Time

  • Small pepper seedlings in turquoise pots.
    problem

    Half Past Two

    Age
    11 to 14
    Challenge level

    Weekly Problem 21 - 2009
    What is the angle between the two hands of a clock at 2.30?

  • Race Time
    problem

    Race Time

    Age
    11 to 14
    Challenge level

    Frank and Gabriel competed in a 200m race. Interpret the different units used for their times to work out who won.

  • 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?

  • Decimal Clock
    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?

  • Don't Be Late
    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?

  • 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?

  • Hand Swap
    problem

    Hand Swap

    Age
    14 to 16
    Challenge level

    My train left London between 6 a.m. and 7 a.m. and arrived in Paris between 9 a.m. and 10 a.m. At the start and end of the journey the hands on my watch were in exactly the same positions but the minute hand and hour hand had swopped places. What time did the train leave London and how long did the journey take?

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