Multiplication and division

  • Product Sudoku
    problem
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    Product Sudoku

    Age
    11 to 16
    Challenge level
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    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • Magic potting sheds
    problem
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    Magic Potting Sheds

    Age
    11 to 16
    Challenge level
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    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
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    More Magic Potting Sheds

    Age
    11 to 16
    Challenge level
    filled star filled star filled star
    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
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    Expenses

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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

  • Number rules - OK
    problem
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    Number Rules - OK

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    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
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    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
    filled star empty star empty star
    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
    filled star empty star empty star
    What is the least square number which commences with six two's?
  • Machines
    problem

    Machines

    Age
    7 to 11
    Challenge level
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    What is happening at each box in these machines?
  • Interstellar
    problem

    Interstellar

    Age
    11 to 14
    Challenge level
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    What number could replace * so that */5 is between 3 and 4?