Combinatorics

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    article

    Binomial coefficients

    An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
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    problem

    A fine thing?

    Age
    16 to 18
    Challenge level
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    Second challenge cipher
  • Stage 5 Cipher Challenge
    problem

    Stage 5 cipher challenge

    Age
    16 to 18
    Challenge level
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    Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?
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    problem

    Ip?

    Age
    16 to 18
    Challenge level
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    Seventh challenge cipher
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    problem

    Up a semitone?

    Age
    16 to 18
    Challenge level
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    Fifth challenge cipher
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    problem

    Semicircle

    Age
    16 to 18
    Challenge level
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    Fourth challenge cipher
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    problem

    Vital?

    Age
    16 to 18
    Challenge level
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    Third challenge cipher
  • Molecular sequencer
    problem

    Molecular sequencer

    Age
    14 to 18
    Challenge level
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    Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.
  • Even Squares
    problem

    Even squares

    Age
    11 to 14
    Challenge level
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    Can you find squares within a number grid whose entries add up to an even total?