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Speedy Sidney

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?

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Illusion

A security camera, taking pictures each half a second, films a cyclist going by. In the film, the cyclist appears to go forward while the wheels appear to go backwards. Why?

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Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

John's Train Is on Time

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

I think it is reasonable to assume that the train leaves on a whole number of minutes.

How many degrees do the hour and minute hands travel in a minute?

Can you form an equation that equates the angular distances travelled when the hour and minute hands coincide?