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    Hi TSR,

    I'm reading some books ready to start my Secondary Maths PGCE and I've come across a puzzle that I can't quite work out. I've attached a picture of the puzzle and the end of chapter guidance.

    I think I gave worked it out, but I'm not 100% sure and I don't know if I've now been looking at it for so long that I've just overcomplicated it now in head.

    Can anyone help? It's getting on my nerves that I don't know if I've done it right or not 😂 I got 40 ways to write Maths.
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    (Original post by EvaStarshine)
    Hi TSR,

    I'm reading some books ready to start my Secondary Maths PGCE and I've come across a puzzle that I can't quite work out. I've attached a picture of the puzzle and the end of chapter guidance.

    I think I gave worked it out, but I'm not 100% sure and I don't know if I've now been looking at it for so long that I've just overcomplicated it now in head.

    Can anyone help? It's getting on my nerves that I don't know if I've done it right or not 😂 I got 40 ways to write Maths.
    I got 60.

    Work through the letters of MATHS consecutively building up M, MA, MAT, etc.

    At each stage, for each letter on the diagram, write in the number of paths going to the final letter in that stage. You should notice a pattern that the book hints at.
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    (Original post by ghostwalker)
    I got 60.

    Work through the letters of MATHS consecutively building up M, MA, MAT, etc.

    At each stage, for each letter on the diagram, write in the number of paths going to the final letter in that stage. You should notice a pattern that the book hints at.
    I'm still not seeing it 🙈 I've always been awful at this sort of thing, think I'm missing some of the possible paths. I had tried building up the earlier letters, but again I'm either missing paths or just completely blind to what's happening 😂

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    (Original post by EvaStarshine)
    I'm still not seeing it 🙈 I've always been awful at this sort of thing, think I'm missing some of the possible paths. I had tried building up the earlier letters, but again I'm either missing paths or just completely blind to what's happening 😂

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    You have it correctly, so far.

    What I was suggesting is to write the number of paths on each letter of the diagram.

    I've put the numbers in so far for you - see attached; you may need to download and expand it to see it clearly.

    You just need to add the letter "S" now.

    The method is, for example (see block in red), if you have an H, and there are two paths going into it from T's, and the number of paths through one T is 2, and the number through the other T is 1, then the number through that particular H is 1+2=3. And we assign "3" to that H.

    And when you've done add up all the numbers assigned to the S's.

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