Area - squares and rectangles

  • Inside Seven Squares
    problem

    Inside Seven Squares

    Age
    7 to 11
    Challenge level

    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
    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?
  • Making Squares
    problem

    Making Squares

    Age
    7 to 11
    Challenge level
    Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
  • A day with Grandpa
    problem

    A Day With Grandpa

    Age
    7 to 11
    Challenge level

    Grandpa was measuring a rug using yards, feet and inches. Can you help William to work out its area?

  • Cylinder Cutting
    problem

    Cylinder Cutting

    Age
    7 to 11
    Challenge level
    An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
  • Cover the tray
    problem

    Cover the Tray

    Age
    7 to 11
    Challenge level

    These practical challenges are all about making a 'tray' and covering it with paper.

  • Small pepper seedlings in turquoise pots.
    problem

    3×3 Areas

    Age
    11 to 14
    Challenge level

    Which of the following shaded regions has an area different from the other shaded regions?

  • Small pepper seedlings in turquoise pots.
    problem

    Mid-Point Area

    Age
    11 to 14
    Challenge level

    M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?

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