Factors and multiples

  • Graphing Number Patterns
    problem

    Graphing number patterns

    Age
    7 to 11
    Challenge level
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    Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?
  • problem

    Which is quicker?

    Age
    7 to 11
    Challenge level
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    Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

  • problem

    A mixed-up clock

    Age
    7 to 11
    Challenge level
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    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • Colour Wheels
    problem

    Colour wheels

    Age
    7 to 11
    Challenge level
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    Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

  • Number Tracks
    problem

    Number tracks

    Age
    7 to 11
    Challenge level
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    Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
  • Music to my Ears
    problem

    Music to my ears

    Age
    7 to 11
    Challenge level
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    Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

  • What's in the Box?
    problem

    What's in the box?

    Age
    7 to 11
    Challenge level
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    This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

  • What Do you Need?
    problem

    What do you need?

    Age
    7 to 11
    Challenge level
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    Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

  • Three Spinners
    problem

    Three spinners

    Age
    7 to 11
    Challenge level
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    These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?