I'll share with you guys the general idea of how to score big or at least just enough to get all the medals in any of the 3 sets of challenges (except combat training, because that one isn't about scoring high). It still takes a little practice. I myself did all of them once I was done with my first playthrough and well used to Batman and his moves. Big guys, armored enemies, martial artists and Bane's thugs make the following technique a bit more tricky to pull off, but it's still so very possible - if you don't let them kill your combo.
Start any fight by hitting (
) on the first guy in front of you as many times as you can, up to 3.
Counter (
) before being hit by someone else (avoid guys with knives, so if they attack you first, evade and start again with another group or using them as the target to start the combo) as many times as necessary (up to 3 enemies).
Now that your combo meter is at 4, evade an enemy and hit him in the back. You'll be able to perform a special move (assuming you have all upgrades) so you can do the Bat Swarm (
+
).
From now on you just have to keep hitting 3 NORMAL/ORDINARY enemies (those who don't block your attacks) and performing the Bat Swarm combo. The higher your combo, the more points you get for executing the move. If you're able to perform, let's say, more than 3 Bat Swarm (the more, the better) without being hit in one round, you'll earn good points. Yeah, you might pass the bonus for performing different variations of moves, but it's still more worthwhile this way.
Another thing to have in mind is that once you're able to use the Shock Gloves (
+
), instead of having to hit enemies 3x to earn the special move, it decreases to 2, which is really great, specially considering that now none of the enemies is able to block your attacks, so it's pretty much hit
, hit
, Bat Swarm
+
and repeat.
When there are only 2 enemies left, you probably won't be able to continue to perform the special, so here's what to do: you can get rid of one of them any way you want or you can work with both of them, without loosing the combo (a bit more risky). Perform the Ultra Stun (
+
+
) on him/them (one at a time) and finish the round with Ground Takedowns (
+
).
As I said at the beginning, some rounds will be more challenging because of the special enemies. In that case, my advice is to take them first or last, depending if you can manage having them around and avoid their charges. Maybe it's best to take some of them down first, so you don't risk hitting them by accident and loosing your combo. It really depends on you. It's possible to perform some beatdowns (
,
,
,
...) on these special enemies just to earn special moves and letting go of the beatdown (stopping hitting
) when ready to perform the special move, then rinse and repeat until the special enemy falls. There's always the chance that some enemy wasn't stunned by your last Swarm and will come at you to make you loose the ongoing combo, so be ready to counter.
Anyways, this is the general idea. Using this method sometimes I was able to save a whole attempt that I had messed up, on the very last round.
If this solution helps you in any way, give it a thumbs up and leave a comment.