Angles - points, lines and parallel lines

  • On Time
    problem

    On Time

    Age
    11 to 14
    Challenge level
    On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?
  • Flower
    problem

    Flower

    Age
    16 to 18
    Challenge level
    Six circles around a central circle make a flower. Watch the flower as you change the radii in this circle packing. Prove that with the given ratios of the radii the petals touch and fit perfectly.
  • Right Angle Challenge
    problem

    Right Angle Challenge

    Age
    5 to 7
    Challenge level

    How many right angles can you make using two sticks?

  • Take the Right Angle
    problem

    Take the Right Angle

    Age
    7 to 11
    Challenge level

    How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.

  • Sweeping Hands
    problem

    Sweeping Hands

    Age
    7 to 11
    Challenge level

    Use your knowledge of angles to work out how many degrees the hour and minute hands of a clock travel through in different amounts of time.

  • Overlapping Squares
    problem

    Overlapping Squares

    Age
    7 to 11
    Challenge level

    Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.

  • The Numbers give the design
    problem

    The Numbers Give the Design

    Age
    7 to 11
    Challenge level

    Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

  • Dotty Relationship
    problem

    Dotty Relationship

    Age
    7 to 11
    Challenge level

    Can you draw perpendicular lines without using a protractor? Investigate how this is possible.

  • A green clock with yellow and white hands.
    problem

    Clock Hands

    Age
    7 to 11
    Challenge level

    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

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

Displaying 31 - 40 of 70