Time

  • Buses
    problem

    Buses

    Age
    11 to 14
    Challenge level

    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

    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...

  • Small tomato seedlings in pink pots.
    problem

    Out of Sync

    Age
    11 to 14
    Challenge level

    Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?

  • Small pepper seedlings in turquoise pots.
    problem

    Decimal Clock

    Age
    11 to 14
    Challenge level

    A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?

  • Small pepper seedlings in turquoise pots.
    problem

    Don't Be Late

    Age
    11 to 14
    Challenge level

    Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

  • Speedy Sidney
    problem

    Speedy Sidney

    Age
    11 to 14
    Challenge level

    Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?

  • Hello Again
    problem

    Hello Again

    Age
    11 to 14
    Challenge level

    Anne completes a circuit around a circular track in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?

  • John's train is on time
    problem

    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?

  • N is a Number
    problem

    N Is a Number

    Age
    11 to 14
    Challenge level
    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?
  • In Constantly Passing
    problem

    In Constantly Passing

    Age
    14 to 16
    Challenge level

    A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same direction. Buses leave the depot at regular intervals; they travel along the dual carriageway and back to the depot at a constant speed. At what interval do the buses leave the depot?

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