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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • R Offline
      Rockstar
      last edited by

      Mr Tan had 200 apples and oranges.

      1/3 of the apples and 1/4 of the oranges were rotten. He threw away 60 rotten fruits altogether. How many rotten oranges were there?



      http://postimage.org/image/22o2e538/

      1 Reply Last reply Reply Quote 0
      • U Offline
        Uncle Joe
        last edited by

        abc_parent:
        Hi gurus,

        I have some questions from various papers 1.

        NanHua SA1 2009

        Q14) Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours ,the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey?

        Ans: 4:3


        Nan Hua Prelims 2009

        Q14) Which one of the following shapes does not tessellate? -> I don't have picture so please help if you can.

        Ans: (4) is the given answer correct?

        Catholic High Prelims 2009

        Q30) A man travels from Town X to Town Y at 4km/h and from Town Y to Town X at 6 km/h via the same route. The whole journey takes 45 minutes. Find the distance from Town X to Town Y.

        Ans: 1.8km (how? I got 3.8km)

        SCGS Prelims 2009

        Q15) Alan completed a race in 1h 40 min. In the race, the ran at an average spped of 30m/min from Point A to Point B and then ran back from Point B to Point A at an average speed of 20m/min. How long did he take to run back to Point A from Point B?

        Ans: I don't have it. Choices of 40 min, 50 min, 60 min, 100 min.
        I think is 60 min ๐Ÿ˜„
        Nanyang Prelims 2009

        Q15)This question has a diagram. Please help if you have the exam paper.
        The 4 containers below each contains the same amount of water with different number of objects. What is the volume of object Y?

        Ans: Given answer is 80 cubic cm.

        1 Reply Last reply Reply Quote 0
        • U Offline
          Uncle Joe
          last edited by

          Uncle Joe:
          abc_parent:

          Hi gurus,

          I have some questions from various papers 1.

          NanHua SA1 2009

          Q14) Adrian and Bob started driving at the same time. Bob took 6 hours to complete his journey while Adrian took 9 hours to complete his. After 3 hours ,the two men were left with the same distance to complete. What is the ratio of the distance of Bob's journey to the distance of Adrian's journey?

          Ans: 4:3


          Nan Hua Prelims 2009

          Q14) Which one of the following shapes does not tessellate? -> I don't have picture so please help if you can.

          Ans: (4) is the given answer correct?

          Catholic High Prelims 2009

          Q30) A man travels from Town X to Town Y at 4km/h and from Town Y to Town X at 6 km/h via the same route. The whole journey takes 45 minutes. Find the distance from Town X to Town Y.

          Ans: 1.8km (how? I got 3.8km)
          I got 1.8Km
          speed:
          4:6
          2:3
          Time:
          3:2
          so take 45min divide by (3+2) then multyply by 3 or 2.
          the rest go and think about it ๐Ÿ˜‰
          SCGS Prelims 2009

          Q15) Alan completed a race in 1h 40 min. In the race, the ran at an average spped of 30m/min from Point A to Point B and then ran back from Point B to Point A at an average speed of 20m/min. How long did he take to run back to Point A from Point B?

          Ans: I don't have it. Choices of 40 min, 50 min, 60 min, 100 min.
          I think is 60 min ๐Ÿ˜„
          Nanyang Prelims 2009

          Q15)This question has a diagram. Please help if you have the exam paper.
          The 4 containers below each contains the same amount of water with different number of objects. What is the volume of object Y?

          Ans: Given answer is 80 cubic cm.

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

            Hi


            Hope this helps.

            Best wishes
            http://farm5.static.flickr.com/4145/5021606703_880283ffe4_z.jpg\">

            1 Reply Last reply Reply Quote 0
            • Y Offline
              Yu Xuan
              last edited by

              Uncle Joe:
              Uncle Joe:

              [quote=\"abc_parent\"]Hi gurus,

              I have some questions from various papers 1.

              Catholic High Prelims 2009

              Q30) A man travels from Town X to Town Y at 4km/h and from Town Y to Town X at 6 km/h via the same route. The whole journey takes 45 minutes. Find the distance from Town X to Town Y.

              Ans: 1.8km (how? I got 3.8km)
              I got 1.8Km
              speed:
              4:6
              2:3
              Time:
              3:2
              so take 45min divide by (3+2) then multyply by 3 or 2.
              the rest go and think about it ๐Ÿ˜‰
              SCGS Prelims 2009

              .

              [/quote]Speed ratio
              XY : YX --> 4 : 6 --> 2 : 3

              Time Ratio
              XY : YX --> 3 : 2

              Total time --> 3units + 2 units = 5units
              5units --> 45/60 h
              3units --> 45/60 * 3 /5 = 9/20h

              Distance --> 9/20h * 4km/h = 1 4/5km

              1 Reply Last reply Reply Quote 0
              • Y Offline
                Yu Xuan
                last edited by

                Uncle Joe:
                Uncle Joe:

                [quote=\"abc_parent\"]
                [Nan Hua Prelims 2009

                Q14) Which one of the following shapes does not tessellate? -> I don't have picture so please help if you can.

                Ans: (4) is the given answer correct?

                [.

                [/quote]Yes 4 is the answer.

                1 Reply Last reply Reply Quote 0
                • Y Offline
                  Yu Xuan
                  last edited by

                  Uncle Joe:
                  Uncle Joe:

                  [quote=\"abc_parent\"] Nanyang Prelims 2009


                  Q15)This question has a diagram. Please help if you have the exam paper.
                  The 4 containers below each contains the same amount of water with different number of objects. What is the volume of object Y?

                  Ans: Given answer is 80 cubic cm.

                  [/quote]Comparing the bottom 2 containers;
                  1X + 1Y = 380 - 240 = 140

                  Comparing the top right and bottom left containers;
                  3X = 380 - 200 = 180
                  1X = 180 / 3 = 60

                  Hence;
                  1Y --> 140 - 60= 80

                  1 Reply Last reply Reply Quote 0
                  • F Offline
                    firebird
                    last edited by

                    Dear all


                    Good afternoon.

                    Please help me on the following P6 maths:

                    Anna, Belinda and Clare bought a vase and shared the cost equally among themselves. Clare did not bring her money, so Anna and Belinda paid for the vase first. Anna paid 0.25 more than what Belinda had paid. The following day, Clare paid her share to both Anna and Belinda.

                    a) Clare paid Belinda $6.55. How much did Clare pay Anna?

                    b) Clareโ€™s brother bought a similar vase at the same shop during a sale and was given a disconunt of 20% of the price that Clare and her friends paid for. How much did Clareโ€™s brother pay for the Vase?

                    Thank you
                    Firebird

                    1 Reply Last reply Reply Quote 0
                    • L Offline
                      leesf
                      last edited by

                      Hi, appreciate if you could help this question from Kong Hwa practice papers.


                      A car and a truck were travelling from Town X to Town Y which were 375km apart. the car set off 2 hours later than the truck but arrived 1 hr 20min earlier. If the speed of the truck was 50km/h, find the time taken by the car to catch up with the truck.

                      Thanks

                      1 Reply Last reply Reply Quote 0
                      • R Offline
                        Rockstar
                        last edited by

                        firebird:
                        Dear all


                        Good afternoon.

                        Please help me on the following P6 maths:

                        Anna, Belinda and Clare bought a vase and shared the cost equally among themselves. Clare did not bring her money, so Anna and Belinda paid for the vase first. Anna paid 0.25 more than what Belinda had paid. The following day, Clare paid her share to both Anna and Belinda.

                        a) Clare paid Belinda $6.55. How much did Clare pay Anna?

                        b) Clare's brother bought a similar vase at the same shop during a sale and was given a disconunt of 20% of the price that Clare and her friends paid for. How much did Clare's brother pay for the Vase?

                        Thank you
                        Firebird

                        This question can be solved easily with a model.

                        What they were supposed to pay.

                        A [ 1 unit ]

                        B [ 1 unit ]

                        C [ 1 unit ]


                        But they paid,

                        A [ 1 unit ][$6.55][0.25 units]

                        B [ 1 unit ][$6.55]

                        $6.55 +$6.55+0.25 units = 1 unit
                        0. 75 units=13.10

                        Clare paid $13.10 to Anna

                        b)

                        1 unit-------$13.10+$6.55= $19.65

                        3 units------$19.65 x 3 = $58.95

                        100% of the cost----$58.95

                        100%-20% of the cost -------58.95/100 x 80
                        80% of the cost------$47.16

                        Clare's brother paid $47.26 for the vase.


                        Are both my answers correct?

                        1 Reply Last reply Reply Quote 0

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