Working systematically

  • Snooker
    problem

    Snooker

    Age
    16 to 18
    Challenge level

    A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

  • Thinking Mathematically - Short Problems
    problem

    Solve Me!

    Age
    16 to 18
    Challenge level

    Can you use numerical methods to solve this equation to 1 decimal place?

  • Trig identity
    problem

    Trig Identity

    Age
    16 to 18
    Challenge level

    In this short challenge, can you use angle properties in a circle to figure out some trig identities?

  • Thinking Mathematically - Short Problems
    problem

    AP Train

    Age
    16 to 18
    Challenge level

    An arithmetic progression is shifted and shortened, but its sum remains the same...

  • Archimedes Numerical Roots
    problem

    Archimedes Numerical Roots

    Age
    16 to 18
    Challenge level

    How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

  • The right volume
    problem

    The Right Volume

    Age
    16 to 18
    Challenge level

    Can you rotate a curve to make a volume of 1?

  • Function Pyramids
    problem

    Function Pyramids

    Age
    16 to 18
    Challenge level

    A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

  • The Koch Snowflake
    problem

    The Koch Snowflake

    Age
    16 to 18
    Challenge level

    Explore the strange geometrical properties of the Koch Snowflake.

  • Exhaustion
    problem

    Exhaustion

    Age
    16 to 18
    Challenge level

    Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

  • Ante Up
    problem

    Ante Up

    Age
    16 to 18
    Challenge level

    Use cunning to work out a strategy to win this game.

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