Conjecturing and generalising

  • Roman Numerals
    problem
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    Roman Numerals

    Age
    7 to 11
    Challenge level
    1 out of 3

    When are Roman numerals shorter than Arabic numerals for the same number?

  • Satisfying Four Statements
    problem
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    Satisfying Four Statements

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find any two-digit numbers that satisfy all of these statements?

  • Tumbling Down
    problem
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    Tumbling Down

    Age
    7 to 11
    Challenge level
    1 out of 3

    Watch this animation. What do you see? Can you explain why this happens?

  • Dicey Operations in Line
    game
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    Dicey Operations in Line

    Age
    7 to 11
    Challenge level
    1 out of 3

    In these addition, subtraction, multiplication and division games, you'll need to think strategically to get closest to the target.

  • Doplication
    problem
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    Doplication

    Age
    7 to 11
    Challenge level
    1 out of 3

    We can arrange dots in a similar way to the 5 on a dice. What do you notice?

  • A section of a bracelet made of colourful beads.
    problem
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    Bracelets

    Age
    7 to 11
    Challenge level
    1 out of 3

    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • problem
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    Sweets in a Box

    Age
    7 to 11
    Challenge level
    1 out of 3

    How many different shaped boxes can you design for these sweets?

  • Which Scripts?
    problem
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    Which Scripts?

    Age
    7 to 11
    Challenge level
    1 out of 3

    There are six numbers written in five different scripts. Can you sort out which is which?