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On the Road

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

Intersections

Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

Graphical Triangle

What is the area of the triangle formed by these three lines?

Perpendicular Lines

Age 14 to 16 Challenge Level:


You may want to take a look at Parallel Lines before attempting this problem.

Take a look at the interactivity below which allows you to move the vertices and make different squares.
The adjacent sides of a square are perpendicular to each other.
How would you describe going from one vertex to the next? And to the next? And to the next?...