Being resourceful

  • Seven Squares
    problem

    Seven squares

    Age
    11 to 14
    Challenge level
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    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • Temperature
    problem

    Temperature

    Age
    11 to 14
    Challenge level
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    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Always a multiple?
    problem

    Always a multiple?

    Age
    11 to 14
    Challenge level
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    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Unequal Averages
    problem

    Unequal averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

  • Reversals
    problem

    Reversals

    Age
    11 to 14
    Challenge level
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    Where should you start, if you want to finish back where you started?

  • Triangles to Tetrahedra
    problem

    Triangles to tetrahedra

    Age
    11 to 14
    Challenge level
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    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • Cuboids
    problem

    Cuboids

    Age
    11 to 14
    Challenge level
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    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Up and across
    problem

    Up and across

    Age
    11 to 14
    Challenge level
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    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Litov's Mean Value Theorem
    problem

    Litov's mean value theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...