Area - squares and rectangles

  • Crazy Shading
    problem

    Crazy Shading

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

    Can you work out the fraction of the larger square that is covered by the shaded area?

  • Arc Area
    problem

    Arc Area

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

    What is the area of the shape enclosed by the line and arcs?

  • Diagonal Touch
    problem

    Diagonal Touch

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

    Weekly Problem 21 - 2012
    Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?

  • Sticky Tape
    problem

    Sticky Tape

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

    Work out the radius of a roll of adhesive tape.

  • Unusual Quadrilateral
    problem

    Unusual Quadrilateral

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

    This quadrilateral has an unusual shape. Are you able to find its area?

  • Symmetric Angles
    problem

    Symmetric Angles

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

    This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

  • Televisual Technology
    problem

    Televisual Technology

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

    If a new and an old television have screens of the same area, what is the ratio of their widths?

  • Flower Show
    problem

    Flower Show

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

    How long will it take six gardeners to dig six circular flower beds?

  • Eyelids
    problem

    Eyelids

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

    Can you work out the shaded area surrounded by these arcs?

  • Griddy Region
    problem

    Griddy Region

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

    Weekly Problem 34 - 2008
    What is the area of the region common to this triangle and square?