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On Friday we worked on the necklaces problem in our maths group. We used some different coloured counting blocks (unifix) to make symmetrical patterns of 8 blocks with 2 colours. We figured out that with those blocks we could make 6 different combinations that were symmetrical (see picture).
And then we figured out that it didn't matter if you cut half of it off because they are symmetrical, so the halves are exactly the same.
We found 6 different towers of 4 blocks (two of each colour) (see at the bottom of the photo). So therefore there are 6 possible ways you can do it.

from Lyneham Primary Junior Maths Challenge Group (LPJMCG)