Page 38 - 04MATY4 318 STEwsh DRM_Neat
P. 38

Sharing the cost                                 •  Distance and direction •
                                                                                              ~~
                                                                                              •  'tr  •
                                                                                                                                    • ••
                                                                                               a  Put a counter on  point (2,3) on the grid   . +.
                                                                                                On  RM98.
                                                                                                                             : .~ .
                                                                                               b  Slide it 5 points East (5E)
                                                                                                then 3 paints North (3N).
                                                                                                                              23  ,


                                                                                           @J   Slide the counter 5E then 3N starting on these paints.
                                                                                               Write where you finish each time.
                                                                                               a  (1 ,1)   b  (5,2)   c  (4,7)   d  (5,6)
                                                                                               e  (3,3)   f  (0,7)   9  (2,0)   h  (0,0)
                                                                                           II]  Start on point (5,6) each time.
                                                                                               Write where you finish if you  slide the counter like this.
                                          Use coins and notes. Find the cost  of 1 of each of these.   a  5W then 2S   b  4N then 4E   c  4E then 6S   d  3S then 5W
                                                                                               e  2E then 4N   f  2N then 3W   g  6S then 5W   h  4N then 4E
                                          a  kiwi fruit   b  mangoes   c  apples   d  pears
                                          e  grapefruit   f  bananas   g  oranges   h  pomegranates
                                      @J   At the end of the day some fruit was sold at half price.   CHALLENGE
                                          What was the new price of:
                                                                                             •  Always start with your counter
                                          a  10 kiwi fruit   b  3 apples   c  4 bananas   d  4 pomegranates?   on point (5,5).
                                                                                             •  Slide the counter N,  S, E or W
                                                                                              to a  new position 5 paints away .
                                        • Get £2 .40 in  notes and coins.
                                         Investigate ways to shore the amount between  2,3,4,5,6 ...  up to 12 people.   •  List the co-ordinates of all the new  2
                                                                                              positions the counter can finish on.  1
                                        . Which  'shorings' have coins left over?  •  Make a chart of what you find out.


          rn                                                                                 rn                       [!]                      [!]


          a  15p   b  SSp   c  30p   d  32p   e  40p   f  25p   g  25p   h  SSp              Practical: checking      a  (6,4)   b  (10,5)     a  (0,4)   b  (q,10)
                                                                                             movement on RM  qS.      c  (q, 1 0)   d  (10,q)   c  (q,O)   d  (0,3)
          [!]                                                                                                         e  (S,6)   f  (5,10)     e  (7,10)   f  (2,S)
                                     d  £1·1 °                                                                        g  (7,3)   h  (5,3)      g  (0,0)   h  (q,10)
          a  75p   b 45p    c  SOp

          Challenge                                                                          Challenge

           People      2     3    4     5     6    7     S     q    10    11   12            (1,6)  (2,7)  (3,S)  (4,Q)  (5,10)  (6,Q)  (7,S)  (S,7)  (Q,6)  (10,5)
                                                                                             (Q,4)  (S,3)  (7,2)  (6,1)  (5,0)  (4,1)  (3,2)  (2,3)  (1,4)  (0,5)
          each share  £1·20  SOp  60p  4Sp  40p  34p  30p  26p  24p  21p  20p
           left over   -     -    -     -     -    2p    -     6p  -      qp    -
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