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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?...


 

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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