2D shapes and their properties

  • Property chart
    problem

    Property chart

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

    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Opposite vertices
    problem

    Opposite vertices

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

    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • Efficient cutting
    problem

    Efficient cutting

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Square It
    problem

    Square it

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Parallelogram It
    problem

    Parallelogram it

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • Yellow drawstring bag.
    problem

    Gym bag

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

    Can Jo make a gym bag for her trainers from the piece of fabric she has?

  • Rhombus It
    problem

    Rhombus it

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • problem

    Salinon

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

    This shape comprises four semi-circles. What is the relationship between the area of the shaded region and the area of the circle on AB as diameter?

  • Efficient packing
    problem

    Efficient packing

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    How efficiently can you pack together disks?
  • Curvy areas
    problem

    Curvy areas

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

    Have a go at creating these images based on circles. What do you notice about the areas of the different sections?