Multiplication and division

  • Legs Eleven
    problem

    Legs eleven

    Age
    11 to 14
    Challenge level
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    Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

  • 3388
    problem

    3388

    Age
    11 to 14
    Challenge level
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    Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

  • Peaches today, Peaches tomorrow...
    problem

    Peaches today, peaches tomorrow...

    Age
    11 to 14
    Challenge level
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    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • One O Five
    problem

    One o five

    Age
    11 to 14
    Challenge level
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    You can work out the number someone else is thinking of as follows. Ask a friend to think of any natural number less than 100. Then ask them to tell you the remainders when this number is divided by 3, 5 and by 7...

  • Please Explain
    problem

    Please explain

    Age
    11 to 14
    Challenge level
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    Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain why this works.

  • Plastic human skeleton on a blue background.
    problem

    Skeleton

    Age
    11 to 14
    Challenge level
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    Can you reconstruct the long division calculation from the 'skeleton'?

  • What is the question?
    problem

    What is the question?

    Age
    11 to 16
    Challenge level
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    These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?
  • Countdown fractions
    problem

    Countdown fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.

  • Funny Factorisation
    problem

    Funny factorisation

    Age
    11 to 16
    Challenge level
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    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

  • Product Sudoku
    problem

    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.