Conjecturing and generalising

  • I'm Eight
    problem
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    I'm Eight

    Age
    5 to 11
    Challenge level
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    Find a great variety of ways of asking questions which make 8.

  • Nim-7
    problem
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    Nim-7

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Can you work out how to win this game of Nim? Does it matter if you go first or second?
  • Break it up!
    problem
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    Break It Up!

    Age
    5 to 11
    Challenge level
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    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

  • Growing Garlic
    problem
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    Growing Garlic

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

    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • problem
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    Venn Diagrams

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

    How will you complete these interactive Venn diagrams?

  • Holes
    problem

    Holes

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

    I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

  • Strike it out
    problem
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    Strike It Out

    Age
    5 to 11
    Challenge level
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    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Fit These Shapes
    problem

    Fit These Shapes

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
  • Ip Dip
    problem
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    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 ...?

  • Sorting Logic Blocks
    problem
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    Sorting Logic BLOCKS

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

    This activity focuses on similarities and differences between shapes.