Being resourceful

  • Reversals
    problem
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    Reversals

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

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Snappy Statements

    Age
    11 to 14
    Challenge level
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    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Triangles to Tetrahedra
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    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
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    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
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    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
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    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
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    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...

  • A Chance to Win?
    problem
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    A Chance to Win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Which solids can we make?
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    Which Solids Can We Make?

    Age
    11 to 14
    Challenge level
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    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • Square It
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    Square It

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.