Multiplication and division

  • Number the Sides
    problem

    Number the Sides

    Age
    7 to 11
    Challenge level
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    The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
  • Rabbits in the pen
    problem

    Rabbits in the Pen

    Age
    7 to 11
    Challenge level
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    Using the statements, can you work out how many of each type of rabbit there are in these pens?
  • Bundles of Cubes
    problem

    Bundles of Cubes

    Age
    7 to 11
    Challenge level
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    Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

  • Ducking and Dividing
    game

    Ducking and Dividing

    Age
    7 to 11
    Challenge level
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    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
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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?