Working systematically

  • Centred Squares
    problem

    Centred squares

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
  • Open Boxes
    problem

    Open boxes

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
  • Build it \Up more
    problem

    Build it up more

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    This task follows on from Build it Up and takes the ideas into three dimensions!
  • Build it up
    problem

    Build it up

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

    Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.