Factors, Multiples & Primes

  • Take Three From Five
    problem
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    Take Three From Five

    Age
    11 to 16
    Challenge level
    2 out of 3

    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
    problem
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    Product Sudoku

    Age
    11 to 16
    Challenge level
    2 out of 3

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • problem
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    Shopping Basket

    Age
    11 to 16
    Challenge level
    3 out of 3

    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • Beelines
    problem
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    Beelines

    Age
    14 to 16
    Challenge level
    1 out of 3

    Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

  • Expenses
    problem
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    Expenses

    Age
    14 to 16
    Challenge level
    2 out of 3

    What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?

  • Filling the gaps
    problem
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    Filling the Gaps

    Age
    14 to 16
    Challenge level
    2 out of 3

    Which numbers can we write as a sum of square numbers?

  • Latin Numbers
    problem
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    Latin Numbers

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you create a Latin Square from multiples of a six digit number?

  • LCM Sudoku
    problem
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    LCM Sudoku

    Age
    14 to 16
    Challenge level
    3 out of 3

    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

  • LCM Sudoku II
    problem
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    LCM Sudoku II

    Age
    14 to 16
    Challenge level
    3 out of 3

    You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.