Time
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listHere's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings? -
problemWalk and ride
How far have these students walked by the time the teacher's car reaches them after their bus broke down? -
problemPlace 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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problemBuses
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? -
problemAn 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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problemAll in a jumble
My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
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problemN is a number
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? -
problemA problem of time
Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7? -
problemTake a message soldier
A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?