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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

      Cheerfuldad:
      Hi,


      Q. mei ing and Raja started on a 36km cycling trip at the same time. They cycled at the same speed fit the 12 mm. For the remaining 24km, Meiling cycled at a faster speed. She arrived at the finishing point 10 minutes before Raja who was 4km behind her. Raja did not change his speed throughout the trip and he completed the trip at 11 10.

      A) At what time did the trip start?

      B). What was Meiling's average speed for the remaining 24km of the trip in m/min?

      TIA.
      Hi

      I supposed the 2nd sentence should be :\"They cycled at the same speed for the first 12 km\" ?

      If it is, then:

      Raju is 4km behind when Meiling reached the finishing point.
      Time to cycle 4km = 10min, Raju's speed = 4km x 6 km/h = 24km/h
      Time taken to cycle entire distance = 36/24 h = 1.5h
      Start time = 1110 - 1.5h = 0940

      For the last 24km, when Meiling reached finishing point, Raju was 4km behind ie Raju cycled only 20km,
      Meiling's speed = 24/20 x 24km/h = 1.2 x 24 x 1000/60 m/min = 480m/min

      cheers.

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

        Belle2011:
        In every minute, 3 times as much water flows out of tap A as tap B into 2 empty containers, X and Y. After 20 minutes, container X is 2/5 filled with water and the height of water level in container X is the same as that of container Y. Given that the base area of container X is 30cm x 25cm and that of container Y is 50cm x 45cm, how many litres of water can container X hold?

        (ans is 56.25 litres)
        Hi Belle2011

        Good Morning.

        Perhaps, there may be some missing information.

        To get the given answer of 56.25 litres, one needs to have a height of 75cm.

        Best wishes

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

          Belle2011:
          Thank-you, tianzhu.

          Hi Belle2011

          You're welcome.

          Best wishes

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

            HI MathIzzzFun,


            Thank you for your answer!

            Regards

            MathIzzzFun:
            Cheerfuldad:

            Hi,

            Q. mei ing and Raja started on a 36km cycling trip at the same time. They cycled at the same speed fit the 12 mm. For the remaining 24km, Meiling cycled at a faster speed. She arrived at the finishing point 10 minutes before Raja who was 4km behind her. Raja did not change his speed throughout the trip and he completed the trip at 11 10.

            A) At what time did the trip start?

            B). What was Meiling's average speed for the remaining 24km of the trip in m/min?

            TIA.

            Hi

            I supposed the 2nd sentence should be :\"They cycled at the same speed for the first 12 km\" ?

            If it is, then:

            Raju is 4km behind when Meiling reached the finishing point.
            Time to cycle 4km = 10min, Raju's speed = 4km x 6 km/h = 24km/h
            Time taken to cycle entire distance = 36/24 h = 1.5h
            Start time = 1110 - 1.5h = 0940

            For the last 24km, when Meiling reached finishing point, Raju was 4km behind ie Raju cycled only 20km,
            Meiling's speed = 24/20 x 24km/h = 1.2 x 24 x 1000/60 m/min = 480m/min

            cheers.

            1 Reply Last reply Reply Quote 0
            • H Offline
              Hifive
              last edited by

              Hi all


              Need help with the following questions:

              1. http://www.flickr.com/photos/62186744@N04/6028704702/

              2. Tom bought a vase which he decides to sell. If he sells the vase at a discount of 20%, he makes a gain of $150. If he sells it at 45% discount, he loses $325. How much did Tom pay for his vase?

              Thanks in advance!

              1 Reply Last reply Reply Quote 0
              • B Offline
                bobsg01
                last edited by

                Need your kind help for this question.


                Thanks in advance.

                http://i54.tinypic.com/2qtctci.jpg\">

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

                  bobsg01:
                  Need your kind help for this question.


                  Thanks in advance.

                  http://i54.tinypic.com/2qtctci.jpg\">
                  The question was discussed earlier on. Cheerio!

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

                    Hifive:

                    2. Tom bought a vase which he decides to sell. If he sells the vase at a discount of 20%, he makes a gain of $150. If he sells it at 45% discount, he loses $325. How much did Tom pay for his vase?
                    Hi Hifive

                    Your second question is pretty similar to one question discussed in one of our earlier posts.

                    There are two scenarios in your question. (Terry in the old question and Tom in the new one)

                    The first one involves Terry selling at a discount of 20% from the usual price or marked price. In the second case, he sells at a discount of 45% from the usual price.

                    When the selling price of the vase is less than the usual price or marked price of the vase, a discount on the item is given.

                    The selling price of the vase in the two scenarios is different, only the usual price or marked price remains the same.

                    Best wishes.

                    http://farm4.static.flickr.com/3325/5817158092_59fee6a1d8_z.jpg
                    http://farm6.static.flickr.com/5064/5816591015_a98e4eb5a1_z.jpg

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

                      Hifive:
                      Hi all


                      Need help with the following questions:

                      2. Tom bought a vase which he decides to sell. If he sells the vase at a discount of 20%, he makes a gain of $150. If he sells it at 45% discount, he loses $325. How much did Tom pay for his vase?

                      Thanks in advance!
                      25% -> $150 + $325 = $475
                      100% -> 4 x 475 = 950 x 2 = $1900
                      80% -> 1900 x 8/10 = $1520
                      Original -> $1520 - $150 = $1370

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

                        Hifive:
                        Hi all


                        Need help with the following questions:

                        1. http://www.flickr.com/photos/62186744@N04/6028704702/

                        2. Tom bought a vase which he decides to sell. If he sells the vase at a discount of 20%, he makes a gain of $150. If he sells it at 45% discount, he loses $325. How much did Tom pay for his vase?

                        Thanks in advance!
                        Hi

                        Q1 is similar to this question posted by pensiveowl - http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=27&t=280&start=3800

                        cheers.

                        1 Reply Last reply Reply Quote 0

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