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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • isetanI
      isetan
      last edited by

      Hi, appreciate help into this question:-


      Lawerance had some money. He spent 3/5 of it on 4 similar highlighters. With the rest of his money, he bought another 2 such highlighters and 10 rulers.

      a) What fraction of his money was spent on buying 10 rulers? Give your ans
      in its simplest form.

      b) In a sale, Lawerance would be given 1 free ruler for every 12 rulers bought. how many rulers would he get altogether if he had spent all money at first on rulers?


      DD has worked out answer for (a) is 1/10 and (b) is 91.

      Wonder if her answer is correct?

      TIA

      1 Reply Last reply
      Reply Quote 0
      • T
        tianzhu
        last edited by

        isetan:
        Hi, appreciate help into this question:-


        Lawerance had some money. He spent 3/5 of it on 4 similar highlighters. With the rest of his money, he bought another 2 such highlighters and 10 rulers.

        a) What fraction of his money was spent on buying 10 rulers? Give your ans
        in its simplest form.

        b) In a sale, Lawerance would be given 1 free ruler for every 12 rulers bought. how many rulers would he get altogether if he had spent all money at first on rulers?


        DD has worked out answer for (a) is 1/10 and (b) is 91.

        Wonder if her answer is correct?

        TIA
        Hi

        I've the same answer for (a).

        12 units ------ 4 highlighters

        3 units ------ 1 highlighter

        2 units ------ 10 rulers

        2/20 ------ 1/10

        For (b), my answer is 108.

        2 units ------- 10 rulers

        20 units ------ 100 rulers

        1 free ruler for every 12 rulers bought.

        96 + 8 + 4 ------ 108

        Best wishes

        1 Reply Last reply
        Reply Quote 0
        • isetanI
          isetan
          last edited by

          thanks Tianzhu. Appreciate your help.

          1 Reply Last reply
          Reply Quote 0
          • isetanI
            isetan
            last edited by

            tianzhu:
            isetan:

            Hi, appreciate help into this question:-


            Lawerance had some money. He spent 3/5 of it on 4 similar highlighters. With the rest of his money, he bought another 2 such highlighters and 10 rulers.

            a) What fraction of his money was spent on buying 10 rulers? Give your ans
            in its simplest form.

            b) In a sale, Lawerance would be given 1 free ruler for every 12 rulers bought. how many rulers would he get altogether if he had spent all money at first on rulers?


            DD has worked out answer for (a) is 1/10 and (b) is 91.

            Wonder if her answer is correct?

            TIA

            Hi

            I've the same answer for (a).

            12 units ------ 4 highlighters

            3 units ------ 1 highlighter

            2 units ------ 10 rulers

            2/20 ------ 1/10

            For (b), my answer is 108.

            2 units ------- 10 rulers

            20 units ------ 100 rulers

            1 free ruler for every 12 rulers bought.

            96 + 8 + 4 ------ 108

            Best wishes


            Tianzhu,

            Just clarify again....for the last sentence, why do you need to 'plus 4' (ie. 96+8+4).

            thanks.

            1 Reply Last reply
            Reply Quote 0
            • T
              tianzhu
              last edited by

              isetan:

              Tianzhu,

              Just clarify again....for the last sentence, why do you need to 'plus 4' (ie. 96+8+4).

              thanks.
              Hi

              He can buy 100 rulers.

              1 free ruler for every 12 rulers bought.

              100 = 96 + 4

              For 96 rulers, he gets 8 free

              So, (96 + šŸ˜Ž + 4 ------- 108

              Best wishes

              1 Reply Last reply
              Reply Quote 0
              • isetanI
                isetan
                last edited by

                Thanks! Understand now.

                1 Reply Last reply
                Reply Quote 0
                • K
                  kiasustar
                  last edited by

                  Hi anyone can help?


                  The average height of a group of children was 139.4 cm. When Mr Tan measured and recorded the height of these children, he wrongly recorded one child's height as 192 cm when it shld have been 129 cm. As a result, Mr Tan recalculated the average height as 142.4 cm. How many children were there in the group?

                  :rahrah: :thankyou:

                  1 Reply Last reply
                  Reply Quote 0
                  • isetanI
                    isetan
                    last edited by

                    Hi, need help on this question:--



                    http://i50.tinypic.com/1g65hi.jpg\">

                    Two candles of different thickness were placed on a table. Candle B was placed on a stand of height 8 cm to reach the same height as Candle A. At 0630, Candle A was lit. One hour later, Candle B was lit. Both candles burnt down to the height marked 'X' at 1100. At 1600, Candle B burnt out while Candle A only burnt out at 2000. The rate of burning for each candle was constant throughtout.

                    (a) Find the ratio of the time taken for Candle A to burn to \"X\" to the time taken for Candle B to burn to \"X\".

                    (b) Find the original height of Candle A.

                    TIA.

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

                      kiasustar:
                      Hi anyone can help?


                      The average height of a group of children was 139.4 cm. When Mr Tan measured and recorded the height of these children, he wrongly recorded one child's height as 192 cm when it shld have been 129 cm. As a result, Mr Tan recalculated the average height as 142.4 cm. How many children were there in the group?

                      :rahrah: :thankyou:
                      Hi
                      Total increase in overall height
                      = 192-129 = 63
                      = increase in average height x number of children
                      increase in average height = 142.4-139.4=3
                      Number of children =63/3 = 21

                      cheers.

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

                        isetan:
                        Hi, need help on this question:--



                        http://i50.tinypic.com/1g65hi.jpg\">

                        Two candles of different thickness were placed on a table. Candle B was placed on a stand of height 8 cm to reach the same height as Candle A. At 0630, Candle A was lit. One hour later, Candle B was lit. Both candles burnt down to the height marked 'X' at 1100. At 1600, Candle B burnt out while Candle A only burnt out at 2000. The rate of burning for each candle was constant throughtout.

                        (a) Find the ratio of the time taken for Candle A to burn to \"X\" to the time taken for Candle B to burn to \"X\".

                        (b) Find the original height of Candle A.

                        TIA.
                        Hi

                        I presume you are able to work out (a)

                        Time taken for A to burn to X --> 4.5h
                        Time taken for B to burn to X --> 3.5h
                        Total time taken for A to burn out --> 13.5h
                        Total time taken for B to burn out --> 8.5h
                        4.5/13.5 A = 3.5/8.5 B
                        A/B = 21/17
                        A --> 21 units, B --> 17 units
                        4 units --> 8 cm
                        So, original height of A --> 21/4 x 8 = 42 cm

                        cheers.

                        1 Reply Last reply
                        Reply Quote 0

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