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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8


There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

Medal Muddle

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

Inspector Morse

Age 11 to 14
Challenge Level

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

              - =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.