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DIY Challenge 3: Where a 7x7 tour can start and end

Below is a 7×7 chessboard. It is given that a knight’s tour is possible for this grid! Can you say anything about the starting or the ending positions?

Which coloured square should we start from – White or Black? Which colour will we end at? Why do think so?

What students worked out7

  • Student 7

    IF WE START ON *W* WE WILL END ON *W*

  • Student 7

    IF WE START ON *B* WE WILL END ON *B*

  • Student 3

    if we start at white we will end at black
    as there are 25 white and 24 black

  • Student 2

    start at white
    end at black

  • Student 2

    my answer pt2

  • Student 1

    I think we cannot cover the whole board and always at least 1 square will always remain

  • Student 4

    If we start on ⚫, we will end on ⚪. If we start on ⚪, we will end on ⚫