Factors and multiples

  • Six in a Circle
    problem

    Six in a Circle

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?
  • Making Shapes
    problem

    Making Shapes

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

    Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

  • Nineteen Hexagons
    problem

    Nineteen Hexagons

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    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?
  • Mrs Trimmer's String
    problem

    Mrs Trimmer's String

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

    Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

  • Numbers as Shapes
    problem

    Numbers as Shapes

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

    Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

  • One of Thirty-Six
    problem

    One of Thirty-Six

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

    Can you find the chosen number from the grid using the clues?

  • Celebrate 25 Years of NRICH
    game

    Celebrate 25 Years of NRICH

    Age
    5 to 14

    To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?

  • Making Pathways
    problem

    Making Pathways

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

    Can you find different ways of creating paths using these paving slabs?

  • Space distances
    problem

    Space Distances

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

    This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

  • The three of hearts playing card on a green background.
    game

    Odds and Threes

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

    A game for 2 people using a pack of cards. Turn over 2 cards and try to make an odd number or a multiple of 3.