I mean, induction is easy.
The other two even then are just learning to think, which comes with practice and is often done better without a teacher. It's like ice skating - if you spend your whole session on the wall, you'll never learn how to move without it.
Nope.
Induction, circle geometry and inequality proofs do
not make up the entire topic, even though they're what's specified in the syllabus.
I have seen:
- proof by contradiction
- telescoping sums
- advanced manipulation of geometric series
- very strange substitutions in limits
- squeeze law
- induction mixed with every single topic out there
- the wildest shit possible with combinatorics
and more. Like, when I look at them now I can do the majority. But when you're not necessarily introduced to any of that stuff altogether, and you have to jump straight into moderate-advanced difficulty questions without a warm-up, for a Yr 12 student that's daunting.