Being resilient

  • Curve fitter
    problem
    Favourite

    Curve Fitter

    Age
    14 to 18
    Challenge level
    2 out of 3

    This problem challenges you to find cubic equations which satisfy different conditions.

  • Always Perfect
    problem
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    Always Perfect

    Age
    14 to 18
    Challenge level
    2 out of 3

    Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

  • Snooker Frames
    problem
    Favourite

    Snooker Frames

    Age
    16 to 18
    Challenge level
    1 out of 3

    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
    Favourite

    Areas and Ratios

    Age
    16 to 18
    Challenge level
    2 out of 3

    Do you have enough information to work out the area of the shaded quadrilateral?

  • Giants
    problem
    Favourite

    Giants

    Age
    16 to 18
    Challenge level
    2 out of 3

    Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

  • So it's times!
    problem

    So It's Times!

    Age
    7 to 14
    Challenge level
    3 out of 3

    How will you decide which way of flipping over and/or turning the grid will give you the highest total?