Equivalent fractions, decimals and percentages

  • Terminating or not
    problem

    Terminating or not

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
  • Matching fractions
    problem

    Matching fractions

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

    Can you find different ways of showing the same fraction? Try this matching game and see.

  • Bryony's Triangle
    problem

    Bryony's triangle

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

    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Pride of Place
    problem

    Pride of place

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Two fractions have been placed on a number line. Where should another fraction be placed?
  • Doughnut percents
    problem

    Doughnut percents

    Age
    7 to 14
    Challenge level
    filled star filled star empty star
    A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
  • 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.
  • Power match
    problem

    Power match

    Age
    16 to 18
    Challenge level
    filled star empty star empty star
    Can you locate these values on this interactive logarithmic scale?
  • Round and round and round
    problem

    Round and round and round

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
  • Fractions jigsaw
    problem

    Fractions jigsaw

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    A jigsaw where pieces only go together if the fractions are equivalent.
  • Fractional Wall
    problem

    Fractional wall

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

    Using the picture of the fraction wall, can you find equivalent fractions?