I live in Australia and I will be doing my final high school mathematics test in 5 months from today. The test is about the following topics:
- Differentiation and Integration and their applications (Maxima/minima problems, volumes, motion [simple harmonic, projectile, circular and resisted motion], conical pendulum and banked tracks)
Series and sequences, mathematical induction and analysis
Inequalities (similar to ones in IMO)
Probability, combinatorics and binomial probability.
Here are some examples of past exam papers:
The test starts of very easy then gradually gets harder. I'm confident that I can get most of the questions correct but timing is a problem as it is difficult to get the whole test done in the time allowed.
Many people, including my teacher, told me that the best way to prepare is to do as many of these papers as possible in timed conditions. Do you agree with that? The problem is that doing the same thing with slightly different questions over and over is very boring :(