Factors and multiples

  • problem

    The moons of Vuvv

    Age
    7 to 11
    Challenge level
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    The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

  • Spelling Circle
    problem

    Spelling circle

    Age
    7 to 11
    Challenge level
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    Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
  • Red Balloons, Blue Balloons
    problem

    Red balloons, blue balloons

    Age
    7 to 11
    Challenge level
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    Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
  • Tom's Number
    problem

    Tom's number

    Age
    7 to 11
    Challenge level
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    Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
  • problem

    Flashing lights

    Age
    7 to 11
    Challenge level
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    Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

  • problem

    Abundant numbers

    Age
    7 to 11
    Challenge level
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    48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

  • Zios and Zepts
    problem

    Zios and Zepts

    Age
    7 to 11
    Challenge level
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    On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

  • Mathematical Swimmer
    problem

    Mathematical swimmer

    Age
    11 to 14
    Challenge level
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    Can you work out how many lengths I swim each day?
  • What is Ziffle?
    problem

    What is ziffle?

    Age
    7 to 11
    Challenge level
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    Can you work out what a ziffle is on the planet Zargon?

  • What Two ...?
    problem

    What two ...?

    Age
    7 to 11
    Challenge level
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    56 406 is the product of two consecutive numbers. What are these two numbers?