Multiplication and division

  • Product Sudoku
    problem
    Favourite

    Product Sudoku

    Age
    11 to 16
    Challenge level
    2 out of 3

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • Magic potting sheds
    problem
    Favourite

    Magic Potting Sheds

    Age
    11 to 16
    Challenge level
    2 out of 3

    Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

  • More Magic Potting sheds
    problem
    Favourite

    More Magic Potting Sheds

    Age
    11 to 16
    Challenge level
    3 out of 3
    The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
  • Expenses
    problem
    Favourite

    Expenses

    Age
    14 to 16
    Challenge level
    2 out of 3

    What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?

  • Number rules - OK
    problem
    Favourite

    Number Rules - OK

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you produce convincing arguments that a selection of statements about numbers are true?

  • Double Digit
    problem

    Double Digit

    Age
    11 to 14
    Challenge level
    1 out of 3
    Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?
  • As Easy as 1,2,3
    problem

    As Easy as 1,2,3

    Age
    11 to 14
    Challenge level
    1 out of 3
    When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type 'TWO' it returns 2, and so on.
  • Two Many
    problem

    Two Many

    Age
    11 to 14
    Challenge level
    1 out of 3
    What is the least square number which commences with six two's?
  • Machines
    problem

    Machines

    Age
    7 to 11
    Challenge level
    1 out of 3
    What is happening at each box in these machines?
  • Mobile Numbers
    problem

    Mobile Numbers

    Age
    5 to 11
    Challenge level
    1 out of 3
    In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?