Percentages

  • Percentage Unchanged
    problem

    Percentage unchanged

    Age
    14 to 16
    Challenge level
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    If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?
  • Activities on the Gattegno Chart
    article

    Activities on the Gattegno chart

    In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

  • Would You Rather?
    problem

    Would you rather?

    Age
    7 to 11
    Challenge level
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    Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

  • Retiring to paradise
    problem

    Retiring to paradise

    Age
    11 to 14
    Challenge level
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    When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?
  • Planning a School Trip
    problem

    Planning a school trip

    Age
    7 to 11
    Challenge level
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    You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
  • Doughnut percents
    problem

    Doughnut percents

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

    Better spelling

    Age
    11 to 14
    Challenge level
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    Weekly Problem 12 - 2010
    Can Emily increase her average test score to more than $80$%? Find out how many more tests she must take to do so.
  • Slightly Outnumbered
    problem

    Slightly outnumbered

    Age
    11 to 14
    Challenge level
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    If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
  • The Legacy
    problem

    The legacy

    Age
    14 to 16
    Challenge level
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    Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?
  • Margins
    problem

    Margins

    Age
    11 to 14
    Challenge level
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    Weekly Problem 16 - 2008
    A 30cm x 40cm page of a book includes a 2cm margin on each side... What percentage of the page is occupied by the margins?