Conjecturing and generalising

  • Oddly
    problem

    Oddly

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Find the sum of all three-digit numbers each of whose digits is odd.
  • Triangle Pin-Down
    problem

    Triangle Pin-Down

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

    Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

  • Dotty Circle
    problem

    Dotty Circle

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

    Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

  • polygonals
    problem

    Polygonals

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
  • Making Spirals
    problem

    Making Spirals

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

    Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.