Factors and multiples

  • A section of a bracelet made of colourful beads.
    problem

    Bracelets

    Age
    7 to 11
    Challenge level
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    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • problem

    Sweets in a box

    Age
    7 to 11
    Challenge level
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    How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

  • 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?

  • 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?

  • 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?

  • 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?

  • 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'.
  • 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?
  • 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?

  • problem

    Multiplication squares

    Age
    7 to 11
    Challenge level
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    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.