Working systematically

  • River Crossing
    problem

    River Crossing

    Age
    11 to 18
    Challenge level
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    There is nothing half so much worth doing as simply messing about in boats...
  • crossing the bridge
    problem
    Favourite

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Four coloured wooden cubes balanced precariously to make a tower.
    problem

    Instant Insanity

    Age
    11 to 18
    Challenge level
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    Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.

  • LOGO Challenge - Pentagram Pylons
    problem

    Logo Challenge - Pentagram Pylons

    Age
    11 to 18
    Challenge level
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    Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?

  • LOGO Challenge - Sequences and Pentagrams
    problem

    Logo Challenge - Sequences and Pentagrams

    Age
    11 to 18
    Challenge level
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    Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

  • LOGO Challenge - Following on
    problem

    Logo Challenge - Following On

    Age
    11 to 18
    Challenge level
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    Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

  • Chances are
    problem
    Favourite

    Chances Are

    Age
    14 to 16
    Challenge level
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    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • Smith and Jones
    problem

    Smith and Jones

    Age
    14 to 16
    Challenge level
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    Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!

  • The Better Choice
    problem
    Favourite

    The Better Choice

    Age
    14 to 16
    Challenge level
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    Here are two games you can play. Which offers the better chance of winning?

  • Warmsnug Double Glazing
    problem
    Favourite

    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?