Time

  • An Unhappy End
    problem
    Favourite

    An Unhappy End

    Age
    11 to 14
    Challenge level

    Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

  • All in a jumble
    problem
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    All in a Jumble

    Age
    11 to 14
    Challenge level

    My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

  • Thousands and Millions
    problem
    Favourite

    Thousands and Millions

    Age
    11 to 14
    Challenge level

    Here's a chance to work with large numbers...

  • John's train is on time
    problem
    Favourite

    John's Train Is on Time

    Age
    11 to 14
    Challenge level

    A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?

  • Take a message soldier
    problem
    Favourite

    Take a Message Soldier

    Age
    14 to 18
    Challenge level

    A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

  • Circuit training
    problem

    Circuit Training

    Age
    14 to 16
    Challenge level
    Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?
  • Clocking off
    problem

    Clocking Off

    Age
    7 to 16
    Challenge level
    I found these clocks in the Arts Centre at the University of Warwick intriguing - do they really need four clocks and what times would be ambiguous with only two or three of them?
  • Crossing the Atlantic
    problem

    Crossing the Atlantic

    Age
    11 to 14
    Challenge level
    Every day at noon a boat leaves Le Havre for New York while another boat leaves New York for Le Havre. The ocean crossing takes seven days. How many boats will each boat cross during their journey?
  • Friday 13th
    problem

    Friday 13th

    Age
    11 to 14
    Challenge level
    Can you explain why every year must contain at least one Friday the thirteenth?
  • Millennium Leap
    problem

    Millennium Leap

    Age
    11 to 14
    Challenge level
    How many leap years will there be between 2001 and 3001?
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