Being resourceful

  • Arithmagons
    problem
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    Arithmagons

    Age
    11 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges?

  • Semi-regular Tessellations
    problem
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    Semi-Regular Tessellations

    Age
    11 to 16
    Challenge level
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    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • Charlie's delightful machine
    problem
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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?

  • Statistical shorts
    problem
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    Statistical Shorts

    Age
    11 to 16
    Challenge level
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    Can you decide whether these short statistical statements are always, sometimes or never true?

  • Multiple Surprises
    problem
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    Multiple Surprises

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

  • Countdown fractions
    problem
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    Countdown Fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.

  • Funny Factorisation
    problem
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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?

  • problem
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    Marbles in a Box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Product Sudoku
    problem
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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.