Visualising and representing

  • Set Square
    problem

    Set Square

    Age
    16 to 18
    Challenge level

    A triangle PQR, right angled at P, slides on a horizontal floor with Q and R in contact with perpendicular walls. What is the locus of P?

  • Stonehenge
    problem

    Stonehenge

    Age
    16 to 18
    Challenge level

    Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

  • Middle Man
    problem

    Middle Man

    Age
    16 to 18
    Challenge level

    Mark a point P inside a closed curve. Is it always possible to find two points that lie on the curve, such that P is the mid point of the line joining these two points?

  • Fitting flat shapes
    problem

    Fitting Flat Shapes

    Age
    16 to 18
    Challenge level
    How efficiently can various flat shapes be fitted together?
  • Curve match
    problem

    Curve Match

    Age
    16 to 18
    Challenge level

    Which curve is which, and how would you plan a route to pass between them?

  • 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.

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