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On the Road

Four vehicles travelled on a road with constant velocities. The car overtook the scooter at 12 o'clock, then met the bike at 14.00 and the motorcycle at 16.00. The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00. At what time did the bike and the scooter meet?

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Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

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More Parabolic Patterns

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1
A 'temperature-time' graph has temperature on the vertical (y) axis and time on the horizontal (x) axis.
What would the temperature be after a short time has passed?
What would happen to the temperature as time passes?
 
A 'height-distance' graph has height on the vertical axis and distance on the horizontal axis...