Ratio and proportion

  • Straw Scaffold
    problem

    Straw Scaffold

    Age
    11 to 14
    Challenge level
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    Build a scaffold out of drinking-straws to support a cup of water
  • Mixing Paints
    problem
    Favourite

    Mixing Paints

    Age
    11 to 14
    Challenge level
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    Can you work out how to produce different shades of pink paint?

  • A stone obelisk on a grassy hill.
    problem

    Zin Obelisk

    Age
    11 to 14
    Challenge level
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    In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.

  • Temperature
    problem
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    Temperature

    Age
    11 to 14
    Challenge level
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    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Triathlon and Fitness
    problem
    Favourite

    Triathlon and Fitness

    Age
    11 to 14
    Challenge level
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    The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

  • Place value, integers, ordering and rounding - Short Problems
    problem

    Washing Elephants

    Age
    11 to 14
    Challenge level
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    How long will it take Mary and Nigel to wash an elephant if they work together?

  • Do unto Caesar
    problem

    Do Unto Caesar

    Age
    11 to 14
    Challenge level
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    At the beginning of the night three poker players; Alan, Bernie and Craig had money in the ratios 7 : 6 : 5. At the end of the night the ratio was 6 : 5 : 4. One of them won $1 200. What were the assets of the players at the beginning of the evening?

  • Oh for the mathematics of yesteryear
    problem
    Favourite

    Oh for the Mathematics of Yesteryear

    Age
    11 to 14
    Challenge level
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    A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?

  • A Chance to Win?
    problem
    Favourite

    A Chance to Win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Ratio Sudoku 2
    problem

    Ratio Sudoku 2

    Age
    11 to 16
    Challenge level
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    A Sudoku with clues as ratios.