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    Q&A - PSLE Math

    Scheduled Pinned Locked Moved Primary 6 & PSLE
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    • V Offline
      Vanilla Cake
      last edited by

      tianzhu:
      http://farm5.static.flickr.com/4146/5061961412_3b05b3d38d_b.jpg\">

      Dharma:
      Q17 ( c )

      119 is an odd number.
      We can establish a pattern for the number of rods for Structure Numbers that are odd numbers.

      Structure 1=> 12 rods = (12 x 1) + 0
      Structure 3 => 25 rods = (12 x 2) + 1
      Structure 5 => 38 rods = (12 x 3 ) + 2
      Structure 7 => 51 rods = ( 12 x 4) + 3
      .
      .
      .
      Structure N => [12(N + 1)/2 ] + (N – 1)/2

      So,
      Structure 119 => 12(120/2) + (118/2) = 779 rods
      According to http://www.onsponge.com/forum/35-thinkingmathonsponge/5790-how-did-you-do-psle-math-2010.html?limit=10&start=30#5857, pls refer to the revised numbers as below:

      Structure Number  Number of Rods  Height (cm)\t\t\t\t
      --------------------------------------------------------------\t\t\t\t
                  1                        12                      3\t
                  2                        20                      3\t
                  3                        28                      6\t
                  4                        33                      6\t
                  5                        41                      9\t
                  6                         ?                       ?\t\t
      --------------------------------------------------------------\t\t\t
      a) Fill in the number of of rods and height for structure 6. [1 mark]
      b) Find the height of Structure 119. [2 marks]
      c) Find the number of rods for Structure 119. [2 marks]

      Uncle Tianzhu, could you pls edit or repost the new solution based on the new set of numbers?
      Uncle Dharma, could you also edit or repost the new solution based on the new set of numbers from part (a) to part (c)?

      I think this should be the right set of numbers to arrive correct answers as:
      (a) 46 rods and 9 cm (b) 180 cm (c) 782 rods.

      Thank you to both Uncles for your continued support and time.

      1 Reply Last reply Reply Quote 0
      • G Offline
        GenAzz
        last edited by

        Apologies to disappontyou. Pattern 3 is 28 rods

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

          I’m Jian Rong on onsponge, the place where you got the info, apologies for the mistake.


          It’s 28 rods, followed by 33, 41 then 46.

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

            the kiasu student:
            Can some one post the PSLE 2010 Math MCQ questions? I nid the questions( not answers ) so that i can check hw many marks i got. Pls help me!!!!

            Question 2, a giveaway.
            This question is set simply.
            Which of the following is the largest?

            Without looking at the hundredth and thousandths place, we can already get the answer.

            The one with the 0.2-- is the answer.

            Question 13: The figure below is made up of identical equilateral triangles of sides 3cm. How many triangles will there be if the perimeter of the figure is 93cm?

            The 2 common answers are 29 and 31, (2) and (4) respectively.

            (2) is correct because 93-6=87 87/3=29
            (4) is due to careless because the pupil may have forgotten the 2 ''extra\" 3cm(s) at both ends of the figure.

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

              yongjianrong:
              I'm Jian Rong on onsponge, the place where you got the info, apologies for the mistake.


              It's 28 rods, followed by 33, 41 then 46.
              Hi jianrong

              Good Morning

              You’ve done a great job in coming up with a list of answers and questions after PSLE Maths.

              I must say I am amazed by your ability to remember so much under stressful examination conditions.

              Probably about 50000 students took the test on 7 October 2010.But you are the only one who took the trouble to come up with such a comprehensive list.

              We, in KSP forum, appreciate the extra efforts you put in.

              May you be blessed with a successful PSLE 2010.

              Best wishes

              1 Reply Last reply Reply Quote 0
              • D Offline
                Dharma
                last edited by

                Vanilla Cake:
                tianzhu:

                http://farm5.static.flickr.com/4146/5061961412_3b05b3d38d_b.jpg\">


                Dharma:
                Q17 ( c )

                119 is an odd number.
                We can establish a pattern for the number of rods for Structure Numbers that are odd numbers.

                Structure 1=> 12 rods = (12 x 1) + 0
                Structure 3 => 25 rods = (12 x 2) + 1
                Structure 5 => 38 rods = (12 x 3 ) + 2
                Structure 7 => 51 rods = ( 12 x 4) + 3
                .
                .
                .
                Structure N => [12(N + 1)/2 ] + (N – 1)/2

                So,
                Structure 119 => 12(120/2) + (118/2) = 779 rods
                According to http://www.onsponge.com/forum/35-thinkingmathonsponge/5790-how-did-you-do-psle-math-2010.html?limit=10&start=30#5857, pls refer to the revised numbers as below:

                Structure Number  Number of Rods  Height (cm)\t\t\t\t
                --------------------------------------------------------------\t\t\t\t
                            1                        12                      3\t
                            2                        20                      3\t
                            3                        28                      6\t
                            4                        33                      6\t
                            5                        41                      9\t
                            6                         ?                       ?\t\t
                --------------------------------------------------------------\t\t\t
                a) Fill in the number of of rods and height for structure 6. [1 mark]
                b) Find the height of Structure 119. [2 marks]
                c) Find the number of rods for Structure 119. [2 marks]

                Uncle Tianzhu, could you pls edit or repost the new solution based on the new set of numbers?
                Uncle Dharma, could you also edit or repost the new solution based on the new set of numbers from part (a) to part (c)?

                I think this should be the right set of numbers to arrive correct answers as:
                (a) 46 rods and 9 cm (b) 180 cm (c) 782 rods.

                Thank you to both Uncles for your continued support and time.

                (a)
                To find the number of rods [R] & Height of structure [H]
                Structure 1 ; R = 12 ; H = 3
                Structure 2 ; R = 12 + 8 = 20 ; H = 3
                Structure 3 ; R = 20 + 8 = 28 ; H = 6
                Structure 4 ; R = 28 + 5 = 33 ; H = 6
                Structure 5 ; R = 33 + 8 = 41 ; H = 9
                Structure 6 ; R = 41 + 5 = 46 ; H = 9

                (b)
                Structure No. => Odd
                Structure N => H = (N + 1)/2 x 3
                Structure 119 => (119 + 1)/2 x 3 = 60 x 3 = 180
                Height of Structure 119 = 180cm

                (c)
                Structure No. => Odd
                Structure 3 ; R = 28 + ( 13 X 0 )
                Structure 5 ; R = 28 + ( 13 X 1 )
                Structure 7; R = 28 + ( 13 X 2 )
                .
                .
                .
                Structure N ; R = 28 + [ 13 x (N- 3)/2]
                Structure 119 ; R = 28 + [13 x (119 – 3)/2 ] = 782

                No. of rods for Structure 119 = 782

                1 Reply Last reply Reply Quote 0
                • B Offline
                  baibai06
                  last edited by

                  Dharma:
                  Vanilla Cake:

                  [quote=\"tianzhu\"]http://farm5.static.flickr.com/4146/5061961412_3b05b3d38d_b.jpg\">


                  Dharma:
                  Q17 ( c )

                  119 is an odd number.
                  We can establish a pattern for the number of rods for Structure Numbers that are odd numbers.

                  Structure 1=> 12 rods = (12 x 1) + 0
                  Structure 3 => 25 rods = (12 x 2) + 1
                  Structure 5 => 38 rods = (12 x 3 ) + 2
                  Structure 7 => 51 rods = ( 12 x 4) + 3
                  .
                  .
                  .
                  Structure N => [12(N + 1)/2 ] + (N – 1)/2

                  So,
                  Structure 119 => 12(120/2) + (118/2) = 779 rods
                  According to http://www.onsponge.com/forum/35-thinkingmathonsponge/5790-how-did-you-do-psle-math-2010.html?limit=10&start=30#5857, pls refer to the revised numbers as below:

                  Structure Number  Number of Rods  Height (cm)\t\t\t\t
                  --------------------------------------------------------------\t\t\t\t
                              1                        12                      3\t
                              2                        20                      3\t
                              3                        28                      6\t
                              4                        33                      6\t
                              5                        41                      9\t
                              6                         ?                       ?\t\t
                  --------------------------------------------------------------\t\t\t
                  a) Fill in the number of of rods and height for structure 6. [1 mark]
                  b) Find the height of Structure 119. [2 marks]
                  c) Find the number of rods for Structure 119. [2 marks]

                  Uncle Tianzhu, could you pls edit or repost the new solution based on the new set of numbers?
                  Uncle Dharma, could you also edit or repost the new solution based on the new set of numbers from part (a) to part (c)?

                  I think this should be the right set of numbers to arrive correct answers as:
                  (a) 46 rods and 9 cm (b) 180 cm (c) 782 rods.

                  Thank you to both Uncles for your continued support and time.

                  (a)
                  To find the number of rods [R] & Height of structure [H]
                  Structure 1 ; R = 12 ; H = 3
                  Structure 2 ; R = 12 + 8 = 20 ; H = 3
                  Structure 3 ; R = 20 + 8 = 28 ; H = 6
                  Structure 4 ; R = 28 + 5 = 33 ; H = 6
                  Structure 5 ; R = 33 + 8 = 41 ; H = 9
                  Structure 6 ; R = 41 + 5 = 46 ; H = 9

                  (b)
                  Structure No. => Odd
                  Structure N => H = (N + 1)/2 x 3
                  Structure 119 => (119 + 1)/2 x 3 = 60 x 3 = 180
                  Height of Structure 119 = 180cm

                  (c)
                  Structure No. => Odd
                  Structure 3 ; R = 28 + ( 13 X 0 )
                  Structure 5 ; R = 28 + ( 13 X 1 )
                  Structure 7; R = 28 + ( 13 X 2 )
                  .
                  .
                  .
                  Structure N ; R = 28 + [ 13 x (N- 3)/2]
                  Structure 119 ; R = 28 + [13 x (119 – 3)/2 ] = 782

                  No. of rods for Structure 119 = 782[/quote]
                  actually i did it this way

                  theres a formula for any odd numbered figure that is higher than 1 eg. picture3,5,7,9 etc.

                  the formula is: 6.5n+8.5

                  where n is the number of the odd numbered figure that is higher than 1

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

                    Hi VC


                    I believe there are diagrams provided in Q17.

                    The first slide helps to explain the addition of rods to form the structures.

                    Hope this helps.

                    Best wishes.

                    http://farm5.static.flickr.com/4152/5064543276_48eb65032a_b.jpg\">

                    http://farm5.static.flickr.com/4087/5063710027_2d395557a8_b.jpg\">

                    1 Reply Last reply Reply Quote 0
                    • V Offline
                      Vanilla Cake
                      last edited by

                      tianzhu:
                      Hi VC


                      I believe there are diagrams provided in Q17.

                      The first slide helps to explain the addition of rods to form the structures.

                      Hope this helps.

                      Best wishes.
                      Hi Uncle Tianzhu,

                      Yes, it really helps a lot! Thanks and you must have spent quite some time drawing out these figures and presenting them.

                      As you are aware that not all the past years' PSLE Maths questions are available in the published 5-year series, that's why I am compiling the questions and solutions for PSLE Maths 2010 exam from online forums/discussions..

                      My younger sister shuddered to think of facing a daunting/difficult PSLE Maths 2011 exam that caused her blood to run cold and send shivers down her spine.She definitively has to put in more effort to pull through.
                      😢

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

                        Vanilla Cake:

                        Yes, it really helps a lot! Thanks and you must have spent quite some time drawing out these figures and presenting them.

                        As you are aware that not all the past years' PSLE Maths questions are available in the published 5-year series, that's why I am compiling the questions and solutions for PSLE Maths 2010 exam from online forums/discussions..
                        Hi VC

                        Good Morning.

                        You’re welcome. I am glad you liked it.

                        Yes, it took some time; my wife complained I looked more at the MD than at her.

                        Your compilation of past years questions may be very useful for future kiasu kids, maybe you could call it ----- Vanilla Cake’s way to excel in PSLE Maths.

                        Don’t worry too much, your sister should do well next year.

                        Best wishes

                        1 Reply Last reply Reply Quote 0

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