Angles - points, lines and parallel lines

  • 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.

  • 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?

  • Cylinder Cutting
    problem

    Cylinder Cutting

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
  • 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 8  - Rhombi
    problem

    Logo Challenge 8 - Rhombi

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

    Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

  • 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?

  • Isosceles Meld
    problem

    Isosceles Meld

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

    Weekly Problem 9 - 2012
    What is the angle QPT in this diagram?

  • Angular Reflection
    problem

    Angular Reflection

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

    Weekly Problem 28 - 2013
    Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?

  • Robo-Turn
    problem

    Robo-Turn

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

    Weekly Problem 16 - 2007
    Can you figure out how far the robot has travelled by the time it is first facing due East?

  • Half Past Two
    problem

    Half Past Two

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

    Weekly Problem 21 - 2009
    What is the angle between the two hands of a clock at 2.30?