Working systematically

  • More and More Buckets
    problem

    More and More Buckets

    Age
    7 to 11
    Challenge level

    In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

  • Building with rods
    problem

    Building With Rods

    Age
    7 to 11
    Challenge level

    In how many ways can you stack these rods, following the rules?

  • Crossing the Town Square
    problem

    Crossing the Town Square

    Age
    7 to 11
    Challenge level

    This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.

  • Cover the tray
    problem

    Cover the Tray

    Age
    7 to 11
    Challenge level

    These practical challenges are all about making a 'tray' and covering it with paper.

  • The Dice Train
    problem

    The Dice Train

    Age
    7 to 11
    Challenge level

    This dice train has been made using specific rules. How many different trains can you make?

  • A gold star hanging ornament.
    game

    Twinkle Twinkle

    Age
    7 to 14
    Challenge level

    A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

  • Neighbourly Addition
    problem

    Neighbourly Addition

    Age
    7 to 14
    Challenge level

    I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

  • Water lily and lily pads.
    problem

    Latin Lilies

    Age
    7 to 14
    Challenge level

    In this game you are challenged to gain more columns of lily pads than your opponent.

  • Charitable Pennies
    problem

    Charitable Pennies

    Age
    7 to 14
    Challenge level

    Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

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