Year 11+ Being resilient

  • Last Biscuit
    game

    Last biscuit

    Age
    11 to 18
    Challenge level
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    Can you find a strategy that ensures you get to take the last biscuit in this game?

  • Data matching
    problem

    Data matching

    Age
    14 to 18
    Challenge level
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    Use your skill and judgement to match the sets of random data.

  • Vector walk
    problem

    Vector walk

    Age
    14 to 18
    Challenge level
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    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Mega Quadratic Equations
    problem

    Mega quadratic equations

    Age
    14 to 18
    Challenge level
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    What do you get when you raise a quadratic to the power of a quadratic?

  • All tangled up
    problem

    All tangled up

    Age
    14 to 18
    Challenge level
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    Can you tangle yourself up and reach any fraction?

  • Back fitter
    problem

    Back fitter

    Age
    14 to 18
    Challenge level
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    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

  • Kite in a Square
    problem

    Kite in a square

    Age
    14 to 18
    Challenge level
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    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Snooker Frames
    problem

    Snooker frames

    Age
    16 to 18
    Challenge level
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    It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

  • Areas and Ratios
    problem

    Areas and ratios

    Age
    16 to 18
    Challenge level
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    Do you have enough information to work out the area of the shaded quadrilateral?

  • Giants
    problem

    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 ?

  • Brimful
    problem

    Brimful

    Age
    16 to 18
    Challenge level
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    Can you find the volumes of the mathematical vessels?

  • Crazy Cannons
    problem

    Crazy cannons

    Age
    16 to 18
    Challenge level
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    Two cannons are fired at one another and the cannonballs collide... what can you deduce?

  • Frosty the Snowman
    problem

    Frosty the Snowman

    Age
    16 to 18
    Challenge level
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    Frosty the Snowman is melting. Can you use your knowledge of differential equations to find out how his volume changes as he shrinks?

  • The Derren Brown coin flipping scam
    problem

    The Derren Brown coin flipping scam

    Age
    16 to 18
    Challenge level
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    Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

  • Tri-angled Trig
    problem

    Tri-angled trig

    Age
    16 to 18
    Challenge level
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    Can you justify this equation involving three angles?