Working systematically

  • The Games' Medals
    problem

    The Games' Medals

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

    Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?

  • Triangle Edges
    problem

    Triangle Edges

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

    How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

  • Here to There 1 2 3
    problem

    Here to There 1 2 3

    Age
    5 to 7
    Challenge level
    filled star filled star filled star
    Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
  • Four-Triangle Arrangements
    problem

    Four-Triangle Arrangements

    Age
    5 to 7
    Challenge level
    filled star filled star filled star
    How many different shapes can you make by putting four right- angled isosceles triangles together?
  • Stairs
    problem

    Stairs

    Age
    5 to 11
    Challenge level
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    This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
  • A smiling emoji and a sad emoji.
    problem

    Whose Face?

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

    These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.

  • Today's date - 01/06/2009
    problem

    Today's Date - 01/06/2009

    Age
    5 to 11
    Challenge level
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    What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
  • HexPentas
    problem

    HexPentas

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

    How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

  • Possible Pieces
    problem

    Possible Pieces

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

    Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?

  • A blue train carriage against a blue sky.
    problem

    Train Carriages

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

    Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?