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Inspector Morse

Age 11 to 14
Challenge Level Yellow star
  • Problem
  • Getting Started
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This problem suited those of you who were very careful... and some of you made errors along the way ...

Tom and Joseph from D.A.P.S. demonstrate the value of close collaboration:

"Our problem was to find out the units of time in the sentence that had to be decoded - Codes and hidden meanings. The way we solved this problem: we compared our notes and found an answer that we both agreed on. Joseph's method was: a space between letters is three units of time, a space between words are seven units of time, a dah (a line-) is three units of time and a dot is one unit of time. First you add the units of time together to get the first number, then you add the three units of time for each space between letters, and at the end of each word you add seven units of time. Tom's method was to count all the spaces (there were 18 and there were 3 spaces between the words) so the next thing I did was to count the units of time in the letters. My answer was 166 units of time. Me and Joseph compared notes and we got the answer 166."

Jakob Plant, Ryan Campbell and Thomas Jewitt from Dauntsey's Aided Primary School set out their work very clearly:

 c    o    d    e    s
 -.-. ---  -..  .   ...                   = 38 Units (including 3 units between letters)
      				          = 7 units  (7 units between each word)
 a    n    d                            
  .-   -.   -..                           = 19 units 
                                          = 7 units
 h    i    d    d    e    n           
 .... ..   -..  -..  .    -.              = 36 units
                                          = 7 units
 m    e    a    n    i    n    g    s  
 --   .    .-   -.   ..   -.   --.  ...   = 52 units

                                          = 166 units

             KEY
              - =3 units
              . =1 units
              gap between words = 7 units
              gap between letters = 3 units

One of them added: "First I worked out the message in Morse code. I next worked out how many units there were in each word. Then I added up the units in the gaps. Next I added up the totals from each word and then I added the units from between the words and I got 166 units."

Well done to you all.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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