Page 29 - 01-Yr5_Front cover-ccp.indd
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31






        m

        a  Any 3 out of 11 , 22, 33, 44, 55, 66,
           77, 88, qq.
        b  Any 3 out of 313, 323, 333, 343,
           353,363,373,383,3q3.
        c  Any 3 out of 1 001 , 1111 , 1221 ,
           1 331 '  1 44 1 '  1 55 1 '  1 661 '  1 771 '
           1881,  1qq1.
        d  Any 3 out of 2002, 2112, 2332,
           2442,2552,2662,2772, 2882,
           2qq2.
                                                                                                                                 Challenge
        [g]                                                                                                                      n =  1 , c = 6, y = 2, f = 8

        a   34       b  ,  135   c     48
           + 43        + 531        +  84     00
            77           666          132
                                              Open: find more 1-step and 2-step            Practical: make digit cards.
                                    + 231
                                      363     palindromic totals. (e.g.  1-step: 245,
                                              302, 2613; 2-step: 358, 558, 34 71)
        d   445      e   731     f    271
           + 544       + 137        +172      ~                                            a  3 + 4 + 6 + 8 + q = 30
            qqq          868         443
                                    + 344     a      5q    b     5q     c      7q          b  3 + 4 + 6 + 8 = 21   3 + 4 + 6 + q = 22  3 + 4 + 8 + q = 24
                                                                                                                 4 + 6 + 8 + q = 27
                                                                                             3 + 6 + 8 + q = 26
                                      787        +   qs      +    q5      +     q7
                                                    154          165           176         c  3+4+6= 13  3+ .4+8= 15  3+4+q= 16  3+6+8= 17  3+6+q= 18
        g    153     h   1264          318       +  451      +  561           671            4 + 6 + 8 =  18  4 + 6 + q = 1 q  4 + 8 + q =  21  6 + 8 + q = 23  3 + 8 + q = 20
           + 351       + 4261       +  813                      726       +   847
            504          5885         1131         605       +  627           748
           + 405                    + 1311       +  506        1353       +   15q5
            qoq                       2442         1111
                                                             + 3531       +  5%1           Open: make different totals using the six digit cards.
             23q                                               4884          7546
           +  q32    Challenge                                            +  6457
             1171                                                           14003
           +  1711   Open: find more palindromic totals where you         + 30041          Open: loop the highest and lowest totals made.
            2882     need more than 2 steps (e.g. 2653, 827).               44044          (Highest total: q8643 +  1 = q8644  Lowest total: q + 8 + 6 + 4 + 3 +  1 = 31 )
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