Ratio and proportion

  • Zin Obelisk
    problem

    Zin obelisk

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    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

    Temperature

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Triathlon and Fitness
    problem

    Triathlon and fitness

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    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
    filled star filled star filled star

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

  • Oh for the mathematics of yesteryear
    problem

    Oh for the mathematics of yesteryear

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    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

    A chance to win?

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Mixed up mixture
    problem

    Mixed up mixture

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Can you fill in the mixed up numbers in this dilution calculation?

  • Nutrition and Cycling
    problem

    Nutrition and cycling

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

  • Contact
    problem

    Contact

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?