Page 88 - steps 4b 02.pdf
P. 88

•  Answers 4b  •  •  •  •  •  •  •  •  •  •  •  •  •  •  •  •  •  7

          2                                                     DRM63
                                                                  1 Lothian, N.Irelond, Dyfed, Orkney, London
                                                                  2  Dyfed, Lothian, N.Irelond, Orkney, London
                                                                  3 Orkney, London, Lothian, N.Irelond, Dyfed
                                                                  4  Dyfed, Lothian, N.lreland,London, Orkney
                                                                  5  Orkney, London, Lothian, N.lrelond, Dyfed
                                                                  6  Orkney, London, Lothian, N.Irelond, Dyfed
                                                                2                house
                                                                   species  starting     tit   blackbird  chaffinch   robin
                                                                                sparrow
                                                                   median   4·3   3·3    3·3    2·3    1·7    1·1
                                                                   mode    6·8    7·7    5·4    2·4    4·4    1·5
                                                                   mean    4·7    4·4    3· 1   2· 1   1·7    1·1
                                                                   range   3·8    5· 1   5·4    o-q    4·4    1·0
                                                                3  Open

                                                                DRM64
                                                                    £10   £1   lap   lp   to to I
                                                                    ......   ......   ......   £11 ·10
                                                                    v  v
        DRM60                                                                    v  £11•01
         1          Britain:              United States:            v
                    weight of rubbish     weight of rubbish                 v  v  £10·11
           1 adult                         800kg     0·8t               v  v  v      £1·11
           5 adults   2000 kg   2·0 t     4000kg     4·0t
           1  0 adults  4000 kg   4·0 t   8000kg     8·0t       2   £10   £1   lap   lp   total   £10   £1   lap   lp   total
                                                                   ............   ......   £21·00   vv v      £2·10
        2  paper and cord:  132 kg
           vegetables, etc:  80 kg                                 vv       v        £20·10     vv        v   £2•01
           plastics:      44 kg                                    vv            v  £20·01       v vv         £1•20
           gloss:         36kg
           dust, etc.:    32 kg                                     v vv             £12·00      v       vv  £1•02
           metal:         28kg                                      v       vv       £10·20          vv v     £0•21
           textiles:       8 kg                                     v
           miscellaneous:   40 kg                                               vv  £10·02            v vv  £0·12
                                                                3
        DRM 61                                                      2p    Sp   10p  50p
        2  number of games:
          Australia: 2
          Asia: 2                                                   50p   10p   Sp   2p
          America: 6
           Europe:  14
                                                                    Sp    2p   50p   10p
                                                                                             total value of each line:
        3  a median: 4
                                                                                             67p
           b  mode:  14
                                                                    10p  50p    2p   5p      total value of all  1 O lines:
          c  range:  14 - 2 = 12
                                                                                             £6.70
  e  4  The mean is 24 + 4 = 6.
                                                                DRM65
        DRM62                                                   1                                      amount
        2  a  145          b  357           c  238              cost          shopkeeper's method      tendered  change
             154              375              283                  +Ip      +I Op    +20p    +50p   +£2
             415              537              328              £2·1Q-+  £2·20--+  £2·30--+  £2·50--+  £3--+  £  5   £2·81
                                                                    +2p
                                                                             +2p
             451              573              382              £5·46-+  £5·48--+  £5·50--+  £6--+
                                                                                            +£4
                                                                                      +50p
             514              735              823                  +Ip      +5p      +20p    +50p      £ 10   £4·54
             541              753              832              £4·24--+  £4·25--+  £4·30--+  £4·50--+  £5
            2220 + 6 = 370   3330 + 6 = 555   2886 + 6 = 481
                                                                                                +£5 ! +£10
                                              2+3+8=13
            1+4+5=10         3+5+7=15                                                            £10--+  £20   £15·76
            370 + 10 = 37    555 + 15 = 37    481+13 = 37           +5p      +20p   +£1
                                                               £3·75-+  £3•80-+  £4-+                   £  5   £1·25
        3  Open                                                     +Ip      +20p     +20p   +£2
                                                               £7·5Q--+  £7·60--+  £7·80--+  £8--+      £10   £2·41
        4  With 3 different digits, the answer is always 37.        +2p      +IOp   +£3   +£5   +£10
                                                               £1·88-+  £1•q()-+  £2-+  £5-+  £10-+     £20   £18·12
                                                               2  a  £2·8Q + £2·8Q + £1 ·4Q = £7·27
                                                                  b £2·73






         @ HarperCollinsPublishers Ltd 1997 STEPS 4b Differentiation Pack
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