Conjecturing and generalising

  • problem

    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.

  • Magic Letters
    problem

    Magic letters

    Age
    11 to 14
    Challenge level
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    Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

  • Speedy summations
    problem

    Speedy summations

    Age
    16 to 18
    Challenge level
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    Watch the video to see how to add together an arithmetic sequence of numbers efficiently.

  • What's happening?
    problem

    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?

  • Steps to the Podium
    problem

    Steps to the podium

    Age
    7 to 14
    Challenge level
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    It starts quite simple but great opportunities for number discoveries and patterns!
  • Method in multiplying madness?
    problem

    Method in multiplying madness?

    Age
    7 to 14
    Challenge level
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    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

  • polygonals
    problem

    Polygonals

    Age
    7 to 11
    Challenge level
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    Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?

  • problem

    Class 5's names

    Age
    7 to 11
    Challenge level
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    Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

  • problem

    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?