Combinations

  • problem

    Two dice

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

    Find all the numbers that can be made by adding the dots on two dice.

  • Red Express Train
    problem

    Red express train

    Age
    5 to 7
    Challenge level
    filled star empty star empty star
    The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
  • Five Coins
    problem

    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?
  • 3 blocks towers
    problem

    Three block towers

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

    Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

  • problem

    Noah

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

    Noah saw 12 legs walk by into the Ark. How many creatures did he see?

  • problem

    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?

  • Halloween Investigation
    problem

    Halloween investigation

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks. How many possible costumes could they make?
  • Penta Place
    problem

    Penta place

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?
  • Let's Investigate Triangles
    problem

    Let's investigate triangles

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

    Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

  • Making Cuboids
    problem

    Making cuboids

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?