Regular polygons and circles

  • What Shape and Colour?
    problem

    What Shape and Colour?

    Age
    5 to 7
    Challenge level
    1 out of 3

    Can you fill in the empty boxes in the grid with the right shape and colour?

  • Part the Polygons
    problem

    Part the Polygons

    Age
    7 to 11
    Challenge level
    1 out of 3
    Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
  • Circle Panes
    problem

    Circle Panes

    Age
    7 to 11
    Challenge level
    1 out of 3
    Look at the mathematics that is all around us - this circular window is a wonderful example.
  • Sports Equipment
    problem

    Sports Equipment

    Age
    7 to 11
    Challenge level
    1 out of 3
    If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
  • Circular Area
    problem

    Circular Area

    Age
    7 to 11
    Challenge level
    1 out of 3

    How could you find out the area of a circle? Take a look at these ways.

  • Hexagon Transformations
    problem

    Hexagon Transformations

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

  • Shapely Tiling
    problem

    Shapely Tiling

    Age
    7 to 11
    Challenge level
    2 out of 3
    Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
  • Shaping Up
    problem

    Shaping Up

    Age
    7 to 11
    Challenge level
    2 out of 3
    Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
  • A green clock with yellow and white hands.
    problem

    Clock Hands

    Age
    7 to 11
    Challenge level
    3 out of 3

    This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

  • Yin Yang
    problem

    Yin Yang

    Age
    7 to 11
    Challenge level
    3 out of 3
    Can you reproduce the Yin Yang symbol using a pair of compasses?