Area - squares and rectangles

  • Small pepper seedlings in turquoise pots.
    problem

    Crazy Shading

    Age
    14 to 16
    Challenge level
    1 out of 3

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

  • Small pepper seedlings in turquoise pots.
    problem

    Arc Area

    Age
    14 to 16
    Challenge level
    1 out of 3

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

  • Small pepper seedlings in turquoise pots.
    problem

    Diagonal Touch

    Age
    14 to 16
    Challenge level
    2 out of 3

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

  • Small pepper seedlings in turquoise pots.
    problem

    Sticky Tape

    Age
    14 to 16
    Challenge level
    2 out of 3

    Work out the radius of a roll of adhesive tape.

  • Small pepper seedlings in turquoise pots.
    problem

    Unusual Quadrilateral

    Age
    14 to 16
    Challenge level
    2 out of 3

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

  • Small pepper seedlings in turquoise pots.
    problem

    Symmetric Angles

    Age
    14 to 16
    Challenge level
    2 out of 3

    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
    3 out of 3

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

  • Small tomato seedlings in pink pots.
    problem

    Flower Show

    Age
    14 to 16
    Challenge level
    3 out of 3

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

  • Small pepper seedlings in turquoise pots.
    problem

    Eyelids

    Age
    14 to 16
    Challenge level
    3 out of 3

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

  • Griddy Region
    problem

    Griddy Region

    Age
    14 to 16
    Challenge level
    3 out of 3

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