Being resilient

  • 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.

  • Partly Painted Cube
    problem

    Partly painted cube

    Age
    14 to 16
    Challenge level
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    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • Tower of Hanoi
    problem

    Tower of Hanoi

    Age
    11 to 14
    Challenge level
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    The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

  • Nice or Nasty
    problem

    Nice or nasty

    Age
    7 to 11
    Challenge level
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    There are nasty versions of this dice game but we'll start with the nice ones...

  • Strike it out
    problem

    Strike it out

    Age
    5 to 11
    Challenge level
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    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • 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?

  • 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?

  • Speeding boats
    problem

    Speeding boats

    Age
    14 to 16
    Challenge level
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    Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
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    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • Brimful
    problem

    Brimful

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