Regular polygons and circles

  • A green clock with yellow and white hands.
    problem

    Clock Hands

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

    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
    filled star filled star filled star
    Can you reproduce the Yin Yang symbol using a pair of compasses?
  • LOGO Challenge 1 - Star Square
    problem

    Logo Challenge 1 - Star Square

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

    Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

  • LOGO Challenge 9 - Overlapping Polygons
    problem

    Logo Challenge 9 - Overlapping Polygons

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

    This LOGO challenge starts by looking at 10-sided polygons then generalises the findings to any polygon, putting particular emphasis on external angles

  • First Forward Into Logo 2: Polygons
    problem

    First Forward Into Logo 2: Polygons

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

    This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

  • First Forward into Logo 4: Circles
    problem

    First Forward Into Logo 4: Circles

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

    Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

  • Gibraltar Geometry
    problem

    Gibraltar Geometry

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
  • Shogi shapes
    problem

    Shogi Shapes

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

    Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?

  • Coins on a Plate
    problem

    Coins on a Plate

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

    Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.

  • Central Distance
    problem

    Central Distance

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

    Weekly Problem 1 - 2006
    The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?