Combinations

  • Nineteen Hexagons
    problem

    Nineteen Hexagons

    Age
    5 to 7
    Challenge level
    In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
  • Triangle Edges
    problem

    Triangle Edges

    Age
    5 to 7
    Challenge level

    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

    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?

  • Two and One
    problem

    Two and One

    Age
    5 to 7
    Challenge level

    Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

  • Four-Triangle Arrangements
    problem

    Four-Triangle Arrangements

    Age
    5 to 7
    Challenge level

    How many different shapes can you make by putting four right- angled isosceles triangles together?

  • A blue train carriage against a blue sky.
    problem

    Train Carriages

    Age
    5 to 11
    Challenge level

    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?

  • 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

    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

    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?

  • Two on Five
    problem

    Two on Five

    Age
    5 to 11
    Challenge level

    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?

  • problem

    Teddy Town - Part Two

    Age
    5 to 11
    Challenge level

    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?

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