Working systematically

  • 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

  • Three Way Mix Up
    problem

    Three Way Mix Up

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

    Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

  • A circle split into quarters coloured red, blue, green and orange.
    problem

    Four Colours

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

    Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

  • Two on Five
    problem

    Two on Five

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

    Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

  • Junior Frogs
    problem

    Junior Frogs

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

    Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

  • problem

    Teddy Town - Part Two

    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?

  • problem

    Teddy Town - Part Three

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

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

  • problem

    Teddy Town - Part Four

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

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

  • problem

    Teddy Town - Part Five

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

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