Multiplication and division

  • 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.

  • The Clockmaker's Birthday Cake
    problem

    The clockmaker's birthday cake

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
  • problem

    Which is quicker?

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

    Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

  • A Conversation Piece
    problem

    A conversation piece

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?
  • Clock Face
    problem

    Clock face

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

    Where can you draw a line on a clock face so that the numbers on both sides have the same total?

  • Gift Stacks
    problem

    Gift stacks

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Use the information to work out how many gifts there are in each pile.
  • Trebling
    problem

    Trebling

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

    Can you replace the letters with numbers? Is there only one solution in each case?

  • A Square of Numbers
    problem

    A square of numbers

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

    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • The Deca Tree
    problem

    The Deca Tree

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

    Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

  • problem

    A mixed-up clock

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

    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?