2D shapes and their properties

  • Seeing Squares
    problem

    Seeing squares

    Age
    5 to 11
    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.

  • 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?

  • Shaping It
    problem

    Shaping it

    Age
    5 to 11
    Challenge level
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    These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
  • Sorting Logic Blocks
    problem

    Sorting logic blocks

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

    This activity focuses on similarities and differences between shapes.

  • Shapely Lines
    problem

    Shapely lines

    Age
    5 to 7
    Challenge level
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    This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

  • Quad match
    problem

    Quad match

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

    A task which depends on members of the group noticing the needs of others and responding.

  • What shape?
    problem

    What shape?

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

    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

  • Jig Shapes
    problem

    Jig shapes

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

    Can you each work out what shape you have part of on your card? What will the rest of it look like?

  • Contact Circles
    problem

    Contact circles

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    These four touching circles have another circle hiding amongst them...
  • Circle Time
    problem

    Circle time

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?