Ratio and proportion

  • Toad in the Hole
    problem

    Toad in the Hole

    Age
    11 to 14
    Challenge level
    Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
  • Straw Scaffold
    problem

    Straw Scaffold

    Age
    11 to 14
    Challenge level
    Build a scaffold out of drinking-straws to support a cup of water
  • Small tomato seedlings in pink pots.
    problem

    Off the Cuff

    Age
    11 to 14
    Challenge level

    Can you work out the ratio of shirt types made by a factory, if you know the ratio of button types used?

  • Small pepper seedlings in turquoise pots.
    problem

    Double Cover

    Age
    11 to 14
    Challenge level

    Weekly Problem 3 - 2007
    What is the ratio of the area of the table covered twice, to the uncovered area?

  • A stone obelisk on a grassy hill.
    problem

    Zin Obelisk

    Age
    11 to 14
    Challenge level

    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.

  • Small tomato seedlings in pink pots.
    problem

    Tyre Wear

    Age
    11 to 14
    Challenge level

    A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?

  • Small tomato seedlings in pink pots.
    problem

    Washing Elephants

    Age
    11 to 14
    Challenge level

    How long will it take Mary and Nigel to wash an elephant if they work together?

  • Square Pegs
    problem

    Square Pegs

    Age
    11 to 14
    Challenge level

    Which is a better fit, a square peg in a round hole or a round peg in a square hole?

  • Do unto Caesar
    problem

    Do Unto Caesar

    Age
    11 to 14
    Challenge level

    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

    Oh for the Mathematics of Yesteryear

    Age
    11 to 14
    Challenge level

    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?

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