Being collaborative

  • Which is bigger?
    problem

    Which is bigger?

    Age
    14 to 16
    Challenge level
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    Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

  • Journeys in Numberland
    problem

    Journeys in Numberland

    Age
    7 to 11
    Challenge level
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    Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

  • The add and take-away path
    problem

    The add and take-away path

    Age
    5 to 7
    Challenge level
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    Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

  • What does random look like?
    problem

    What does random look like?

    Age
    11 to 14
    Challenge level
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    Engage in a little mathematical detective work to see if you can spot the fakes.

  • problem

    Inky cube

    Age
    7 to 14
    Challenge level
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    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • Sociable Cards
    problem

    Sociable cards

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • Curious number
    problem

    Curious number

    Age
    7 to 11
    Challenge level
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    Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

  • Ip Dip
    problem

    Ip dip

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

    "Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

  • Shapely Lines
    problem

    Shapely lines

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

    This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

  • Quad match
    problem

    Quad match

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

    A task which depends on members of the group noticing the needs of others and responding.