Fractions

  • Mixing Lemonade
    problem

    Mixing lemonade

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you work out which drink has the stronger flavour?

  • Diminishing Returns
    problem

    Diminishing returns

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    How much of the square is coloured blue? How will the pattern continue?

  • Reductant ratios
    problem

    Reductant ratios

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    What does the empirical formula of this mixture of iron oxides tell you about its consituents?
  • the greedy algorithm
    problem

    The greedy algorithm

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

  • Keep it simple
    problem

    Keep it simple

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can all unit fractions be written as the sum of two unit fractions?

  • The genes of Gilgamesh
    problem

    The genes of Gilgamesh

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Can you work out the parentage of the ancient hero Gilgamesh?

  • Counting Fish
    problem

    Counting fish

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    I need a figure for the fish population in a lake. How does it help to catch and mark 40 fish?

  • All tangled up
    problem

    All tangled up

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    Can you tangle yourself up and reach any fraction?

  • More Twisting and Turning
    problem

    More twisting and turning

    Age
    11 to 16
    Challenge level
    filled star filled star empty star

    It would be nice to have a strategy for disentangling any tangled ropes...