Conjecturing and generalising

  • Share Bears
    problem
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    Share Bears

    Age
    5 to 7
    Challenge level
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    Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

  • Clapping Times
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    Clapping Times

    Age
    5 to 7
    Challenge level
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    If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

  • I Like ...
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    I Like ...

    Age
    5 to 7
    Challenge level
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    Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

  • Our Numbers
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    Our Numbers

    Age
    5 to 7
    Challenge level
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    These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

  • Shapely Lines
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    Shapely Lines

    Age
    5 to 7
    Challenge level
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    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?

  • The add and take-away path
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    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 was in the Box?
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    What Was in the Box?

    Age
    5 to 7
    Challenge level
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    This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

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    Poly Plug Pattern

    Age
    5 to 7
    Challenge level
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    Create a pattern on the small grid. How could you extend your pattern on the larger grid?

  • What's happening?
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    What's Happening?

    Age
    5 to 7
    Challenge level
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    Shapes are added to other shapes. Can you see what is happening? What is the rule?

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    Two Numbers Under the Microscope

    Age
    5 to 7
    Challenge level
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    This investigates one particular property of number by looking closely at an example of adding two odd numbers together.