Squares

  • LOGO Challenge  - The humble square
    problem

    LOGO challenge - the humble square

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

    Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.

  • Let Us Reflect
    problem

    Let us reflect

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

    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

  • Semi-detached
    problem

    Semi-detached

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.
  • Fitted
    problem

    Fitted

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

    Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

  • Diagrams
    problem

    Diagrams

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    A group activity using visualisation of squares and triangles.
  • Halving
    problem

    Halving

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

    These pictures show squares split into halves. Can you find other ways?

  • LOGO Challenge 5 - Patch
    problem

    LOGO challenge 5 - patch

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

    Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?