Exploring and noticing

  • Follow the numbers
    problem
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    Follow the Numbers

    Age
    7 to 11
    Challenge level
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    What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

  • Area and perimeter
    problem
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    Area and Perimeter

    Age
    7 to 11
    Challenge level
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    What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

  • Bryony's Triangle
    problem
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    Bryony's Triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Jumping
    problem
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    Jumping

    Age
    7 to 11
    Challenge level
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    After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

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    Fifteen Cards

    Age
    7 to 11
    Challenge level
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    Can you use the information to find out which cards I have used?

  • problem
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    The Domesday Project

    Age
    7 to 11
    Challenge level
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    Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

  • problem
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    Birdwatch

    Age
    7 to 11
    Challenge level
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    Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

  • problem
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    Our Sports

    Age
    7 to 11
    Challenge level
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    This problem explores the range of events in a sports day and which ones are the most popular and attract the most entries.

  • Domino sets
    problem
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    Domino Sets

    Age
    7 to 11
    Challenge level
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    How do you know if your set of dominoes is complete?

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?