You may also like

On the Road

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


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

Perpendicular Lines

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Graphical Triangle

Age 14 to 16 Short Challenge Level:

What is the area of the triangle formed by the three lines whose equations are given below?$$y-x=6\qquad x-2y=3\qquad x+y=6$$

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.