Working systematically

  • Beads and bags
    problem
    Favourite

    Beads and Bags

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
  • Seeing Squares
    problem
    Favourite

    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.

  • Half Time
    problem
    Favourite

    Half Time

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

    What could the half time scores have been in these Olympic hockey matches?

  • 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?

  • Rolling that cube
    problem
    Favourite

    Rolling That Cube

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

    My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

  • Train Carriages
    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?
  • problem
    Favourite

    Teddy Town

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

    There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

  • Five Coins
    problem
    Favourite

    Five Coins

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

    Ben has five coins in his pocket. How much money might he have?

  • problem

    Ladybird Box

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

    Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

  • Coloured counters on a white background. One green counter is surrounded by six blue counters.
    problem

    Three by Three

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

    Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column