Exploring and noticing

  • Cover the Camel
    problem

    Cover the camel

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Can you cover the camel with these pieces?

  • Litov's Mean Value Theorem
    problem

    Litov's mean value theorem

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

  • Up and across
    problem

    Up and across

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    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.

  • Speeding up, slowing down
    problem

    Speeding up, slowing down

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • How far does it move?
    problem

    How far does it move?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

  • Two Clocks
    problem

    Two clocks

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    These clocks have only one hand, but can you work out what time they are showing from the information?

  • Mixing Paints
    problem

    Mixing paints

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Can you work out how to produce different shades of pink paint?

  • Little Man
    problem

    Little man

    Age
    5 to 7
    Challenge level
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    The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

  • Spinners
    problem

    Spinners

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    How do scores on dice and factors of polynomials relate to each other?
  • Triangle in a Triangle
    problem

    Triangle in a triangle

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Can you work out the fraction of the original triangle that is covered by the inner triangle?