Time

  • Approaching Midnight
    list

    Approaching midnight

    Age
    7 to 14
    Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?
  • Walk and Ride
    problem

    Walk and ride

    Age
    7 to 14
    Challenge level
    filled star filled star filled star
    How far have these students walked by the time the teacher's car reaches them after their bus broke down?
  • Place your orders
    problem

    Place your orders

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

    Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

  • Buses
    problem

    Buses

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?
  • An Unhappy End
    problem

    An unhappy end

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

    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

    All in a jumble

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

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

  • N is a Number
    problem

    N is a number

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    N people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road?
  • A Problem of time
    problem

    A problem of time

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
  • Take a message soldier
    problem

    Take a message soldier

    Age
    14 to 18
    Challenge level
    filled star filled star empty star

    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?