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                                      •  Addition trios .  •  •                   •        ••••••••••

                                      Jameela wanted to find the total of 6, 8 and 4.      W  Here are the bits to make four different addition wheels.
                                      She wrote down 6 + 4 + 8 = 18 because she                Decide how to fit the wheels together and draw them.
                                      found this the easiest order to add the numbers.
                                      OJ   Write these in the order you find easiest to add
                                          and find the totals.
                                          a  8,7 and 2   b  9,9 and 1   c  7, 5 and 5
                                          d  6,2 and 8   e  4,7 and 7   f  3,8 and 4
                                      m Copy and complete these by finding the missing numbers.
                                          a  4+7+6= .   b.+9+3=13   c  6+.  +7=17
                                          d  9+8+1 =.  e  8 +.+ 4 = 20   f  .+5+7=19
                                          g  4+.+6=17   h  9+.+6=15   i .+ 3 + 9 = 20
                                                                                             Try to find the answers to m in  your head.
                                                                                           [§]   Work out the change from  £20
                                                                                               if you  buy these:
                                                                                               a  felt tips and computer game
                                                                                               b  cassette and teddy bear
                                                                                               c  computer game and cassette
                                                                                               d  tennis set and teddy bear
                                                                                               e  magic kit and tennis set
                                                                                               f  teddy bear and computer game
                                                                                               g  computer game and magic kit.
                                      IT!   Design addition wheels, each with 18 inside, using these rules.
                                                                                             CHALLENGE
                                          a  Three different even  i-digit numbers on the spokes.
                                          b  Two odd and one even  i-digit numbers on the spokes.   Find and write down sets of keys
                                                                                             to make the calculator display 20.
                                          c  The same number on  every spoke.
                                          d  The number on each spoke can be divided exactly by 3.   DaD a 0 II ____ I  _c--t ul
                                          e  The number on each spoke is a different multiple of 2.
                                          f  One 2-digit number and two i-digit numbers on the spokes.
                                                                                                                                        III


          OJ                       [gJ                      00                              ~
          a  8+2+7= 17             a  4+7+6= 17             Several possibilities           Several possibilities including:
                                                            including:
          b  q+1+q= lq             b  1 +q+3= 13                                             8 + 2 + 6 =  16;  7 + 3 + 5 = 1 5;  q +  1 + q =  1 q;  q + 7 + 4 = 20
                                                            a  4,6,8
          c  5+5+7= 17             c  6 + 4 + 7 =  17
                                                            b  3,7,8                        ~
          d  2+8+6= 16             d  q+8+1= 18
                                                            c  6,6,6                        a  £q            c  £7   d  £13   e  £q   f  £10   g  £6
          e  7+7+4= 18             e  8 + 8 + 4 = 20                                                b  £15
                                                            d  3,6,q
          f  8+4+3= 15             f  7 +5+7= 1q
                                                            e  4,6,8                        Challenge
                                   g  4+ 7 +6= 17
                                                            f  12,2,4
                                   h  q+ O+6=15                                             Order can be varied:
                                      8 + 3 + q = 20                                         q,q,2   q,8,3   q,7,4   q,6,5   8,8,4   8,7,5   8,6,6   7,7,6
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