Speed and acceleration

  • One and three
    problem
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    One and Three

    Age
    14 to 16
    Challenge level
    Two motorboats travelling up and down a lake at constant speeds leave opposite ends A and B at the same instant, passing each other, for the first time 600 metres from A, and on their return, 400 metres from B. How long is the lake?
  • John's train is on time
    problem
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    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?
  • problem
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    Take Your Dog for a Walk

    Age
    7 to 11
    Challenge level

    Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

  • How far does it move?
    problem
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    How Far Does It Move?

    Age
    11 to 14
    Challenge level

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

  • Place your orders
    problem
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    Place Your Orders

    Age
    11 to 14
    Challenge level

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

  • An Unhappy End
    problem
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    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...

  • Speeding up, slowing down
    problem
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    Speeding Up, Slowing Down

    Age
    11 to 14
    Challenge level

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • Triathlon and Fitness
    problem
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    Triathlon and Fitness

    Age
    11 to 14
    Challenge level

    The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

  • Up and across
    problem
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    Up and Across

    Age
    11 to 14
    Challenge level

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

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