Speed and acceleration
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problemFavouriteTwo 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? -
problemFavouriteJohn's Train Is on Time
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? -
problemFavouriteTake Your Dog for a Walk
Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
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problemFavouriteHow Far Does It Move?
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.
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problemFavouritePlace Your Orders
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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problemFavouriteAn Unhappy End
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...
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problemFavouriteSpeeding Up, Slowing Down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
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problemFavouriteTriathlon and Fitness
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
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problemFavouriteUp and Across
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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problemFavouriteSpeed-Time Problems at the Olympics
Have you ever wondered what it would be like to race against Usain Bolt?