Explaining, convincing and proving

  • Ring a Ring of Numbers
    problem
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    Ring a ring of numbers

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

    Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

  • Wallpaper
    problem
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    Wallpaper

    Age
    5 to 7
    Challenge level
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    These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

  • A Bag of Marbles
    problem

    A bag of marbles

    Age
    5 to 7
    Challenge level
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    Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?
  • Pairs of legs
    problem

    Pairs of legs

    Age
    5 to 7
    Challenge level
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    How many legs do each of these creatures have? How many pairs is that?

  • What's in a name?
    problem

    What's in a name?

    Age
    5 to 7
    Challenge level
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    Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

  • Shadow Play
    problem
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    Shadow play

    Age
    5 to 7
    Challenge level
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    Here are shadows of some 3D shapes. What shapes could have made them?

  • The Tall Tower
    problem
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    The tall tower

    Age
    5 to 7
    Challenge level
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    As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

  • More Numbers in the Ring
    problem
    Favourite

    More numbers in the ring

    Age
    5 to 7
    Challenge level
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    If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

  • Odd times Even
    problem
    Favourite

    Odd times even

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

    This problem looks at how one example of your choice can show something about the general structure of multiplication.