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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.

Electric Kettle

Stage: 4 Challenge Level: Challenge Level:1
It is not envisaged that this problem would be used as a class problem.  It is more appropriate for an enthusiastic student or small group of students looking for a challenge to work on independently.