Visualising and representing

  • Your number is...
    problem
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    Your Number Is...

    Age
    7 to 14
    Challenge level
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    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • The Number Jumbler
    problem
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    The Number Jumbler

    Age
    7 to 14
    Challenge level
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    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • Number Lines in Disguise
    problem
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    Number Lines in Disguise

    Age
    7 to 14
    Challenge level
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    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

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

  • Method in multiplying madness?
    problem
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    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
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    Three Neighbours

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

  • 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?

  • Isometric Areas
    problem
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    Isometric Areas

    Age
    11 to 14
    Challenge level
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    We usually use squares to measure area, but what if we use triangles instead?

  • Days and Dates
    problem
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    Days and Dates

    Age
    11 to 14
    Challenge level
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    Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

  • Blue and White
    problem
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    Blue and White

    Age
    11 to 14
    Challenge level
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    Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?