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    Tutor MathsGuru: Ask me for your burning Maths questions!

    Scheduled Pinned Locked Moved Primary Schools - Academic Support
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    • D Offline
      Daddy
      last edited by

      Hi Dharma


      Thank you very much for your answers. πŸ˜‰

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

        I have one qn.


        Can someone help me?

        The no. shld be placed in a pyramid form.

        TX

        Row 1 2
        Row 2 4 6 8
        Row 3 10 12 14 16 18
        Row 4 20 22 24 26 28 30 32

        What is the largest no on Row 10?

        288 is the largetst no. in a certain row. Which row is it?

        1 Reply Last reply Reply Quote 0
        • CoffeeCatC Offline
          CoffeeCat
          last edited by

          Herbie:
          I have one qn.


          Can someone help me?

          The no. shld be placed in a pyramid form.

          TX

          Row 1 2
          Row 2 4 6 8
          Row 3 10 12 14 16 18
          Row 4 20 22 24 26 28 30 32

          What is the largest no on Row 10?

          288 is the largetst no. in a certain row. Which row is it?
          if you think about the nature of the number pattern,
          1 + 3 + 5 + 7, ....
          one might be reminded of square numbers because the sum of consecutive odd numbers from 1 is a square number.
          And then notice that the last number of each row is just twice a square number (square of the row number).
          so the largest no in row 10 is 2 times the square of 10 which is 200.

          288 / 2 = 144. sqrt 144 = 12. therefore 288 is the largest number in row 12.

          1 Reply Last reply Reply Quote 0
          • CoffeeCatC Offline
            CoffeeCat
            last edited by

            Herbie:
            I have one qn.


            A man spent 1/5 of his money on clothes and a few sevenths on food.
            He has $152 left. How much did he spend on fooD?

            Tx


            Lets assume he has 35 units of money.
            he spent 7 units on clothes, left 28 units.
            Now he has $152 which equates to a certain whole number units, and we know he will spent a multiple of 5 units on food.
            Because 152 = 8 X 19, the only possible value of units left which equates to 152 is 8 units, with each unit corresponding to $19, because 28-8 units = 20 units a multiple of 5.
            Therefore amount of money spent on food => 20 units = $160

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

              Herbie:
              I have one qn.


              Can someone help me?

              The no. shld be placed in a pyramid form.

              TX

              Row 1 2
              Row 2 4 6 8
              Row 3 10 12 14 16 18
              Row 4 20 22 24 26 28 30 32

              What is the largest no on Row 10?

              288 is the largetst no. in a certain row. Which row is it?
              The pattern lies with the last number.

              row 1 2 +6
              row 2 8 +10
              row 3 18 +14
              row 4 32

              1. the next row's increase is done by adding 4 to the previous row's increase
              2. the next row's last number is done by adding the previous row's last number to the next row's increase
              Therefore in
              row 5, largest number = 32+18=50
              row 6, largest number = 50+22=72
              row 7, largest number = 72+26=98
              row 8, largest number = 98+30=128
              row 9, largest number = 128+34=162
              row 10, largest number = 162+38=200//

              200+42=242 row 11
              242+46=288 row 12//

              this is my mtd, not sure if there is any simpler mtd though....hehe..

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

                singmathstutor:
                Herbie:

                I have one qn.


                Can someone help me?

                The no. shld be placed in a pyramid form.

                TX

                Row 1 2
                Row 2 4 6 8
                Row 3 10 12 14 16 18
                Row 4 20 22 24 26 28 30 32

                What is the largest no on Row 10?

                288 is the largetst no. in a certain row. Which row is it?

                The pattern lies with the last number.

                row 1 2 +6
                row 2 8 +10
                row 3 18 +14
                row 4 32

                1. the next row's increase is done by adding 4 to the previous row's increase
                2. the next row's last number is done by adding the previous row's last number to the next row's increase
                Therefore in
                row 5, largest number = 32+18=50
                row 6, largest number = 50+22=72
                row 7, largest number = 72+26=98
                row 8, largest number = 98+30=128
                row 9, largest number = 128+34=162
                row 10, largest number = 162+38=200//

                200+42=242 row 11
                242+46=288 row 12//
                this is my mtd, not sure if there is any simpler mtd though....hehe..


                Easiest method ... Divide all numbers in pattern by 2

                last nos. In each row will be
                Row 1 = 1
                Row 2 = 4
                Row 3 = 9
                Row 4 = 16
                .
                .
                Row 10 = 100

                Now multiply by 2 ... 100 x 2 = 200

                Now if last no. is 288
                Half it we get 144 ... Square root of 144 is 12

                So , if the last no of a row is 288, the row no is row 12

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

                  Good one Dharma. :idea: Just knew there must be a better way, just couldn't extract more from my brain cells. Haha!!

                  1 Reply Last reply Reply Quote 0
                  • A Offline
                    Almighty
                    last edited by

                    Dharma:
                    singmathstutor:

                    [quote=\"Herbie\"]I have one qn.


                    Easiest method ... Divide all numbers in pattern by 2

                    last nos. In each row will be
                    Row 1 = 1
                    Row 2 = 4
                    Row 3 = 9
                    Row 4 = 16
                    .
                    .
                    Row 10 = 100

                    Now multiply by 2 ... 100 x 2 = 200

                    Now if last no. is 288
                    Half it we get 144 ... Square root of 144 is 12

                    So , if the last no of a row is 288, the row no is row 12

                    [/quote]SUPER DHARMA !!!! πŸ˜„

                    1 Reply Last reply Reply Quote 0
                    • A Offline
                      Almighty
                      last edited by

                      Almighty:
                      Almighty:

                      [quote=\"Almighty\"]Question :5Pattern II -photo print


                      http://www.postimage.org/image.php?v=PqxRqXS

                      Hi MAthmonster,Dharma,Ksi & others......
                      Reposting...If this qt had missed yr eye...Since i posted many qt last night.
                      Pl.try to help me on this too..

                      [/quote]Hi ,

                      This question of mine is still unanswered.Can anyone help? Ans is :242

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

                        Almighty:
                        Almighty:

                        [quote=\"Almighty\"]
                        Hi MAthmonster,Dharma,Ksi & others......
                        Reposting...If this qt had missed yr eye...Since i posted many qt last night.
                        Pl.try to help me on this too..

                        Hi ,

                        This question of mine is still unanswered.Can anyone help? Ans is :242

                        [/quote]
                        Hi Almighty

                        The left most box should be 24 instead of 4. Looks like the '2' is missing.

                        If true then, if u multiply the numbers in the top 2 boxes and subtract the number in the bottom box from the answwer u got earlier, you get 4.

                        Pattern 1 => (24 x 6) - 144 = 4
                        Pattern 2 => (37 x 7) - 241 = 4
                        Pattern 3 => (41 x 6) - ? = 4

                        Missing number = (41 x 6) - 4 = 242

                        1 Reply Last reply Reply Quote 0

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