Being resourceful

  • Seven Squares
    problem
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    Seven Squares

    Age
    11 to 14
    Challenge level
    2 out of 3

    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • A blue patchwork quilt draped over a white sofa.
    problem
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    Alison's Quilt

    Age
    11 to 14
    Challenge level
    2 out of 3

    Nine squares are fitted together to form a rectangle. Can you find its dimensions?

  • Temperature
    problem
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    Temperature

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Changing areas, changing volumes
    problem
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    Changing Areas, Changing Volumes

    Age
    11 to 14
    Challenge level
    2 out of 3

    How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

  • Who's the best?
    problem
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    Who's the Best?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Which countries have the most naturally athletic populations?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • What's the weather like?
    problem
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    What's the Weather Like?

    Age
    11 to 14
    Challenge level
    2 out of 3

    With access to weather station data, what interesting questions can you investigate?

  • Quadrilaterals in a Square
    problem
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
    2 out of 3

    What's special about the area of quadrilaterals drawn in a square?

  • Garden Shed
    problem
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    Garden Shed

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you minimise the amount of wood needed to build the roof of my garden shed?

  • Impossibilities
    problem
    Favourite

    Impossibilities

    Age
    11 to 14
    Challenge level
    2 out of 3

    Just because a problem is impossible doesn't mean it's difficult...