Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...
Change one equation in this pair of simultaneous equations very
slightly and there is a big change in the solution. Why?
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Which is bigger, n+10 or 2n+3? Can you find a good method of
answering similar questions?
When I park my car in Mathstown, there are two car parks to choose
from. Which car park should I use?
How many eggs should a bird lay to maximise the number of chicks
that will hatch? An introduction to optimisation.