Percentages

  • Better Spelling
    problem

    Better Spelling

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    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.
  • Trusting the Tabloids
    problem

    Trusting the Tabloids

    Age
    11 to 16
    Challenge level
    filled star filled star empty star
    Can you match the cards and figure out whether the tabloid headlines can be trusted?
  • Round and Round
    problem

    Round and Round

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Prove that the shaded area of the semicircle is equal to the area of the inner circle.
  • Antifreeze
    problem

    Antifreeze

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    How much more antifreeze is needed to make the proportion 30%?
  • Percentage Swap
    problem

    Percentage Swap

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    What is 50% of 2007 plus 2007% of 50?
  • Margins
    problem

    Margins

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    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?
  • Percentage Unchanged
    problem

    Percentage Unchanged

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?
  • Antiques Roadshow
    problem

    Antiques Roadshow

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Last year, on the television programme Antiques Roadshow... work out the approximate profit.
  • Slightly Outnumbered
    problem

    Slightly Outnumbered

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
  • You Never Get a Six
    problem

    You Never Get a Six

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

    Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.