Working systematically

  • Thinking Mathematically - Short Problems
    problem

    Solve Me!

    Age
    16 to 18
    Challenge level
    1 out of 3

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

  • Trig identity
    problem

    Trig Identity

    Age
    16 to 18
    Challenge level
    1 out of 3

    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
    1 out of 3

    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
    1 out of 3

    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
    1 out of 3

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

  • Function Pyramids
    problem

    Function Pyramids

    Age
    16 to 18
    Challenge level
    1 out of 3

    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
    1 out of 3

    Explore the strange geometrical properties of the Koch Snowflake.

  • Exhaustion
    problem

    Exhaustion

    Age
    16 to 18
    Challenge level
    2 out of 3

    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
    2 out of 3

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

  • Max throw
    problem

    Max Throw

    Age
    16 to 18
    Challenge level
    2 out of 3

    At what angle should you throw something to maximise the distance it travels?