Area - squares and rectangles

  • Shape Draw
    problem

    Shape draw

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

    Use the information on these cards to draw the shape that is being described.

  • Tiles on a Patio
    problem

    Tiles on a patio

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How many ways can you find of tiling the square patio, using square tiles of different sizes?
  • Pebbles
    problem

    Pebbles

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

    Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

  • My New Patio
    problem

    My new patio

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
  • Making Boxes
    problem

    Making boxes

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

    Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

  • Rope Mat
    problem

    Rope mat

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How many centimetres of rope will I need to make another mat just like the one I have here?
  • Numerically Equal
    problem

    Numerically equal

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

    Can you draw a square in which the perimeter is numerically equal to the area?

  • Inside Seven Squares
    problem

    Inside seven squares

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

    What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

  • A Square in a Circle
    problem

    A square in a circle

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
  • More Transformations on a Pegboard
    problem

    More transformations on a pegboard

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

    Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.