Visualising and representing

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem
    Favourite

    Remainders

    Age
    7 to 14
    Challenge level
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    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Drilling many cubes
    problem

    Drilling Many Cubes

    Age
    7 to 14
    Challenge level
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    A useful visualising exercise which offers opportunities for discussion and generalising, and which could be used for thinking about the formulae needed for generating the results on a spreadsheet.

  • Method in multiplying madness?
    problem
    Favourite

    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?

  • problem
    Favourite

    Three Neighbours

    Age
    7 to 14
    Challenge level
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    Take three consecutive numbers and add them together. What do you notice?

  • problem

    St Ives

    Age
    7 to 14
    Challenge level
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    How many were going to St Ives?

  • Auditorium Steps
    problem

    Auditorium Steps

    Age
    7 to 14
    Challenge level
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    What is the shape of wrapping paper that you would need to completely wrap this model?

  • 3D Stacks
    problem

    3D Stacks

    Age
    7 to 14
    Challenge level
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    Can you find a way of representing these arrangements of balls?

  • A colourful cube made from a plastic Polydron net.
    problem

    Air Nets

    Age
    7 to 18
    Challenge level
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    Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

  • A cardboard carton of cherries.
    problem
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    Fruity Totals

    Age
    7 to 16
    Challenge level
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    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • A magician's black top hat and wand.
    problem

    Prime Magic

    Age
    7 to 16
    Challenge level
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    Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?