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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • K Offline
      KRR
      last edited by

      WCW:
      KRR:

      Hi all,

      I need help with this question.

      On Saturday pants in a shop were sold at $30 each.
      On Sunday the price of pants was reduced and number of pants sold
      increased by 50% while the amount collected increased by 25%.

      Find the price of pair of pants sold on Sunday.

      Thanks in advance.
      KRR

      not so sure if can use algebra...

      Let x=number of pants sold on Sat
      Amount collected on Sat = 30x

      Number of pants sold on Sun = 1.5x (increased by 50%)
      Let y=price of pants on Sun
      Amount collected on Sun = 1.5xy

      Since amt collected on Sun increased by 25%
      the eqn is
      30x * 1.25 = 1.5xy
      37.5x = 1.5xy
      y = $25

      Thank you very much.
      KRR

      1 Reply Last reply Reply Quote 0
      • 2 Offline
        2centsworthy
        last edited by

        Please help to solve the following:


        Ron had some chocolates and sweets. If Ron sold 18 chocolates and 24 sweets each day, there would still be 25 chocolates left when all the sweets were sold. If Ron sold 13 chocolates and 30 sweets each day, he would still have 139 chocolates left when all the sweets were sold. How many chocolates and sweets did Ron have?

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        • T Offline
          tianzhu
          last edited by

          WCW:
          this is a very useful link 🙂

          thanks
          Hi

          You’re welcome.

          Best wishes

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

            KRR:
            Thank you so much, I was able to understand your steps and thank u once again for your time and effort.

            KRR
            Hi

            You’re welcome.

            Best wishes

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

              tianzhu:
              htn:


              what is the answer?
              Tia

              Hi

              Please follow this link.
              http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html

              It should help to answer your query.

              The answer is 13.

              Best wishes

              tianzhu

              my friend's ds answer is 22pair and his classmates answer is different from him, teacher marked both correct. we are very confuse which is the correct answer?

              Thanks

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

                htn:

                my friend's ds answer is 22pair and his classmates answer is different from him, teacher marked both correct. we are very confuse which is the correct answer?
                Hi

                Based on your reply, am I right to say that two different answers are marked correct by the teacher? One is 22. what is the other?

                A pair of hamsters can produce a pair of baby hamsters every month. The baby hamsters take a month before they can reproduce another pair of baby hamsters.How many pairs of hamsters (adult and baby) will there be by the end of 6 months?

                In answering this question, one has to make assumptions.

                Please refer to articles on Fibonacci Sequence, the assumptions made on rabbits are:
                [list]
              • Always produce one male and one female offspring.
                Can reproduce once every month
                Can reproduce once they are one month old.
                Never die
              • [/list]To get the answer of 13, one starts with the assumption that a newly born pair of rabbits are put in the enclosure.

                Why 22 is marked correct by the teacher, we can only understand better if we get to see the assumptions made in their workings.

                If you are still interested to find out more about the hamster question, you can look for this book which I saw in Popular.

                Primary 5/6 Maths Olympiad: Unleash The Maths Olympian In You! (Advanced)

                https://www.popular.com.sg/jsp/product/product_detail.jsp?vca001=112&vpd001=82847

                Read the topic on Fibonacci Numbers, instead of hamsters, the question is about rabbits and the answer is 233 pairs after one year.

                However, if you assume that you started off with a productive pair of rabbits instead of a pair of newly born; you’ll get an answer of 21.

                I think the answer is either 13 or 21 depending on the assumption one made.

                Best wishes

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

                Hi all


                Need help with this question:

                Jack, Sam and Nasim walked at a constant speed of 60 m/min, 70 m/min and 80 m/min respectively. Setting off at the same time, Jack and Sam walked from Village X to Village Y while Nasim walked from Village Y to Village X. Nasim passed Jack 10 minutes after passing Sam. Find the distance between the two villages.

                Thanks in advance.

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                • R Offline
                  raghupavithra
                  last edited by

                  the total surface area of a cube is364cm2. find the volume of the cube.

                  pls help this question

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

                    Hifive:

                    Jack, Sam and Nasim walked at a constant speed of 60 m/min, 70 m/min and 80 m/min respectively. Setting off at the same time, Jack and Sam walked from Village X to Village Y while Nasim walked from Village Y to Village X. Nasim passed Jack 10 minutes after passing Sam. Find the distance between the two villages.
                    Hi Hifive

                    There are two or three ways to go about this question.

                    As in any questions on “Speed”, it’s always useful to draw a diagram and put in the information bit by bit.

                    One neat way is to use the concept of combined speed.

                    Distance ------ Speed*Time

                    Jack and Nasim had a combined speed of 140m/min.
                    Sam and Nasim had a combined speed of 150m/min.

                    Ratio of speed ------- Jack and Nasim: Jack and Sam --------14:15

                    As we know the faster the speed, the lesser the time taken.
                    So their time ratio ------- Jack and Nasim: Jack and Sam --------15:14

                    The difference is 1 unit
                    1 unit ------10 mins

                    Jack will meet Nasim in 150 mins
                    And Jack will meet Sam in 140 mins

                    Hence, distance between the two villages ------ (150*140) or (140*150)

                    The answer is 21000m or 21km.

                    Best wishes

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

                      raghupavithra:
                      the total surface area of a cube is364cm2. find the volume of the cube.

                      pls help this question
                      Hi

                      I assume that students are allowed to use the calculators for your question.

                      A cube has 6 surfaces.
                      Area of 1 surface ------ 364/6 ------ 60.67cm2

                      A cube has equal sides.
                      Length or breadth of 1 side ------- 7.79 (square root of 60.67, use the calculator)

                      Volume of cube ------- L*B*H -------- 7.79*7.79*7.79 --------472.73cm3

                      Best wishes

                      1 Reply Last reply Reply Quote 0
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