Factors and multiples

  • What does it all add up to?
    problem

    What does it all add up to?

    Age
    11 to 18
    Challenge level
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    If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
  • problem

    Three neighbours

    Age
    7 to 14
    Challenge level
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    Take three consecutive numbers and add them together. What do you notice?

  • Dicey Array
    game
    Favourite

    Dicey array

    Age
    5 to 11
    Challenge level
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    Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

  • Playing with factors and multiples
    article

    Playing with factors and multiples

    This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.

  • Public Key Cryptography
    article

    Public key cryptography

    An introduction to coding and decoding messages and the maths behind how to secretly share information.
  • Are you well Balanced?
    problem

    Are you well balanced?

    Age
    5 to 7
    Challenge level
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    Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

  • Rearranged Rectangle
    problem

    Rearranged rectangle

    Age
    7 to 11
    Challenge level
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    How many different rectangles can you make using this set of rods?

  • Neighbourly Addition
    problem

    Neighbourly addition

    Age
    7 to 14
    Challenge level
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    I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

  • Surprising Split
    problem

    Surprising split

    Age
    7 to 11
    Challenge level
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    Does this 'trick' for calculating multiples of 11 always work? Why or why not?

  • 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?