Angles in polygons

  • Logo Challenge 3 - Star Square
    problem

    Logo Challenge 3 - Star Square

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

    Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles

  • 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?
  • Plaid patterned bow tie.
    problem

    Bow Tie

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

    Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

  • LOGO Challenge 4 - Squares to Procedures
    problem

    Logo Challenge 4 - Squares to Procedures

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

    This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.

  • Dodecawhat
    problem

    Dodecawhat

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

    Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

  • Angles in Three Squares
    problem

    Angles in Three Squares

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Drawing the right diagram can help you to prove a result about the angles in a line of squares.
  • Pentakite
    problem

    Pentakite

    Age
    14 to 18
    Challenge level
    filled star empty star empty star

    Given a regular pentagon, can you find the distance between two non-adjacent vertices?

  • Road maker 2
    problem

    Road Maker 2

    Age
    16 to 18
    Challenge level
    filled star filled star filled star
    Can you work out where the blue-and-red brick roads end?