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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

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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.

Which Is Cheaper?

Age 14 to 16 Challenge Level:
A table might help:
 
Hours
parked
Cost
Car park A
Cost
Car Park B
1    
2    
3    
4    
5    
6    

Once you've constructed a table, how else might you represent the information?