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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


This problem follows on from Parallel Lines

Alter the positions of the lines by moving the points.



Position the lines so that they are perpendicular to each other.
Try various arrangements.

What can you say about the equations of perpendicular lines?
 

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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