Conjecturing and generalising

  • Strike it out
    problem
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    Strike It Out

    Age
    5 to 11
    Challenge level
    1 out of 3

    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Ip Dip
    problem
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    Ip Dip

    Age
    5 to 11
    Challenge level
    1 out of 3

    "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
    1 out of 3

    This activity focuses on similarities and differences between shapes.

  • Sitting round the party tables
    problem
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    Sitting Round the Party Tables

    Age
    5 to 11
    Challenge level
    1 out of 3

    Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

  • Largest Even
    problem
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    Largest Even

    Age
    5 to 11
    Challenge level
    1 out of 3

    How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

  • Dicey Addition
    problem
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    Dicey Addition

    Age
    5 to 11
    Challenge level
    1 out of 3

    In these addition games, you'll need to think strategically to get closest to the target.

  • Seeing Squares
    problem
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    Seeing Squares

    Age
    5 to 11
    Challenge level
    1 out of 3

    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 square.

  • Carroll Diagrams
    problem
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    Carroll Diagrams

    Age
    5 to 11
    Challenge level
    1 out of 3

    Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

  • problem
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    Poly Plug Rectangles

    Age
    5 to 11
    Challenge level
    1 out of 3

    The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

  • Take three numbers
    problem
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    Take Three Numbers

    Age
    5 to 11
    Challenge level
    1 out of 3

    What happens when you add three numbers together? Will your answer be odd or even? How do you know?