Visualising and representing

  • Succession in Randomia
    problem

    Succession in Randomia

    Age
    16 to 18
    Challenge level

    By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

  • Coordinated crystals
    problem

    Coordinated Crystals

    Age
    16 to 18
    Challenge level

    Explore the lattice and vector structure of this crystal.

  • Mach Attack
    problem

    Mach Attack

    Age
    16 to 18
    Challenge level

    Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

  • Polygon walk
    problem

    Polygon Walk

    Age
    16 to 18
    Challenge level

    Go on a vector walk and determine which points on the walk are closest to the origin.

  • Paintbrush and different coloured watercolour paint blocks.
    problem

    Painting by Numbers

    Age
    16 to 18
    Challenge level

    How many different colours of paint would be needed to paint these pictures by numbers?

  • Painting by functions
    problem

    Painting by Functions

    Age
    16 to 18
    Challenge level

    Use functions to create minimalist versions of works of art.

  • Thinking Mathematically - Short Problems
    problem

    Quick Sum

    Age
    16 to 18
    Challenge level

    Is this surd sum exactly 3?

  • Calculus analogies
    problem

    Calculus Analogies

    Age
    16 to 18
    Challenge level

    Consider these analogies for helping to understand key concepts in calculus.

  • Placeholder: several colourful numbers
    problem

    Speedo

    Age
    16 to 18
    Challenge level

    Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

  • Polar Bearings
    problem

    Polar Bearings

    Age
    16 to 18
    Challenge level

    What on earth are polar coordinates, and why would you want to use them?

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