Exploring and noticing

  • Dating made Easier
    problem
    Favourite

    Dating Made Easier

    Age
    14 to 16
    Challenge level
    3 out of 3

    If a sum invested gains 10% each year how long before it has doubled its value?

  • Partly Circles
    problem
    Favourite

    Partly Circles

    Age
    14 to 16
    Challenge level
    3 out of 3

    What is the same and what is different about these circle questions? What connections can you make?

  • Intersections
    problem
    Favourite

    Intersections

    Age
    14 to 18
    Challenge level
    1 out of 3

    Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

  • Vector walk
    problem
    Favourite

    Vector Walk

    Age
    14 to 18
    Challenge level
    1 out of 3

    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Vector journeys
    problem
    Favourite

    Vector Journeys

    Age
    14 to 18
    Challenge level
    1 out of 3

    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • Which spinners?
    problem
    Favourite

    Which Spinners?

    Age
    14 to 18
    Challenge level
    1 out of 3

    Can you work out which spinners were used to generate the frequency charts?

  • Trapezium made of wooden tangram pieces, including a square and a parallelogram.
    problem
    Favourite

    Quad in Quad

    Age
    14 to 18
    Challenge level
    2 out of 3

    Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

  • Exploring cubic functions
    problem
    Favourite

    Exploring Cubic Functions

    Age
    14 to 18
    Challenge level
    2 out of 3

    Quadratic graphs are very familiar, but what patterns can you explore with cubics?

  • Negative 3 to the power of negative 3.
    problem
    Favourite

    Negative Powers

    Age
    14 to 18
    Challenge level
    2 out of 3

    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • Back fitter
    problem
    Favourite

    Back Fitter

    Age
    14 to 18
    Challenge level
    2 out of 3

    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?