Conjecturing and generalising

  • Crossings
    problem

    Crossings

    Age
    7 to 11
    Challenge level
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    In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
  • Four Go
    problem
    Favourite

    Four Go

    Age
    7 to 11
    Challenge level
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    This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

  • Light the Lights Again
    problem
    Favourite

    Light the Lights Again

    Age
    7 to 11
    Challenge level
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    Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

  • Button-Up Some More
    problem

    Button-up Some More

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

  • problem
    Favourite

    This Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Walking the squares
    problem

    Walking the Squares

    Age
    7 to 11
    Challenge level
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    Find a route from the outside to the inside of this square, stepping on as many tiles as possible.
  • Six Ten Total
    problem
    Favourite

    Six Ten Total

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    This challenge combines addition, multiplication, perseverance and even proof.

  • Bundles of Cubes
    problem

    Bundles of Cubes

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
  • Truth or Lie
    problem

    Truth or Lie

    Age
    7 to 11
    Challenge level
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    Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

  • Seeing Rhombuses
    problem

    Seeing Rhombuses

    Age
    7 to 11
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.