Algorithms

  • X marks the spot
    problem

    X marks the spot

    Age
    11 to 14
    Challenge level
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    When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .
  • Stretching Fractions
    problem

    Stretching fractions

    Age
    14 to 16
    Challenge level
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    Imagine a strip with a mark somewhere along it. Fold it in the middle so that the bottom reaches back to the top. Stetch it out to match the original length. Now where's the mark?
  • The best square
    problem

    The best square

    Age
    16 to 18
    Challenge level
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    How would you judge a competition to draw a freehand square?
  • Placeholder: several colourful numbers
    problem

    Vital?

    Age
    16 to 18
    Challenge level
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    Third challenge cipher
  • Placeholder: several colourful numbers
    problem

    Semicircle

    Age
    16 to 18
    Challenge level
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    Fourth challenge cipher
  • Placeholder: several colourful numbers
    problem

    Up a semitone?

    Age
    16 to 18
    Challenge level
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    Fifth challenge cipher
  • Placeholder: several colourful numbers
    problem

    Ip?

    Age
    16 to 18
    Challenge level
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    Seventh 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?
  • Placeholder: several colourful numbers
    problem

    A fine thing?

    Age
    16 to 18
    Challenge level
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    Second challenge cipher