Being resourceful

  • Teams
    problem
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    Teams

    Age
    16 to 18
    Challenge level
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    Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

  • Equation Attack
    problem
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    Equation Attack

    Age
    16 to 18
    Challenge level
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    The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

  • Curved square
    problem
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    Curved Square

    Age
    16 to 18
    Challenge level
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    Can you find the area of the central part of this shape? Can you do it in more than one way?

  • Giants
    problem
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    Giants

    Age
    16 to 18
    Challenge level
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    Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

  • The not-so-simple pendulum 1
    problem
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    The Not-So-Simple Pendulum 1

    Age
    16 to 18
    Challenge level
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    See how the motion of the simple pendulum is not-so-simple after all.

  • The not-so-simple pendulum 2
    problem
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    The Not-So-Simple Pendulum 2

    Age
    16 to 18
    Challenge level
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    Things are roughened up and friction is now added to the approximate simple pendulum

  • Cows and Sheep
    problem

    Cows and Sheep

    Age
    7 to 11
    Challenge level
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    Use your logical reasoning to work out how many cows and how many sheep there are in each field.