2D shapes and their properties

  • Triangle or No Triangle?
    problem

    Triangle or no triangle?

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

    Here is a selection of different shapes. Can you work out which ones are triangles, and why?

  • Rectangles with Dominoes
    problem

    Rectangles with dominoes

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?
  • Chain of Changes
    problem

    Chain of changes

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

    In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

  • Making Shapes
    problem

    Making shapes

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
  • Mrs Trimmer's String
    problem

    Mrs Trimmer's string

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

    Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

  • 2 Rings
    problem

    2 rings

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

    The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

  • Olympic rings
    problem

    Olympic rings

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

    Can you design your own version of the Olympic rings, using interlocking squares instead of circles?

  • Same Shapes
    problem

    Same shapes

    Age
    5 to 7
    Challenge level
    filled star filled star filled star
    How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?
  • problem

    Four triangles puzzle

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

    Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

  • 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?