Factors and multiples

  • Differences
    problem
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    Differences

    Age
    11 to 14
    Challenge level
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    Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

  • One to Eight
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    One to Eight

    Age
    11 to 14
    Challenge level
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    Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.

  • Cuboids
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    Cuboids

    Age
    11 to 14
    Challenge level
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    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Diagonal Product Sudoku
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    Diagonal Product Sudoku

    Age
    11 to 16
    Challenge level
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    Given the products of diagonally opposite cells - can you complete this Sudoku?

  • Charlie's delightful machine
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Robotic Rotations
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    Robotic Rotations

    Age
    11 to 16
    Challenge level
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    How did the the rotation robot make these patterns?

  • Funny Factorisation
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    Funny Factorisation

    Age
    11 to 16
    Challenge level
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    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

  • Take Three From Five
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    Take Three From Five

    Age
    11 to 16
    Challenge level
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    Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

  • Product Sudoku
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    Product Sudoku

    Age
    11 to 16
    Challenge level
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    The clues for this Sudoku are the product of the numbers in adjacent squares.