

                MathIzzzFun:
                ozora:

                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.
                thanks

                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\">

                1 Reply Last reply Reply Quote 0
                • 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

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