Being resourceful

  • Cubes within Cubes
    problem
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    Cubes Within Cubes

    Age
    7 to 14
    Challenge level
    3 out of 3

    We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

  • Ten Hidden Squares
    problem
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    Ten Hidden Squares

    Age
    7 to 14
    Challenge level
    3 out of 3

    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • problem
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    Inky Cube

    Age
    7 to 14
    Challenge level
    3 out of 3

    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • A cardboard carton of cherries.
    problem
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    Fruity Totals

    Age
    7 to 16
    Challenge level
    1 out of 3

    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • Xavi's T-shirt
    problem
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    Xavi's T-Shirt

    Age
    7 to 16
    Challenge level
    1 out of 3

    How much can you read into a T-shirt?

  • Baravelle
    problem
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    Baravelle

    Age
    7 to 16
    Challenge level
    2 out of 3

    What can you see? What do you notice? What questions can you ask?

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
    3 out of 3

    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Polygon Pictures
    problem
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    Polygon Pictures

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

  • Almost One
    problem
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    Almost One

    Age
    11 to 14
    Challenge level
    1 out of 3

    Choose some fractions and add them together. Can you get close to 1?

  • Pocket money
    problem
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    Pocket Money

    Age
    11 to 14
    Challenge level
    1 out of 3

    Which of these pocket money systems would you rather have?