Multiplication and division

  • Napier's Bones
    problem

    Napier's Bones

    Age
    7 to 11
    Challenge level
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    The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?

  • Sometimes we lose things
    problem

    Sometimes We Lose Things

    Age
    7 to 11
    Challenge level
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    Well now, what would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way and have a look at the multiplications table.
  • The 24 Game
    problem

    The 24 Game

    Age
    7 to 11
    Challenge level
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    There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?
  • Sam's Quick Sum
    problem

    Sam's Quick Sum

    Age
    7 to 11
    Challenge level
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    What is the sum of all the three digit whole numbers?
  • ABC
    problem

    ABC

    Age
    7 to 11
    Challenge level
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    In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

  • Practice Run
    problem

    Practice Run

    Age
    7 to 11
    Challenge level
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    Chandrika was practising a long distance run. Can you work out how long the race was from the information?
  • Divide it out
    problem

    Divide It Out

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

    One Million to Seven

    Age
    7 to 11
    Challenge level
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    Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
  • A First Product Sudoku
    problem

    A First Product Sudoku

    Age
    7 to 14
    Challenge level
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    Given the products of adjacent cells, can you complete this Sudoku?

  • Charitable Pennies
    problem

    Charitable Pennies

    Age
    7 to 14
    Challenge level
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    Investigate the different ways that fifteen schools could have given money in a charity fundraiser.