Multiplication and division

  • Ducking and Dividing
    game

    Ducking and Dividing

    Age
    7 to 11
    Challenge level

    Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?

  • Napier's Bones
    problem

    Napier's Bones

    Age
    7 to 11
    Challenge level

    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

    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
    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
    What is the sum of all the three digit whole numbers?
  • ABC
    problem

    ABC

    Age
    7 to 11
    Challenge level

    In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks.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
    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

    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

    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?

  • Charitable Pennies
    problem

    Charitable Pennies

    Age
    7 to 14
    Challenge level

    Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

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