Multiplication and division

  • Buckets of Thinking
    problem

    Buckets of thinking

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket.
  • Cubes within Cubes
    problem

    Cubes within cubes

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

  • Divide it out
    problem

    Divide it out

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
  • problem

    Multiplication squares

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

    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • Penta Post
    problem

    Penta post

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
  • All the Digits
    problem

    All the digits

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

    This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

  • Dividing a Cake
    problem

    Dividing a cake

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
  • Four goodness sake
    problem

    Four goodness' sake

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

    Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?

  • The tomato and the bean
    problem

    The tomato and the bean

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

    At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

  • A-magical number maze
    problem

    A-magical number maze

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!