Page 88 - 01-Yr5_Front cover-ccp.indd
P. 88

RESOURCE MASTER 57                                              RESOURCE MASTER 58                             RESOURCE MASTER 5q

        DJ-~                                                            DJ                  [gJ                  00                    DJ               [gJ

        Practical: investigate the fewest moves needed to move          a  £0-q2             a  £4·50            a  £7·02               a  22%          a  220ml
        cubes from one spike to another, using given rules.
                                                                        b  68g               b  126g             b  3%g                 b  72%          b  720ml
                                                                        c  0·3m              c  0·75m            c  6-48m               c  47%          c  470ml

                                                                                                                                        d  10%          d  100ml
         Number of beads  1   2   3    4   5   6   7   8    q   10      ~                   [ID                  [ID
         Fewest moves     1   3   7    15  31  63  127  255  511  1023   300g                10ml                a  £0·17               e  53%          e  520ml
                                                                                                                                        f  80%          f  800ml
                                                                                                                 b  24g

                                                                                                                 c  0·5m               00
        Open: explaining the pattern found.
                                                                                                                                        a  75%; 750ml
                                                                        [I]                 ~                    ~                      b  45%; 450ml

                                                                        a  £1·75            575ml                Either, they
        Two possible formulae:                                                                                   both amount            c  65%; 650ml
                                                                        b  0·525g
        f = 2p +  1 , where f is the fewest moves and p is the previous                                          to the same.           d  15%;  150ml
        number of moves.                                                c  350m
                                                                                                                                        e  85%; 850ml
        f = 2n - 1, where f is the fewest moves and n is the number of
        beads.
                                                                                                                                       ~
                                                                                                                                        Open: draw containers with
                                                                                                                                        liquid inside and estimate
                                                                                                                                        amount at a percentage of
                                                                                                                                       the total capacity.



                                                                                                                                         RESOURCE MASTER 61

                                                                                                                                       Open: drawing conclusions
                                                                                                                                       from a percentage bar
                                                                                                                                       chart.
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