Factors and multiples

  • Magical Products
    problem

    Magical products

    Age
    11 to 14
    Challenge level
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    Can you place the nine cards onto a 3x3 grid such that every row, column and diagonal has a product of 1?
  • Beelines
    problem

    Beelines

    Age
    14 to 16
    Challenge level
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    Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

  • Substitution Transposed
    problem

    Substitution transposed

    Age
    11 to 16
    Challenge level
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    Substitution and Transposition all in one! How fiendish can these codes get?
  • Transposition cipher
    problem

    Transposition cipher

    Age
    11 to 16
    Challenge level
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    Can you work out what size grid you need to read our secret message?
  • Summing Consecutive Numbers
    problem

    Summing consecutive numbers

    Age
    11 to 14
    Challenge level
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    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Filling the gaps
    problem

    Filling the gaps

    Age
    14 to 16
    Challenge level
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    Which numbers can we write as a sum of square numbers?

  • Factor track
    problem

    Factor track

    Age
    7 to 11
    Challenge level
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    Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

  • Sieve of Eratosthenes
    problem

    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
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    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • A blue patchwork quilt draped over a white sofa.
    problem

    Alison's quilt

    Age
    11 to 14
    Challenge level
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    Nine squares are fitted together to form a rectangle. Can you find its dimensions?

  • Number Families
    problem

    Number families

    Age
    11 to 14
    Challenge level
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    How many different number families can you find?