Conjecturing and generalising

  • Dotty Circle
    problem

    Dotty Circle

    Age
    7 to 11
    Challenge level
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    Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
  • Super Computer
    problem

    Super Computer

    Age
    14 to 16
    Challenge level
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    What is the units digit of the given expression?
  • Always, Sometimes or Never? KS1
    problem
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    Always, sometimes or never? KS1

    Age
    5 to 7
    Challenge level
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    Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

  • Next-door Numbers
    problem

    Next-door Numbers

    Age
    5 to 7
    Challenge level
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    Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
  • Let's Investigate Triangles
    problem
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    Let's Investigate Triangles

    Age
    5 to 7
    Challenge level
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    Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

  • What's in a Name?
    problem
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    What's in a Name?

    Age
    5 to 7
    Challenge level
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    What do you notice about these squares of numbers? What is the same? What is different?

  • 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
    problem
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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?

  • Logic Block Collections
    problem

    Logic Block Collections

    Age
    5 to 7
    Challenge level
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    What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?
  • I Like ...
    problem
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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?